Answer:
70
Step-by-step explanation:
The angle not marked in the top triangle is 40 degrees since it is an isosceles triangle. That makes the angle opposite it in the other triangle 40 degrees since they are vertical angles and vertical angles are equal.
The bottom triangle has 3 angles that sum to 180 degrees, The other angle not marked is also y since it is an isosceles triangle.
40 + y +y = 180
Subtract 40 from each side and combine like terms
40-40 +2y = 180-40
2y = 140
Divide by 2
2y/2 = 140/2
y = 70
Answer:
yes what is it
Step-by-step explanation:
STEP 1
find cubic feet; multiply the three dimensions together; be sure to use the same unit of measure for all three dimensions: 6 inches is equal to 1/2'.
= 38' * 37' * 1/2'
multiply
= 703 cubic feet
STEP 2
divide cubic feet in step 1 by number of cubic feet in a cubic yard
27 cubic feet= 1 cubic yard
= 703 ÷ 27
= 26.037 cubic yards
STEP 3
multiply cubic yards in step 2 by cost per cubic yard
= 26.037 * $150
= $3,905.555
= $3,906 rounded to nearest dollar
ANSWER: It will cost $3,906 (rounded to nearest dollar).
Hope this helps! :)
Answer:
$10
Step-by-step explanation:
Let a = the amount Angela has saved.
Let e = the amount Eli has saved.
"Eli has saved $8 more than 1/3 of Angela's savings."
e = a/3 + 8
"If they each save $10 more." then
Eli will have: e + 10
Angela will have a + 10
"Eli will have saved $4 more than Angela's savings."
e + 10 = a + 10 + 4
This equation simplifies to: e = a + 4
We have a system of two equations in two variables.
e = a/3 + 8
e = a + 4
Since both equations are solved for e, we just equate the right sides.
a/3 + 8 = a + 4
Subtract a/3 from both sides. Subtract 4 from both sides.
a/3 - a/3 + 8 - 4 = a - a/3 + 4 - 4
4 = (2/3)a
Multiply both sides by 3/2
(3/2)4 = (3/2)(2/3)a
6 = a
a = 6
Angela has $6.
e = a + 4 = 6 + 4 = 10
Eli has $10.
Answer:
b 120 cm
Step-by-step explanation: