Data:
l and m are parallel lines
QR and ST are perpendicular in R
Angle 1 is 63°
The angle formed by perpendicular lines is a right angle (90°)
Angles 1 and 3 are alternate angles: angles that occur on opposite sides of a transversal line that is crossing two parallel.
Alternate angles are congruent, have the same measure.
The sum of the interior angles of a triangle is always 180°. In triangle QRT:
Use the equation above to find the measure of angle 2:
Then, the measure of angle 2 is 27°
200 miles
$71-$35=$36 left in budget
$36/.18 per mile= 200 miles
Answer:
(3) 
and 
(4) 
Step-by-step explanation:
Question 3
Required
Solve for x and y
We have:
--- angle on a straight line
Collect like terms
Solve for x
Also:
---- opposite angles
So, we have:
Divide by 2
Question 4:
Required
Solve for x
We have:
---- angle at right-angled
Collect like terms
Divide by 16
Step-by-step explanation:
( y = 4x/5 + 2)
m1.m2 = -1
4/5.m2 = -1
m2 = -5/4
formula = y - y1 = m2 ( x - x1)
y - 3 = -5/4 ( x - 6)
y -3 = -5x /4 + 30/4
y = -5x /4 + 21/2
The surface to be paint is 4 * 12*8.5= 408 ft squared
1 gallon.......75 ftsquared
x gallon.......408 ft squared
------------------------------------
x= 408/75= 5,44 gallons
