Answer:
∠1 = 36°
∠2 = 72°
∠3 = 72°
∠4 = 72°
∠5 = 36°
Step-by-step explanation:
Question five
D is correct
10x-35
Question six
These are true
4(4y+7)
2(8y+14)
8(2y+4) - 4
2y+7(2y+4)
good luck
Answer:
The option D)
and
is correct
Step-by-step explanation:
Given that Sam is an artist, and he wants to purchase frames to display his work at home.
He wants to frame no fewer than 10 of his pieces, and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18.
<h3>To find the system of inequalities can Sam use to determine the number of large frames, x, and medium frames, y, that he can purchase to meet his needs :</h3>
Let x be the large frames cost
Therefore 
Let y be the medium frames cost
Therefore 
Sam's Spend amount is 
We can write the system of the given condition by


<h3>Therefore the option D)

and

is correct</h3>
Answer:
length: 13 cm
width: 5 cm
Step-by-step explanation:
You may be aware that 65 = 5×13. We note that 13 is 3 more than twice 5, so these are the dimensions of the rectangle:
5 cm wide; 13 cm long
__
If you want so solve this algebraically, you can let w represent the width. Then the length is 2w+3 and the area is ...
A = LW
65 = (2w+3)(w)
In standard form, this equation is ...
2w^2 +3w -65 = 0
To factor this, you look for factors of 2×(-65) = -130 that have a sum of 3. Those would be ...
-130 = (-10)(13)
Then the factored equation is ...
2w^2 +13w -10w -65 = 0
w(2w+13) -5(2w+13) = 0
(w -5)(2w +13) = 0 ⇒ w = 5, -13/2
The positive solution makes sense in this problem, so ...
width = 5 cm
length = 2(5) +3 = 13 cm
-3(3y-2x)+ 2(5x-4y)
-9y+6x+10x-8y
-17y+16x
So the answer is D.