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3 years ago

Find the degree measure of each angle in the triangle.

Mathematics

1 answer:

Alex777 [14]3 years ago

4 0

Answer:

∠R = 56°
∠Q = 90°
∠S = 34°

Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

90°
(2x + 38)°
(5x - 11)°

Solving according to <u>angle sum property</u>,

Sum of all angles in a triangle is 180°

$\longrightarrow$ 90° + (2x + 38)° + (5x - 11)° = 180°

$\longrightarrow$ 117° + 7x = 180°

$\longrightarrow$ 7x = 180° - 117°

$\longrightarrow$ 7x = 63°

$\longrightarrow$ x = 9

Angles =

$\longrightarrow$ 2(9) + 38

$\longrightarrow$ 56°

$\longrightarrow$ 5(9) - 11

$\longrightarrow$ 34°

∠R = 56°
∠Q = 90°
∠S = 34°

The angles are 56°, 90° and 34°.

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How do you find the percent of a number?

Tom [10]

Answer:

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

How to Calculate Percentages

There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.

Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage:

Find P percent of X

Find what percent of X is Y

Find X if P percent of it is Y

Read on to learn more about how to figure percentages.

1. How to calculate percentage of a number. Use the percentage formula: P% * X = Y

Example: What is 10% of 150?

Convert the problem to an equation using the percentage formula: P% * X = Y

P is 10%, X is 150, so the equation is 10% * 150 = Y

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10

Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y

Do the math: 0.10 * 150 = 15

Y = 15

So 10% of 150 is 15

Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

2. How to find what percent of X is Y. Use the percentage formula: Y/X = P%

Example: What percent of 60 is 12?

Convert the problem to an equation using the percentage formula: Y/X = P%

X is 60, Y is 12, so the equation is 12/60 = P%

Do the math: 12/60 = 0.20

Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.

Converting 0.20 to a percent: 0.20 * 100 = 20%

So 20% of 60 is 12.

Double check your answer with the original question: What percent of 60 is 12? 12/60 = 0.20, and multiplying by 100 to get percentage, 0.20 * 100 = 20%

3. How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Example: 25 is 20% of what number?

Convert the problem to an equation using the percentage formula: Y/P% = X

Y is 25, P% is 20, so the equation is 25/20% = X

Convert the percentage to a decimal by dividing by 100.

Converting 20% to a decimal: 20/100 = 0.20

Substitute 0.20 for 20% in the equation: 25/0.20 = X

Do the math: 25/0.20 = X

X = 125

So 25 is 20% of 125

Double check your answer with the original question: 25 is 20% of what number? 25/0.20 = 125

Remember: How to convert a percentage to a decimal

Remove the percentage sign and divide by 100

15.6% = 15.6/100 = 0.156

Remember: How to convert a decimal to a percentage

Multiply by 100 and add a percentage sign

0.876 = 0.876 * 100 = 87.6%

(hope this helps can i plz have brainlist :D hehe)

4 0

3 years ago

Read 2 more answers

Which of the following are polynomial functions? Check all that apply.

arsen [322]

Answer: B, C, E

Step-by-step explanation:

8 0

4 years ago

I need help with these two trigonometry problems.

Ymorist [56]

Answer:

Step-by-step explanation:

For 5 we need to use sine law.

The thing about sine law is that we need to look at the triangle sides that are in front of the angles.

In this case: <B = 30°

the triangle side that is in front of this angle is AC which is 4 cm.

Then we got <C = 61°, and the triangle side in front of it is AB, which is what we need to find.

According to sine law:

$\frac{sin B}{AC} = \frac{sin C}{AB}$

$\frac{sin 30}{4} = \frac{sin 61}{AB}$

Notice that you need to be consistent. If you start writing that the angle is in the numerator, it needs to be in the numerator on the other side of the equation.

Solving it would give us:

(AB )(sin 30) = (sin 61)(4)

AB = 6.9969 cm

to the nearest tenth it's 7.0 cm

Question 6:

Wow it's pretty crowded, but they probably want us to use sine law as well. Let's write what we know:

<C = 12°

<B = 107°

AB = 21 yd

AC = ?

Apply it to the formula: sin(angle) / the triangle side in front of it.

$\frac{sin 12}{21} = \frac{sin 107}{AC}\\$

(sin 107)(21) = (sin 12)(AC)

AC = 96.59

to the nearest tenth AC = 96.6 yd

8 0

2 years ago

Triangle ABC is similar to triangle PQR , As shown below :

Rina8888 [55]

Answer:

Option C is correct

Step-by-step explanation:

In similar triangles corresponding sides are in same ratio.

Notice that sides b and q are corresponding ( they are opposite equal angles) and so are a and p

5 0

3 years ago

What is the equation of the line with (1,0) and (6,6)?

ch4aika [34]

Answer:

6x -5y = 6

Step-by-step explanation:

You can use the 2-point form of the equation of a line to find it.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (6-0)/(6-1)(x -1) +0

y = 6/5(x -1) . . . . . . point-slope form

y = (6/5)x -6/5 . . . . slope-intercept form

5y = 6x -6

6x -5y = 6 . . . . . . . standard form

7 0

3 years ago