9514 1404 393
Answer:
B. 39°, 106°, 43°
Step-by-step explanation:
The sum of angle measures in a triangle is 180°. Then the sum of angle expressions will be 180.
(3x +1) +(11x -4) +(5x -7) = 180
19x -10 = 180 . . . . . collect terms
19x = 190 . . . . . . . . add 10
x = 10 . . . . . . . . . . . divide by 19
__
Then the three angle measures are ...
- 3·10 +1 = 31
- 11·10 -4 = 106
- 5·10 -7 = 43
The appropriate choice is ...
B. 31°, 106°, 43°
Answer: 9.44 cm
Step-by-step explanation:
A = b × h
A = 4 × 2.36
A = 9.44 cm
To find the area of a parallelogram, the formula to use is A = b × h.
Answer:
x = 360
Step-by-step explanation:
Reorder the terms:
x = 72 + 0.8x
Solving
x = 72 + 0.8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.8x' to each side of the equation.
x + -0.8x = 72 + 0.8x + -0.8x
Combine like terms: x + -0.8x = 0.2x
0.2x = 72 + 0.8x + -0.8x
Combine like terms: 0.8x + -0.8x = 0.0
0.2x = 72 + 0.0
0.2x = 72
Divide each side by '0.2'.
x = 360
Simplifying
x = 360
Factor out the largest perfect square of 32.
( in this example we factored out 16 )
Rewrite
____
/16⋅2
as the product of two radicals.
The square root of 16 is 4.
Divide numerator and denominator by 4.
The length is 18 and it's width is 10 because 10+8=18 and 18•10=180
