Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9, the length of T Q is 16, and the length of R Q is x.
What is the value of x?

12 units
15 units
20 units
24 units

Answers

Answer 1

Answer:

the actual answer is 20 units

Step-by-step explanation:

Answer 2

The value of x which is equal to length RQ is 20 units.

The given parameters;

Length of ST = 9 Length of TQ = 16Length of RQ = x

From the given triangle we can apply similar triangle property as follows;

[tex]\frac{base \ of \ triangle \ SRQ}{hypotenuse \ of \ triangle \ SRQ} = \frac{base \ of \ triangle \ RTQ}{hypotenuse \ of \ triangle \ RTQ} \\\\\frac{RQ}{SQ} = \frac{TQ}{RQ} \\\\\frac{x}{(9 + 16)} = \frac{16}{x} \\\\x^2 = 25 \times 16\\\\x = \sqrt{25 \times 16} \\\\x = 5 \times 4\\\\x = 20 \ units[/tex]

Thus, the value of x which is equal to length RQ is 20 units.

Learn more about similar triangles here: https://brainly.com/question/11899908


Related Questions

Help-
my tiny brain can’t figure this out

Answers

Answer:

3 1/2 is the closest

Step-by-step explanation:

Theres 3 that are full and 2/5

Answer:

its 3 1/2 or c

Step-by-step explanation:

Name all the subsets of the real numbers that 3 belongs to
O Rational, Whole
OInteger, Natural, Whole
O Irrational, Whole
O Rational, Integer

Answers

Answer:

Integer, Natural, Whole

Step-by-step explanation:

your to nice (:

which of the following numbers is NOT a solution of the equation |x + 5| = x + 5?
-10
5
-5
0

Answers

Answer:

-10 is not a solution to the equation

Step-by-step explanation:

I don't really have an explanation

Choose Yes or No to tell if the fraction
5
8
will make each equation true.

8
15



=

3
7

Choose...





5
16

=
5
8

Choose...

7
8

1
2
=



Choose...

3
4

1
8
=



Choose...

Answers

No,  5/8 cannot make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex] to be true

The given fractional equation is:

[tex]\frac{8}{15}-x=\frac{3}{7}[/tex]

To calculate the fraction that will make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex], solve for x in the given equation:

[tex]\frac{8}{15}-x=\frac{3}{7}[/tex]

Collect like terms

[tex]x=\frac{8}{15}-\frac{3}{7}[/tex]

Simplify the resulting fraction as follows:

[tex]x=\frac{56-45}{105} \\\\x=\frac{11}{105}[/tex]

Therefore, the missing fraction that will make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex] true is 11/05

We can conclude that 5/8 cannot make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex] to be true

Learn more here on fractional equations here: https://brainly.com/question/3382177

Since [tex]\frac{5}{8} \neq\frac{11}{105}[/tex], hence [tex]\frac{5}{8}[/tex] will not make the equation true.

Equations and expression

Given the equation

[tex]\frac{8}{15}-a=\frac{3}{7}[/tex]

a is the fraction that will make the equation to be equal

Subtract [tex]\frac{8}{15}[/tex] from both sides;

[tex]\frac{8}{15}-a-\frac{8}{15} =\frac{3}{7}-\frac{8}{15}\\-a= \frac{3}{7}-\frac{8}{15}\\-a=\frac{3(15)-7(8)}{105} \\-a=\frac{45-56}{105}\\-a=\frac{-11}{105}[/tex]

Multiply both sides by a negative sign to have:

[tex]-(-a)=-(-\frac{11}{105} )\\a=\frac{11}{105}[/tex]

Since [tex]\frac{5}{8} \neq\frac{11}{105}[/tex], hence [tex]\frac{5}{8}[/tex] will not make the equation true.

Learn more on equation here: https://brainly.com/question/2972832

Answer please BEN......

Answers

Answer:

[tex]12x\leq 24[/tex]; [tex]x\leq 2[/tex]

Step-by-step explanation:

So you have 12 math problems that each take x amount of minutes, and have 24 minutes to finish them. Remember, you can't exceed the 24 minutes (but you are allowed to equal that time). So:

[tex]12x\leq 24[/tex]

Then you can simplify by dividing both sides by 2:

[tex]x\leq 2[/tex]

9 + 2y = 2 - 3y

3 - 11x = 9 + 5x

4 - 7m = 12 - 3m

12 - (-9v) = 8 - 4v

Answers

Answer:

Multiple answers (image of work & answers below)

Step-by-step explanation:

Explain how to recognize when a system of equations has no solution.

