Answers
Answer:
180 units
Step-by-step explanation:
In order to solve this, we need to find the length of the missing side of the triangle using the Pythagorean theorem.
a²+b²=c²
a= 7
b=x
c= 25
7²+x²=25²
49+x²=625
Subtract 49 from both sides
x²=576
x=24
The length of the missing side of the triangle is 24, which is also the base of the triangle. We need to find the area of the triangle so we use the formula for the area of a triangle, A=1/2bh.
A= 1/2 (24 x 7)
A=84
Now, we need to find the area of the rectangle.
Formula for area of rectangle: A= bh
A= bh
A= 4 x 24
A= 96
Next, we add the areas of both shapes to get the area of the entire figure.
96+84=180
Area of figure= 180
Answer:
area = 180
Step-by-step explanation:
will make it simple and short
area of a trapezoid = (a + b) h/2
h = sqrt(25² - 7²) = 24
Area = (4 + 11) * 24/2
area = 180
Related Questions
Find m∠WVT. A. 40 B. 45 C. 53 D. 50
Answers
Using the formula for the angle of a secant and tangent line
Angle V = (TW - UW)/2
Write the formula with the given information:
3x+4 = (14x+7 - 7x+11)/2
Simplify:
3x+ 4 = (7x -4)/2
Multiply both sides by 2:
6x + 8 = 7x-4
Add 4 to both sides:
6x+12 = 7x
Subtract 6x from both sides:
X = 12
Now replace x with 12 in angle v:
3(12) +4 = 35 + 4 = 40
The answer is A) 40
If f(x) = 3х2 +1 and g(x) = 1-х, what is the value of (f-g)(2)?
12
14
оооо
36
38
Answers
Answer:
( f - g)(2) = 14Step-by-step explanation:
f(x) = 3x² + 1
g(x) = 1 - x
To find (f - g)(2) first find (f - g)(x)
To find (f - g)(x) subtract g(x) from f(x)
That's
(f - g)(x) = 3x² + 1 - ( 1 - x)
(f - g)(x) = 3x² + 1 - 1 + x
(f - g)(x) = 3x² + x
To find ( f - g)(2) substitute 2 into (f - g(x)
That's
( f - g)(2) = 3(2)² + 2
( f - g)(2) = 3(4) + 2
( f - g)(2) = 12 + 2
We have the final answer as
( f - g)(2) = 14Hope this helps you
The sum of Rhonda and her daughter Tenica’s age is 64. The difference in their ages is 28. How old is each person?
Answers
Answer:
The mother (Rhoda) is 46 years old.
The daughter (Tenica) is 18 years old
Step-by-step explanation:
Let the age of the mother (Rhoda) be m
Let the age of the daughter (Tenica) be d.
The sum of Rhonda and her daughter Tenica’s age is 64. This can be written as:
m + d = 64 ... (1)
The difference in their ages is 28. This can be written as:
m – d = 28 ... (2)
From the above illustrations, the equation obtained are:
m + d = 64 ... (1)
m – d = 28 ... (2)
Solving by elimination method:
Add equation 1 and 2 together
. m + d = 64
+ m – d = 28
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
2m = 92
Divide both side by 2
m = 92/2
m = 46
Substitute the value of m into any of the equation to obtain the value of d. Here, we shall use equation 1
m + d = 64
m = 46
46 + d = 64
Collect like terms
d = 64 – 46
d = 18
Therefore, the mother (Rhoda) is 46 years old and the daughter (Tenica) is 18 years old.
Pregunta N° 1: ¿Cuántas fracciones propias e irreductibles con denominador 24 existen? 1 punto A) 2 B) 4 C) 6 D) 8 E) 10 Pregunta N° 2: ¿Cuántas fracciones impropias e irreductibles con numerador 25 existen? 1 punto A) 19 B) 21 C) 25 D) 29 E) 33 Pregunta N° 3: La edad de Miguel es 4/5 de la edad de su novia. Si las edades de los dos suman 63 años, calcule la edad de la novia de Miguel. 1 punto A) 20 años B) 26 años C) 32 años D) 35 años E) 40 años Pregunta N° 4: Si son las 8 a. m., ¿qué fracción del día ha transcurrido? 1 punto A) 1 B) 2 C) 1/2 D) 1/3 E) 1/5
ayuden porfavor
Answers
Answer:
Pregunta 1: Opcion D. 8
Pregunta 2: Opción A. 19 (aunque lo correcto es decir que son 20)
Pregunta 3: 28 años (no está como opción)
Pregunta 4: Opción D. 1/3
Step-by-step explanation:
Las fracciones irreductibles son aquellas que después de dividirlas por un común divisor, una vez que no se pueden dividir más se dice que son irreducibles, por lo tanto no existe ningún número que sea divisor común del numerador y del denominador más que 1.
