Mathematics High School

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

For the graph on the right, find the Average Rate of Change from 7 to 60 minutes?

Answers

Answer:

The average rate of change from 7 to 60 minutes is 0.36 miles per minute.

Step-by-step explanation:

at x₁ = 7, f(x₁) = 8

at x₂ = 60, f(x₂) = 27

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

= [27 - 8] / [60-7]

= 19 / 53

= 0.36

Therefore, the average rate of change from 7 to 60 minutes is 0.36 miles per minute.

Alan buys a basket of apples on sale for $7 before tax. The sales tax is 12.5%. What is the
total cost for the basket of apples?

Answers

7.87 is what i got :) good luck!!

BRAINLIEST!URGENT! Please help if you can. If you know the answer, please leave an explanation and I will mark you brainliest!

Answers

The vertex form of a quadratic equation is y = n(x − h)2 + k, where (h, k) gives the coordinates of the vertex of the parabola in the xy-plane and the sign of the constant n determines whether the parabola opens upward or downward.

If n is negative, the parabola opens downward and the vertex is the maximum.

The given equation has the values h = 3, k = a, and n = −1.

Therefore, the vertex of the parabola is (3, a) and the parabola opens downward.

Thus, the parabola’s maximum occurs at (3, a)

Ans D

can I get help with this

Answers

Answer:

$3,600

Step-by-step explanation:

To find the total amount we can state that $270 divided by 0.075 can find us the total amount of office receipts.

Doing so, we get: $270 over 0.075 = $3,600

6x-2y=156.......(1)
X - y=18.........(2)
(1)-2×(2 )
How will you go about it

Answers

Plug in equation 1 and 2 into the formula: 156-2*18=

Answer:

Step-by-step explanation:

(1) 6x-2y=156

2×(2) ; 2(x-y=18)

;2x-2y=36

from (1)-2×(2)

is 6x-2y=156 -

2x-2y=36

4x=120

x=30

from (2)

x-y=18

x-18=y

y=30-18

y=12

Nolan bought 3 postcards while on vacation for 1 week how many weeks will Nolan have to spend on vacation to buy 15 postcards if he buys them at that rate

Answers

Answer: 5 weeks

Step-by-step explanation:

In the 1 week he was on vacation, Nolan was able to buy 3 postcards.

The rate he is buying postcards is therefore 3 per week.

If he needed to buy 15, he would need to be there for:

= 15 postcards/ 3 postcards a week

= 5 weeks

need to know soon! please help

Answers

Answer:

Step-by-step explanation:

62+59= 121

180-121= 59

Answer:

m<1 = 121

Step-by-step explanation:

59 + 62 = 121

180 - 121 = 59

180 - 59 = 121

I need the answer plz so I dont fail

Answers

Answer:

Whats the problem? it wont show for me...

Step-by-step explanation:

i will awnser, just gotta give me the problem

Aiden cuts a ball of string into 14 equal pieces. The length of each piece of string is 2 1/4 yards. What is the original length of the ball of string?

Answers

Answer:

31 1/2 yards

Step-by-step explanation:

In order to calculate the original length of the ball of string we simply need to multiply the length of each piece of string by the total number of strings that were produced from the original ball of string. First, we can turn the 2 1/4 into a single decimal number. Since 1/4 is equal to 0.25 we just add this to 2 to get 2.25, now we can go ahead and multiply this by the 14 total pieces.

2.25 * 14 = 31.5 or 31 1/2 yards

For the equation 2x + 7 =30, x = 3
O True
O False

Answers

The answer is false
Have a good day <3

Answer: False

=============================================================

Explanation:

To see if the x value is a solution or not, we plug it into the equation given

2x+7 = 30 .... original equation

2*3 + 7 = 30 .... replace every x with 3, since we claim that x = 3

6 + 7 = 30 .... multiply 2 and 3 to get 6

13 = 30 ...... add 6 and 7 to get 13

We get two different numbers on either side, so the last equation is not true. We get a contradiction or false statement. So the original equation is false when x = 3. Therefore, x = 3 is not the solution.

That's why the overall claim is false.

Give the domain and range of the relation th
1. {(-3, 3), (1, 1), (0, -2), (1, -4), (5, -1)}
Domain:
Range:
Function?
What is it

Answers

Answer: the domain is -3. 1, 0, 1, and 5 and range is, 3. 1, -2, -4, and-1 I dont know the function but I hope this helped

Step-by-step explanation:

solve for y
equation : y=mx+b

Answers

Answer:

? i need numbers

Step-by-step explanation:

When filling in numbers to this equation. Y would be equal to the y-intercept. The y-intercept is the part of the line that crosses over the y line on a coordinate plane. Hope this helps and please mark brainliest!

An equiangular triangle has one angle of measure 2x+8. What is x?

Answers

Answer:

[tex]x=26\\[/tex]

Step-by-step explanation:

The sum of the interior angles of a triangle add up to [tex]180^{\circ}[/tex]. Therefore, an equiangular triangle will have each of its angles equal to [tex]60^{\circ}}[/tex]. We can then set up the following equation:

[tex]2x+8=60, \\2x=52, \\x=\fbox{$26$}[/tex].

Answer: x=10

Step-by-step explanation:

tell me how to answer this please I WILL MARK BRAINLIEST

Answers

Answer:

It equals 3

Step-by-step explanation:

To solve this it is basically like a normal problem you would just take out the X in it and divide 7 by 21 which leaves you with 3.

What is the slope of a line parallel to the line whose equation is x+2y=2

Answers

Step-by-step explanation:

Parallel lines have the same slope.

[tex]x + 2y = 2 \\ 2y = x - 2 \\ y = 0.5x - 1[/tex]

[tex]y = mx + b \\ m \: is \: the \: slope \: so \: te \: slope \: is \: \frac{1}{2} [/tex]

Solving a Real-World Problem
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
x + y = 29, 5x + 2y = 100
x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
2x + y = 100, 5y + x = 29

Answers

Answer:

x + y = 29

5x + 2y = 100

Step-by-step explanation:

Here, we want to set up equations

There are 29 problems, so adding up the number of individual problem types will give 29

x + y = 29 ••••••(i)

Let us work with points now;

x is worth 5 points, y is worth 2 points

Thus, mathematically;

5x + 2y = 100 ••••••••••(ii)

Answer: A. x + y = 29, 5x + 2y = 100 and the other one is B. 14 problems worth 5 points and 15 problems worth 2 points

300,000 -7,000 + 100 + 60 +3?

Answers

Answer:

293,163

Step-by-step explanation:

300,000-7,000+100+60+3

293,000+100+60+3293,100+60+3293,160+3293,163

Ramon owed $850.00 on his car loan. Two months later, he owed $510.00
on the loan. By which percent did Ramon's car loan amount decrease?

Answers

Answer:

40%

Step-by-step explanation:

(850-510)/850 = 340/850 = 2/5 = 40%

Answer: 40% I looked it up

Step-by-step explanation:

I need help again with this last problem.

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex] |12| + | - 15| = [/tex]

[tex]12 - ( - 15) = [/tex]

[tex]12 + 15 = [/tex]

[tex]27[/tex]

Thus the correct answer is the last option .

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Answer:

[tex] \boxed {27}[/tex]

Step-by-step explanation:

All negative numbers in the absolute sign will become positive.

[tex] |a| = a \: \: \: \: \: \: \: (a \geqslant 0) \\ |a| = - a \: \: \: \: \: \: (a < 0)[/tex]

Therefore we evaluate | - 15 | = 15

[tex]12 + 15 = \red {27}[/tex]

Choose the definition for the function.

Answers

Answer: C

Step-by-step explanation:

Mindy needs to rake a rectangular part of her yard that is 9 feet by 8 feet. It takes her 10 minutes to rake an area that is 12 feet square. How long will it take Mindy to rake the rectangular part of her yard?

Answers

Answer:

60 minutes

Step-by-step explanation:

Time taken to rake 12ft² = 10 minutes

Area of Mindy's rectangular path :

Area of rectangle = Length * Width

Dimension of Mindy's rectangular path = 9ft by 8ft

Area = 9ft * 8ft

Area = 72ft²

Hence, it will take Mindy;

(Area of Mindy's path / 12 ft) * time taken

(72ft² / 12ft²) * 10 minutes

6 * 10 = 60 minutes

What fraction goes in the box to make it correct?
4/11×_=1

Answers

Step-by-step explanation:

[tex] \frac{11}{4} [/tex]

[tex] \frac{4}{11} \times \frac{11}{4} = \frac{44}{44} = 1[/tex]

if it's helpful ❤❤❤

THANK YOU.

Determine the value for x

Answers

Answer:

option 2) is correct

angle a and angle x are supplementary angles

so x=180-140

x=40°

Please help!
And explain the answers too!

