Answers
Answer:
Step-by-step explanation:
given :
y = 120 degree
z = 57 degree
angle x = ?
first lets find angle c in triangle BDC
angle c + z = y (sum of two interior opposite angle is equal to the exterior angle formed)angle C + 57 = 120
angle C = 120 -57
angle C = 63 degree
Now lets find angle B in triangle BDC
angle B + angle C + z = 180 degree (sum of interior angles of a triangle)
angle B + 63 + 57 = 180
angle B + 120 = 180
angle B = 180 - 120
angle B = 60 degree
now for angle x
angle B + z = angle x (sum of two interior opposite angles is equal to the exterior angle formed)
60 + 57 = x
117 = x
Related Questions
What’s the answer to this helpppp pleaseee
Answers
Answer:
Y= -1x-1
Step-by-step explanation:
The slope is going down in a 1 to 1 ratio, so the slope is -1. The line crosses the x axis at -1, so the y intercept is -1
Factor this polynomial expression. 2X2 + 12x + 18
A. 2(x+3)(x+3)
B. 2(x - 3)(x-3)
c. 2(x+3)(x - 3)
D. (2x + 9)(x+2)
Answers
[tex]\longrightarrow{\green{A.\:2 \: ( x + 3)(x + 3) }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 {x}^{2} + 12x + 18[/tex]
Taking 2 as common factor, we have
[tex] = 2 \: ( {x}^{2} + 6x + 9) \\ = 2 \: ( {x}^{2} + 3x + 3x + 9)[/tex]
Next, we take [tex]x[/tex] as common from first two terms and 3 from last two terms,
[tex] = 2 \: [x(x + 3) + 3(x + 3)][/tex]
Taking the factor [tex](x+3)[/tex] as common,
[tex] = 2 \: ( x + 3)(x + 3)[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
Find the y-intercept of the line which passes through (-2,-2) and (2,-4). O A. (0, -3) O B. (-3,0) O C. (0, -6) O D. (-6,0) O E. (0,-5)
Answers
9514 1404 393
Answer:
A. (0, -3)
Step-by-step explanation:
Graphing the given points shows you the y-intercept is between them. The x-coordinate of the y-intercept is always 0, so the only viable answer choice is ...
(0, -3)
Let a = -4.82 and b = 4.35. All of the following statements are true except
The sum of a and b is negative.
The product of a and - b is positive.
The quotient of a and - b is the same as the quotient of - a and b.
The distance between a and b on the number line is 0.47 units.
Answers
Answer:
the sum of -4.82 and 4.35 = -0.47
so a is correct
the product of -4.82 and 4.35 = -20.967
so b is incorrect
the quotient of -4.82 and -4.35 is 1.10804597701
the quotient of 4.82 and 4.35 is 1.10804597701
so c is correct
if we subtract 4.35 from -4.82 we get -9.17
so d is incorrect
Hope This Helps!!!
Can some one help me out with this please?
Answers
Answer:
GOD BLESS YOU
Step-by-step explanation:
Derek can carry 65% of his weight in
his backpack while camping. If his
backpack weighs 88.4 pounds, how
much does Derek weigh?
Answers
Quadrilateral QRST is a parallelogram. Solve for x (3x+5) (9x-17)
Answers
Given:
Consider the below figure attached with this equation.
Quadrilateral QRST is a parallelogram.
To find:
The value of x.
Solution:
We know that the sum of two consecutive interior angles of a parallelogram is 180 degrees because they are supplementary angles.
In parallelogram QRST,
[tex]m\angle Q+m\angle T=180^\circ[/tex]
[tex](3x+5)^\circ+(9x-17)^\circ=180^\circ[/tex]
[tex](12x-12)^\circ=180^\circ[/tex]
On comparing both sides, we get
[tex]12x-12=180[/tex]
[tex]12x=180+12[/tex]
[tex]12x=192[/tex]
Divide both sides by 12.
[tex]x=\dfrac{192}{12}[/tex]
[tex]x=16[/tex]
Therefore, the value of x is 16.
Directions: Solve for X Round your answer to the nearest tenth. Make sure you calculator
is in degree model
12
Answers
Answer:
36.87
Step-by-step explanation:
Using tan inverse of 9 over 12
Answer:
x ≈ 36.9°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{12}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 36.9° ( to the nearest tenth )
A 23 foot ladder is leaning against a wall. The angle of elevation of the ladder with the ground is `58\ degrees.` How far away is the bottom of the ladder from the bottom of the wall? Round your answer to the nearest hundredth.
