1) If the perimeter of triangle STU is 125 cm, and segments TW, VW, and VT measure 21 cm, 30 cm, and 24 cm, respectively, what is the length of segment SU?​

Answers

Answer 1

GIVEN: The perimeter of triangle STU is  125.

The segments TW=21 cm

VW=30 cm

VT=24 cm

TO FIND: The length of the segment SU.

SOLUTION:

As corresponding sides must be same. so we have,

[tex]\frac{TV}{TS}=\frac{TW}{TU}\\\\ \frac{24}{TS}=\frac{21}{TU}\\\frac{TU}{TS}=\frac{7}{8}=k(say)\\[/tex]

Then, TU=7k and TS=8k

[tex]\frac{TV}{TS}=\frac{VW}{SU}\\\\ \frac{24}{TS}=\frac{30}{SU}\\\frac{24}{8k}=\frac{30}{SU}\\SU=10k[/tex]

As the perimeter of triangle STU is  125.

so,

8·k+7·k+10·k=125

⇒25.k=125

⇒k=5

Therefore, SU=10×5=50


Related Questions

You received a coupon in the mail for $15 off any pair of Vans so you decide to go shopping. When you walk into the store you find out that there is a sale and all shoes are 30% off! You find a pair of Vans that you love and they cost $55.

Do you use your $15 coupon or take the 30% discount? Which one is the better deal? Be sure to explain your reasoning.

Answers

Answer:

the 30% off is better because 30% of 55 is 16.5 and the coupon is for 15 so the 30% off is better.

Step-by-step explanation:

The 30% off is a much better choice because 30% from 55 is $16.5 dollars which is much better than getting just $15 off

Given that sinx = 3/5 and cosy = 7/25, with x and y both being Quadrant I angles, find tan(x/2).

Answers

Answer:

0,33

Step-by-step explanation:

x = 36,87

y = 73,74

tan(x/2)

= tan(36,87/2)

= tan (18,44)

= 0,33

Answer:

multiply both side by 2 which gives u tan x 2 is equal to X

multiply it and it will give u the answer But make sure your calculator is in degree mode

help me pls i need lots of help pls

Answers

Answer:

Its option D :)

---

28° + y + 36° = 180°

Jenny bought 3 CDs that were each the same price. Including sales tax, she paid a total of $45.30 Of that total, $1.50 was tax. What was the price of each CD before tax?
I need the right answer give brainliest

Answers

Answer:

each cd is 14.60

Step-by-step explanation:

45.30-1.50= 43.80

43.80÷3=14.60

Answer:14.30

Step-by-step explanation:

$14.30 per CD and .50 tax per Cd

If x = 2, what is the value of 5x + 3?
A. 7
B. 10
C. 13
D. 55

Answers

Answer:

C)

Step-by-step explanation:

5 times 2 equals 10

add 3

the total comes up to 13.

A dogsled race had 6 teams with 7 dogs each and 8 teams with 9
dogs each.
How many dogs raced?

Answers

114 dogs raced

Explanation:
6 x 7 = 42
8 x 9 = 72
72 + 42 = 114

MARK ME BRAINLIEST HAVE A NICE DAY

PLZ HELP, DUE TONIGHT!! Find the values of a and b such that f(x) is continuous at x=

Answers

Answers:

a = 2 and b = -4

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

Explanation:

Let's define the three helper functions

f(x) = ax^2 - bh(x) = 6j(x) = 5ax+b

which are drawn from the piecewise function. The g(x) function will change depending on what the input is.

If x < 1, then g(x) = f(x). If x = 1, then g(x) = h(x)If x > 1, then g(x) = j(x)

Since we want g(x) to be continuous at x = 1, this must mean the three functions f(x), h(x), j(x) must have the same output value when the input is x = 1.

Because h(x) = 6 is a constant function, the output is always 6 regardless of the input. Therefore, we want f(x) and j(x) to have 6 as their output when x = 1. Or else, the pieces won't connect.

Plug x = 1 into the f(x) function to get

f(x) = ax^2 - b

f(1) = a(1)^2 - b

f(1) = a - b

Set this equal to the desired output of 6 and we end up with the equation a-b = 6. Solving for 'a' leads to a = b+6.

------------

We'll use the same idea for j(x)

j(x) = 5ax + b

j(1) = 5a(1) + b

j(1) = 5a + b

5a+b = 6

5(b+6) + b = 6 ... plug in a = b+6; solve for b

5b+30+b = 6

6b+30 = 6

6b = 6-30

6b = -24

b = -24/6

b = -4

Which then leads to,

a = b+6

a = -4+6

a = 2

------------

Since a = 2 and b = -4, we go from this

[tex]g(x) = \begin{cases}ax^2-b, \ \ x < 1\\6, \ \ x = 1\\5ax+b, \ \ x > 1\end{cases}[/tex]

to this

[tex]g(x) = \begin{cases}2x^2+4, \ \ x < 1\\6, \ \ x = 1\\10x-4, \ \ x > 1\end{cases}[/tex]

Meaning

f(x) = 2x^2+4 and j(x) = 10x-4

You should find that plugging x = 1 into each of those two functions leads to 6 as the output.

