For two complementary angles find x. The first angle is 4x+9. The second angle is 2x+27
Answers
Gud luck
Answer:
x = 9
Step-by-step explanation:
When sum of two angles is 90, then they are known as complementary angles.
4x + 9 + 2x + 27 = 90
4x + 2x + 9 + 27 = 90
Combine like terms
6x + 36 = 90
Subtract 36 from both sides
6x = 90 - 36
6x = 54
Divide both sides by 6
x = 54/6
x = 9
Related Questions
The function shown is a composition of the functions g(x) and h(x) .
f(x)=2x√+8−7
Which of the following shows a possible decomposition of the function f(x) ?
Answers
Find the nth term...-1,5,11,17
Answers
Answer:
23
Step-by-step explanation:
you just add 6 to every one
Given EH = 12 and EG = 20 , find FJ.
Answers
Answer:
10
Step-by-step explanation:
If you look at it 20 is from EG so if FJ is half of EG then FJ is half of 20
The Fun Committee is hosting the Annual City Festival. Jennifer is in charge of the committee and is planning a race to raise money for the Festival. The runners will earn money from donors for the number of miles they run. If the runners start at the park, run to City hall, and then run back to the park, how many total miles will each runner run? Show your work and leave your answer in simplest radical form if necessary.
Answers
Answer: [tex]6\sqrt{5}[/tex] miles
This is the same as writing 6*sqrt(5) miles
==========================================================
Work Shown:
P = park
C = city hall
Point P is at the location (10,11)
Point C is at the location (7,5)
Apply the distance formula to find the length of segment PC
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(10-7)^2 + (11-5)^2}\\\\d = \sqrt{(3)^2 + (6)^2}\\\\d = \sqrt{9 + 36}\\\\d = \sqrt{45}\\\\d = \sqrt{9*5}\\\\d = \sqrt{9}*\sqrt{5}\\\\d = 3\sqrt{5}\\\\d \approx 6.7082039\\\\[/tex]
The exact distance between the park (P) and city hall (C) is [tex]3\sqrt{5}[/tex] miles.
This doubles to [tex]2*3\sqrt{5} = 6\sqrt{5}[/tex] miles because the runners go from P to C, then back to P again. In other words, they run along segment PC twice. This is assuming there is a straight line road connecting the two locations.
Extra info:
[tex]6\sqrt{5} \approx 13.41641[/tex] so the runner travels a total distance of roughly 13.4 miles.
Distribute an amount of Rs. 200 between Raheem and Usman such that Raheem
gets RS 50 more than twice as much as Usman gets .
Answers
Answer:
50 and 150
Step-by-step explanation:
Raheem- (2x+50)
Usman- x
(2x+50)+x=200
3x+50=200
3x=150
x=50
plug in the numbers
Which statements are true about the result of simplifying this polynomial?
+ (8 + 9t) – (t2 + 4)(+2 – 3t)
The simplified expression has four terms.
The simplified expression is a polynomial.
The simplified expression has a constant term.
The simplified expression is cubic.
a
The simplified expression is a trinomial.
Answers
Answer:
The simplified expression has four terms.
The simplified expression has a constant term.
The simplified expression is cubic.
The simplified expression is a trinomial.
The statements that are true about the result of simplifying this polynomial are:
b. The simplified expression is a polynomial.
c. The simplified expression has a constant term.
What are polynomials?Sums of terms of the form k x xⁿ, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. A description of polynomials.
All other options are false. As it is not cubic because it is degree 4, and it does not have four terms as it has five terms. And it is not trinomial as it has five terms, not three.
The full solution is;
t³(8 + 9t) - (t² + 4)(2 - 3t)
8t³ + 9t⁴ - (2t² - 3t³ + 8 - 12t)
8t³ + 9t⁴ - 2t² + 3t³ - 8 + 12t
9t⁴ + 11t³ - 2t² + 12t - 8
Therefore, the correct options are a, and b.