Fracciones irreductibles con común denominador 24.
Como máximo divisor tenemos el 24 y como mínimo el 1
entre 1/24 y 1 estarán nuestras fracciones o sea:
1/24 < x/24 < 1. Ahora convertimos el 1 en fracción de 24, lo que sería 24/24 para igualar el numerador en ambos lados de la ecuación, para poder determinar x
1/24 < x/24 < 24/24
Como vemos que x tiene que estar entre 1 y 24, las respuestas serán:
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 y 23
Eliminamos los números divisores de 24, aquellos pares, y nos focalizamos en los que no podriamos dividir por nada con 24, o sea los números primos
5, 7, 11, 13, 17, 19, 23. Como nos falta el 1, obtenemos un total de 8 fracciones: 1/24, 5/24, 7/24, 11/24, 13/24, 17/24, 19/24, 23/24
Mismo procedimiento para el 25:
1/25 es una de las fracciones irreductibles. Pensamos en los valores de x
1/25 < x/25 < 25/25
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25
Los números divisibles por 25, son los multiplos de 5, asi que esas respuestas no irían. Las fracciones irreductibles son:
1/25, 2/25, 3/25, 4/25, 6/25, 7/25, 8/25, 9/25, 11/25, 12/25, 13/25, 14/25, 16/25, 17/25, 18/25, 19/25, 21/25, 22/25, 23/25 y 24/25 haciendo un total de
20. Por alguna razón está mal formulada la pregunta, son 20 pero no está como opción y como te piden fraccion impropia (numerador > denominador), contamos a partir de 26. FIjate que hasta el proximo entero que sería 50/25, también son 20 fracciones (irreductibles e impropias)
26/25, 27/25, 28/25, 29/25, 31/25, 32/25, 33/25, 34/25, 36/25, 37/25, 38/25, 39/25, 41/25, 42/25, 43/25, 44/25, 46/25, 47/25, 48/25, 49/25
Próxima pregunta:
Miguel tiene 4/5 de la edad de la novia, y ambas edades suman 63.
Plantiemos la siguiente ecuacion donde x es la edad de la novia
4/5x + x = 63
9/5x = 63
x = 63 . 5/9 (como 9/5 pasa al otro lado de la igualdad dividiendo, damos vuelta la fraccion multiplicandola)
x = 35
Si la novia tiene 35 años y la edad de Miguel es 4/5 de esa edad
4/5 .35 = (35 .4) /5 = 28
Es raro porque no está la respuesta como tal.
Próxima pregunta:
Al ser las 8 am, quiere decir que han pasado 8 horas de que empezó el día
y el día tiene 24 horas.
8 horas transcurridas / 24 horas totales = 1/3
look at picture and solve
Answers
solve equation show all steps 3/8x=36
Answers
Answer:
x = 96
Step-by-step explanation:
3/8x = 36
You have to multiply both sides of the equation by the inverse of the fraction to cancel it out.
(8/3)(3/8x) = (36)(8/3)
x = 96
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's solve your equation step-by-step.
[tex]\frac{3}{8}x=36[/tex]
Step 1: Multiply both sides by 8/3.
[tex]( \frac{8}{3} ) * ( \frac{3}{8}x) = ( \frac{8}{3} ) * ( 36)\\x = 96[/tex]
Answer : [tex]\boxed {x = 96}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
If this helped you, could you maybe give brainliest..?
Also Have a great day/night!
❀*May*❀
WILL GIVE BRAINLY PLEASE HELP!!!!!!!