Answers

Answer:

A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

Step-by-step explanation:

Answer:

Compare the slopes and y-intercepts of the two equations by putting them in slope-intercept form. If the slopes are equal, but the y-intercepts are different, then the lines are parallel and have no solution because they do not intersect at any point.

Step-by-step explanation:

Thats the sample answer on edge :)

9,18,36,... Find the 6th term.

Answers

Answer:

576

Step-by-step explanation:

9, 18, 36, 72, 144, 288
288

1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
1a
First solve for x.
Enter your next step here
Skip step
Atilla Tektas - Unit...pdf

Answers

Answer:

2x + 7= 4x + 17

7=2x+17

-10=2x

-10/2=2x/2

x=−5

2×2×9×7×9
[tex]2 { }^{2} + 2 \times {2}^{2} [/tex]

Answers

Answer:

1. 2268.

2. 12.

Step-by-step explanation:

1. Given the mathematical expression; 2 * 2 * 9 * 7 * 9

We would simplify the expression;

2 * 2 * 9 * 7 * 9 = 4 * 81 * 7

2 * 2 * 9 * 7 * 9 = 28 * 81

2 * 2 * 9 * 7 * 9 = 2268

2. Given the mathematical expression; 2² + 2 * 2²

From BODMAS (Bracket Of Division Multiplication Addition Substraction), we would first of all multiply before performing an addition operation.

Therefore,

2² + 2 * 2² = 4 + 2 * 4  

2² + 2 * 2² = 4 + 8

2² + 2 * 2² = 12

Answer:

1. 2268 2. 12

Step-by-step explanation:

How many people work in the factory? When- 800 people live in the town. 15 out of every 50 adults work in the factory. The town has 200 children aged 17 or younger. 18 is considered the age for being called an adult. Children under 18 may not work in the factory.

Answers

Answer: 180 people

Step-by-step explanation:

Number if people living in the town = 800

Children aged 17 or younger = 200

Adults of 18 and above = 800 - 200 = 600

Since 15 out of every 50 adults work in the factory, the number of people that work in the factory will be:

= 15/50 × 600

= 180 people

Find the value of x

Answers

Step-by-step explanation:

By Exterior Angle Theorem, the sum of the 2 inner angles of the triangle is equal to the exterior angle by a straight line.

Therefore we have x + 72° = 90° + 34°.

=> x + 72° = 124°, x = 52°.

Hence the value of x is 52°.

The value of x would be 52 degrees

Hope this helps

Have a great day/night

Please help-
Tell which postulate, if any, make the triangles congruent

Answers

Answer:

the answer is SAS

side angle side

PLS HELP

Solve each equation. Write each equation in simplest form.

x/5=-2

A -45
B 35
C -10
D 21

Answers

9514 1404 393

Answer:

  C  -10

Step-by-step explanation:

Multiply each side of the equation by 5.

  5(x/5) = 5(-2)

  x = -10 . . . . matches choice C

Expand 3(c+7) I need this answer quick!

Answers

Answer:

Y = 3(c+7)

Hope this helps!

Meldrick had $28 in his savings account. On Monday, he deposited his earnings from mowing lawns on the weekend. He earned the same amount the next weekend but deposited only 40% of those earnings. After making the two deposits, he had $70 in his account. How much did he earn in one weekend?

Answers

Answer:

70 - 28 = 42

42/100 X 40 = 16.8

42 - 16.8 = 25.20

What's 9 in index form

Answers

3(2) (3) on top. Because 3x3 is 9

Answer:

Step-by-step explanation:

best buys sells laptops for $422. If the sales tax is 5.5% what is the sales tax of the laptop?

**Write the decimal (this is money, so to the hundredths place

Answers

Answer:

$445.21

Step-by-step explanation:

Multiply 422 by .55. Add the answer of 422 times .55 to 422.

How does hiphop use energy as a element of dance PLEASE ANSWER

Answers

Answer:

Energy can happen with movement. Dance requires a bunch of movement.

dancing is the use of force, tension, and weight.