Answers
Answer: 12.19 ft
Step-by-step explanation:
Given
Length of ladder is [tex]23 ft[/tex]
Angle of elevation is [tex]58^{\circ}[/tex]
Suppose the bottom of the ladder is x ft away from the bottom of the wall
from the figure, we can write
[tex]\Rightarrow \cos 58^{\circ}=\dfrac{x}{23}\\\\\Rightarrow x=23\cos 58^{\circ}\\\Rightarrow x=12.19\ ft[/tex]
Thus, the distance is 12.19 ft
Un buzo profesional está explorando el fondo marino a 48 metros bajo el nivel del mar (−48 m). Al volver a la superficie del mar (0 m), debe hacer pausas de seguridad que evitan cambios bruscos de presión: debe subir nadando verticalmente 8 metros en un minuto, detenerse durante 5 minutos, luego volver a subir 8 metros en un minuto, y así hasta llegar a la superficie.
Answers
Respuesta:
31 minutos para llegar a la superficie del mar.
Explicación paso a paso:
Dado que :
Profundidad inicial = 48 m
8 metros = 1 minuto
Tiempo de parada por cada minuto de nado vertical = 5 minutos
Por lo tanto,
1 minuto = (48 - 8) = 40 metros
Tiempo de parada = 5 minutos
1 minuto = (40 - 8) = 32 metros
Tiempo de parada = 5 minutos
1 minuto = (32 - 8) = 24 m
Tiempo de parada = 5 minutos
1 minuto = (24 - 8) = 16 m
Tiempo de parada = 5 minutos
1 minuto = (16 - 8) = 8 m
Tiempo de parada = 5 minutos
1 minuto = 8 - 8 = 0 (superficie del mar)
(1 * 6) minuto + (5 * 5) minuto
6 + 25 = 31 minutos
31 minutos para llegar a la superficie.
A rectangle has length 127.3 cm and width 86.5 cm, both correct to 1 decimal place. Calculate the upperbound and the lowerbound for the perimeter of the rectangle. pls answer fast. i need all the workings.
Answers
Answer:
Correct to 1dp
127.3 cm = 127.0 cm
86.5 cm = 87.0 cm
Upper limits:
127.0 cm = 127.05 cm
87.0 cm = 87.05 cm
Lower Limits:
127.0 cm = 126.95 cm
87.0 cm = 86.95 cm
upper limit of perimeter of rectangle:
P = 2(l+w)
= 2(127.05 + 87.05)
= 2(214.1)
= 428.2 cm
lower limit of perimeter of rectangle:
P = 2(l+w)
= 2(126.95 + 86.95)
= 2(213.9)
= 427.8 cm
therefore;
[tex]427.8 cm \leqslant perimeter < 428.2cm[/tex]
The upperbound and the lowerbound for the perimeter of the rectangle are;
Upper bound perimeter = 428.2 cm
Lower bound perimeter = 427.8 cm
To get the upper bound and Lower limits for the length and width, we need to first approximate them to 1 decimal place to get;
Length; 127.3 cm ≈ 127 cm
Width; 86.5 cm ≈ 87 cm
Thus;
Upper limit of length = 127.05 cm
Lower limit of length = 126.95 cm
Upper limit of width = 87.05 cm
Lower limit of width = 86.95 cm
Formula for perimeter of rectangle is;
P = 2(length × width)
Thus;
Upper bound perimeter = 2(127.05 + 87.05)
Upper bound perimeter = 428.2 cm
Lower bound perimeter = 2(126.95 + 86.95)
Lower bound perimeter = 427.8 cm
Read more on perimeter of rectangle at; https://brainly.com/question/17297081
Which equation can be used to solve a - 5 = 30?A. a = 30 - 5 B. a = 30 + 5 C a = 30 + 5 = 5 D a = 30.5
Answers
Which equation can be used to solve a - 5 = 30
answer= a=30+5
HOPE THIS HELPS YOU......
tan150 cos135 cos100÷sin585 cos150 sin170
Answers
Answer:
-0.66
Step-by-step explanation:
use the calculator
Step-by-step
explanation:use the calculator
Which are correct representations of the inequality 6x2 3 + 4(2x – 1)? Select three options.
12 2x
6x > 3 + 8x - 4
O
-1.5
-1
-0.5
0
0.5
1
1.5
-1.5
-0.5
0
0.5
1.5
-1.5
-1
-0.5
0
0.5
1
1.5
Answers
The proper way to express the above inequality is 6x4(2x-1) is x2.
