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:
45500
Step-by-step explanation:
175 can be multiplied by 200 which gives you 35000 plus 175 times 60 which gives you 10500. You can add and you get 45500.
I was a first place champion in number sense and thats my strategy
Thank you!!!
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1 cause it goes 1 10 100 1000 10,000 100,000
Answer: 22cm
Step-by-step explanation:
A square has four sides with equal length So, the perimeter of a square = 4L (i.e 4 x length)
= 4 x 5.5cm
= 22cm
Thus, the perimeter of the square is 22cm