To learn more about polynomials, refer to the below link:
https://brainly.com/question/18077355
#SPJ5
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid ₹27 for a book kept for seven days, while Susy paid ₹21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.
Answers
Answer:
Ji Gud afternoon.
I'm fine
what about you madam.
Hope u r fine and stay safe and healthy
solve: 3( − 3) − 5 >− 3 − 6
(show your work)
Answers
x>3 is the answer
Step-by-step explanation:
[tex]3( x− 3) − 5x >− 3x − 6 \\ 3x - 9 - 5x > - 3x - 6 \\ 3x - 9 - 5x + 5x > - 3x - 6 + 5x \\ 3x - 9 > 2x - 6 \\ 3x - 9 - 2x > 2x - 6 - 2x \\ x - 9 > - 6 \\ x - 9 + 9> - 6 + 9 \\ x > 3[/tex]
Sabe-se que EF = xcm , GH = (x + 6) cm , RS = 16 cm e NP = 28 cm . Sabendo que EF ,GH , RS ,e NP São, nessa ordem, segmentos proporcionais, determine o valor de x .
Answers
Answer:
The value of x is 8 .
Step-by-step explanation:
It is known that EF = x cm , GH = (x + 6) cm , RS = 16 cm and NP = 28 cm . Knowing that EF ,GH , RS , and NP are, in that order, proportional segments, determine the value of x .
As EF, GH, RS and NP are in proportion
So,
EF : GH = RS : NP
[tex]\frac{x}{x+6}=\frac{16}{28}\\\\7 x = 4 (x + 6)\\\\7 x = 4 x + 24 \\\\3 x = 24 \\\\x = 8[/tex]
What is the capacity of a rectangular tank calculated to the nearest litre? Length: 85cm Width: 65cm Height: 30cm
Answers
Answer:
Capacity of the rectangular tank in litres is 165.75l
Step-by-step explanation:
Volume of the tank
[tex] = lbh[/tex]
[tex] = 85 \times 65 \times 30[/tex]
[tex] = 165750 {cm}^{3} [/tex]
Capacity of the tank
[tex] = 165750ml[/tex]
[tex] = 165.75l[/tex]
Dr. Comeaux decides to conduct a survey of her class to determine whether the number of breaks is sufficient for a three-hour class period. She assigns each of her 40 students a number and arbitrarily selects 20 using a computer program. Using the language of research methodology, Dr. Comeaux's sample is both a representative and a(n) _____ sample.
Answers
Answer:
Random and Representative.
Step-by-step explanation:
According to the Question,
Given That, Dr. Comeaux decides to conduct a survey of her class to determine whether the number of breaks is sufficient for a three-hour class period. She assigns each of her 40 students a number and arbitrarily selects 20 using a computer program. Using the language of research methodology, Dr. Comeaux's sample is both a Representative and Random sample.2(2x+1)-9.2x+4=0
[tex] 2^2x + 1 - 9.2 ^x + 4 = 0 [/tex]
Answers
[tex]\displaystyle\2^{2x+1}-9\cdot 2^x+4=0 \quad ; \qquad \boxed{ 2^x=t \; ; \; 2^{2x}=t^2} \\\\2t^2-9t+4=0 \\\\D=81-32 =49 \\\\ t_1=\frac{9+7}{4} =4 \\\\ t_2=\frac{9-7}{4} =\frac{1}{2} \\\\1) \ 2^x=4 \Longrightarrow x_1=2 \qquad 2) \ 2^x=2^{-1}\Longrightarrow x_2=-1 \\\\Answer: \boxed{x_1=2 \quad ; \quad x_2=-1}[/tex]
[tex]factories : - \\ \\ p {}^{2} + 8p - 84[/tex]
Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (p - 6)(p + 14) }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {p}^{2} + 8p - 84[/tex]
[tex] = {p}^{2} + 14p - 6p - 84[/tex]
Taking [tex]p[/tex] as common from first two terms and [tex]6[/tex] from last two terms, we have
[tex] = p(p + 14) - 6(p + 14)[/tex]
Taking the factor [tex](p+14)[/tex] as common,
[tex] = (p - 6)(p + 14)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]
Find the measure of the missing angle using the triangle angle sum theorem
Answers
Answer:
m∠60
Step-by-step explanation:
30 + 90 = 120
180-120=60
Answer:
x = 60°
Step-by-step explanation:
A triangle is equal to 180°
Make an equation and solve:
30° + 90° + x = 180°
120° + x = 180°
x = 180° - 120°
x = 60°
The rocket that carried the Curiosity Rover to Mars traveled at a speed of 21,000 miles per hour. What is this speed to the nearest mile per second?