What is inequality?A mathematical statement that has two mathematical expressions on each side of the inequality sign is called an inequality. The indicators for inequality are,, >, or.
6x4(2x-1) is the given inequality.
So, 6x≥8x-4
6x off of both sides gives us
6x-6x≥8x-4-6x
0≥8x-6x-4
0≥2x-4
4 added on both sides give us
0+4≥2x-4+4
4≥2x
By dividing both sides by half, we obtain
(1/2)×4≥(1/2)×2x
2≥x
x≤2
Therefore, x≤2 is the correct representation.
Learn more about inequality here:
brainly.com/question/19498063
#SPJ7
I need help with this quickly, I only have a couple hours left before homework is gone.
last day of school is tomorrow....
please answer quickly..
Answers
It only has one x intercept
Step-by-step explanation: when you graph it there is only one point where the line meets the x intercept
b^2 - 4ac is the formula
(-4)^2 - 4(1)(4)
Gets 16 - 16
Equals 0
So there is one x intercept.
Note:
If the number you get is less than 0 it’s no real roots
If equals to 0 it has one real root
If more than 0, than 2 real roots
What is the x-intercept of the function graphed below?
Answers
Answer:
It should be A.
Step-by-step explanation:
Can somebody answer this for me I don’t get it and please explain it please, Thank you
Answers
Answer:
120 minutes
Step-by-step explanation:
1/4=0.25
96x 0.25= 24
96+24=120 minutes
Hi there!
»»————- ★ ————-««
I believe your answer is:
Two Hours
»»————- ★ ————-««
Here’s why:
Jordan is staying the duration of the movie and the previews. The previews are (1/4) the time of the movie, which is 96 minutes.⸻⸻⸻⸻
[tex]96*\frac{1}{4}= 24[/tex]
⸻⸻⸻⸻
The previews should be 24 minutes.
⸻⸻⸻⸻
[tex]24 + 96 = 120[/tex]
⸻⸻⸻⸻
Jordan should stay for 120 minutes, or two hours.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
If 5400=54(100x+54), then x=?
Answers
Answer:
x=23/50
Step-by-step explanation:
Answer:
0.46
Step-by-step explanation:
Divide 5400 by 54 to get rid of it from the right side.
You will get 100=100x+54
Then subtract 54 from 100.
46=100x
Lastly, divide your number by 100 to get x.
is the ordered pair a solution of the equation?
y= 3x + 4; (4, 16)
Answers
Answer: Yes.
Step-by-step explanation: Plug in your values. Does y=16 when x=4? 16 = 3(4) +4, which equals 16, so yes.
The slope of the line passing through the points (6, -1) and (7, -2) is
-3
-1
1
Answers
Answer:
-1
Step-by-step explanation:
when inputting our values into the formula for slope, we get (-2 - -1)/(7 - 6). Subtracting gives us -1/1 and our final answer is -1.
p.s tysm
Patrick wants to buy a new computer. He already has $275 saved and plans to save $125
each month. The price of the computer is currently $1,850, but Patrick expects the price
to drop by $100 each month. Patrick wants to determine the number of months he will
need to save.
.
If x represents the number of months, then write an equation to represent A, the total
amount Patrick saves.
If x represents the number of months, then write an equation to represent C, the cost of
the computer.
.
Use your equations from part “a” and part “b” to determine how many months he will
need to save before he can buy the computer. Show your work or explain how you got
your answer
Answers
Answer:
The answer is below
Step-by-step explanation:
The equation for a linear function is given as:
y = mx + b
where m is the slope of the function (that is the rate of change), b is the initial value of y when x is 0.
a) Since A represent the total amount saved and x represents the number of months. The relationship between A and x is given by:
A = -100x + 1850
The price reduces by $100 each month, while the initial price is currently $1,850.
B) Since C represent the cost of computer and x represents the number of months. The relationship between C and x is given by:
C = 125x + 275
The price increases by $125 each month, while the initial price is currently $275.
C) To determine the amount time needed before he can buy the computer, we use:
A = C
-100x + 1850 = 125x + 275
125x + 100x = 1850 - 275
225x = 1575
x = 7
Therefore it would take 7 months before he can buy a computer
Question and choices are in the photo please explain the answer
Answers
Answer:
B.) 33°
Step-by-step explanation:
The size of x in degrees is 33°.
If you bisect P from center O, you can create a right triangle and use the triangle sum rule to find ½ the measure of x°.
URGENT HELP NEEDED!!!!!
