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3 years ago

In a right triangle, the acute angles measure x + 15 and 2x degrees. What is the measure of the smallest angle of the triangle?

1 answer:

8 0

First, solve for each of the angles. Since it is a right triangle, one of the angles is 90 degrees. Knowing that the sum of the angles of a triangle are always equal to 180 degrees, you can write an equation for the triangle.

Angle1+ angle2+angle3=180.

Which means that 90+(x+15)+2x=180.

After finding the value of x, which is 25 in this case, solve for each angle.

X+15=25+15=40.

2x=25*2= 50

The value of the smallest angle is 40 degrees.

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Step-by-step explanation:

b/c 4/5*7/12

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then28/60

hope it's helpful

THANK YOU.

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3 years ago

John works a fortnightly wage of $750.00. If his basic week is 40 hours. what is his: Weekly wage basic rate and basic fortnight

Vladimir [108]

Answer:

Basic wage rate = $9.375 per hour

Step-by-step explanation:

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3 years ago

You and a friend are buying lemons and sugar for a lemonade stand. You spend $14.45 to buy lemons and your friend spends $8.85

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23.3

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3 years ago

Read 2 more answers

One angle of a triangle is 30° more than the smallest angle. The largest angle is the sum of the other angles. Find the measures

vladimir1956 [14]

Answer: $\boxed{30^{\circ}, 60^{\circ}, 90^{\circ}}$

Step-by-step explanation:

Let the smallest angle be x.

Then, the middle angle is x+30.

The largest angle is 2x+30.

Angles in a triangle add to 180 degrees, so:

$x+x+30+2x+30=180\\\\4x+60=180\\\\4x=120\\\\x=30$

So, the angles measure $\boxed{30^{\circ}, 60^{\circ}, 90^{\circ}}$

6 0

2 years ago