Answer:
x = 20
Step-by-step explanation:
The angles shown are alternate exterior angles.
Alternate exterior angles are congruent
This means that 46 must equal 3x - 14
Note that we've just created an equation that we can use to solve for
We now use the equation to solve for x
3x - 14 = 46
add 14 to both sides
3x - 14 + 14 = 46 + 14
simplify
3x = 60
Divide both sides by 3
3x / 3 = x
60 / 3 = 20
We get that x = 20
80% of what is 56
0.80x = 56
x = 56/0.80
x = 70
check..
80% of 70 is 56
.80(70) = 56
56 = 56 (correct)
so there were 70 items on the test
Answer:
Step-by-step explanation:
Use a^2 + b^2 = c^2 to get the third side.
a = 12
b = ?
c = 37
a^2 + b^2 = c^2
144 + b^2 = 37^2
144 + b^2 = 1369 Subtract 144 from both sides.
<u>-144 -144</u>
b^2 = 1225 Take the square root of both sides
sqrt(b^2) = sqrt(1225)
b = 35
Perimeter = a + b + c
Perimeter = 12 + 35 + 37
Perimeter = 84
Y/3=6 and 4y/9=8 and since it asks for the sum the ANSWER IS 14!
Answer:
140 degrees
Step-by-step explanation:
Hi there!
To find a coterminal angle, we must either add or subtract a multiple of 360 to a given angle.
Because the given angle is -1300 degrees and we must find a coterminal angle between 0 and 360 degrees, we can try adding multiples of 360 to 1300 degrees.
You'll find that after we add 360 four times, we get 140 degrees. 140 degrees sits between 0 and 360 degrees. Therefore, the angle between 0 and 360 degrees coterminal with the angle measuring -1300 degrees is 140 degrees.
I hope this helps!