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2 years ago

Using the Triangle Sum Theorem, find x and the missing angles (2x +1) (5x +5) x= Angle (2x+1) = Angle (5x+5) =

Mathematics

1 answer:

Arte-miy333 [17]2 years ago

4 0

Answer:

x = 12

(2x + 1)° = 25°

(5x + 5)° = 65°

Step-by-step explanation:

By the property of a triangle,

Sum of all angles of a triangle is 180°

In the given right triangle,

(2x + 1)° + 90° + (5x + 5)°= 180°

7x + 96 = 180

7x = 180 - 96

x = $\frac{84}{7}$

x = 12

Angle (2x + 1)° = 2(12) + 1 = 25°

Angle (5x + 5)° = 5(12) + 5 = 65°

Therefore, all three angles of the right triangle are 25°, 90° and 65°.

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2 years ago

Hardy has three times as many tennis balls as kerns. They have 940 tennis balls in all. How many tennis balls does Hardy have th

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Answer:

Hardy has 470 more tennis balls than Kerns.

Step-by-step explanation:

Given that:

Total number of tennis balls = 940

Let,

x represents the number of tennis balls Hardy has.

y represents the number of tennis balls Kerns has.

According to given statement,

x+y=940 Eqn 1

x = 3y Eqn 2

Putting x = 3y in Eqn 1

3y+y=940

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Dividing both sides by 4

$\frac{4y}{4}=\frac{940}{4}\\y=235$

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2 years ago

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3 years ago

Read 2 more answers

Using the Triangle Sum Theorem, find x and the missing angles (2x +1) (5x +5) x= Angle (2x+1) = Angle (5x+5) =​

Using the Triangle Sum Theorem, find x and the missing angles (2x +1) (5x +5) x= Angle (2x+1) = Angle (5x+5) =