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3 years ago

7

Which expression is equivalent to 1/2x + 8

1 answer:

elena55 [62]3 years ago

5 0

Answer:

1/2( x+16)

Step-by-step explanation:

1/2x + 8

Factor out 1/2

1/2*x + 1/2 *16

1/2( x+16)

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9) If m/1 = 45° and 21 and 22 are complementary angles. Find m22.

Allisa [31]

❄ Hi there,

keeping in mind that the sum of complementary angles is 90°,

set up an equation, letting $\angle2$ be x –

$\triangleright \ \sf{\angle1+x=90}$ {and we know that $\boxed{\angle1=45}$ }

$\triangleright \ \sf{45+x=90}$

$\triangleright \ \sf{x=90-45}$

$\triangleright \ \sf{x=45}$

$\triangleright \ \sf{\angle2=45\textdegree}$

__________

Keeping in mind that a right angle is 90°,

set up an equation, letting $\angle1$ be x:

$\triangleright \ \sf{x+\angle2=90}$ {and we know that $\boxed{\angle2=63}$ }

$\triangleright \ \sf{x+63=90}$

$\triangleright \ \sf{x=27}$

$\triangleright \ \sf{\angle1=47\textdegree}$

❄

5 0

2 years ago

The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo

kompoz [17]

Answer:

$h = 12$

$x = 9$

$y= 16$

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

$A = \frac{1}{2} * 15 * 20$

$i.e\ height = 20$

$A = \frac{1}{2} * 300$

$A = 150$

Let the base of the triangle be 25.

So, the area is:

$A = \frac{1}{2} * 25 * h$

$i.e\ height = h$

$A = \frac{1}{2} * 25h$

Substitute $A = 150$

$\frac{1}{2}*25h = 150$

Solve for h

$h = \frac{150 *2}{25}$

$h = 6 *2$

$h = 12$

Considering the smallest triangle

$Hypotenuse = 15$

So:

$15^2 = h^2 + x^2$

$15^2 = 12^2 + x^2$

This gives:

$15^2 - 12^2 = x^2$

$81 = x^2$

Take square roots

$9 =x$

$x = 9$

Solving for y

$x + y = 25$

$y= 25 - x$

$y= 25 - 9$

$y= 16$

7 0

3 years ago

9(m-3)+3m=7m+43 help me please

nikdorinn [45]

Answer:

multiply 9 from m and -3

9m - 27 + 3m = 7m + 43

12m - 27 = 7m + 43

12m - 7m = 43+ 27

5m = 70 cut 70 by 5 in 14 times [ 14 x 5= 70 ]

m = 14 answer ❤️❤️ it is 100% correct now!

6 0

3 years ago

Read 2 more answers

If f(x) = 2x³ = x² + 3x + 10 and g(x) = x³ + 3x² + 2x + 4, determine when f(x) > g(x).

lesya [120]

Hope this helps, if not sorry.

6 0

3 years ago

Find the slope of the line graphed in the diagram and choose the correct answer from the choices below. The two intercepts are (

kolezko [41]

1.2 is the slope of the line graphed in the given diagram

<u>Step-by-step explanation:</u>

We can use the given points (0, 3) and (-2.5, 0) to solve.

Slope formula is given by

$\text { slope, } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Given two intercepts:

$\left(x_{1}, y_{1}\right)=(0,3) \text { and }\left(x_{2}, y_{2}\right)=(-2.5,0)$

By substituting these in the slope equation, we get

$\text { slope, } m=\frac{0-3}{-2.5-0}=\frac{-3}{-2.5}=\frac{3}{2.5}=1.2$

5 0

3 years ago