6 miles per second
350 miles per second
1,260,000 miles per second
75,600,000 miles per second
Answers
Answer:
6 mps to the nearest mps.
Step-by-step explanation
The rocket that carried the Curiosity Rover to Mars traveled at a speed of 21,000 miles per hour. What is this speed to the nearest mile per second?
1 hr = 3600 sec
Since an hour is 3600 seconds (i.e., 60 x 60), you simply need to divide that number by 3600
→ 21000 mph = 21000 ÷ 3600 mps = 5 5/6 mps →
ANSWER : 6 mps to the nearest mps.
Answer:
Believe the other person
Step-by-step explanation:
I got a 100%, and also got this question.
Jul 02, 10:37:22 AM
Drag the numbers below to put them in order from least to greatest:
9.58 9.558 9.62 9.7 9.691 9.592
Answers
Answer: 9.558, 9.58, 9.592, 9.62, 9.691, 9.7
Step-by-step explanation:
Answer:
9.7 9.58 9.62 9.558 9.592 9.691
LAST QUESTION SOMEONE HELP PLEASE QUICK
Answers
Answer:
27%
Step-by-step explanation:
Answer:
p(j)=27% is correct answer
Describe fully the single transformation that maps a onto shape b
Answers
Answer:
Reflected over y-axis
a solid cylinder has radius x cm and height (7x÷2) cm .the surface area of a sphere with radius R cm is equal yo the total surface area of the cylinder . find an expression for R in terms of x
Answers
Answer:
[tex]R=(\sqrt{11} )\frac{x}{2}[/tex]
Step-by-step explanation:
The expression for the radius of the sphere will be R = (3/2)x.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that a solid cylinder has a radius x cm and height (7x÷2) cm .the surface area of a sphere with a radius R cm is equal to the total surface area of the cylinder.
The expression will be solved as:-
SA ( sphere) = 4πR²
SA (cyl) = 2πr² + 2πrl
SA (cyl) = 2πx² + 2πx ( 7x / 2)
SA (cyl) = 2πx² + 7πx²
SA ( sphere) = SA (cyl)
4πR² = 2πx² + 7πx²
R² = 9πx² / 4π
R = √(9x²/4)
R = ( 3 / 2 )x
Therefore, the expression for the radius of the sphere will be R = (3/2)x.
To know more about an expression follow
https://brainly.com/question/17648646
#SPJ5
Rewrite the expression as a simplified expression containing one term.
Answers
Answer:
-(cos α)/(sin α)
= -cot α
Step-by-step explanation:
use trigonometric identities
Find the product of the Mixed numbers.
2 2/3 x 1 1/2
what statemets are correct? Check all that apply.
1. write the mixed numbers as improper fractions
2. multiply the numerators to get 24.
3. multiply the denominators to get 6.
4. write the improper fractions as a mixed number
5. The product is 4.
6. The product is 2 2/5
Answers
Answer:
1., 2., 3., 5.
