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Sphinxa [80]
2 years ago
8

Geometry help, please.

Mathematics
1 answer:
egoroff_w [7]2 years ago
3 0

Answer:

  80°

Step-by-step explanation:

The sum of the marked angles is 145°, so we have ...

  (4x+5)° +(6x -10)° = 145°

  10x -5 = 145 . . . . . . . . . . divide by °, simplify

  10x = 150 . . . . . . . . add 5

  x = 15 . . . . . . . . divide by 10

Then the measure of angle XMN is ..

  angle XMN = (6x -10)° = (6(15) -10)° = 80°

______

<em>Check</em>

angle ZMX = (4(15)+5)° = 65°

and 65° +80° = 145° . . . . as required

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Express the following complex numbers in rectangular form. Show how you get the answer and use a calculator to verify your answe
Bad White [126]

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the question is incomplete, below is the complete question

"ress the following complex numbers in rectangular form. Show how you get the answer and use a calculator to verify your answer. E.g. 2 pts for 2∠30°=2(cos30°+jsin30°)=1.73+j, 1 pt for 2∠30°=1.73+j. Same grading criteria as 1.4. (a) Z1=5eⁱ³⁰ (b) z2=−3 ∠(−45°) (c) z3=2∠(−90°)

answer

a.Z1=4.33+j2.5

b. Z2=-2.12+j2.12

c.Z3=-2j

Step-by-step explanation

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Z=reⁱⁿ=r(cosπ+jsinπ)

hence from Z1=5eⁱ³⁰ wen have

Z1=5(cos30+jsin30)

Z1=5(0.8660+j0.5)

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b.also from z=r∠(π)=r(cosπ+jsinπ)

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z2=−3 ∠(−45°)=-3(cos(-45)+jsin(-45))

Z2=-3(0.7071-j0.7071)

Z2=-2.12+j2.12

c. z3=2∠(−90°)=2(cos(-90)+jsin(-90))

Z3=2(0-j)

Z3=-2j

4 0
4 years ago
Is this right I am not sure. If not, please explain what the right answer is.
blsea [12.9K]
Yeah that answer is right.
3 0
4 years ago
Read 2 more answers
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