Step-by-step explanation:
here's the solution,
in the given figure , sum of all angles formed with O measures 360°
because, it forms a complete angle
so,
=》mPOQ + mQOR + mROS + mSOT + mTOP = 360°
=》mPOQ + mQOR + mROS + mSOT + mTOP = (90° × 4)
=》mPOQ + mQOR + mROS + mSOT + mTOP = 4 × right angle
(cuz.. right angle = 90°)
Answer:
15) For a regular polygon of N sides, the measure of one interior angle is:
A = (N - 2)*180°/N
In this case, the figure has 11 sides, then we have N = 11, and the measure of each interior angle will be:
A = (11 - 2)*180°/11
A = 9*180°/11 = 147.27°
Rounding to the first decimal after the decimal point, we get:
A = 147.3°
Then the correct option is B.
16) We know that the length of all the sides of a square is the same.
In the image, we can see that the length of the right side is 4, and the length of the top side is 2x + 4
And those lengths must be the same, then we have the equation:
2x + 4 = 4
subtracting 4 in each side of the equation we get:
2x + 4 - 4 = 4 - 4
2x = 0
The only solution for this equation is x = 0.
Then the correct option is C
Step-by-step explanation:
Substitute the y in the 1st equation with the 2nd equation.
7x + 10(2x + 9) = 36
7x + 20x + 90 = 36
27x + 90 = 36
3x + 10 = 4
3x = -6
x = -2
So now we can find y.
y = 2x + 9 = 2(-2) + 9 = (-4) + 9 = 5.
So x = -2, y = 5.
8:20 is the same as 2:5.
<h3>What is unitary method?</h3>
- The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.
- Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.
- Recognizing the units and values is crucial when using the unitary technique to a problem.
- Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.
acc to our question-
- = 12 + S
- S= (2/5)A
- S= (2/5)(12+S)
- 5S = 24 + 2S
- 3S = 24
- S = 24/3 = 8 = what Sam received
- A= 8+12 = 20 = what Audreyreceived
- 8:20 is the same as 2:5
- divide both 8 and 20 by 4 to get the 2 to 5 ratio.
hence,8:20 is the same as 2:5.
learn more about unitary method click here:
brainly.com/question/24587372
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12 I'm pretty sure but if not I'm sorry but I'm almost positive