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Svetach [21]
3 years ago
13

ΔABC is rotated 100° counterclockwise about point P to create ΔA′B′C′. What is m∠C'A'B' ?

Mathematics
2 answers:
grin007 [14]3 years ago
5 0
Base on my calculation and also by the sue of the data you give where as the  triangle ABC is rotated by 100 counter clockwise about point P to create triangle A'B'C' the possible value of angle C'A'B is 70 degrees. I hope you are satisfied with my answer and feel free to ask for more 
Elanso [62]3 years ago
3 0
I believe the answer is 70! :) hope it's right!
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Find the area of the shaded region. Round to the nearest hundredth where necessary (2 decimal places
suter [353]

Answer:

117 in²

<u>Finding the area of the trapezoid:</u>

First, we need to find the area of the trapezoid formed by the dotted lines. The formula for finding the area of the trapezoid is "(a₁ + a₂)h/2".

[Where, a₁ = shorter parallel side; a₂ = longer parallel side]

⇒ (a₁ + a₂)h/2 = Area of trapezoid

⇒ (14 + 26)15/2 = Area of trapezoid

⇒ Area of trapezoid = (40)15/2 = (20)15 = 300 in²

<u>Reviewing on how to find the area of the unshaded region:</u>

To find the area of the shaded region, we need to subtract the area of the unshaded region from the area of the trapezoid. In this case, the unshaded region is a triangle whose base is 26 inches. To find the area of the triangle, we need to use the formula 1/2 x Base x Height. We are given the base, but the height is unknown.

<u>Determining the height:</u>

We are given a small side length "6 inches" and the height of the trapezoid "15 inches". If we subtract the small side length from the height of the trapezoid, we will obtain the height of the triangle.

⇒ Height of trapezoid - Small side length = Height of triangle

⇒ 15 - 6 = Height of triangle

⇒ 9 in = Height of triangle

<u>Determining the area of the unshaded region:</u>

Now, let's substitute the base and the height in the formula to find the area of the triangle

⇒ 1/2 x Base x Height

⇒ 1/2 x 26 x 9

⇒ 13 x 9

⇒ 117 in²

<u>Determining the area of the shaded region:</u>

Finally, let's subtract the area of the unshaded region from the area of the trapezoid to obtain the area of the shaded region.

⇒ Area of trapezoid - Area of unshaded region = Area of shaded region

⇒ 300 - 117 = Area of shaded region

⇒ 183 in² = Area of shaded region

5 0
1 year ago
Victor played 23 games of basketball with his friends.if victor scored 56 points each games,how many points did he score total?
algol [13]
23x56=1228 It’s basic multiplication
5 0
3 years ago
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Which expression is not equivalent to 216?
Andre45 [30]
C
8x6= 48
48x48= 2,304
6 0
2 years ago
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There are 125 people and three door prizes. How many ways can three door prizes of $50 each be distributed? How many ways can do
UkoKoshka [18]

We have been given that there are 125 people and three door prizes.

In the first part we need to figure out how many ways can three door prizes of $50 each be distributed?

Since there are total 125 people and there are three identical door prices, therefore, we need to use combinations for this part.

Hence, the required number of ways are:

_{3}^{125}\textrm{C}=\frac{125!}{122!3!}=\frac{125*124*123}{1*2*3}=317750

In the next part, we need to figure out how many ways can door prizes of $5,000, $500 and $50 be distributed?

Since we have total 125 people and there are three prices of different values, therefore, the required number of ways can be figured out by using permutations.

_{3}^{125}\textrm{P}=\frac{125!}{122!}=125*124*123=1906500


3 0
3 years ago
Need help with finding the area of this figure
Zigmanuir [339]
88 is your answer 100% sure.


Please mark as brainliest- I am almost at level "Ace" :)
3 0
3 years ago
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