The question is which figure shows ∠ POQ.
The answer is the option A.
Justification:
The notation ∠ POQ means angle POQ. And that means:
1) the vertex of the angle is the point O (this is the letter at the center of the name).
2) The sense of the measure is from P to Q counter clockwise.
That is what the figure A shows.
The figue B shows ∠ OQP, the figure C shows ∠QPR, and the figure D shows ∠QRP
So you subtract 64.50 - 47.10 and it equals 17.4 and then you divide that by 4 and your answer is 4.35
Answer:
The length is 12 inches and the width is 8 inches.
Step-by-step explanation:
36
It is going up by odd numbers.
So the next term would be 24+12=36
Answer:
Gina is 12 years old
Step-by-step explanation:
First, we will have to write these statements mathematically and then solve.
Let Gina's age be x, let Gina's brother's age be y and let Gina's sister's age be z.
The second statement"Gina's older sister is twice Gina's age" can be mathematically written as: z =2 x ---------------------------(1)
The next statement "Gina's brother is half Gina's age" can be mathematically written as y = ---------------------------------------(2)
Then the next statement "the sum of their ages is 42" can be mathematically written as: x + y + z = 42 ----------------------------(3)
We can now proceed to solve;
Substitute equation (1) and equation(2) into equation (3)
x + y + z = 42
x + + 2x = 42
Multiply through by 2
2x + x + 4x = 84
7x = 84
Divide both-side of the equation by 7
=
x = 12
Therefore, Gina is 12 years old