the triangles are similar. solve for x

The Triangles Are Similar. Solve For X

Answers

Answer 1

Answer:

x= 6.25

Step-by-step explanation:

The hypotenuse of triangle JKL is taken as 96, in the similar way the hypotenuse of triangle JTU is 36. So x can be found by first finding the value of JU, using the Pythagoras theorem.

[tex]a^{2} = b^{2} + c^{2}[/tex]

In this shape the formula will be:

[tex]TU^{2} = JT^{2} + JU^{2}[/tex]

Substitute the given values in the shape into the formula.

TU = 34

JT = 27

TU = Lets take 'y'

[tex]34^{2} = 27^{2} + y^{2}[/tex]

1156 = 729 + [tex]y^{2}[/tex]

[tex]y^{2}[/tex] = 1156 - 729

[tex]y^{2}[/tex] = 427

y = [tex]\sqrt{427}[/tex] = 20.7 ( rounded to 1 decimal place) = 21 (rounded to whole number).

So the original value of JU is '21', but we have to find the value of 'x'. So the expression '-4 + 4x' is equal to 21. This can be written as:

-4 + 4x = 21

4x = 21 + 4

4x = 25

∴ x = [tex]\frac{25}{4}[/tex] = 6.25

x= 6.25


Related Questions

what is the decimal multiplier to increase by 75%​

Answers

Answer:

1.75

Step-by-step explanation:

Let the number to be increased be x

If x is to be increased by 75% then the result after the increase T may be expressed as

T = x + 75% * x

T = x + 0.75x

T = 1.75x

As such when x is increased by 75%, the result is the product of x and 1.75 (the multiplier).

Solve f(x)= x2 when x = 5.

Answers

Answer:

10

Step-by-step explanation:

Answer:

f = 2

Step-by-step explanation:

f(x) = x2  ...  when 'x' is equal to 5

So...

1.) Plug in 5 for the variable 'x'

f(5) = (5) * (2)

2.) Simplify both sides of the equation

5f = 10

3.) Divide both sides by 5

5f /5  =  10/5

f = 2

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope I helped!!!

GL :)

two students were trying to see how far they control football Sadie through the football 48 yards and William through the football 6 yards how many times further than Sadie throws a ball than William rain equation to solve use a symbol for the unknown number

Answers

I think it’s 48:6=8 so the ans is 8

please help asap njdksnjksdnkjnds

Answers

Answer:

J

Step-by-step explanation:

Can i get brainliest

PLS HELP I WILL GIVE BRAINLIEST

Answers

Answer:

Easy 10000 like that was so easy

Step-by-step explanatLOLLO

Lilly opens an account with $60. Each week she deposits $12. Write an expression to show the amount she has after w weeks.

Answers

Answer:

5 weeks

Step-by-step explanation:

so if Lily has $60 and takes out (subtracts) 12 a week then it would look like this

    TOTAL STARTED WITH       EACH WEEK

          $60                  -12              48

         $48               -     -12           36

         $36                      -12          24

           $24                  -12          12

          $12                   -12           0

SO Lily will have enough money to deposit for 5 weeks

Find the midpoint of the following
two coordinates:
Please helppp

Answers

Answer:

C. (4, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, 1)

Point (5, 5)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute in points [Midpoint Formula]:                                                       [tex]\displaystyle (\frac{3+5}{2},\frac{1+5}{2})[/tex][Fraction] Add:                                                                                                    [tex]\displaystyle (\frac{8}{2},\frac{6}{2})[/tex][Fraction] Divide:                                                                                                   [tex]\displaystyle (4,3)[/tex]

HELP I WILL GIVE BRAINLIEST IF YOUR CORRECT :C

Answers

25/12
2 1/12
2.083
all of those are the right answer just in different forms

Answer:

2.083

Step-by-step explanation:

Twenty people in your class want to be on a 5-person bowling team to represent the
class. How many different bowling orders can be chosen?

Answers

Answer:

4 :)

Step-by-step explanation:

What is the quotient of 72 divided by 0.75?

Answers

Answer:

96

Step-by-step explanation:

Answer:

96 is the answer for this question

Figure ABCD is reflected across the x-axis.

What are the coordinates of A' , B' , C' , and D' ?

Enter your answer by filling in the boxes.

A' (​ , )

B' (​ , )

C' (​ , )

D' (​ , )

Answers

Answer:

Step-by-step explanation:

A.(2,-3)

B.(5,-5)

C.(7,-3)

D.(5,-2)

I believe is the correct coordinates for reflection over x axis

Answer:

A.(2,-3)

B.(5,-5)

C.(7,-3)

D.(5,-2)

Step-by-step explanation:

Solve for x.
7x - 3 = 46
Explain your process below:
First I...
Then I...
Insert picture of your work here
Lastly I...

Answers

First I... Added 3 on both sides to get 7x=49
Then I... Divide both sided by 7 to isolate x
Lastly I... Got x=7

If
x
=
4
and
y
=
5
, evaluate the following expression:
3
(
4
x
+
3
y
)

Answers

Answer:

93

Step-by-step explanation:

x = 4, y = 5

3(4x + 3y)

= 3(4(4) + 3(5))

= 3(16 + 15)

= 3(31)

= 93

Answer:

93

Step-by-step explanation:

4*4= 16

3*5=15

16+15= 31

31*3= 93

Can someone pls help me and I’ll give u brainliest if ur correct and if u don’t know don’t answer

Answers

So for the top one the mistake is they didn’t multiply by a negative(2 is supposed to be negative)so your answer would be -6 and just put down the the other steps and change that.