Describe the type of correlation between two variables on the scatterplot. How do you know? Does the correlation between the variables imply causation? Explain
contains points:
(0.7,1.11)
(21.9,3.69)
(18,4)
(16.7,3.21)
(18,3.7)
(13.8,1.42)
(18,4)
(13.8,1.42)
(15.5,3.92)
(16.7,3.21)
Answers
Answer:
r² = 0.5652 < 0.7 therefore, the correlation between the variables does not imply causation
Step-by-step explanation:
The data points are;
X, Y
0.7, 1.11
21.9, 3.69
18, 4
16.7, 3.21
18, 3.7
13.8, 1.42
18, 4
13.8, 1.42
15.5, 3.92
16.7, 3.21
The correlation between the values is given by the relation
Y = b·X + a
[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]
[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]
Where;
N = 10
∑XY = 499.354
∑X = 153.1
∑Y = 29.68
∑Y² = 100.546
∑X² = 2631.01
(∑ X)² = 23439.6
(∑ Y)² = 880.902
From which we have;
[tex]b = \dfrac{10 \times 499.354 -153.1 \times 29.68}{10 \times 2631.01 - 23439.6} = 0.1566[/tex]
[tex]a = \dfrac{29.68 - 0.1566 \times 153.1}{10} = 0.5704[/tex]
[tex]r = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{\sqrt{\left [N\sum X^{2} - \left (\sum X \right )^{2} \right ]\times \left [N\sum Y^{2} - \left (\sum Y \right )^{2} \right ]}}[/tex]
[tex]r = \dfrac{10 \times 499.354 -153.1 \times 29.68}{\sqrt{\left (10 \times 2631.01 - 23439.6 \right )\times \left (10 \times 100.546- 880.902\right )} } = 0.7518[/tex]
r² = 0.5652 which is less than 0.7 therefore, there is a weak relationship between the variables, and it does not imply causation.
Let's see what it would take to win that trip to Hawaii.
Remember that you think you'll respond to 12 questions and hope to score 600 points to win,
although it's possible to score even more points or many fewer (including negative scores!) on
the show.
Here are the equations you wrote to model your winning scenario:
x+y=12
100x - 200y = 600
Are the boundaries of the first equation viable in the second equation? What does this
suggest about your plan to score 600 points?
Select the two correct statements.
Answers
Answer:
A and D choices (Plato)
Step-by-step explanation:
The upper boundary of the first equation is at x = 12, y = 0. With these values, this is the second equation:
100(12) − 200(0) = 1,200.
The lower boundary of the first equation is at x = 0, y = 12. With these values, this is the second equation:
100(0) − 200(12) = -2,400.
Both of these scores are possible in the game, so they are both viable.
Because the upper boundary is greater than 600, it suggests that you can still score 600 points and win the game even if you get one or two of the questions incorrect.
In fact, you could give 10 correct and 2 incorrect answers to score 600 points and still beat the champion, Kimberly, assuming she answers 15 correct and 5 incorrect to score 500 points.
The length of a rectangle is 5/6 feet. The width is 3/8 feet. How much greater is the length of the rectangle than the width?
Answers
Answer:
0.46 feet
Step-by-step explanation:
Length = 5/6 feet (or 0.254 m)
Width = 3/8 feet (or 0.114 m)
(5/6 - 3/8) feet = 11/24 feet or 0.46 feet (0.140 m)
When was the first Bible created?????
Answers
Answer:
Started- 1200BC
Moses wrote the book of Torah.
Ended- 96 CE
John wrote the last book, The book of 'revelation'
Step-by-step explanation:
It took 1400 years to write it.
40 people around 38 people wrote the Bible even though the main author of the book is Holy Spirit.
The Bible has 2 sections:
Old testamentNew testamentOld testament
Consists of 39 books.
Also referred to as taNaK which means the 'old testament' in Hebrew.
Based on the first five books of the testament (Torah or Pentateuch)
Written before the birth of Jesus Christ.
New testament
Consists of 27 books.
Written after the birth of Jesus Christ.
Based on the teachings and life of Christ (The Gospel).
Apocrypha:
Written between the Old testament and the New Testament.
Some denominations of Christianity don't believe in the Apocrypha.
Took 400 years to write it.
