A is c=75 B is a=120 C is b= square root of 75 and D= square root of 245
The base angles of an isosceles triangle are equal
The base angles are 15 degrees, while the vertex angle is 150 degrees
The base angles are given as:
Base = (6a- 3) and (a + 12)
So, we have:

Collect like terms


Divide both sides by 5

Substitute 3 for a in Base = (6a- 3),



So, the base angle is 15 degrees.
The vertex angle is calculated using:

So, we have:


Hence, the vertex angle is 150 degrees
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Answer: Each kid will receive one piece of cake and 1 hot dog, so 43 x 2 = 86
Step-by-step explanation:
43x2= 86
Answer:
10.5 squared centimetres.
Step-by-step explanation:
First, find the area of that sector. We are already given that the circle is 154 squared centimetres.
We are given 90 degrees (or one fourth of the circle). Thus, divide 154 by 4 to get the area of the sector (the white area).
The area of the sector is 154/4 or 38.5
We then need to find the area of the square. After that, we can subtract the sector area (the white area) from the area of the square (the total area) to find the area of the shaded section.
The area of the square is 7*7 or 49.
Thus, the shaded portion will be 49-38.5 or 10.5 squared centimetres.
Answer:
dilation is an enlargment and the scale factor is 2
Step-by-step explanation: