Solve for the value of x

Answers

Answer 1

Answer:

x=9

Step-by-step explanation:

To solve for x, you can set up a proportion between the 2 triangles we see.

The small triangle can be written as [tex]\frac{16}{20}[/tex], and the large triangle can be written as [tex]\frac{16+12}{20+2x-3} = \frac{28}{2x+17}[/tex].

Set both proportions equal to each other.

[tex]\frac{16}{20}=\frac{28}{2x+17}[/tex]

Cross multiply and solve for x.

[tex]16(2x+17)=(28)(20)[/tex]

32x+272=560

32x=288

x=9

Related Questions

The square below represents one whole.
What percent is represented by the shaded area?

Answers

40%
——————————————-

2/3+7/15
Help pls
no scam

Answers

[tex] \boxed{ \huge \bf \: Solution:—}[/tex]

[tex] \sf \longmapsto \dfrac{2}{3} \ + \dfrac{7}{15} [/tex]

[tex]\sf \longmapsto \: \dfrac{10}{15} + \dfrac{7}{15} [/tex]

[tex]\sf \longmapsto \: \dfrac{10 + 7}{15} [/tex]

[tex]\sf \longmapsto \dfrac{17}{15} [/tex]

Decimal—1.13333

[tex]\boxed{\huge\bf{Answer:—}}[/tex]

[tex]\bf \dfrac{17}{15} [/tex]

[tex]\bf{1.13}[/tex]

Answer:

17/15 or 1 2/15

Step-by-step explanation:

2/3 + 7/15 = The common denominator is 1510/15 + 7/15 = 17/15 = 1 2/15

A triangle can have a maximum of how many non-acute angles?

Answers

Answer:

we have only two or three acute angles in a triangle. so ima say at least 1

Step-by-step explanation:

7. (6 points) For the following geometric sequence, 3 ,- 1, 1/3,-1/9, …
Find the formula for the nth term

Answers

Answer:

The formula of the nth term is a₇=48(1/2)⁷⁻¹=48×1/64=3/4

Step-by-step explanation:

40% of athletes have tattoos and get into fights with other athletes. 50% of athletes get into fights with other athletes. What is the probability that an athlete that is getting into a fight has a tattoo

Answers

The probability that an athlete that is getting into a fight has a tattoo is 0.80

Let the events be represented as:

Event A : get into a fightEvent B: has a tattoo

So, the probabilities are given as:

[tex]P(A\ n\ B) = 40\%[/tex]

[tex]P(A) = 50\%[/tex]

The probability that an athlete that is getting into a fight has a tattoo is represented as: P(B | A)

So, we have:

[tex]P(B | A) = \frac{P(A\ n\ B)}{P(A)}[/tex]

Substitute known values

[tex]P(B | A) = \frac{40\%}{50\%}[/tex]

Cancel out the percentages

[tex]P(B | A) = \frac{40}{50}[/tex]

Divide 40 by 50

[tex]P(B | A) = 0.80[/tex]

Hence, the probability that an athlete that is getting into a fight has a tattoo is 0.80

Answers

Answer:

11[tex]\sqrt3[/tex] or 39.66 units.

Step-by-step explanation:

Use the distance formula!

Answer:

The distance between two points with coordinates (-10,-15) and (12,18) is:

39.66 units (results are rounded to the nearest 100th)

Step-by-step explanation:

Hoped this helped.

I apologize if this is incorrect.

This is an urgent matter! Please help!

Answers

Answer:

the answer is c a increasing line

Determine the value of cos 45 X 29

Answers

Answer:

20.50609665

around 20.506

(9/5)^3

I have no idea

Answers

Answer:

5.832

Step-by-step explanation:

5. (5 points) Write the first 5 terms of the sequence if a1 = 9 and an-1 +n

Answers

Answer:

9,4,-1,-6,-11

Step-by-step explanation:

When n = 1: a(1+1) =a(1) +1

a(2) = -9 +1

a(2) = -8

When n = 2: a(2+1) =a(2) + 2

a(3) = -8 + 2

a(3) = -6

When n = 3: a(3+1) = -6 + 3

a(4) = -3

JoAnn bought 18 apples for $12.42. What was the price for 1 apple?

Answers

0.69 cents just divide them :)

Answer: $1.45

Step-by-step explanation:

18/12.42 = $1.45

please someone help me this is the third time i have had to post this question bc of bots

Answers

Answer: It,ll increase

Step-by-step explanation:

Answer:

Add all of the numbers together then multipy them by 25

Step-by-step explanation:

35X25=875

Problema: Juan quiere repartir sus calidez entre sus hermanos pequeños. Dice que dará la
mitad en Anna y tres sextas partes en Ignacio. Anna está enfadada porque dice que
Ignacio tendrá más, ¿es cierto?

Answers

Answer:

no .,..false

Step-by-step explanation:

find the value of n n+150+7+100=200+50+27

Answers

Answer:

Step-by-step explanation:

n+150+7+100=200+50+27

n+257 = 277

n = 277 - 257

n = 20

Answer:

Step-by-step explanation:

hope it will help goodbye.if there is any other question feel free to ask

Please help me it’s due in 12 minutes also pls explain why

Answers

Root 25 is the rational number as it equals 5

Need help solving homework

Answers

3 + 2 = 1 + 4
2 + 15 = 10 + 7
8 + 9 = 19 - 2
12 - 7 = 14 - 9

Hope this helped!

8+9 and 10+7 are both 17
12-7 and 3+2 are both 5
19-2 and 2+15 are both 17
14-9 and 1+4 are both 5

8+9=10+7=19-2=2+15

12-7=3+2=14-9=1+4

Help hep help help math math math

Answers

Answer:

<4 corresponds with <8

Step-by-step explanation:

They correspond because they are in the same position relative to the lines.

As you can see, it is in the exterior area and it matches up exactly with the other angle. I attached an example picture of a corresponding angle

ABCD is a parallelogram. Determine the length of BE.

Answers

Answer:

BE = 102 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other , so

DE = EB , that is

- 8x + 14 = 3 - 9x (add 9x to both sides )

x + 14 = 3 ( subtract 14 from both sides )

x = - 11

Then

BE = 3 - 9x = 3 - 9(- 11) = 3 + 99 = 102 units

Answer:

Step-by-step explanation:I've took the test

HELP ME ASAP!!!
Question 3(Multiple Choice Worth 5 points)
(04.04 MC)

If a sprinkler waters 1 over 15 of a lawn in 1 over 3 hour, how much time will it take to water the entire lawn?

5 hours
15 hours
18 hours
45 hours

Answers

Answer:

45 hour GIVE BRAINLY PLZ

Find the area of the region bounded by the graphs of the equations [tex]y=2x-x^2, y=0.[/tex] Provide a sketch. Show the work!

Answers

[tex]\\ \sf\longmapsto y=2x-x^2[/tex]

y=0

[tex]\\ \sf\longmapsto 2x-x^2=0[/tex]

[tex]\\ \sf\longmapsto x^2-2x=0[/tex]

[tex]\\ \sf\longmapsto x(x-2)=0[/tex]

[tex]\\ \sf\longmapsto x=0,2[/tex]

Answer

⇒ y=2x−x2

y=0

⇒ 2x - x² = 0

⇒ x² - 2x = 0

⇒ x ( x - 2 ) = 0

⇒ x = 0, 2

If 9 out of 20 candies are orange, how many orange candies will there be per 100 candies total?

Answers

Answer:

Step-by-step explanation:

20 / 9 = 2.222222222223

100 / 45 = 2.222222222223

9 is 45% of 20 and 45 is 45% of 100.

Seven less than twice a number is 43. What is the number?

Answers

Answer:

Step-by-step explanation:

x = the number

2x - 7 = 43

+7 +7

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

2x = 50

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

2 2

x = 25

Convert 39/4 into a mixed number.

Answers

Answer: The answer is 9 3/4.

Step-by-step explanation: When converting an improper fraction to a mixed number, the first step to take is figure out how many times the denominator goes into the numerator. The number 4 goes into 39

9 times(4 x 9 = 36). The remainder 3 becomes the numerator of the denominator 4, therefore 39/4 converted to a mixed number is 9 3/4.

Answer:

9 3/4

Step-by-step explanation:

Help help help help help help help math math

Answers

Answer:

Step-by-step explanation:

5x + 10 + 10x + 5 = 180

15x + 15 = 180

15x = 165

x = 11

Find the quotient. 9,270,000 100

Answers

Answer: 92,700

Step-by-step explanation:

9,270,000 / 100 = 92,700

Freddy’s savings account went from $520 to $321 after he purchased a new bike. What was the percent decrease? *

Answers

If my calculations are correct, the percentage decrease faced here is roughly 38.2%. Based on the calculations, the bicycle costs 199$ and when the cost is subtracted from 520, you would create the percentage of 38.2%.

Santa visits 57 houses in 40 seconds. At that rate how many houses can he visit in 160 seconds.

Answers

Uh numbers the answer is numbers

Answer:

x = 228

Step-by-step explanation:

Set up a proportion

57 houses / 40 seconds = x houses / 160 seconds

Cross multiply

9120 = 40x

Divide both sides by 40 to isolate x

x = 228

I hope this helped and please mark me as brainliest!

Find NMC triangle's perimeter if BO:BK=1:3 and ABC triangle's perimeter is 96

Answers

Answer:

Step-by-step explanation:

If we assume the triangles are similar and are isosceles, and that BK is an altitude, then we can work the problem.

Triangle OKN will be similar to triangle BKA, so ...

AN : AK = BO : BK = 1 : 3

Then ...

AN : AK : KC = 1 : 3 : 3

In terms of ratio units, ...

AN = 1

AC = 3+3 = 6

NC = 6-1 = 5

This means NC : AC = 5 : 6. The triangle perimeters will have the same ratio.

perimeter(NMC) = 5/6·perimeter(ABC) = 5/6·96

perimeter(NMC) = 80

Three Numbers are in the ratio of 2:3:7. What is the largest number if the sum is 288

Answers

Answer:

2x + 3x + 7x = 288

12x = 288

x = 24

The largest number is therefore 7 * 24 = 168

Step-by-step explanation:

Ms.Thomas ordered 5 pencil packs, n notebooks, and 5 sets of makers. Write an algebraic expression that represents the cost of Ms.Thomas’s order

Answers

5(1.50)+5(2.50)+2n
or
7.5+12.5+2n
20+2n= Cost

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