Answer:
x = 45
Step-by-step explanation:
The angles labeled with the pink x are the same. Line V and Line X are parallel and alternate interior angles are equal when the lines are parallel.
We know the 3 angles inside the triangle and the sum of the angles of a triangle are 180
x+x+ 2x = 180
4x= 180
4x/4 = 180/4
x = 45
Answer:
Area = 245m^2
Step-by-step explanation:
We can split this figure into 2 parts, a rectangle and a trapezoid.
Rectangle Sides = 10m and 20m
Area = 10m x 20m = 200m
Trapezoid formula = a+b/2(h)
a and b are the 2 bases and h is the height
Using a little deductive reasoning we get the following, 5+10/2(6)
This simplifies to 15/2(6) -->
7.5(6) = 45
Thus, our area is 200 + 45, or 245m^2
To find the cost of 1 pound, we need to divide $19.14 by 3.25 pounds. 19.14/3.25= 5.88923076923. We can round this to the nearest hundredths to make $5.89. So, the cost of 1 pound of coffee beans is $5.89. Hope this helped!
21. In a parallelogram, opposite angles are equal and adjacent angles are supplementary (add to 180°).
m∠R = m∠P = 180° -m∠Q
m∠Q = 107°
m∠P = 73°
25. If you draw any diagonal, it divides the figure into two congruent triangles (by the SSS postulate). Corresponding angles are congruent, so the diagonal is a transversal between parallel lines. Thus opposite sides are parallel and the figure is a parallelogram.
27. Opposite sides are equal, and the diagonals bisect each other. Your four equations are
2w+4 = 5w-6 . . . . w = 10/3
12 = 3x-3 . . . . . . . x = 5
6y = 4y+6 . . . . . . . y = 3
27 = (5/4)z +2 . . . z = 20
Answer:
$290.
Step-by-step explanation:
We have been given that Rachel Perez rented a car for 3 days at $40.00 per day.
We are also told that she pays $0.20 per mile for renting the car. As she covered a total distance of 500 miles, so cost of renting car foe 500 miles will be:
As Rachel purchased the collision deductible for $10.00 per day to protect herself in case of an accident, so cost of collision deductible for 3 days will be:
She also paid $40 for gasoline to cover 500 miles, so we can find total cost to rent the car for 3 days to cover 500 miles by adding all the expenses.
Therefore, the total cost to rent the car was $290.
