It decrease and it percentage is 53
Answer:
∠GHE = 55°
Step-by-step explanation:
ABCD is a quadrilateral (4 sided figure). We know that the sum of the interior angles (4 angles) of a quadrilateral in 360°.
Thus, A + B + C + D = 360
<em>we know b = c = 90 and a = 125, thus we can find D.</em>
<em>125 + 90 + 90 + D = 360</em>
305 + D = 360
D = 360 - 305 = 55°
<u>Note:</u> since Quadrilateral ABCD is congruent to Quadrilateral EFGH, then the measure of D is equal to measure of H (Angle GHE). Thus
∠GHE = 55°
2nd answer choice is correct
Answer:
US$ 132.45
Step-by-step explanation:
See attachment for the missing table.
Given:
Richard’s checking account balance at the beginning of the week = $57.34
<u>Richard’s account balance at the end of the week from the given table:</u>
Deposits of the week = US$ 163.75
Expenses of the week = Groceries + Credit card bill + Gas
Expenses of the week = 25.37 + 50 + 13.27
Expenses of the week = US$ 88.64
Richard’s account balance at the end of the week = Richard’s checking account balance at the beginning of the week + Deposits of the week - Expenses of the week
Replacing with the real values:
Richard’s account balance at the end of the week = 57.34 + 163.75 - 88.64
=US$ 132.4
Simultaneous Equations
3x + y = 4
5x - y = 22
The signs of the matching values aren't the same so we add the rest of the equations.
8x = 26
Divide both sides by 8 to get x = 3.25
Now substitute back into the first equation.
(3 x 3.25) + y = 4
9.75 + y = 4
Subtract 9.75 from both sides
y = -5.75