Find the simple interest earned at the end of 1 year. Show your calculations as best as possible (1 mark) correct answer (1mark) P = $1800 R = 5% T = 1 year
What is the total amount earned at the end of 3 years? P = $2600 R = 12% T = 3 years
1 point
$936
$3 536
$93 600
Both A and B
What principal would give an interest of $36 in 3 years at 3% p.a.? Show your calculations as best as possible (1 mark) correct answer (1mark)
In how many years will $600 double itself at 10% simple interest?
1 point
8 years and 4 months
8 years and 1/3
100 Months
All of the above
Both A and B
In what time will $400 amount to $512 if the simple interest is the calculated at 14% p.a.? Write your answer
Imagine you have a friend who doesn't quite understand what investing money into a bank means. Think of a financial situation and use the following words and numbers to help teach them. (principal $1200, interest earned, interest rate 4%, total amount, term, per anum). This is worth 8 marks.
Answers
Answer:
k
Step-by-step explanation:
Epd445 was allegedly caught texting 57 minors but 21 of them turned out to be of age. What is the total amount of minors he was allegedly caught texting with?
Answers
Answer:
He was caught texting 36 minors.
Answer:
Step-by-step explanation:
Sam built a ramp to a loading dock. The ramp has a vertical support 2 m from the base of the loading dock and 3m from the base of the ramp. If the vertical support is 1.2 m in height, what is the height of the loading dock?
Answers
Answer:
tan angle = x/5.
Step-by-step explanation:
If I understand your description,
tan angle at bottom of ramp = 1.2/3.
Then tan angle = x/5.
Check my thinking.
38. In a right triangle, if one acute angle has measure 8x + 5 and the other
has measure 4x + 9, find the larger of these two angles.
55.67
62.4
57.92
64.61
None of the above
Answers
We know that : The Sum of the angles in a triangle should be equal to 180°
Given : The Triangle is a Right angled Triangle
It means : One of the Angle in the triangle is 90°
It means : The sum of the other two angles should be equal to 90°
Given : One acute angle is 8x + 5 and the other one is 4x + 9
⇒ 8x + 5 + 4x + 9 = 90°
⇒ 12x + 14 = 90°
⇒ 12x = 76°
⇒ x = 6.333°
The larger angle among the acute angles is 8x + 5
⇒ 8(6.333) + 5
⇒ 50.67 + 5
⇒ 55.67
[tex]\huge\bold{Given :}[/tex]
Angle 1 = ( 8x + 5 ) ...(i)
Angle 2 = ( 4x + 9 ) ...(ii)
Angle 3 = 90° ( ∵ it is a right-angled triangle )
[tex]\huge\bold{To\:find :}[/tex]
The value of the larger angle of the two acute angles.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]{\boxed{\mathcal{\red{ A. \:55.67° .\:}}}}[/tex]. ✅
[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°
➪ 8x + 5 + 4x + 9 + 90° = 180°
➪ 12x + 104° = 180°
➪ 12x = 180° - 104°
➪ 12x = 76°
➪ x = [tex] \frac{76° }{12} [/tex]
➪ x = 6.333°
The value of x is 6.333°.
Now,
Substituting the value of x in eq. (i) & (ii), we have
Angle 1 = 8x + 5
= 8 x 6.333 + 5
= 50.666 + 5
= 55.67°
Angle 2 = 4x + 9
= 4 x 6.333 + 9
= 25.332 + 9
= 34.332°
Clearly, angle 1 is greater than angle 2.
Therefore, the value of the larger angle of the two acute angles is 55.67°.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
express . 05 as a proper fraction in its lowest terms
Answers
hola regalo puntos corona para el que conteste primero
Answers
nooooooooooooooooooooooooo
Welp… Umh okay :D
It needed more characters…
how does the graph of g(x)=3(2)^x -5 compare to the graph of g(x)=2^x
Answers
Answer:
Step-by-step explanation:
The graph of g(x)=3(2)^x -5 is vertically stretched as compared with that of h(x) = 2^x. Also, the graph of g(x)=3(2)^x -5 has been translated downward by 5 units.
To obtain the graph of g(x)=3(2)^x -5, we start by graphing g(x)= 2^x, whose y-intercept is (0, 1). We then stretch this new graph vertically by a factor of 3; the y-intercept becomes (0, 3). Finally, we translate the entire new graph downward 5 units.
315,728 rouned to the nearest ten thousand
Answers
Answer:
320,000 is the answer
Step-by-step explanation:
have a good day!!
