Mathematics
01.10.2022 13:09
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Lisa s dog is 11 pounds heavier than marcia s dog. let m represent the weight of

Lisa's dog is 11 pounds heavier than marcia's dog. let m represent the weight of marcia's dog. write a variable expression to represent the weight of lisa's dog.
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Ksedro1998
Ksedro1998
4,6(80 marks)

M+11=L

Step-by-step explanation:

M= the weight of Marcia's dog. L equals the weight of Lisa's dog.

The weight of Marcia's dog plus 11 = the weight of Lisa's dog.

hamptonjeleesa
hamptonjeleesa
5,0(74 marks)

The measure of angle TRV is 130° ⇒ last answer

Step-by-step explanation:

* According to the attached graph

- Line TRW intersects line SRV at point R

- The measure of angle VRT is (2x + 10)°

- The measure of angle VRW is (x - 10)°

- We need to find measure of angle TRV

- From the attached figure

∵ T , R , W lie on the same line

∴ ∠TRW is a straight angle

- The measure of the straight angle is 180°

∴ m∠TRW = 180°

∵ ∠TRW contains ∠VRT and ∠VRW

∴ m∠VRT + m∠VRW = m∠TRW

∴ m∠VRT + m∠VRW = 180°

∵ m∠VRT = (2x + 10)°

∵ m∠VRW is (x - 10)°

∴ 2x + 10 + x - 10 = 180

- Add like terms

∴ 3x = 180

- Divide both sides by 3

∴ x = 60

∵ m∠TRV = (2x + 10)°

- Substitute x by 60

∴  m∠TRV = 2(60) + 10 = 120 + 10 = 130°

∴ The measure of angle TRV is 130°

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