As you can see, angle 5 and angle 6 are supplementary. And angle 5 and angle 3 are congruent because they are alternate interior angles.
So it will be
x+2 = 180- x+3
move x over from the right to the left
2x+2 = 183
move 2 over from the left to the right
2x = 181
divide by 2
x= 90.5
and angle 3 and angle 1 are vertical angles so they are congruent. Using the angle 3 formula to solve for the answer:
90.5+3 =93.5
When angles are congruent, their measures are congruent, therefore, measure of angle 1 is 93.5
Answer:
She Has To Work For Around 23 Hours.
How I Found The Answer:
10 x 23 = 230 Dollars
230 + 25 = 255 Dollars
Hey there!
In this problem, we'll just be finding the surface area of a rectangular prism. In this example, a surface area is a sum of all the areas of each individual face. On this rectangular prism, we have 6 faces, and two of each kind. Our formula is:
SA = 2(lw + wh + lh)
Notice how it has a 2. That two is because those two variables just applies for one side, and there's two for each type of side. On this diagram, the rightmost side's area would be the width (32) times the height (49) and the product would be the area. Let's plug in our numbers:
SA = 2(41 * 32 + 32*49 + 41*49)
Multiply:
SA = 2( 1312 + 1568 + 2009) =
Add:
SA = 2(2880 + 2009)
SA = 2(4889)
SA = 9778 ft squared, or C.
Hope this helps!