15.
enuse AC
Find the
In the accompanying diagram of right triangle RST,
altitude TP is drawn to hypotenuse RS. If TP = 6
and RP is 5 less than PS, find the length of
hypotenuse RS. [Only an algebraic solution will
be accepted.]

Someone help me please

Answers

Answer 1

Answer:

13

Step-by-step explanation:

Let PS = x and RP = x-5

Using Pythagorean theorem on the two smaller rt triangles formed,

6^2 + x^2 = (ST)^2

6^2 + (x-5)^2 = (RT)^2

Now use Pythag on big triangle and sub in above values:

(2x-5)^2 = 6^2 + x^2 + 6^2 + (x-5)^2

Multiply out and simplify to

x^2 - 5x -36 = 0

Factor the quadratic: ((x-9)(x+4)=0  Therefore x=9 or x=-4.  We may disregard the negative answer so x = 9.  So PS is 9 and RP is 4.

Therefore entire hypotenuse is 4 + 9 or 13.


Related Questions

I need help, please​

Answers

Answer:

C

Step-by-step explanation:

12^2 = 144, 9^2 = 81, and 15^2 = 225.

144 + 81 = 225, therefore a^2 + b^2 = c^2.

Has to be C. The other answers are wrong

What is the equation of the following line written in slope-intercept form?



y = 5x
y = -5x
y =

Answers

Answer:

_+5 is the best way to get the best way answer


4. Find m_1.
140°
650

Answers

Answer:

∠ 1 = 50°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

140° is an exterior angle of the triangle, thus

90° + ∠ 1 = 140° ( subtract 90° from both sides )

∠ 1 = 50°

Answer:

50 degrees

Step-by-step explanation:

To find the measure of angle 1, you must first find the other unknown angle in the triangle. You can find this through supplementary angles. The bottom angle as well as 140 must be equal to 180 because they are supplementary, so to find it solve 180-140, which is 40. Now two of the angles in the triangle are known, one is 40 and the other is 90 as shown by the square. You know that every angle equals 180 degrees, so to find angle 1 add the known angles and subtract that from 180. 180-(90+40), which equals 50. So m<1=50.

Explain how to write and evaluate an algebraic expression.

thirteen less than the quotient of forty and a number; evaluate when n = 2.
Plss Hurry Im D u m b And A Failure Like Im Failing And If I Pass I Get My Games (which i havnt had since 2019) bc i failed last year

Answers

Answer:

40/n - 137

Step-by-step explanation:

Thirteen less than the quotient of forty and a number. Required equation:

40/n - 13

When n = 2 we have:

40/2 - 13 = 20 - 13 = 7

Answer:

Sample Response: Replace key words with variables, numbers, and operations. Less than is subtraction, and quotient is division. Order matters with subraction and division. The expression is

40

n

-13. To evaluate is the expression, substitute 2 in for the variable, and then use order of operations to simplify. The value when n = 2 is 7.

Step-by-step explanation:

Need help pls. Correct answer gets brainliest and 50 pts


Where do they intersect?​

Answers

Answer:

hey i need to talk

Step-by-step explanation:

help me please :) find m of angle bdg

Answers

Answer:

90°

Step-by-step explanation:

BG=AG

ΔABG is an  Isosceles.

D is the midpoint of AB.

DG⊥AB

So, m∠BDG=90°

14+x=-19
please solve for x

Answers

It’s -33 my work is in the picture

I’m stuck I need the answer

Answers

This is the answer for your test hope it helps

Two men are decorating a room. One has painted 20 m² and the
other only 6 m². They continue painting and manage to paint
another x m'each. If the first man has painted exactly three times
the area painted by the second man, find the value of x.

Answers

Answer:

Your answer is 120m4

Step-by-step explanation:

Answer:

22metre square.

Step-by-step explanation:

3×6=18

+ 6

=22

HELPPPP PLEASE ASAP!!!

Answers

if you have a calculator click stat edit and put in the info

Bobby, Rachel, and Sherry are going to have a water battle.

- Bobby fills his bucket at a rate of 3/4 gallon in 2 minutes.
- Rachel can fill her bucket at 1/5 gallon in 1/2 minute.
- Sherry can fill 3/8 gallon in 3/4 minute.

Order from fastest to slowest.

Answers

Answer:

The order is

Sherry >> Rachel>>Bobby

Step-by-step explanation:

Step one:

We want to find the smallest unit rate

given data

1. Bobby fills his bucket at a rate of 3/4 gallon in 2 minutes.

unit rate

=3/4/2

=3/4*1/2

=3/8

=0.375 gallons per minute

2. Rachel can fill her bucket at 1/5 gallon in 1/2 minute.

unit rate

=1/5/1/2

=1/5*2/1

=2/5

=0.4 gallons per minute

3.  Sherry can fill 3/8 gallon in 3/4 minute.

unit rate

=3/8/3/4

=3/8*4/3

=12/24

=0.5 gallons per minute

Jamie works 6.5 hours on Monday and 5.25 on Tuesday. She makes $12 per hour. How much money does she earn from working Monday and Tuesday?

Answers

Uhhhhhhhhhhhhhhhhhhhhhh
69.5
Step by step:6.5+5.25 times 12

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

?

Step-by-step explanation:

DGF I think is right I’m pretty sure

which expression is equivalent to
2(3g-4)-(8g+3)?

