What we know:
shape is rectangle which means the 2 long sides have equal distance and the 2 short sides have equal distance
we just need to find the distance of one long side and one short side for the perimeter which is the outline of the rectangle. Imagine the perimeter is the fence around the rectangle that you would probably have to paint every 3 years and the area would be where the grass would grow in the rectangle which you would probably have to cut every weekend.
perimeter=2l+2w
What we need to find: PERIMETER
Using pythagorean method a² +b²=h² to find length:
From point (-6,1) to point (3,8) is a rise of 9 and a run of 9 right to get from one point to another, those are my a and b in the pythagorean formula.
a² +b²=h²
(9)²+(9)²=h² substitution
81+81=h² simplified
162=h²
√162=√h2 used radical properties
√162=h length =√162
Using pythagorean method a² +b²=h² to find width:
From points (-6,-1) to point (-3,-4) is a down 3 units and left 3 units to reach from one point to another, these are my a and b for the pythagorean formula.
a² +b²=h²
(3)²+(3)²=h²
9+9=h²
18=h²
√18=√h²
√18=h this is the width=√18
Now we find perimeter:
p=2l+2w
p=2(√162)+2(√18)
p≈33.9
D. 33.9 units
Hello!
We are given that the measure of one angle is equal to 115 degrees (for convenience, we’ll refer to this angle as ∠W). Looking at the image above, we can see that ∠W and ∠Y are supplementary angles. Supplementary angles are two angles whose measures add to a sum of 180 degrees, also known as a straight line. This relationship can be expressed using the following formula:
A1 + A2 = 180
Now insert any known values provided by the image above:
(115) + (∠Y) = 180
Subtract 115 from both sides of the equation:
∠Y = 65
We have now proven that ∠Y has a measure of 65 degrees. Now, looking at the image again, we can see that ∠W and ∠X are vertical angles. Vertical angles are two angles that lie on opposite sides of two intersecting lines. A pair of vertical angles is always equal in measure. This relationship can be expressed using the following formula:
A1 = A2
Now insert any known values provided by the image above:
(∠X) = (115)
We have now proven that ∠X has a measure of 115 degrees.
I hope this helps!
Answer:
117° since they are alternate exterior angles
Answer:
x=-5
Step-by-step explanation:
4(x-5)+2=x+3 As the first step says, distribute the 4 (multiply all numbers in the parentheses by 4).
4x-20+2=x-3 Combine like terms. For example, the -20 and 2 are like terms because they are both their own numbers and not attached to a variable.
4x-18=x-3 Subtract x from each side. Now, we can get x to only one side.
<u>-x -x</u>
3x-18=-3 Add 18 to both sides.
<u>+18 +18</u>
3x=-15 Divide both sides by 3.
<u>/3 /3</u>
x=-5
I hope this helped you!! Have a great day c:
Andrea can cut 4 1/2 (or 4.5) inch pieces from her original piece.
18/4 = 4.5
Hope this helps!