Step-by-step explanation:
2 2/3 x 1 1/2 =
= (2 * 3 + 2)/3 * (1 * 2 + 1)/2
= 8/3 * 3/2
= 24/6
= 4
Answer:
Write the mixed numbers as improper fractions.
Multiply the numerators to get 24.
Multiply the denominators to get 6.
Write the improper fraction as a mixed number.
The product is 4.
Step-by-step explanation:
the other person is wrong
I purposely got this question wrong so I can see the right answers
these are the correct answers
(edge)
What is the point-slope equation of a line with slope -3 that contains the point
(-8,-4)?
O A. y+ 4 = -3(x+8)
B. y+ 4 = -3(x-8)
C. y-4 = -3(x-8)
O D. y- 4 = -3(x+ 8)
Answers
Answer:
y + 4 = -3(x + 8)
Step-by-step explanation:
y + 4 = -3(x + 8)
Please help me I keep on getting the third box wrong
Answers
Answer:
[tex](2 {a}^{2} + 1)(1 {a}^{2} + 9)[/tex]
Step-by-step explanation:
[tex]2 {a}^{4} + 19 {a}^{2} + 9 \\ 2 {a}^{4} + {a}^{2} + 18{a}^{2} + 9 \\ {a}^{2} (2 {a}^{2} + 1) + 9(2 {a}^{2} + 1) \\ (2 {a}^{2} + 1)( {a}^{2} + 9) \\ [/tex]
The following table shows a direct variation.
3 y
15 5
18 6
27 9
Answers
Answer:
Yes, it shows direct variation
Step-by-step explanation:
Given
The above table
Required
Is it a direct variation?
The constant of variation (k) is:
[tex]k = y/x[/tex]
For each pair x and y, we have:
[tex]k = 5/15 = 1/3[/tex]
[tex]k = 6/18 = 1/3[/tex]
[tex]k =9/27 = 1/3[/tex]
Since the calculate constant have the same value for all pair or x and y, then the table shows direct variation
Answer:1
Step-by-step explanation:3/3=1
Simplify this expression:
-(x+2)+4
i have no idea im not good with math ;(
Answers
ANSWER :
- ( x+ 2 ) + 4
-x - 2 + 4
-x + 2
Answer:
−x+2
Step-by-step explanation:
-(x+2)+4 Distribute the negative sign (-) outside of the parenthesis with x and 2 and that will turn into -x-2+4.
Add -2 and 4 and that will turn into -x+2.
Help and explain ( solve using the substitution method )
Answers
Answer:
you are posting unvisibile photo pls fix it
Step-by-step explanation:
PLEASE HURRY Aline has a slope of -1/2 and a y-intercept of -2. What is the x-intercept of the line?
Answers
Answer:
x- intercept = - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{2}[/tex] and c = - 2 , then
y = - [tex]\frac{1}{2}[/tex] x - 2 ← equation of line
To find the x- intercept let y = 0
0 = - [tex]\frac{1}{2}[/tex] x - 2 ( add 2 to both sides )
2 = - [tex]\frac{1}{2}[/tex] x ( multiply both sides by - 2 to clear the fraction )
- 4 = x
The x- intercept is - 4
Find the Average Number of Fruits eaten By Tony on a week:
Days of the week | Number of fruits
________________________________________
Sunday | 60
Monday | 40
Tuesday | 20
Wednesday | 40
Thursday | 80
Friday | 30
Saturday | 20
Answers
Answer:
41.43 fruits
Step-by-step explanation:
Average number of fruits= sum of fruits for each dat ÷ total number of fruits
[tex] \frac{60 + 40 + 20 + 40 + 80 + 30 + 20}{7} [/tex]
[tex] = \frac{290}{7} [/tex]
[tex] = 41.43 \: fruits[/tex]
Solve the inequality -10w _< 20
Answers
Step-by-step explanation:
-10w< 20w< 20/-10w< -2hope it helps
stay safe healthy and happy...Which is the graph of y = 3x + 1 - 2?