Hope this helps ;) ❤❤❤
Answer:
k Nishant
Step-by-step explanation:
The Old Testament is the original Hebrew Bible, the sacred scriptures of the Jewish faith, written at different times between about 1200 and 165 BC. This your answer
Let f (x) = |2). Write a function g whose graph is a vertical shrink by a factor of
followed by a translation 2 units up of the graph of f.
Answers
Answer:
This is poorly written, so i will answer it as it was:
"Let f (x) = |2). Write a function g(x) whose graph is a vertical shrink by a factor of A, followed by a translation 2 units up of the graph of f."
I don't really know what you do mean by I2), so i will answer it in a general way.
First, we do a vertical shrink of factor A.
A must be a number smaller than one and larger than zero., then if g(x) is a vertical shrink of factor A of the graph of f(x), we have that:
g(x) = A*f(x)
As 0 < A < 1
We will have that the graph of g(x) is a vertical compression of the graph of f(x)
Now we do a vertical shift of 2 units up.
A general vertical shift of N units up is written as:
g(x) = f(x) + N
Where N is a positive number.
So in our case, we have:
g(x) = A*f(x) + 2.
Where you will need to replace the values of A and f(x) depending on what the actual question says,
Ten years ago. Phukan is 18 years younger than Namwan.Currently, the sum of their ages is 100 years. Find their current ages.
WRITE AS AN EQUATION
Answers
Step-by-step explanation:
phukan = x
Nanwan = y
let this be a simultaneous equation.
x - y = 18.... equation i
x + y = 100.... equation ii
subtract equation i from equation ii
= 2y = 118
y = 59
substitute y = 59 in equation ii to get x
x + 59 = 100
x = 100- 59
x = 41
Nanwan = 59, Phukan = 41
Answer:
Nawman = 59 years
Phukan = 41 years
Step-by-step explanation:
P = N - 18
P + N = 100
(N - 18) + N = 100
2N = 100 + 18
2N = 118
N = 118 : 2
N = 59 years
P = (59 - 18) years
P = 41 years
Bill spent $42 on fruit at the grocery store. He spent a total of $60 at the store. What percentage of the total did he
spend on fruit?
Answers
Answer:
70%
Step-by-step explanation:
To find the total percentage of his $60 dollars that he spent on fruit, we simply take the amount of money spent on fruit divided by the total spent.
% spent on fruit = 42 / 60
% spent on fruit = 0.7
% spent on fruit = 70 %
Cheers.
Answer:
70%
Step-by-step explanation:
so he spent 42/60
lets simplify by dividing on both sides by 2
21/30
then divide by 3
7/10
which is also 70/100
so 70%
yaaaaayyyy we r done!!!!!!!!!
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
ANSWER ASAP THANK youuu
Answers
Answer:
A
Step-by-step explanation:
● -7x > 21
Divide both sides by 7
● -7x/7 > 21/7
● -x > 3
Multiply both sides by -1 and switch the sign since you have multiplied by a negative number.
● x < -3
The representation is A since -3 is represented by an empty dot ○ wich means it's out the solutions
The solution to the given inequality -7x/7 > 21/7 is x < -3 which is the correct answer that would be option (A).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality is given in the question
⇒ -7x > 21
Divide both sides by 7 both sides of the above inequality
⇒ -7x/7 > 21/7
⇒ -x > 3
Multiply both sides by -1 and because we multiplied by a negative quantity, flip the sign.
⇒ x < -3
The representation is A because -3 is represented by an empty dot which shows the solution of the graph.
The required graph has been attached which represents the solution to the given inequality -7x/7 > 21/7 is x < -3
Hence, the correct answer would be an option (A).
Learn more about the inequalities here:
brainly.com/question/20383699
#SPJ2
help me with this problem im slow
Answers
Answer:
Option D
Step-by-step explanation:
Option D's equation is in slope-intercept form. Slope-intercept form equations are used for linear functions.
Nonlinear functions would have an exponent (that is higher than 1), 'x' as an denominator in a function, or a square/cube root symbol in it's equation.
Option D should be the correct answer.
Hope this helps.
plz help me f(x) = 2x – 2 , find f(– 1)
Answers
Answer:
-4
Step-by-step explanation:
f(-1) = 2(-1) - 2 = -4
please helppp ill give brainliest the question is attached below
Answers
Answer: It is false, the diameter is not 16 m.
