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nlexa [21]
3 years ago
15

In an acute scalene triangle, one angle is 20 degrees larger than another angle and the third angle is half the sum of the other

two angles. What is the measure, in degrees, of each of the three angles of the triangle?
Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0

Answer:

it could be 20 30 and 25

Step-by-step explanation:

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Say you're trying to figure out what percentage 3 is of 15.

3/15 = x/100

You would cross multiply so..

3(100) = 15x

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Therefore, 3 is 20% of 15.
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Light travels about 3 x 10^5 metres per second. Find the time it takes to travel 1 metre. Give your answer in standard form.
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Answer:

t=3.3*10^{-6}

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Pentagon RSTUV is circumscribed about a circle. What is the value of x if RS = 8, ST = 12, TU = 15, UV = 9, and VR = 12?
ivanzaharov [21]

Answer:

The value of x is 7 ⇒ 1st answer

Step-by-step explanation:

* Lets revise a fact in the circle

- The two tangents drawn from a point out side the circle are equal

∵ RSTUV is circumscribed about a circle

∴ Each side of the pentagon is a tangent to the circle

- Look to the attached figure to know how we will solve the problem

- Each tangent divided into two parts

# RS = x + y

∵ RS = 8

∴ x + y = 8 ⇒ (1)

# RV = x + n

∵ RV = 12

∴ x + n = 12 ⇒ (2)

- Subtract (2) from (1)

∴ y - n = -4 ⇒ (3)

# ST = y + z

∵ ST = 12

∴ y + z = 12 ⇒ (4)

# TU = z + m

∵ TU = 15

∴ z + m = 15 ⇒ (5)

- Subtract (5) from (4)

∴ y - m = -3 ⇒ (6)

# UV = m + n

∵ UV = 9

∴ m + n = 9 ⇒ (7)

- Add (6) and (7)

∴ y + n = 6 ⇒ (8)

- Lets solve equation (3) and equation (8) to find y

∵ y - n = -4 ⇒ (3)

∵ y + n = 6 ⇒ (8)

- Add (3) and (8)

∴ 2y = 2 ⇒ divide two sises by 2

∴ y = 1

- Lets substitute the value of y in equation (1)

∵ x + y = 8 ⇒ (1)

∵ y = 1

∴ x + 1 = 8 ⇒ subtract (1) from both sides

∴ x = 7

* The value of x is 7

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3 years ago
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