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bagirrra123 [75]
3 years ago
15

If PQRS is a rhombus, find m

Mathematics
1 answer:
egoroff_w [7]3 years ago
6 0

Answer:

m<PQR = 82°

Step-by-step explanation:

In a Rhombus, the diagonals bisect its angles. This means that they divide each the four angles into two equal parts.

Therefore:

(4x - 27)° = (2x + 7)°

Solve for x

4x - 27 = 2x + 7

Collect like terms

4x - 2x = 27 + 7

2x = 34

Divide both sides by 2

2x/2 = 34/2

x = 17

✔️m<PQR = (4x - 27) + (2x + 7)

Plug in the value of x

m<PQR = (4*17 - 27) + (2*17 + 7)

m<PQR = 41 + 41

m<PQR = 82°

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6. What is the tens' digit of the largest 4-digit even number which uses each of the digits 5, 7, 8, and 9 exactly once?
denpristay [2]

Answer:

B)

Step-by-step explanation:

8 is even number which uses each of the digits exactly once.

5 0
3 years ago
. Find their present ages. 6 years ago a man's age was six times the age of his son. 4 years hence, thrice his age will be equal
ddd [48]

<u>The present age of the man is 36 years and his son is 11 years.</u>

Answer:

Solution given:

let the age of man be x.

and his son be y.

By question

x-6=6(y-6)

x=6y-36+6

x=6y-30. ......(1)

and

3(x+4)=8(y+4)

3x+12=8y+32

3x=8y+32-12

3x=8y+20. ...(2)

substituting value of x in equation 2 ,we get

3(6y-30)=8y+20

18y-90=8y+20

18y-8y=90+20

10y=110

y=110/10

y=11 years

again substituting value of y in equation 1 we get

x=6*11-30

x=66-30

x=36 years

5 0
2 years ago
Help meeee plz I don’t get it
MatroZZZ [7]

Answer: F

Step-by-step explanation:

This is basically like 2 rectangles. Find the area of both and add them together.

Remember that the area is l x w.

Area of Rectangle 1: l = 7, w = 14

14 x 7 = 98cm^{2}

Area of Rectangle 2: l = 5, w = 14

14 x 5 = 70cm^{2}

Add the areas together: 98cm^{2} + 70cm^{2} = 168cm^{2}

6 0
3 years ago
I need help<br> please and thank you
REY [17]
I believe it’s
D.51is it B ??
7 0
3 years ago
Please help what does x equal?<br>thanks guys ​
loris [4]

Answer: 138°

Step-by-step explanation: since the line is crossing parallel lines the number opposite of your x is the same as 138°

8 0
3 years ago
Read 2 more answers
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