Answer:
<h2>x = 19</h2>
Step-by-step explanation:
There are the vertical angles. The vertical angles are congruent. Therefore we have the equation:
<em>add 8 to both sides</em>
<em>subtract 6x from both sides</em>
Given:
Consider the expression are
1) 
2) ![\sqrt[3]{-8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-8%7D)
3) 
4) ![\sqrt[3]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D)
To find:
The simplified form of each expression.
Solution:
1. We have,
Therefore, the value of this expression is 6.
2. We have,
![\sqrt[3]{-8}=(-8)^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-8%7D%3D%28-8%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
![\sqrt[3]{-8}=((-2)^3)^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-8%7D%3D%28%28-2%29%5E3%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
![\sqrt[3]{-8}=(-2)^{\frac{3}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-8%7D%3D%28-2%29%5E%7B%5Cfrac%7B3%7D%7B3%7D%7D)
![\sqrt[3]{-8}=-2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-8%7D%3D-2)
Therefore, the value of this expression is -2.
3. We have,
Therefore, the value of this expression is -10.
4. We have,
![\sqrt[3]{27}=(27)^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D%3D%2827%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
![\sqrt[3]{27}=(3^3)^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D%3D%283%5E3%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
![\sqrt[3]{27}=(3)^{\frac{3}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D%3D%283%29%5E%7B%5Cfrac%7B3%7D%7B3%7D%7D)
![\sqrt[3]{27}=3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D%3D3)
Therefore, the value of this expression is 3.
Gravity simply does not allow that
Answer:
c=32.13
Step-by-step explanation:
Answer:
Step-by-step explanation:
first pic
Statement. Reasons
1. AC is congruent to 1.Given
HF
2.BC is congruent to. 2. Given
FE
3. Measure angle ACB. 3. Right angles are congruent
is congruent to Measure
angle HFE
4. Triangle ABC is
congruent to Triangle HEF 4. SAS, side angle side
second pic
statement. reason
1.Angle K is congruent 1. Given
to angle M
2.KL equals ML. 2. Given
3.Measure angle KLJ. 3.Vertical angles are congruent
is congruent to Measure
angle MLP
4Triangle JKL is congruent. 4. ASA, angle side angle
to triangle PML
third pic
statement. reason
1. Already stated. 1. Already stated
2 PT congruent to RS. 2. Given
3. Angle PQT congruent 3. Verticle angles are congruent
to Angle RQS
4. trianlge PQT is congruent to Triangle RQS. 4. ASA, angle side angle
( hope this helps! )
