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2 years ago

Write an equation for each description. solve for x

Mathematics

1 answer:

kipiarov [429]2 years ago

6 0

Answer:

x = 33

Step-by-step explanation:

Because of the little square we know the total angle is 90

24 + 2x = 90

-24

2x = 66

x = 33

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Angles U and V are supplementary angles. The ratio of their measures is 7:13 Find the measure of each angle

GREYUIT [131]

If $u$ and $v$ are <span>supplementary angles, then

$u+v=180^{\circ}~~~~~\mathbf{(i)}$

The ratio of $u$ and $v$ is $\dfrac{7}{13}:$ <span>

$\dfrac{u}{v}=\dfrac{7}{13}\\\\\\ u=\dfrac{7v}{13}~~~~\mathbf{(ii)}$

Substitute $\mathbf{(ii)}$ into $\mathbf{(i)}:$

$\dfrac{7v}{13}+v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+1 \right )\cdot v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+\dfrac{13}{13} \right )\cdot v=180^{\circ}\\\\\\ \dfrac{20}{13}\cdot v=180^{\circ}\\\\\\ v=180^{\circ}\cdot \dfrac{13}{20}\\\\\\ \boxed{\begin{array}{c} v=117^{\circ} \end{array}}$

From $\mathbf{(i)},$ we find the measure of $u:$

$u=180^{\circ}-v\\\\ u=180^{\circ}-117^{\circ}\\\\ \boxed{\begin{array}{c} u=63^{\circ} \end{array}}$

</span></span>

7 0

2 years ago

The superintendent of a school district wanted to predict the percentage of students passing a sixth-grade proficiency test. she

Orlov [11]

Answer:

B. H1= b1=0

Step-by-step explanation:

the alternative hypothesis is correct

7 0

2 years ago

F(x)= -3x^3-x^2+x-3 identify the end behavior of each polynomial function

sashaice [31]

end behavior is affect by the exponent and whether its negative or positive

y = y^3 starts negative from -∞ to 0 the from 0 to +∞ goes positive

since this equation is negative its switched

-∞ to 0 its positive x>0

0 to +∞ is negative x<0

3 0

2 years ago

Find the hcf by long division method 434 ,775

almond37 [142]

Answer:

775=434×1+341

Step-by-step explanation:

this is the answer

3 0

2 years ago

If h(x) = 3 + 2f(x) , where f(1) = 3 and f '(1) = 4, find h'(1).

Leviafan [203]

H'(x) = 2f'(x)

h'(1) = 2*f'(1) = 2*4
h'(1) = 8

3 0

2 years ago