The graph is shown below. Note the red graph f(x) is only drawn when x < 1. Similarly, j(x) is only drawn when x > 1. The orange point represents h(x) which only happens when x = 1. So as the name implies, the piecewise function g(x) is composed of pieces of the three functions f(x), h(x), j(x).

hey! i’ll give brainliest help thanks

Answers

Answer:

Option A, Look closely and you will observe a bright light

Step-by-step explanation:

The cause here is to look closely, if you don't look closely you wont see the bright light... Similarly if there is no cause there is no effect.

Hope this helps!

Please help me I don’t understand it and I really need help.

Answers

Answer:

b

Step-by-step explanation:

HELP ASAP!!! WILL MARK BRAINLIEST

50x^4 - 20x^2 + 1 = 0

1. Write the equation in quadratic form
2. Identify the U
3. Write in U-Substitution form
4. Which factoring method would you use to solve?

Answers

Answer:

50x⁴ - 20x² + 1 = 0

1. Quadratic form

50(x²)² - 20x² + 1 = 0

2. U is

x² = u

3. U- substitution

50u² - 20u + 1 = 0

4. Find the discriminant and identify roots

d = (-20)² - 4*1*50 = 200u = (20 ± √200)/100u = (2 ± √2)/10

Solve for x

x² = (2 ± √2)/10x = ± √((2 ± √2)/10), four roots

If P = (-1,6), Find: Rx-axis (P).

Can you show me how to do this?
And explain lt to me like I'm 8 xD
appreciate it.
I hate math lol.

Answers

Answer:

Step-by-step explanation:

its (-1,-6)

this is your answer

hey! i’ll give brainliest please help

Answers

Answer:

I think it's D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

They are anxious to get their results

pls pls plssss help I really need this. if you can pls explain too

Answers

Answer:

dpr,rpd

Step-by-step explanation:

thats the answers at least i think thats for first.

Answer:

1) ∠P, ∠DPR, ∠KPR, ∠RPD

2) x = 111°

3) x = 5

4) m∠3 = 72°

Step-by-step explanation:

1) All of the angles display ∠P, you will noticed this if you go from the first letter point and it goes to ∠P and to the last letter point with only including ∠P.

2) I already solved this one in a different post of yours. Subtract all known values from 180° to get your answer.

3) Use the same principle knowing that all sides of a triangle add up to 180°. Add all of the angles together, set the equation to 180 and solve for x.

4) By the Alternate Exterior Angles Theorem, If a transversal intersects two parallel lines, then alternate exterior angles are congruent. Therfore, m∠6 ≡ m∠2, and we know m∠2. Solve by subtracting 108° from 180° because angles on the same line add up to 180°.

find the vertex of y=-x²-4x+12

Answers

the vertex is (-2, 16)

PLEASE HELP WITH GEOMETRY!! CACULATE SURFACE AREA, SHOW WORKw

Answers

Answer:

10 x 4 = 40, 40 x 2 = 80

5 x 10 = 50, 50 x 2 = 100

5 x 4 = 20, 20 x 2 = 40

100 + 80 + 40 = 220 ft2

Question 2 (5 points)
Write the expression with fewer terms.
10x – 3y + 2x

Answers

Answer:

12x - 3y

Step-by-step explanation:

Combine Like Terms

10x + 2x = 12x

Becky can wash 15 dishes in 5 minutes. How many dishes will she be able to wash in 8 minutes?

Answers

Answer:

24 is correct answer

Step-by-step explanation:

its a 5:15 ratio, you are finding 8:x

8/5=1.6-> 1.6 x a5 = 24

Answer:

24 plates

Step-by-step explanation:

If she can wash 15 dishes in 5 minutes you just need to figure out how many dished she can washe in 1 minute. so you are gonna divide 15 by 5 and get 3 because 3 times 5 equals 15. so then that means she can wash 3 plates in 1 minute. so if she washed 15 in 5 in 6 minutes she can wash 18 and in 7 minutes she can wash 21 and in 8 minutes she can wash 24. Your just adding 3 to the 15 for every minute.

If the length of one side of an equilateral triangle measures 40 cm, what is the length of its altitude? State the letter of the correct answer.

Answers

Answer:

the length of its altitude is 34.64 cm

Step-by-step explanation:

Given;

length of a side of the equilateral triangle, L = 40 cm

All the sides of an equilateral triangle are equal

To get the altitude of the triangle, draw a perpendicular line from one of the vertices to intersect the opposite side.

