Answer:
Step-by-step explanation:
a
Answer:
m < 1 = 18°
Step-by-step explanation:
If <ABD = 72°, and m < 2 is three times the measure of m < 1, then:
Let < ABC = m < 1 = x
< CBD = m < 2 = 3x
We can set up the following formula, since the sum of the measures of angles < 1 and < 2 is equal to <ABD (72°):
m < 1 + m < 2 = < ABD
x + 3x = 72°
Add like terms:
4x = 72°
Divide both sides by 4 to solve for x:
x = 18
Since x = 18, and m < 1 = x , then m < 1 = 18°.
And since m < 2 = 3x, then m < 2 = 3(18°) = 54°.
Let's check to see whether we derived the correct answers by plugging in the values of m < 1 and m < 2 into the established formula:
m < 1 + m < 2 = < ABD
18° + 54° = 72°
72° = 72° (True statement).
Please mark my answers as the Brainliest if my explanations were helpful :)
Answer:
x=31
y=6
Step-by-step explanation:
2x+3y=80
x+y=37
solve by elimination:( multiply second equation by 2) to eliminate x
2x+3y=80
2x+2y=74
subtract the two equations:
2x+3y-(3x+2y)=80-74
2x+3y-3x-2y=6
y=6 (3 point basket)
substitute: x+y=37, x=37-6=31
x=31 (2 point shot)
Answer:
1/4
Step-by-step explanation:
For number 8, the area will be 350 square yard because the total area of the rectangle is 20 times 18 will equal 360 square yards, and I know that the area of the cutting rectangle is 5 times 2 equals 10 square yard, so the rest of the rectangle will be 360-10 or 350 square yards. For number 9, the area will be 28 square meters because the area of the whole rectangle is 40 square meters, and I found the area of the rectangle that already cut which equal 4 times 3 equal 12 square meters, so the area of the rectangle that does not cut will be 40-12 or 28 square meters. For number 10, the answer will be 92 square feet because the area of the complete rectangle wipp be 14 times 10 equal 140 square feet, and the area of the rectangle that already cut is 8 timed 6 equal 48 square feet, so the area that had left will equal 140-48 or 92 square feet. Hope it help!
