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:
In 4 months, they will both have 132 stamps.
Step-by-step explanation:
Let x = # of months
52 + 20x = 68 + 16x
4x = 16
x = 4
Plug x value into both expressions and see if it checks out
52 + 20(4) = 68 + 16(4)
52 + 80 = 68 + 64
132 = 132
Answer:
4/9
Step-by-step explanation:
3L /2 = 2/3 cross multiply expressions
9L = 4 divide both sides by 9
L = 4/9
Answer:
56/3
Step-by-step explanation:
6x-54=3x+2
3x-54=2
3x=56
x=56/3
$20×.25=$5
$20-$5=$15
$15×.15=$2.25
$15+$2.25=$17.25
$17.25 is your answer
