Answer:
Leave it
Step-by-step explanation:
1/8x has a different variable than 3 so the only way to solve it is to leave it the same
Answer:
6: (0,9)
7: ( -10, -3)
8: (-12,9)
9: (2,0)
Step-by-step explanation:
Your question is not complete so there are two answers:
<h3>1. </h3>
The measure of one angle is 13 <u>times</u> the measure of the other angle.
Answer:
<h3>
One angle is 167.14° and the other is 12.86°
</h3>
Step-by-step explanation:
Two angles of a linear pair create a straight angle therefore they add to 180°
x° - the other angle
(13x)° - one angle
x + 13x = 180
14x = 180
÷14 ÷14
x ≈ 12.86
13x = 13•12.86 = 167.14
Checking: 12.96+167.14 = 180
<h3 /><h3>2. </h3>
The measure of one angle is 13 <u>more than</u> the measure of the other angle.
Answer:
<h3>
One angle is 96.5° and the other is 83.5°
</h3>
Step-by-step explanation:
Two angles of a linear pair create a straight angle therefore they add to 180°
x° - the other angle
(x+13)° - one angle
x + x + 13 = 180
-13 -13
2x = 167
÷14 ÷14
x ≈ 83.5
x+13 = 83.5 + 13 = 96.5
Checking: 83.5+96.5 = 180
Answer:
29
Step-by-step explanation:
Let x represent the length of DE. Then ...
AB = x
AD = AB -BD = x - 9
__
AC = x
AE = AC -CE = x - 8
And the Pythagorean theorem applied to triangle ADE tells us ...
x^2 = (x -9)^2 +(x -8)^2
0 = x^2 -34x +145 = (x -5)(x -29)
Solutions are the values of x that make a factor zero: 5 or 29.
The length of DE must be greater than 9, so the appropriate solution from the above equation is x = 29.
The length of DE is 29.
Answer:
See Below.
Step-by-step explanation:
We are given that ∠1 and ∠7 are supplementary.
And we would like to prove that a is parallel to b.
Statements: Reasons:
Given
Supplementary Angles
Definition of Supplementary
Congruent Supplements Theorem
Corresponding Angles Converse
And we are done!