Let the altitude = h

half of the opposite side intersected by the altitude = 20 cm

Apply Pythagoras theorem to determine the altitude 'h'

h² = 40²  -  20²

h² = 1200

h = √1200

h = 34.64 cm

Therefore, the length of its altitude is 34.64 cm

What is 99,900 rounded to the nearest ten thousand

Answers

Answer:

100,000

Step-by-step explanation:

Because the 9 thousand is more than 5.

100,000 because the nine is next to another nine

simplify v + 4y + y + 2 + 6vy + -Y
A. 5v +3
B. SV +6W +2
с, буу2 +2

Answers

C. 6yy2 +2 Hope this helped!

What is the missing number in the synthetic division problem below?
23 -22 4
6 8 20
3 4 ? 24
A. 2.
B. 8
a
C. 10
D. -6

Answers

Given:

A synthetic division problem.

To find:

The missing number it in the given synthetic division problem.

Solution:

The given synthetic division problem is:

[tex]3|\overline{3\quad -2\quad 2\quad 4}\\[/tex]

           [tex]\quad 6\quad 8\quad 20\\[/tex]

     [tex]\overline{3\quad 4\quad ?\quad 24}[/tex]

In synthetic division, we need to add first and second row to get the bottom row.

[tex]3+0=3[/tex]

[tex]-2+6=4[/tex]

[tex]4+20=24[/tex]

Similarly,

[tex]2+8=10[/tex]

Therefore, the missing value in the given synthetic problem is 10. Hence, the correct option is C.

Please Helpp

A boy is flying a kite. The length of the string is 61 meters and the
horizontal distance between the boy and the kite is 60 meters. Assuming
there is no slack in the string, find the height of the kite from the ground.
kite
61 m
?
boy
60 m
OB) / 179 cm
OA) 165 m
OC) 50 cm
OD) 11 m

Answers

Answer: D

Step-by-step explanation:

11 m

Answer:

D

Step-by-step explanation:

took the test

Please help,
Find the area of the figure

Answers

Answer:

54

Step-by-step explanation:

I think it's 54

You are looking for a summer job at a sneaker shop. The most popular sneakers sold are shown below:

Answers

I would like to help you but you forgot to paste the picture of the most popular sneakers. Please post a picture and I’ll be happy to help you

In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?
EF = 6 cm and FG = 10 cm
EF = 7 cm and FG = 3 cm
EF = 15 cm and FG = 20 cm
EF = 25 cm and FG = 35 cm

Answers

Answer:

EF = 25 cm and FG = 35 cm

Step-by-step explanation:

After finding each scale factor for each of the 4 answers, only the last option is relatable. Every other option resulted in different numbers of EF and FG.

Answer:

D

Step-by-step explanation:

Evaluate the following expression when x = 1.5.
Show your work!
7.5 - X

Answers

Answer:

6

Step-by-step explanation:

7.5-1.5

=6

that is easy

Answer is 6—————————-/——/———————

HELPPPPPPP!!!! 0÷0

Find the RATIO and the EXACT VALUE of the given CscB.​

Answers

Answer:

Step-by-step explanation:

take angle B as reference angle

using cosec rule

cosec B=hypotenuse/opposite

cosec B=13/12

cosec B=1.08

B=cosec 67

B=67 degree

for ratio,

cosec B=13/12

what is the reciprocal of 24​

Answers

Answer:

-1/24

Step-by-step explanation:

To find the reciprocal, you swap the numerator and the denominator. In this case, the numerator is 24 and the denominator is 1. Therefore, it would be 1/24. Now all we have to do is make this number negative. This would make it -1/24. Therefore, the reciprocal of 24 is -1/24.

If this helps please mark as brainliest

-1/24 or 1/24 To find the reciprocal, divide 1
by the number given.

PLSSS HELP ME WITH THESE :)))

Answers

Answer:

7) [tex]x \to x - 3[/tex].

8) [tex]y \to y + 2[/tex]

9) The entire quadratic equation did not get reflected.

Step-by-step explanation:

7) A horizontal translation to the right is of the form:

[tex]x \to x - a[/tex]

Let [tex]y = -(x-3)^{2} + 2[/tex], then the horizontal translation is represented by [tex]x \to x - 3[/tex].

8) A vertical translation upwards is of the form:

[tex]y \to y + a[/tex]

Let [tex]y = -(x-3)^{2} + 2[/tex] , then the vertical translation is represented by:

[tex]y \to y + 2[/tex]

9) The only component of the quadratic equation that was reflected was the part [tex](x-3) ^{2}[/tex] along the x-axis. We can create the entire function by applying the following steps:

(i) [tex]f(x) = x^{2}[/tex] (Original function)

(ii) [tex]f(x) = (x-3)^{2}[/tex] (Horizontal translation)

(iii) [tex]f(x) = - (x-3)^{2}[/tex] (Reflection)

(iv) [tex]f(x) = -(x-3)^{2} + 2[/tex] (Vertical translation)

The entire quadratic equation did not get reflected.

Write three fractions equivalent to 27/30. show work

Answers

54/60 108/120 216/240 double both numbers each time
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