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OverLord2011 [107]
3 years ago
8

∠1 and ∠2 are complementary angles. m∠1 is 5y+32 and m∠2 is 7y-14. Find m∠2 & show your work.

Mathematics
2 answers:
Ainat [17]3 years ago
7 0
  • m<1+m<2=90

\\ \sf\longmapsto 5y+32+7y-14=90

\\ \sf\longmapsto 12y+18=90

\\ \sf\longmapsto 12y=72

\\ \sf\longmapsto y=6

  • m<2=7(6)-14=42-14=28[/tex]
bazaltina [42]3 years ago
7 0

5y+32 - (1)

7y+14 - (2)

now find the value

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a helicopter is flying at 150mph on a course with a bearing of 130°. If the helicopter experiences a crosswind blowing southeast
romanna [79]

150-25=125mph

130-25=105

This means it was going 125mph and that it dropped an altitude of 25 degrees because of the wind and the slow down of the helicopter

3 0
4 years ago
!SUBSTITUTION METHOD!<br><br>6y - 5z = -8 <br>3z = -6 <br>4x - 3y - 2z= 21​
hichkok12 [17]

Answer:

<h2>x = 2 </h2><h2>y = - 3</h2><h2>z = - 2</h2>

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

<u>First solve for z in Equation 2</u>

That's

3z = - 6

Divide both sides by 3

<h3>z = - 2</h3>

Next substitute the value of z into Equation 1 in order to find y

We have

6y - 5(-2) = - 8

6y + 10 = - 8

6y = - 8 - 10

6y = - 18

Divide both sides by 6

<h3>y = - 3</h3>

Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

4x + 9 + 4 = 21

4x + 13 = 21

4x = 21 - 13

4x = 8

Divide both sides by 4

<h3>x = 2</h3>

So the solutions are

<h3>x = 2 </h3><h3>y = - 3</h3><h3>z = - 2</h3>

Hope this helps you

3 0
3 years ago
A hose fills a hot tub at a rate of 3.74 gallons per minute. How many hours will it take to fill a 289- gallon hot tub?
Inessa05 [86]
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6 0
3 years ago
Solve the inequality below<br> -8x + 4 &gt; 20<br> Include x and number in answer
Genrish500 [490]

Answer:

x<-2

Step-by-step explanation:

You first subtract 4 from both sides. Then you divide both sides by -8 (note: when you multiply or divide by a negative the sign flips. Then you get your answer

7 0
3 years ago
1. Convert 60° to radians.
hram777 [196]

Answer:

60° = \frac{\pi }{3} radians

Step-by-step explanation:

To convert from degrees to radians

radian measure = degree measure × \frac{\pi }{180}

Thus 60° in radian measure

= 60 × \frac{\pi }{180} ( divide ( cancel) 60 and 180 by 60 )

= \frac{\pi }{3}

5 0
3 years ago
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