The hypotenuse of the right triangle is 5y inches long. The lengths of the legs are x + 8 and x + 3 inches. If the perimeter of the triangle is 60 inches and the length of the hypotenuse minus the length of the shorter leg is 10 inches, how many inches long is the hypotenuse?

Answers

Answer 1

Answer:

25

Step-by-step explanation:

The perimeter of triangle is equal to the sum of all sides of triangle

then:

5y + (x+8) + (x+3) = 60

5y + 2x +11 = 60

5y +2x = 49  ..............................................................(1)

the hypotenuse - shorter leg = 10

hint (  shorter leg ) = x+3

then

5y - (x + 3 ) = 10

5y - x - 3 = 10

5y - x = 13               .................................................... (2)

from 1 and 2

5y +2x = 49  .................................................................. (3)

5y - x = 13 (multiply both sides by 2 )

10y - 2x = 26 ..................................................................(4)

by sum 3 and 4

15y = 75

then y = 75/15 = 5

then hypotenuse = 5y = 5 x 5 = 25

Answer 2

Answer:

5

Step-by-step explanation:


Related Questions

Due in 10 minutes please help !! ASAP Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 90p each.
If she pays with a £20 note, how much change would she get in pounds, £?

Answers

Answer:

£2.4 is the anwser im pretty sure

Step-by-step explanation:

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Della has $575.38 in her checking account. What is the balance after she makes a deposit of $50.00 and a withdrawal of $85.45?
A)
$539.93
B)
$558.45
C)
$561.63
D)
$603.73

Answers

Answer:

A) 539.93

Step-by-step explanation:

575.38 + 50 - 85.45 = 539.93

Answer: A

$539.93

Step-by-step explanation:

Balance is $575.38 so add (+) $50 for her deposit and subtract (-) $85.45 to get the answer

Plz help on BOTH of the questions

Answers

Answer:

4.30000x(1+3%)x10%=$3090

5. 20x1.5x2.1=63

Step-by-step explanation:

yayyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answers

Answer:

It b

Step-by-step explanation:

We know this because 1/2 is 0.5 while 2/3 is 0.67. With this we can say that 1/2 is least than 2/3

Hope this Helped

Lines a and b are parallel. Parallel lines a and b are cut by transversals s and t. The angles formed by the intersection of lines a, s, and t, clockwise from top left are blank, blank, blank, blank, (7 x) degrees, blank; formed by lines b and s are blank, blank, blank, (11 x) degrees; formed by lines b and t are 90 degrees, blank, blank, blank. What is the value of x? 5 10 35 55

Answers

Answer:

x = 5

Step-by-step explanation:

Given that, exterior angles on the same side of a traversal are supplementary a Hence, sums up to 180°

Given the angles:

7x° + 11x° + 90° = 180°

18x° + 90° = 180°

18x° = 180° - 90°

18x° = 90°

x = 90° ÷ 18

x = 5

Answer:

The Person ^ is Correct the Answer is X=5

Step-by-step explanation

You Have a Brain, Use It

Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.

Answers

Answer:

[tex] - 8x + 120y - 56[/tex]

Step-by-step explanation:

evaluate the power calculate

[tex]8(1 x + 3 \times 5y - 7[/tex]

the coefficient of 1 doest have to be written but keep the sign

[tex]8( - 1x + 15y - 7[/tex]

remove the parentheses

Find the length of the third side. If necessary, write in simplest radical form. 1 2

Answers

Answer:

√3

Step-by-step explanation:

Using the pythagorean theorem, we know that a^2 + b^2 = c^2

In this case, c = 2, which means that a^2 + b^2 = 4

Since we know that a = 1, this means that a^2 is also 1. So, we know that b^2 = 4 - 1

Therefore, b^2 = 3

So, the answer is square root 3

Plz mark as brainliest :D!

can answer this please

Answers

Answer:

[tex] \frac{a}{b} = \frac{3}{2} [/tex]

Step-by-step explanation:

Since both the triangles are similar, so their corresponding sides would be in proportion.

Therefore,

[tex] \frac{a}{b} = \frac{2.1}{1.4} \\ \\ \frac{a}{b} = \frac{3}{2} [/tex]

a woman is 5 times as old as her daughter in 15 years time to be two times as old as her daughter to find a mother's presentsage​

Answers

Answer:

25 years.

Step-by-step explanation:

Given that a woman is 5 times as old as her daughter, while in 15 years time it will be two times as old as her daughter, to find a mother's presents age the following calculation must be performed:

5 x 5 = 25

25 + 15 = 40

40/2 = 20

5 + 15 = 20

Thus, the present age of the mother is 25 years, while that of her daughter is 5 years, with which the mother is five times the age of her daughter. In 15 years, the mother will be 40 and her daughter 20, with which she will only be twice her age.

Here is a trapezium, work out its area

Answers

The rectangular part is 30 cm^2 and the triangular part is 10 because the base is the top of the trapezium subtracted from the base of 10.

So the overall area is 30 cm^2

150 grams decreased by 74% ?

Answers

Answer:

39

Step-by-step explanation:

multiple 159 by 74% them subtract

39
150 x .74= 111
150-111= 39

find the area of the figure

Answers

Answer:

24 sq units

Step-by-step explanation:

Answer:

24 square units

Step-by-step explanation:

The boxes that only have a half-shaded in can be counted as 0.5.

If you combine these half-shaded boxes, it will give you 1.

Since there are 8 half-shaded boxes, that equal to 0.5, you can multiply these together and get 4.

Add this to the 20 whole boxes, and you will get 24.

I am in need of help

Answers

Answer:

The answer is Step 2: m<w + m<z = 180 degrees (suppplmentary angles).

