we know that
The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
Let
s------> the length of the third side

therefore
<u>The answer part a) is</u>

we know that
the perimeter of a triangle is the sum of the length sides
In this problem

<u>For
</u>
the perimeter is equal to

<u>For
</u>
the perimeter is equal to

so

therefore
<u>the answer part b) is</u>

Area of a trapezoid = a+b+c x h
10 + 5 +12 = 27 x h
27h = 27 x 1.5 = 40.5
Answer:
Factors are numbers you can multiply to get each number. For example, for 30 you would have factors of 1, 2, 3, 5, 6, 10, 15, and 30. I got that because 1 x 30 = 30, 2 x 15=30, 3 x 10 = 30, and 5 x 6= 30. If the factors are just 1 and that number it is prime. If there are other factors, it is composite. 30 would be composite.
Step-by-step explanation:
<span>You are given circle R that has a radius of 6 inches. And then you are given points S, T, and U that lie on circle R, clockwise in alphabetical order. Also you are given m∠TRS = 98°and you are asked to find the m∠TUS. To solve this, you have to draw the circle first.
Draw a circle with R being a point at the center of it. Then place the points S, T and U around the circle. So that would mean any point, S, T and U that connects on R would have a value of 6 inches. Also, these are your radius.
You also know that m</span>∠TRS = 98°. You know that the circle, if you will base your angle from the center or its interior angle is just equal to 360°. To get the m∠TUS, subtract 360 to 98.
360° - 98° = 262°
therefore, m∠TUS is 262°
Answer:
A.
Step-by-step explanation:
The total amount Akash paid in those 3 months for his cell phone bill.