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Degger [83]
2 years ago
7

HELP PLS!!!!!!!! ASAP

Mathematics
1 answer:
Naddik [55]2 years ago
7 0

ΔAOP ≅ ΔBOQ by AAS theorem. Therefore, AO ≅ BO and PO ≅ OQ by CPCTC.

<h3>What is the Angle-Angle-Side Congruence Theorem (AAS)?</h3>

The angle-angle-side congruence theorem states that if two consecutive angles and a non-included side of a triangle are congruent to two consecutive angles and a corresponding non-included side of another triangle, both triangles are considered congruent to each other.

<h3>What is the CPCTC Theorem?</h3>

The CPCTC theorem says that if two triangles are proven to be congruent triangles, then all their corresponding parts would also be congruent to each other.

Thus:

Angle A ≅ Angle B [given]

AP ≅ BQ [given]

Angle AOP ≅ angle BOQ [vertical angles theorem]

ΔAOP ≅ ΔBOQ [AAS theorem]

AO ≅ BO and PO ≅ OQ [CPCTC]

Learn more about the AAS theorem on:

brainly.com/question/4460411

#SPJ1

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What is the mean median and mode for 50, 55,42,38,163,55,61​
Likurg_2 [28]

Answer:

Mean: 67.7 (rounded to the nearest tenth)

Median: 52.2

Mode: 55

Step-by-step explanation:

To find the the mean is to take all the numbers, all them together and divide by how many numbers there is. 50+55+42+38+163+55+61= 564 then divided by 6 is 67.7

to find the median is to put all the numbers in order, (I prefer to go increasing order) and then find the middle number. If there is no  middle number you take the two numbers around it and subtract them from one n another.

Mode is to find the most common number. Whichever number repeats itself

Hope I helped!

3 0
4 years ago
Easy points :) <br> 2*2*2+2-1
kipiarov [429]

Answer:

9

Step-by-step explanation:

2*2=4*2=8+2=10-1=9

7 0
3 years ago
What product is positive ?​
s344n2d4d5 [400]
<h3>Answer: Choice D</h3>

=======================================================

Explanation:

The long way to do this is to multiply all the fractions out by hand, or use a calculator to make shorter work of this.

The shortest way is to simply count how many negative signs each expression has.

The rule is: if there are an even number of negative signs, then the product will be positive. Otherwise, the product is negative.

For choice A, we have 3 negative signs. The result (whatever number it is) is negative. Choice B is a similar story. Choice C is also negative because we have 1 negative sign. Choices A through C have an odd number of negative signs.

Only choice D has an even number of negative signs. The two negatives multiply to cancel to a positive. The negative is like undoing the positive. So two negatives just undo each other. This is why the multiplied version of choice D will be some positive number.

Or you can think of it as opposites. If you are looking up (positive direction) and say "do the opposite" then you must look down (negative direction). Then if you say "do the opposite", then you must look back up in the positive direction.

5 0
3 years ago
Terry is buying water. He needs 22 liters. A half-liter of water costs $2.11. A 200 -milliliter container of water costs $1.01.
Dvinal [7]

Answer: Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.

Step-by-step explanation:

Terry is buying water and needs 22 liters. A half-liter of water costs $2.11. Using this information, 22 litres will cost:

= 22 ÷ 1/2 × 2.11

= 22 × 2 × 2.11

= $92.84

Also, A 200 -milliliter container of water costs $1.01. Using this information, 22 litres will cost:

= 22 × 1.01 ÷ 200/1000

= 22 × 1.01 × 1000/200

= 22 × 1.01 × 5

= $111.1

Based on this information, Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.

3 0
3 years ago
Use De Moivre’s Theorem to compute the following: <img src="https://tex.z-dn.net/?f=%5B3%28cos27%2Bisin27%29%7D%5E5" id="TexForm
zhannawk [14.2K]
Hello: 
<span>Use De Moivre’s Theorem : 
</span>(3(cos27 +isin27)^5 = 3^5( cos(27 × 5) +isin(27 × 5))
                                = 3^5 ( cos(135)+i sin(135))
                                = 3^5(-√2/2+i √2/2) 
because :  cos(135) = -√2/2    and   sin(135) = √2/2
(3(cos27 +isin27)^5 = (- 3^5√2/2)+ i ( 3^5√2/2)  ...(form : a+ib  when
a= (- 3^5√2/2)  and  b = ( 3^5√2/2)
4 0
4 years ago
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