Step-by-step explanation:

First, Step 2 says m<w - m<z = 90 degrees. That's false because the m<w - m<z  would equal an acute angle, not a right angle. Secondly, the m<w + m<z = 180 degrees. Supplementary angles equal 180 degrees.

TOOS
4
The number of books (b) in a preschool classroom is proportional to the number of children (C) enrolled.
If the preschool has three books in a classroom for each child enrolled, which equation represents the total number of books in the
classroom?
A. 6 = 30
B. b = 3-0
C. 6 = 3 +0
o D. 6 = 1/2
Reset
Next Question

Answers

Answer:

Step-by-step explanation:

Given that:

Number of books, b α number of children enrolled

b α C

b = kC

Number of books, b = 3 for each child, c = 1 enrolled

Total number of books in class room :

Total number of books = Number of books per child * Number of child)

Total number of books = 3 * Numbe of child

The answer is c i believe

PLZ HELP ill mark brainlist

Answers

Answer:

x is 60 and y is 50

hope it helped have a good day mate

Pls help ASAP!! Plss

Answers

pretty sure c gte 60

Answer:

c>72

Step-by-step explanation:

−12+c>60

Step 1: Simplify both sides of the inequality.

c−12>60

Step 2: Add 12 to both sides.

c−12+12>60+12

c>72


What information do you need to know to write an equation relating two quantities that have a proportional relationship?
o constant of proportionality and variable to represent other quantities
O equivalent ratios and units
constant of proportionality and equivalent ratios
variable to represent unknown numbers
No new data to save. Last checked at 5:30pm
Submit Qu
Bi
ere to search

Answers

Answer:

so C but might be A

Step-by-step explanation:

Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio. That is, when you divide any pair of the two values, you always get the same number k.

good luck, i hope this helps :)

This is the function f(x)= x2 − 4x + 6 .


What is the axis of symmetry?

Answers

Answer:

x = 2

Step-by-step explanation:

Find the distance between the two points rounding to the nearest tenth (if necessary). (2,−3) and (0,−8)

Answers

Answer:

square root of 29

Step-by-step explanation:

use the distance formula and then plug the numbers in, i got the sqrt(29) after i did that

Line G has a slope of -2/3. Line age is perpendicular to G. What is the slope of line h?

Answers

Perpendicular lines has negative reciprocal slopes.

"Negative reciprocal" is just a fancy way of

saying flip the fraction and change the sign.

So flipping the fraction gives us -3/2 and change the sign to get +3/2.

5/2k+1=-9
What does k equal?

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

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

Step-by-step explanation:

If you mean,

[tex] \frac{5}{2k} + 1 = - 9[/tex]

Then the answer would be,

[tex]k = - \frac{1}{4} [/tex]

But, if you mean

[tex] \frac{5}{2} k + 1 = - 9[/tex]

Then the answer would be,

[tex]k = - 4[/tex]

Jasmine had some candy to give to her three children. She first took four pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?

Answers

Answer:

10 pieces

Step-by-step explanation:

She gave herself 4 pieces, and each child 2 pieces. If she has 3 children, she gave them 6 pieces.

(3*2=6) and then you add with the amount she gave herself, (6+4) that would be 10.  She started with 10 pieces.

An equation would be:

x= 4+(2*3)

I hope this helps!

(Also this equation seems a bit easy, am I reading it wrong? If I am be sure to correct me :) )

Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week.Elena starts with $10 in her savings account and adds $20 each week.

Answers

Answer:

Andre has more money.

two adjacent angles of a rhombus as in the ratio 2:3. Eind all the a angles of the rombus​

Answers

Answer:

Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.

Step-by-step explanation:

Answer:

Let the adjacent angles of the rhombus be 2x and 3x.

we know that the sum of the measures of the adjacent angles is equal to 180°.

2x+3x=180

=5x=180

=x=180/5

=x=36°

Hence,AB =BC=2×36°=72°

AD=DC=3×36°=108°

Hence,The angles of the rhombus are 72°,108°, 72°and108°.

I hope it's helpful!

To create a model of an artery, a health teacher uses the scale 2.5 cm : 0.75 mm. If the diameter of the artery is 2.7 mm, what is the diameter on the model?



a
9 m
b
90 cm
c
18 cm
d
9 cm

Answers

Answer: 9 cm

Step-by-step explanation:

I took the test

Answer the question provided in the picture below.

Answers

Answer: see the explanation

Step-by-step explanation:The perimeter is the distance around the outside of a shape. Perimeter is measured in units (e.g., cm). The area is the amount of space the inside of the shape takes up. Area is measured in square units (e.g., cm2).

Solve for n. N3 = 16

Answers

5.33333....

Divide 3 both side of the equation, so the 3 on the N side is gone. Now left with n=16/3
So divide that and you get the answer

4k squared = 100 solve for k

Answers

Answer:

k = 5

Step-by-step explanation:

4k^2 = 100

4k^2/4 = 100/4

k^2 = 25

k=5

Please help me find the values of z and x!

Answers

Answer:

The answer would be 299

Step-by-step explanation: Just plug in 74 into x

10. A standard stop sign measures 30.00 inches from flat to flat. What is the side length, x, of the stop

sign (to the nearest 0.01 in.)? Justify your answer.

30.00 in

Answers

Answer:

The answer is "12.426 in".

Step-by-step explanation:

[tex]\to b+2c=30\\\\\to b = 15 \times \tan 22.5 \\\\[/tex]

      [tex]= 15 \times 0.414213562\\\\=6.21320343 \times 2 \\\\=12.4264069 \ in \\\\[/tex]

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