Answer:
1. x = 5
Step-by-step explanation:
1.
The Trapezoid Midsegment Theorem states that a line segment connecting the midpoints of the legs of the trapezoid is parallel to the bases, and equal to half their sum.
In this problem you can see that 5x - 1 is the midsegment of the trapezoid, so using the rule:
![(21 + 27) / 2 = 5x -1](https://tex.z-dn.net/?f=%2821%20%2B%2027%29%20%2F%202%20%3D%205x%20-1)
solve:
![48/2 = 5x-1\\24 = 5x - 1\\25 = 5x\\x= 5](https://tex.z-dn.net/?f=48%2F2%20%3D%205x-1%5C%5C24%20%3D%205x%20-%201%5C%5C25%20%3D%205x%5C%5Cx%3D%205)
2. Diagonals are congruent
You can see in this picture that the diagonals are not always congruent:
Answer:
I got 6.7 but I'm not entirely sure
Step-by-step explanation:
Pythagorean Theorem is A² + B² = C²
So you take 6² + 3² = 45
Take 45 and square root it
The answer should be 6.708, but rounding to the nearest tenth, the answer is 6.7
10,000 hours is 600,000 minutes, or 36,000,000 seconds
<h2><u>Given </u><u>:</u><u>-</u></h2>
- <u>
</u> ![\bf⟹ \: 4x + 12 = 8](https://tex.z-dn.net/?f=%20%5Cbf%E2%9F%B9%20%5C%3A%204x%20%2B%2012%20%3D%208)
![\large\bf{\underline{We\:have\:to\:find:-}}](https://tex.z-dn.net/?f=%5Clarge%5Cbf%7B%5Cunderline%7BWe%5C%3Ahave%5C%3Ato%5C%3Afind%3A-%7D%7D)
![\large\bf{\underline{To \:find\:the\:value\:of\:x}}](https://tex.z-dn.net/?f=%5Clarge%5Cbf%7B%5Cunderline%7BTo%20%5C%3Afind%5C%3Athe%5C%3Avalue%5C%3Aof%5C%3Ax%7D%7D)
![⟹4x + 12 = 8](https://tex.z-dn.net/?f=%E2%9F%B94x%20%2B%2012%20%3D%208)
![⟹4x = 8 - 12](https://tex.z-dn.net/?f=%E2%9F%B94x%20%3D%208%20-%2012)
![⟹4x = - 4](https://tex.z-dn.net/?f=%E2%9F%B94x%20%3D%20%20-%204)
![⟹x = \frac{ - 4}{4}](https://tex.z-dn.net/?f=%E2%9F%B9x%20%3D%20%20%5Cfrac%7B%20-%204%7D%7B4%7D%20)
![⟹x = - 1](https://tex.z-dn.net/?f=%E2%9F%B9x%20%3D%20%20-%201)
![\large\bf{\underline{Putting\:the\:value\:of\:x\:in\:2x+7}}](https://tex.z-dn.net/?f=%5Clarge%5Cbf%7B%5Cunderline%7BPutting%5C%3Athe%5C%3Avalue%5C%3Aof%5C%3Ax%5C%3Ain%5C%3A2x%2B7%7D%7D)
![=2x + 7](https://tex.z-dn.net/?f=%3D2x%20%2B%207)
![=2( - 1) + 7](https://tex.z-dn.net/?f=%3D2%28%20-%201%29%20%2B%207)
![= - 2 + 7](https://tex.z-dn.net/?f=%3D%20-%202%20%2B%207)
![= 5](https://tex.z-dn.net/?f=%3D%205)
__________________________________________
![\large\bf{\underline{Hence}}](https://tex.z-dn.net/?f=%5Clarge%5Cbf%7B%5Cunderline%7BHence%7D%7D)
![\huge{2x + 7}](https://tex.z-dn.net/?f=%5Chuge%7B2x%20%2B%207%7D)
![\huge{=5}](https://tex.z-dn.net/?f=%5Chuge%7B%3D5%7D)