Answer:
c
Step-by-step explanation:
Already took this test
In the ratio, the numbers are 2 for the shortest side, 3 for the middle sized side, and 4 for the longest side.
2 is to 6 cm as 4 is to x
2/6 = 4/x
2x = 4 * 6
2x = 24
x = 12
Answer: The longest side measures 12 cm.
Answer: Number one is C and number two is B
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).
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Answer:
y² -7y+12
Step-by-step explanation:
first, you have to multiply each character on the first parenthesis to the second one, one by one. just like the picture attached.
then, combine all of the same variable. like the 2 variable that has y.