-2g-1
-2g-5
-2g-7
-2g-11​

Answers

Answer:

-2g - 11

Step-by-step explanation:

Expand the brackets, multiply 2 over 3g and -4. One plus and one minus make a minus.

2(3g-4) - (8g+3) = 6g - 8 - 8g - 3

Evaluate like terms.

6g - 8 - 8g - 3 = -2g - 11

The sum of three times a number and -4 is at least twice the number plus 8

Answers

Answer:

x<=12

Step-by-step explanation:

3x+(-4)<=2x+8

3x-4<=2x+8

3x-2x-4<=8

x-4<=8

x<=8+4

x<=12

Answer:

12 ≤ x

Step-by-step explanation:

3x-4 ≥ 2x+8

3x-3x-4 ≥ 2x-3x+8

-4-8 ≥ -1x+8-8

-12 ≥ -1x

You divide -1 on both sides and get...

12 ≤ x

Because you have to switch the sign around. I hope this helps!!

Can someone pretty pls help

Answers

Answer:

3÷4 = 0.75

Step-by-step explanation:

We are to find:

3÷ 4

3÷4 =

= 3 ÷ 4

= 3 × 1/4

= 3 × 0.25

= 0.75

Nine subtracted from twice a number

Answers

Answer:

2x - 9 = -5

2x = 4

x = 2

I've been stuck on this question for so long​

Answers

If you reflect the rectangle across either the horizontal or the vertical line going straight through the middle, you will reflect it onto itself (see image).

The equation for the horizontal line is y = -1. The equation for the vertical line is x = -1.

WILL MARK BRAINLIEST!!!! BRAINLIEST!
Write 206 in base 7

Answers

10212 is the answer for sure

Answer:

413

Step-by-step explanation:

Three friends share the total cost of a game. Joe pays 30%, Mike pays , and Tony pays the rest.

Which of the following is true?

Tony paid the most.
Mike paid the most.
They all paid the same.
Joe paid the most.

Answers

Answer:

tony paid most (im pretty sure tony but if not tony its mike who paid most)

Step-by-step explanation:

Answer: B. Mike paid the most.

Hope this helps!

Please help!!!!!!!!!!!!!!!!!

Answers

Answer: 5 up 10 over

Step-by-step explanation:

I had this on my quiz

If you know this please help and explain this for me thanks

Answers

Answer:

y int is (0,5)

slope is m=-2

y=-2x+5

Step-by-step explanation:

The line has a slope of -2 and a y-intercept of y=4. (y=-2x+4)

Explanation: You can tell by where the line is landing on the x and y intercepts and it's as easy as counting lines. As far as the y-intercept goes, you can tell that by looking where the line crosses the y axis. And in this case it's (0,4) making your y-intercept, y=4.

Which expression uses the greatest common factor and the distributive property to write the sum 36 1 54 as a product? A 6(6 1 9) B 9(4 1 6) C 18(2 1 3) D 27(9 1 27)

Answers

9514 1404 393

Answer:

  C  18(2 + 3)

Step-by-step explanation:

The GCD of 36 and 54 is their difference, 18. Factoring that out of the sum, you have ...

  36 + 54 = (18·2 + 18·3) = 18(2 + 3) . . . . matches choice C

Simplify. Your answer should contain only positive exponents

Answers

Answer:

Simplify what though? i would answer u but plz put what im supposed to simplify

Step-by-step explanation:

ybybyh htgfrxxrxrrxrxrxrxrd

solve for n: 3(n+6)≥3n+8

Answers

Answer:

infinite solutions

Step-by-step explanation:

3(n+6)≥3n+8

3n+18≥3n+8 (distributive property)

18≥8 (subtracted 3n from both sides)

this will always be true so there are infinite solutions

Answer:

Step-by-step explanation:

3n+18≥3n+8

O=-10

solve for the number
18 is 9% of what number?​

Answers

The answer is 50 hope this helps you!

Answer: 200

Work: I just did 18 x 100 divided by 9, and you get the number. 18 x 100 = 1800, and I divided it by 9, and I got 200. I checked it by doing 200 x .09 (Percentage) and I had gotten 18. (Check) I hope this helps, and happy Holidays! :)

Solve each system by substitution.
9) y = 5x – 22
y= 4x - 17
11) -2x – 10 y = 26
x + 5y =-13

Answers

Answer:

y is 3 and x is 5 2.)many solutions

Step-by-step explanation:

solve for a, if F= w/9a
need step by step explanation

Answers

Answer:

a=w/9F

Step-by-step explanation:

First multiply 9a to F to have 2 equations equal each other. Divide 9aF by 9F to get a on it’s own.

Steps clear down below

Classify a triangle with size 10,10 and 22

Answers

Answer:

It's probably an isosceles triangle

Step-by-step explanation:

Victor's crew team needs to raise at least $3,000 for their trip to the state championships. A sponsor generously donated hot dogs and cans of soda for the team to sell at each school sporting event. The crew team members will sell hot dogs for $2 each and sodas for $1 each. Which inequality can be used to calculate how many hot dogs,x, and sodas, y, Victor's team needs to sell to have enough money for the trip?​

Answers

3000>_ 2x+1y

That is the greater than or equal to btw
So the need at least 3000 so that can raise more which is why it’s greater than or equal to. But it’s 2x because hotdogs are the x and they are being sold for two dollars each same with the y as it equals the soda which is being sold for one dollar
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