Answer:
C. Alternate interior angles are congruent
Step-by-step explanation:
<Y and <4 are two alternate angles within the two parallel lines cut across by the transversal, hence, they are called alternate interior angles.
Alternate interior angles are always congruent to each other. Therefore, the reason that justifies statement two: "<Y ≅ <4", is "Alternate interior angles are congruent".
The equation of a line that goes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
so, given the point (-2,8)
x1=-2
y1=8
y-8=m(x-(-2))
y-8=m(x+2)
the equation is y-8=m(x+2) where m is the slope
or you could rewrite it to get y=mx+2m+8
Answer:
4. x = 16.8
5. x = 35.98
Step-by-step explanation:
For both triangles that you need to work on, use the trigonometric function which is tan and you are dividing opposite by adjacent for the answers.
For number 4, the equation you are setting up is tan 35 = x/24. Multiply 24 on both sides to get the answer which is 16.8 for the x side.
For number 5, the equation you are setting up is tan 17 = 11/x. As a result on your calculator, you should get 35.98 for the x side.
To solve for the width simply multiply the two numbers:
width of sidewalk = 12 * (3 7/8)
Where 3 7/8 = 31/8
so calculating,
width of sidewalk = 12 * (31 / 8)
<span>width of sidewalk = 46.5 inches</span>
