Answer:
x=-2
Step-by-step explanation:
11=-4x+3
8=-4x
8/-4=-4x/-4
-2=x
Angles are undefined terms in plane geometry.
The true statements are:
- <em>4. </em>
<em>.</em> - <em>5. </em>
<em /> - <em>6. </em>
<em> is an obtuse angle</em> - <em>7. Its supplement must be an acute angle</em>
- <em>8. See attachment</em>
<em />
<u>Question 4</u>
The first statement is represented as:
![\angle A \cong \angle B](https://tex.z-dn.net/?f=%5Cangle%20A%20%5Ccong%20%5Cangle%20B)
Supplement of ![\angle B = 22^o](https://tex.z-dn.net/?f=%5Cangle%20B%20%3D%2022%5Eo)
means that A and B are congruent.
The supplementary of A and B would be the same
The measure of A is then calculated as:
![\angle A + 22 = 180](https://tex.z-dn.net/?f=%5Cangle%20A%20%2B%2022%20%3D%20180)
Subtract 22 from both sides
![\angle A = 180 -22](https://tex.z-dn.net/?f=%5Cangle%20A%20%3D%20180%20-22)
![\angle A = 158](https://tex.z-dn.net/?f=%5Cangle%20A%20%3D%20158)
<u>Question 5</u>
If LP and LQ are linear pairs, then:
![LP + LQ = 90](https://tex.z-dn.net/?f=LP%20%2B%20LQ%20%3D%2090)
So:
![\angle Q + LP + LQ = 180](https://tex.z-dn.net/?f=%5Cangle%20Q%20%2B%20LP%20%2B%20LQ%20%3D%20180)
Substitute ![LP + LQ = 90](https://tex.z-dn.net/?f=LP%20%2B%20LQ%20%3D%2090)
![\angle Q + 90 = 180](https://tex.z-dn.net/?f=%5Cangle%20Q%20%2B%2090%20%3D%20180)
Subtract 90 from both sides
![\angle Q =- 90 + 180](https://tex.z-dn.net/?f=%5Cangle%20Q%20%3D-%2090%20%2B%20180)
![\angle Q =90](https://tex.z-dn.net/?f=%5Cangle%20Q%20%3D90)
<u>Question 6</u>
--- S and T are supplementary
--- T and U are complementary
Subtract both equations
![\angle S + \angle T - \angle T - \angle U = 90 - 180](https://tex.z-dn.net/?f=%5Cangle%20S%20%2B%20%5Cangle%20T%20-%20%5Cangle%20T%20-%20%5Cangle%20U%20%3D%2090%20-%20180)
![\angle S - \angle U = -90](https://tex.z-dn.net/?f=%5Cangle%20S%20-%20%5Cangle%20U%20%3D%20-90)
Make U the subject
![\angle U = 90 + \angle S](https://tex.z-dn.net/?f=%5Cangle%20U%20%3D%2090%20%2B%20%5Cangle%20S)
This means that:
![\angle U > 90](https://tex.z-dn.net/?f=%5Cangle%20U%20%3E%2090)
Hence,
is an obtuse angle
<u>Question 7</u>
Obtuse angles are greater than 90 degrees but less than 180.
This means that their supplement must be an acute angle (i.e. less than 90)
<u>Question 8</u>
See attachment
Read more about angles at:
brainly.com/question/13954458
the answer is .1
10 to teh 5th divided by 10 to the sixth
$50-x=n
x=50-n
need more info you need to let me know what xis