D. He was born on January 20th
If he was born on January 20th, he would be the oldest in his school classes. Right when the new year starts, his birthday comes up.
Answer: x is 9° , y is 21°. The measure of angle ABE is 48°.
Step-by-step explanation:
First we will solve for x.
The variable x appears in the angle 8x + 18 and that angle is a right angle.
Right angles have the measure of 90 degrees so we will set the angle equal 90 and solve for x.
8x + 18 = 90 Subtract 18 from both sides
- 18 -18
8x = 72 divide both sides by 8
x = 9
y is also on the right side and the combination of both angles has to also equal 90 degrees because they form a right angle.
Since we already know x is 9 we will input it into the left side for x and solve for y.
y + 3(9) + 2y = 90
3y + 27= 90
-27 -27
3y = 63
y = 21
Now we need to find the measure of angle ABE.
ABE is represented by y + 3x so since we know the value of y and x we will input it into the expression and solve for the angle.
21 + 3(9) = m∠ABE
21 + 27= m∠ABE
48 = m∠ABE
This means the measure of angle ABE is 48°
Answer:
12 x^4 y^2
Step-by-step explanation:
6x^2y^2 and 12 x^4 y
First find the least common multiple of the coefficients
6 and 12
12 is the smallest number that they both go into
Then find the least common multiple of the x terms
x^2 and x^4
x^4 is the smallest that they both go into
Then find the least common multiple of the y terms
y^2 and y
y^2 is the smallest that they both go into
The least common multiple is
12 x^4 y^2
Answer:
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