Answer:
a. 35 degrees
b. 145 degrees
Step-by-step explanation:
a. Since the two base angles of this triangle are congruent, we can conclude that the triangle is <em>isosceles, </em>which means that the two base angles and sides are congruent.
Now, knowing that information, we can subtract 110 from 180 (the sum of all interior angles in a triangle) and we get 70. But this isn't our answer. This is the sum of both base angles. Since the base angles are congruent, we can divide the 70 by 2 to get the measure of ONE base angle, which is 35 degrees.
b. There are two approaches to solve this problem. I have worked both out.
1) We can use the Exterior Angle Theorem, which states that the sum of the interior angles is equal to the exterior angle. We can add 110 to 35, so we get 145 degrees as the measure of <1.
2) The second approach is supplementary angles. Since we see that one of the base angles and <1 is on the same line, we can subtract 35 from 180 to find the measure of <1 to get 145 degrees.
Either way you use, you get the correct answer. Hope this helped!
Answer:
18
24 x 18 = 432
Step-by-step explanation:
Answer:
Considering that the shaded area is the part of the semi circle outside the triangle:
Area of circle= Pi x radius2 (this means radius squared)
Area of triangle= 1/2 x base x height
1/2 (because it is a semi circle) x 3.14 (in replacement of pi as directed by question) x 9squared= 127.17
127.17 - (1/2 x 18 x 9) = 46.17cmsquared
One company charges:
$376 + $12*h
Other company charges:
$280 + $15*h
They will both charge the same when:
$376 + $12*h = $280 + $15*h
96 = 3*h
hours = 32
Cost will be $760
Double Check
$376 + $12 * 32 hours = $760
$280 + $15 * 32 hours = $760
Answer:
addition property
Step-by-step explanation:
Although you need to convert the fractions to have the same denominator, you can simply add them up once you converted them
