<span>let length of painting = L
and width = W
from area = length times width
180 inch^2 = L times W
but L = 5/4 times W
180 inch^2 = 5/4 times W times W
W^2 = (4 x 180)/5
W = 12
but L = 5/4 x W
L = 5/4 x 12
L = 15
</span>
<span>Answer: The dimensions of the painting are </span><u>12 x 15 inches</u>.
Answer:
<u>Please read the answers below.</u>
Step-by-step explanation:
Let's recall that in a square all its sides are equal length and all the four internal angles measure 90 °
5. If LN = 46, then we have:
OM = <u>46</u> (Same length than LN)
PN = LN/2 = 46/2 = <u>23</u>
ON = √LN²/2 = √ 46²/2 = √ 2,116/2 = √ 1,058 = <u>32.53 (Rounding to two decimal places)</u>
MN = ON = <u>32.53</u>
6. m ∠EFG = <u>90°</u>
m ∠GDH = ∠GDH/2 = 90/2 =<u> 45°</u>
m ∠FEG = ∠DEF/2 = 90/2 =<u> 45°</u>
m ∠DHG = 180 - (∠GDH + ∠DGH) = 180 - (45 + 45)= 180 - 90 = <u>90</u>°
7. Solve for x
6x - 21 = ∠PQR/2
6x - 21 = 90/2
6x - 21 = 45
6x = 45 +21
6x = 66
<u>x = 11</u>
m = 4, p = 4
Note that when two variables are placed directly next to each other, you are multiplying
plug in 4 for both m and p
(4)(4) + 4
Multiply
4 x 4 = 16
Add
16 + 4 = 20
20 is your answer
hope this helps
Step-by-step explanation:
(x+2y)(x-2y)
- x^2-2xy+2xy-(2y)^2
- x^2-4y^2
