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Gennadij [26K]
2 years ago
15

In triangle PQR, the angles are in the ratio 2 : 3 : 4. Find all the angles (urgent)

Mathematics
1 answer:
zvonat [6]2 years ago
7 0

Answer:

40°, 60° and 80°

Step-by-step explanation:

sum the parts of the ratio, 2 + 3 + 4 = 9 parts

Divide 180° ( sum of angles in a triangle) by 9 to find the value of one part of the ratio.

180° ÷ 9 = 20° ← value of 1 part of the ratio , then

2 parts = 2 × 20° = 40°

3 parts = 3 × 20° = 60°

4 parts = 4 × 20° = 80°

The angles in the triangle are 40°, 60°, 80°

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3 years ago
\begin{aligned} &y=2x +1 \\\\ &x-y=-3 \end{aligned} ​ y=2x+1 x−y=−3 ​ Is (2,5)(2,5)left parenthesis, 2, comma, 5, right
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Answer:

Yes

Step-by-step explanation:

Given the system of equations

\begin{aligned} &y=2x +1 \\\\ &x-y=-3 \end{aligned}

We want to determine if (2,5) is a solution of the system.

We can do this by substitution of the given point into the equations and see if it holds.

Given (x,y)=(2,5), x=2, y=5

<u>In the first equation</u>

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Therefore, <u>the point (2,5) satisfies the first equation.</u>

<u>In the second equation</u>

x-y=2-5=-3

Since our result (-3) is equal to the Right Hand Side, <u>the point also satisfies the second equation.</u>

<u />

Therefore, (2,5) is a solution of the system.

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2 years ago
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Step-by-step explanation:

3 0
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