Answer:
36
Step-by-step explanation:
Using the angle addition postulate
angle 1+angle 2+angle 3=180
Angle 2 is 90 degrees,
Angle 1 is 2x degrees
Angle 3 is 3x degrees
Plug this into equation
Plug 18 into 2x
Answer:
Step-by-step explanation:
x = 8 ; y = 5/3
![\dfrac{1}{4}[x(2y+3z)] =\dfrac{1}{4}[8*(2*\dfrac{5}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*(\dfrac{10}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*\dfrac{15}{3})\\\\=\dfrac{1}{4}*8*5\\\\=2*5\\\\=10](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7D%5Bx%282y%2B3z%29%5D%20%3D%5Cdfrac%7B1%7D%7B4%7D%5B8%2A%282%2A%5Cdfrac%7B5%7D%7B3%7D%2B%5Cdfrac%7B5%7D%7B3%7D%29%5D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B4%7D%288%2A%28%5Cdfrac%7B10%7D%7B3%7D%2B%5Cdfrac%7B5%7D%7B3%7D%29%5D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B4%7D%288%2A%5Cdfrac%7B15%7D%7B3%7D%29%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B4%7D%2A8%2A5%5C%5C%5C%5C%3D2%2A5%5C%5C%5C%5C%3D10)
Answer:
Step-by-step explanation:
Exact Form:
17/6
Decimal Form:
2.83
Mixed Number Form:
2 5/6
<h3>
Answer: x < 1/2</h3>
This is the same as saying x < 0.5 since 1/2 = 0.5
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Work Shown:
2(1-x) > 2x
2*1 + 2*(-x) > 2x ..... distribute
2 - 2x > 2x
2 > 2x+2x .... adding 2x to both sides
2 > 4x
4x < 2 ..... flip both sides; flip the inequality sign
x < 2/4 ..... dividing both sides by 4; see note below
x < 1/2
Note: We do not flip the inequality sign here because we are dividing both sides by a positive value. The inequality sign would only flip if you divide both sides by a negative number.
False.
Right triangles do not have to be congruent.
:)