Pls help please!??!?!!??

Answers

three consecutive integers 

the sum of the first two integers is 24 more than the third integer.

This means that the three integers are 25, 26 and 27.

HELPPPPP PLEASEEEEEEEE I'M SOOOOO CONSUSED?!?!?!??!?!?!?!??!?!??!


I tried lma0 but I still need help

Answers

4 and 5 are alternate angles.

2 and 3 are vertically opposite angles.

1 and 5 are corresponding angles.

2 and 7 are alternate exterior angles.

3 and 4 are supplementary angles.

PLEASE HELP ME WITH THIS ILL GIVE U BRAINLEST

Answers

Answer:

y=-2/5x+5

Step-by-step explanation:

does 5 ÷ 1/4 equal 1/20 true or false?




Answers

Answer:

Step-by-step explanation:

No false because 5 ÷ 1/4 = 1.25 and 1/20 = 0.05

Answer:

False

Step-by-step explanation:

( ،
Find the simple interest
on 150.000 for 5years at 2%per annum

Answers

Answer:

165000

Step-by-step explanation:

simple interest

PV(1+it)

150000(1+5*.02)

=165000

if you need it then the interest earned would just be 165000-150000= 15000

Solve 9 ax + 10 ax = 11ax + 32 for x. Assume at 0.
Can someone help

Answers

It’s undefined. Because if you replace x with 0. You will never get anything.

Simplify

2
x
×
2
x
×
x

Answers

Answer:

-4x^3 (negative four x cubed)

Step-by-step explanation:

-2x X 2x X x

-4x^3

Please help, thank u​

Answers

Answer:

Angle B is 120°

Step-by-step explanation:

Since it's a supplementary angle (angles that add up to 180°) on top of the triangle, you would find ∠B by subtracting 180 by 60 and ∠B will be 120°. Hope this helps:)

Please help what is number 5 i have done the rest!!!

Answers

Answer:

(4²πx2) + (8π x 4) = 201.061... OR 64π

Answer:

Step-by-step explanation:

5) r = 8/2 = 4 cm

Top and bottom = 2*πr²

                           = 2 * 3.14 * 4 * 4

                          = 100.48 cm²

Middle part = h * πd

                  = 4 * 3.14 * 8

                 = 75.36 cm²

Total = 100.38 + 75.36   = 175 .84 cm²

Evaluate the equation. -4x = 14 A.10 B. 7/2 C. -7/2 D. -10

Answers

Answer:

c) -7/2

Step-by-step explanation:

14/-4= -3.5

Answer:

C

Step-by-step explanation:

-4x/-4=14/-4

=-7/2

what does it mean when you cancel out the variables and you have a solution like 5=5?

Answers

Answer:

Then you have infinite solutions

Step-by-step explanation:

if no solution, you would get sum lyke 4 = 5

if infinite soltution you would get sum lyke 3 = 3

if you have one solution, expect to get sum lyke x = 5

Which is the larger fraction ?
2/13, 1/13 or 5/13*


plsssss answer i will mark as brilliant

Answers

Answer:

To get the reciprocal of a fraction, just turn it upside down. Like this: 3. 4. A Fraction ... Convert it to an improper fraction: 213 = 6 3 + 1 3 = 7 3 2.

Step-by-step explanation:

2/13 if im correct

Step-by-step explanation:

2/13 < 1/13 < 5/13

A test contains 28 multiple-choice questions and some open-ended questions. If 70% of the test questions are multiple-choice and the rest of the questions are open ended, how many open-ended questions are on the test?
A 40 questions
B. 22 questions
C 7 questions
D. 12 questions​

Answers

C is the correct answer
“C” (7questions) is it

Mary wants to do a cheesecake. She needs 4 1/2 cups of sweet cream. She knows that 1
cup = 8 ounces How many ounces does she need?
Plsss 50 points!?

Answers

Answer:

36 ounces

Step-by-step explanation:

If 1 cup equals 8 ounces, you would multiply 4 1/2 by 8. 8 x 4 is 32 (ounces), and half of 8 is 4, so 4 ounces. You would then add 32 and 4 together to get your answer. Hope this helps!!

Answer:

She needs 36 ounces.

Step-by-step explanation:

4 1/2=9/2

1/8=(9/2)/x

cross product

8(9/2)=1*x

72/2=x

x=36

vera está usando su teléfono. Su batería está a 2/5 de capacidad, y esta baja 1/9 cada hora. ¿Cuántas horas durará la batería?

Answers

Answer:

3.6 hours

Step-by-step explanation:

The computation of the number of hours will the battery last is given below:

Given that

The capacity of her battery is 2 by 5

And, it declines 1 by 9 for every hour

So,

[tex]= \frac{2}{5}\times \frac{9}{1}\\\\= \frac{18}{5}\\\\= 3\frac{3}{5}[/tex]

= 3.6 hours

Find the slope of the line through the given points.
(-3,1), (-1,5)

Answers

Answer:

2

Step-by-step explanation:

(1-5)/(-3+1) = -4/-2 = 2

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