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AnnyKZ [126]
2 years ago
9

one of the angles of a triangle is 80 and other two angles are equal find the measure of each of the equal angles​

Mathematics
1 answer:
mina [271]2 years ago
7 0

Answer:

50°

Step-by-step explanation:

Let measure of one equal side be x.

80° +x +x = 180°[ sum of interior angle of triangle is 180°]

= 2x = 180° -80°

= x = 100°/2

=x = 50°

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I need help with Q9 c, I’ve done a and b if it helps, b=325 but I am just stuck on question 9C, I know the answer is 500N (as it
777dan777 [17]

Step-by-step explanation:

I know you've already done parts a and b, but I'll show the work for that before I do c.

Draw two free body diagrams, one for the car and one for the trailer.  The car pulls the trailer forward with a tension force T, so the trailer pulls backward on the car with an equal and opposite force T.

The car also has a 1200 N forward force from the engine, and a 200 N backwards force from resistance.

The trailer has a backwards resistance force of 100 N.

Sum of forces on the car:

∑F = ma

1200 − 200 − T = 900a

1000 − T = 900a

Sum of forces on the trailer:

∑F = ma

T − 100 = 300a

To solve the system of equations, first add the equations together.

1000 − 100 = 1200a

900 = 1200a

a = 0.75 m/s²

Plug back into either equation to find the tension force:

T = 325 N

Now for part c, draw new free body diagrams for the car and trailer.  This time, the car is pushing back on the trailer to slow it down.  So the trailer is pushing forward on the car with an equal and opposite force.  The magnitude of that tension force is given to be 100 N.

The car also has a backwards 200 N force from resistance, and a backwards brake force F.

The trailer has a backwards 100 N force from resistance.

Sum of forces on the car:

∑F = ma

100 − 200 − F = 900a

-100 − F = 900a

Sum of forces on the trailer:

∑F = ma

-100 − 100 = 300a

-200 = 300a

a = -⅔

Plugging into the first equation:

-100 − F = 900 (-⅔)

-100 − F = -600

F = 500 N

4 0
2 years ago
in each diagram below, line A is parallel to line B. in which diagram does the alternate interior angle postulate justify angle
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Answer:

Step-by-step explanation:

a

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A diver shines a flashlight upward from beneath the water at an angle of 46.5 degrees to the vertical.
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   =<span>sin<span>−1</span></span>(1.33×sin46.5)
   =74.7degrees</span>
7 0
3 years ago
1. Yolanda has a 30%-off coupon from her favorite clothing store. She wants to buy a coat that regularly costs $85.40 How much w
Anit [1.1K]

Answer:

59.78

Step-by-step explanation:

Lol I use the calculator and find the cost of 30 of 85.40 than the number of the percent is 25.62 so I subtract them both and got 59.78 as an answer hope this help

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Answer:

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Step-by-step explanation:

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