Answer:
240
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello There!
<u>Geometry</u>
The angles shown represented by the expressions (11x + 5) and (5x+59) are vertical angles
Vertical angles are congruent so we can use this equation to solve for x
<u>Basic Algebra</u>
11x + 5 = 5x + 59
step 1 subtract 5x from each side
5x - 5x cancels out
11x - 5x = 6x
now we have 6x + 5 = 59
step 2 subtract each side by 5
5 - 5 cancels out
59 - 5 = 54
now we have 54 = 6x
step 3 divide each side by 6
6x/6=x
54/6=9
we're left with x = 9
now we want to plug in 9 into x for one of the expression
11(9) + 5
11 * 9 = 99
99 + 5 = 104
so we can conclude that the measure of the angle labeled ( 11x + 5 ) is 104 degrees
Now we need to find z
<u>Geometry</u>
The angle with a measure of 104 and angle Z are supplementary angles meaning that the sum of the two is 180
So to find z we subtract the known angle (104) from 180
180 - 104 = 76
so we can conclude that z = 76
The angle congruent to ∠6 are ∠8, ∠3, ∠9 and ∠14
<h3>How to find congruent angles?</h3>
When parallel lines are cut by a transversal, angle relationships are formed. They include corresponding , alternate and many more.
L║m
n ║ q
Therefore, the angles congruent to ∠6 by alternate or corresponding relationship are as follows:
∠6≅∠8≅∠3≅∠9≅∠14
learn more on angles here: brainly.com/question/15443897
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The answer is E=mc², Einstein's revolutionary formula.
Answer:
20
Step-by-step explanation:
first plug it in, then solve. Step by step:
3(5 + 2) - 1
3(7) - 1
21 - 1
20