Answer:

Step-by-step explanation:
Given
Lines x and y
Transversal b

Required
Find 
From the attachment,
and
are vertically opposite.
This means that

Similarly
and
are supplementary angles
So:

Make
the subject



The relationship between
and
is that they are supplementary angles because:

Answer:
order of operation
first subtract 4 from both sides
then it is 6d=30
then divide by 6 and your answer if 5
ANSWER=5
please mark brainliest
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
<h3>
Answer: 80 meters</h3>
This is an isosceles triangle. The dashed line is the height which is perpendicular to the base 120. The height is always perpendicular to the base. The dashed line cuts the base into two equal pieces (this only works for isosceles triangles when you cut at the vertex like this).
So we have two smaller triangles each with a base of 60 and a height of x. Focus on one of the right triangles and use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
x^2 + (60)^2 = (100)^2
x^2 + 3600 = 10000
x^2 = 10000 - 3600
x^2 = 6400
x = sqrt(6400)
x = 80
Each smaller right triangle has side lengths of 60, 80, 100
Note the ratio 60:80:100 reduces to 3:4:5. A 3-4-5 right triangle is a very common pythagorean primitive.