Wade Boggs played professional baseball for three different teams in 18 years. The table shows his total number of hits for each team. Table showing the Red Sox had 2,098 hits, Yankees had 702 hits, and Devil Rays had 210 hits. Suppose he made the same number of hits each of the 18 years. If t = total number of hits and a = number of hits per year, which two equations can be used to determine the number of hits he made each year? Drag these equations into the box. t = 2,098 – 702 – 210. t = 2,098 + 702 + 210. t = 2,098 ÷ (702 + 210).a = 18 × t. a = 18 ÷ t a = t ÷ 18

Answers

Answer:

answer 2

Step-by-step explanation:

none

Answer:

2

Step-by-step explanation:

none

can someone help on these two thanks

Answers

Answer:

C & D

Step-by-step explanation:

For the first one, all you have to do is count how many numbers are behind the decimal point and add them together (1 + 3 = 4)  and then you count up the decimal 4 places which would be 0.7416.

For the second one, you divide the days by miles (18/3=6) then you divide the 6 by 72 which would be 12.

Hope this helps!

9) Josie had $89 in her bank account. She recently got a job and is able to save $107 each
paycheck. To represent the situation a student wrote the equation y = 89x + 107. What is
wrong with the students equation? Describe the error and correct it.

Answers

Answer: the x should be next to the 107 instead of the 89

Step-by-step explanation:

It should be 107x+89 as 89 is the independent variable just as shown in the text and only 107 is the dependent variable which depends on the number of month so x represent the month should be nest to 107

help me pls HELPPP pls pls OLEASE

Answers

Answer:

It is a acute triangle

Step-by-step explanation:

I NEED HELP ASAP
Write the slope-intercept form of the equation with the given characteristics: Slope: 3/2 Point: (-4,7)​

Answers

Answer:

[tex]y = \frac{3}{2} x + 13[/tex]

Step-by-step explanation:

1) Use point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the slope-intercept form (or y = mx + b form) of the equation. m represents the slope, and [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. So, substitute [tex]\frac{3}{2}[/tex] for m, -4 for [tex]x_1[/tex], and 7 for [tex]y_1[/tex]. Then, simplify and isolate y on the left side like so:

[tex]y-(7) = \frac{3}{2} (x - (-4)) \\y -7 = \frac{3}{2} (x + 4) \\y - 7 = \frac{3}{2} x + 6\\y = \frac{3}{2} x + 13[/tex]

Help pls. HJ is an altitude of triangle FGH. M

Answers

I believe it would be 12. If im wrong im sorry.

Which expression has a coefficient of 7?




12(4+x7)


7x2−13


3x+74


8+3x7

Answers

Answer: I think its 12(4+x7) don’t trust me though

A snail moves at the rate of 1/8 inch per minute. How many minutes does it take the snail to move 1 1/3 inches?

Answers

Answer:

It should be 10 2/3 minutes

Step-by-step explanation:

You divide 1 1/3 by 1/8 and you get 10 2/3 minutes. So it takes the snail 10 2/3 or 10.66 minutes to move 1 1/3 inches

Hi! during this pandemic it's kind of hard to learn math over the screen. no one is willing to help since my teachers are busy and my mom is confused. I Don't have friends to go to who could help me..So i'm hoping someone here could help! ...!!i cropped it so you could see better..Thanks!

Answers

Answer:

a) c=33.5

I'll try my best to explain and help you out here! online school sucks, I hope you get the hang of it soon!

Step-by-step explanation:

Simplify both sides of the equation.

c(5)=(35.5)(5)−10

5c=177.5+−10

5c=(177.5 + −10) (Combine Like Terms)

5c=167.5

Divide both sides by 5.

5c/5 = 167.5/5

c=33.5

I'm not entirely sure about the second question but I'll try to figure it out and let you know!


A full glass of water can hold a bottle.
How many glasses of water can be filled with 3 and 1/2 bottles of water?

Answers

It can fill 21 glasses of water
Explanation: 1 glass holds 1/6 of a bottle then 6 glasses hold 1 glass bottle water. then 3(12)or72 bottle can give 6⋅72 glasses of water , that is 21 glasses.

Hi another math question please help:)

Answers

Answer:

1). Yes

2). Yes

3). No

Step-by-step explanation:

1). y = 3

  We can rewrite this equation in the slope-intercept form as,

   y = 0.x + 3

  Here, slope = 0

  y-intercept = 3

  Therefore, it's a linear relation.

  YES.

2). 2x - 5y = 10

   5y = 2x - 10

   y = [tex]\frac{2}{5}x-2[/tex]

   Therefor, it's a linear function.

   YES

3). y = x(x + 3)

   y =x² + 3x

   Since, this equation is a quadratic equation,

   It's not a linear function.

   NO

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