Answers

1) He worked 4 hours leaving 6 more hours for him.
rate for A alone 6 baker
rate for A & B together 4
1/a+1/b=1/x
1/6+1/b=1/4
1/b=1/4-1/6
1/b=6/24-4/24
1/b=2/24
1/b=1/12
b=12
rate for wife alone 12 hours for the remaining 6 hours
check
1/6+1/12=1/4
12/72+6/72=1/4
18/72=1/4
ok
codewa
But we want to know how long it would have taken her for the whole job not just part of it
he works twice as fast as she does so the job that takes him 10 hours alone would take her 20 hours alone.

2) jessica and cynthia work in a pet shop.
it takes jessica 6 hours to groom all the pets but cynthia needs 8 hours to groom them.
if jessica starts to groom 1 hour before cynthia joins, how long will it take them to finish?
:
let t = time it takes them to finish (C's working time)
then
t+1 = J's working time
let 1 = completed job (all pets groomed)
:
A shared work equation, each does a fraction of the job, the two fractions add up to 1
%28%28t%2B1%29%29%2F6 + t%2F8 = 1
Multiply by the least common multiple of 6 and 8, 24. cancel the denominators
4(t+1) + 3t = 24
4t + 4 + 3t = 24
4t + 3t = 24 - 4
7t = 20
t = 20/7
t = 26%2F7 hrs, which is: 2 + 6%2F7*60 = 2 hrs 51.43 min to finish the job

3) math club takes 40 minutes
science takes 50 minutes.
rate * time = quantity
quantity = 1 set up of the tables.
rate for math club is 1/40 of all the tables in 1 minute.
rate for science club is 1/50 of all the tables in 1 minute.
math club works for 10 minutes.
rate * time = quantity
1/40 * 10 = 10/40 = 1/4 of the tables are already set up by the math club.
there are 3/4 of the tables that still need to be set up.
rate * time = quantity
the rates of the math club and the science club are additive.
(1/40 + 1/50) * time = 3/4 of the tables that still need to be set up.
common denominator is 200.
(5/200 + 4/200) * time = 3/4.
9/200 * time = 3/4
time = 3/4 * 200/9 = 600 / 36 = 16 and 2/3 minutes.
total time required is 10 + 16 + 2/3 minutes = 26 + 2/3 minutes.
how to check.
10 minutes is used to do 1/4 of the tables.
16 + 2/3 minutes is used to do the remaining 3/4 of the tables.
combined rate of math and science club is 9/200 of the tables in 1 minute.
math club rate of 1/40 * 10 = 10/40 = 1/4 of the tables.
combine rate of 9/200 * (16 + 2/3) = 9/200 * 50/3 = 450/600 = 9/12 = 3/4 of the tables.
1/4 + 3/4 = 1 = all of the tables.

Find the coordinates of the point where y-4x=1 crosses the y axis

Answers

Answer:

The coordinate is (0,1) .

Step-by-step explanation:

A linear equation is given to us and we need to find the point at which it will cut y axis . The given eqution is y - 4x = 1. We know that at y axis x coordinate is 0. So on substituting x = 0 , we have ;

Put x = 0 :-

⇒ y - 4x = 1

⇒ y - 4*0 = 1

⇒ y - 0 = 1 .

⇒ y = 1 .

Hence the required co ordinate is ( 0 , 4 ).

Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?

Answers

Answer:

36 ft

Step-by-step explanation:

Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?

Hence, this is calculated as:

5ft/15ft = 12 ft/Daniela's height

Cross Multiply

5ft × Daniela's height = 15ft × 12ft

Daniela's height = 15ft × 12 ft/5ft

= 36ft

Therefore, Daniela's height = 36 ft

3h+5 when h =4 23 points

Answers

Answer:

3*4= 12 12+5=17

Step-by-step explanation:

hav a great day :P

Answer:

Step-by-step explanation:

3h + 5 h=4

plug in 4 for h

3(4) + 5

12 + 5

Hope this Helps!!!

find the values of z and y plssss

Answers

Answer:

z is 23 and i dont see a y

Step-by-step explanation:

The cost to enter the fair is $9. Rides cost $5 each. Write the equation to represent this problem.
Class comments

Answers

Cost or C = 5r + 9.

Find 80% of 14,236.
Enter the correct answer in the box.

Answers

Answer:

11388.8

Step-by-step explanation:

Answer:

11,388.8

Step-by-step explanation:

if 14,236 = 100℅

X. = 80℅

14,236*80℅ divided by 100℅

X= 11,388.8

Other Questions

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

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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