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KATRIN_1 [288]
2 years ago
5

Given PQ = 24

Mathematics
1 answer:
Verdich [7]2 years ago
7 0

The shape PQRS is a parallelogram

  • The measure of angle QRS is 70 degrees
  • The measure of angle PQS is 53 degrees
  • The measure of angle RPS is 35 degrees
  • The measure of angle PSQ is 53 degrees

The given parameters are:

\mathbf{\angle PQR = 106}

\mathbf{\angle QSR = 49}

\mathbf{\angle PRS = 35}

<u>(a) Find QRS</u>

This is calculated as:

\mathbf{\angle QRS = 2 \times \angle PRS }

So, we have:

\mathbf{\angle QRS = 2 \times 35}

\mathbf{\angle QRS = 70}

Hence, the measure of angle QRS is 70 degrees

<u>(b) Find PQS</u>

This is calculated as:

\mathbf{\angle PQS = \frac 12 \times \angle PQR }

So, we have:

\mathbf{\angle PQS = \frac 12 \times 106}

\mathbf{\angle PQS = 53}

Hence, the measure of angle PQS is 53 degrees

<u>(c) Find RPS</u>

This is calculated as:

\mathbf{\angle RPS = \angle PRQ }

Where:

\mathbf{\angle PRQ  = \angle PRS = 35}

So, we have:

\mathbf{\angle RPS  = 35}

Hence, the measure of angle RPS is 35 degrees

<u>(d) Find PSQ</u>

This is calculated as:

\mathbf{\angle PSQ =\frac 12 \times \angle PQR }

Where:

\mathbf{\angle PSQ =\frac 12 \times \angle 106}

So, we have:

\mathbf{\angle PSQ =53}

Hence, the measure of angle PSQ is 53 degrees

Read more about angles in a parallelogram at:

brainly.com/question/12186483

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sladkih [1.3K]

The <em><u>correct answers</u></em> are:

B=(xy + x)(xy + x) ; C=(2x – 3)(–3 + 2x) ; and E=(4y² + 25)(25 + 4y²)

Explanation:

In order to have a perfect square trinomial, we must multiply two binomials that are exactly the same.  For (xy+x)(xy+x), are multiplying two identical binomials.

For (2x-3)(-3+2x), we are multiplying two binomials that are the same but written in a different order.  The same is true of (4y² + 25)(25 + 4y²).

3 0
3 years ago
Read 2 more answers
Bir araç 5 saatte 80km yol almaktadır. Buna göre bu aracın hızı kaç m/dk'dır?
8090 [49]
80 km = 80000 m
5 saatte = 300 dk’dir
80000m/300 dk’dir = 266.666667 m/dk’dir
(Yazım yanlışsa kusura bakmayın türkçe bilmiyorum :) )
6 0
2 years ago
Check my proof? Two diagonals of a parallelogram bisect each other?
SIZIF [17.4K]
Your proof is correct and very well done
6 0
3 years ago
Ann:my number has two periods.one contains the digits 4,1,and 8 in that order.the other contains the digit 9.
GarryVolchara [31]

The Decimal number system has following rules.

Suppose you have to write a number 4,567,892 .

2 -ones - (first period)

9-tens - (first period)

8-hundreds - (first period)

7-thousands  - (second period)

6-ten thousand- (second period)

5-hundred thousand- (second period)

4-million- (third period)

then comes ten million,hundred million and then Billion.

If a number is given you have to apply commas from left to right after every three places.

So, your number is 9,418.

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Answer:

The first one luv

Step-by-step explanation:

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