Answer:
39 degrees
Step-by-step explanation:
Add: 39+54+48=141
180 (degrees of a straight angle) minus 141=39
39 degrees
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Answer:
71°
Step-by-step explanation:
31-3x+19x-5=90
16x=90-26
16x=64
x=4
m<R=19x-5 = 19(4)-5 = 76-5 = 71
Answer:

Step-by-step explanation:
To evaluate
, substitute
to
so we should have:

Evaluate the expression and finally, we have:

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brainly.com/question/27923727 - How to find inverse and value of function
<u>Given</u>:
The sides of the base of the triangle are 8, 15 and 17.
The height of the prism is 15 units.
We need to determine the volume of the right triangular prism.
<u>Area of the base of the triangle:</u>
The area of the base of the triangle can be determined using the Heron's formula.

Substituting a = 8, b = 15 and c = 17. Thus, we have;


Using Heron's formula, we have;





Thus, the area of the base of the right triangular prism is 36 square units.
<u>Volume of the right triangular prism:</u>
The volume of the right triangular prism can be determined using the formula,

where
is the area of the base of the prism and h is the height of the prism.
Substituting the values, we have;


Thus, the volume of the right triangular prism is 450 cubic units.
Answer:
slope = 
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 )
Given
2x - 3y = 12 ( subtract 2x from both sides )
- 3y = - 2x + 12 ( divide all terms by - 3 )
y =
x - 4 ← in slope- intercept form
with slope m = 