Step-by-step explanation:
P 4m are 8 m are 32 m away. The diameter= 32 m.
(I hope its rights!!!)
5x -2 ( 2x-2)= 2(3x-1)+7/2
Answers
Answer:
x = 1/2 or 0.5
Step-by-step explanation:
5x - 2(2x-2) = 2(3x - 1) + 7/2
= 5x - 4x + 4 = 6x - 2 + 7/2
= 5x + 4 = 10x - 2 + 7/2
= 5x + 6 = 10x + 7/2
= 5x + 2.5 = 10x
= 2.5 = 5x
Thus, x = 1/2 or 0.5
Hope this helps!
the circumference of a circle is 20 pi. what is the radius of this circle?
Answers
Work Shown:
C = circumference = 20pi
d = diameter
C = pi*d
pi*d = 20pi
d = 20 after dividing both sides by pi
The radius is half the diameter, so r = d/2 = 20/2 = 10.
As an alternative, you can use the formula C = 2*pi*r
Using the circumference of the circle formula to solve the problem. Then the radius of the circle is 10 units.
What is a circle?It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Given
The circumference of a circle is 20π.
We know that the circumference of the circle is given by
[tex]\rm Circumference\ of\ the\ circle = 2\pi r[/tex]
Where r is the radius of the circle.
Then the radius of the circle will be
[tex]\begin{aligned} 20 \pi &= 2 * \pi * r \\r &= 10\end{aligned}[/tex]
Thus, the radius of the circle is 10 units.
More about the circle link is given below.
https://brainly.com/question/11833983
Mele earned scores of 75, 70, 92,95, and 97 points (a
total of 429 points) on the first 5 tests in Economics II
Solving which of the following equations for s gives
the score he needs to earn on the 6th test to average
exactly 85 points for all 6 tests?
+5=85
F. 429
G. 429
H. + 429
+5 = 85
= 85
J. S+429
= 85
6
K. S+ 429
85
100
Answers
Answer:
The equation for S which gives the score he needs to earn on the 6th test to average exactly 85 points for all 6 tests is;
S + 429 = 85 × 6
Step-by-step explanation:
The parameters given are;
The scores earned by Mele on the first five test in Economics II are;
75, 70, 92, 95, and 97 points
The total test points = 429 points
Therefore, the score, S, Mele needs to earn on the 6th test for him to get an average of exactly 85 points for the 6 tests is found as follows;
From the definition of average, μ = (Sum of data values)/(Number of data)
Sum of data values = S + 429
The number of data = 5 test + 6th test = 6
μ = 85 = (S + 429)/6
Therefore;
S + 429 = 85 × 6
Therefore, the equation for S which gives the score he needs to earn on the 6th test to average exactly 85 points for all 6 tests is S + 429 = 85 × 6.
Find the GFC of 20 and 16
Answers
solve equation show all steps what is 2x-3x+5=18
Answers
Answer:
x = -13
Step-by-step explanation:
2x-3x+5=18
Combine like terms
-x +5 = 18
Subtract 5 from each side
-x +5-5 = 18-5
-x = 13
Multiply each side by -1
x = -13
Answer:
[tex]\huge \boxed{{x=-13}}[/tex]
Step-by-step explanation:
[tex]2x-3x+5=18[/tex]
[tex]\sf Combine \ like \ terms.[/tex]
[tex]-1x+5=18[/tex]
[tex]\sf Subtract \ 5 \ from \ both \ sides.[/tex]
[tex]-1x+5-5=18-5[/tex]
[tex]-1x=13[/tex]
[tex]\sf Multiply \ both \ sides \ by \ -1.[/tex]
[tex]-1x \times (-1)=13 \times (-1)[/tex]
[tex]x=-13[/tex]
Part of the population of 6,250 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 6 of them are infected. How many elk are likely to be infected? Based on the sample, there will likely be infected elk in the wildlife preserve.
Answers
====================================================
Explanation:
6 in the sample of 50 are infected, so 6/50 = 12/100 = 12% are infected in the sample. We expect this percentage to carry over to the entire population assuming we picked a representative random sample that isn't biased.
12% of 6250 = 0.12*650 = 750 is the expected number of infected individuals in the population.
----------
Here's an alternative way you can solve through a proportion
(number infected)/(total) = (number infected)/(total)
6/50 = x/6250
6*6250 = 50x ... cross multiply
37500 = 50x
50x = 37500
x = 37500/50 ... divide both sides by 50
x = 750
in 2003 the toyota camry was the top selling passenger vehicle in the united states followed by the honda accord there was 35,000 fewer honda accords than toyota camrys sold in the us in 2003 total sales for the two models together equaled 833,000 that year how many of
Answers
Answer:
the amount of camry sold in 2003 = 434000
Step-by-step explanation:
let the number of camry sold be X
then the number of honda accord will be x - 35000
the total will be:
x + x-35000 = 833000
2x = 868000
x = 434000
The amount of Camry sold in 2003 is 434000
How to find the amount of Camry sold in 2003?Let the number of Camry sold be X
Then the number of honda accord will be x - 35000
The total will be:
x + x-35000 = 833000
2x = 868000
x = 434000
Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
Learn more about Problem-solving here: brainly.com/question/23945932
#SPJ2
Jolene bought 3 plants at a greenhouse. Each plant cost $2.50. To calculate the total cost of the plants, Jolene added (3(2)) + (3(0.50)). What property of multiplication did she use?*
A.Distributive Property
B.Associative Property
C.Commutative Property
D.Identity Property
Answers
Answer:
The answer is A.Distributive PropertyStep-by-step explanation:
Distributive property of multiplication has to do with the multiplication of numbers by the sum of that number
say in our given example $2.05.
When we decide to multiply 3 property with $2 and $0.5 which when added together will still give $2.05, we are using distributive property of multiplication.
Hence according to distributive property 3*$2.05 is the same as
3*$2 + 3*$0.5
Represent 1/3 and 5/2 on the same number line. Please Draw it
Answers
Answer:
[tex]\Huge{\fbox{\red{Attachment}}}[/tex]
#Be Brainly
Can someone please help me
Answers
Answer:
a = 84°
Step-by-step explanation:
∠ QPR and ∠ TPR are adjacent and supplementary, thus
∠TPR = 180° - 123° = 57°
Given there are parallel lines , then
∠ PTR = 27° ( alternate angle )
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ TRS is an external angle , thus
∠ TRS = a = 57° + 27° = 84°
Answer:
84 degrees.
Step-by-step explanation:
m < R + m < T = 123 (External angle of a triangle theorem)
m < T = 27 degrees (alternate angle to 27 degrees).
So m < R = 123 - 27 = 96 degrees.
Finally m < a = 180 - 96 = 84 degrees ( as it is adjacent to < R)
NEED IN NEXT HOUR solve the following equation: 20= 4t -5t^2
Answers
Answer:
2/5 ±i4/5sqrt(6)= t
Step-by-step explanation:
20= 4t -5t^2
Rewriting
20 = -5t^2 +4t
Divide by -5
20 = -5t^2 +4t
20/-5 = -5/-5t^2 +4/-5t
-4 = t^2 -4/5 t
Complete the square
Take the coefficient of t
-4/5
Divide by 2
-4/10 = -2/5
Square it
(-2/5)^2 = 4/25
Add to each side
-4 +4/25 = t^2 -4/5 t + 4/25
-100/25+4/25 = ( t-2/5)^2
-96/25 = ( t-2/5)^2
Take the square root of each side
sqrt(-96/25) = sqrt(( t-2/5)^2)
±isqrt(96/25)=( t-2/5)
±i4/5sqrt(6)=( t-2/5)
Add 2/5 to each side
2/5 ±i4/5sqrt(6)= t
Simplify 6 to the second power
Answers
Answer:
36Step-by-step explanation:
[tex]6^2 =6\times 6\\\\= 36[/tex]
For the mathematics projects, a teacher divides 27 students into 2 groups. One group has more students than twice the number of students in the other group by 3. Find the number of students in both groups.
Write as a equation.
Answers
Answer:
8, 19
Step-by-step explanation:
let group 1 have x students and group 2 have y students
x + y = 27
but group 2 has 2x + 3 students
the sum of students from both groups is 27
x + 2x + 3 = 27
3x + 3 = 27
3x = 24
x = 8
y = 2x + 3
y = 19
