Solve for the missing side lengths indicated by the question mark.

Solve For The Missing Side Lengths Indicated By The Question Mark.

Answers

Answer 1

Answer:

6; 40

Step-by-step explanation:

Problem 1:

Based on the triangle similarity theorem, we would have the following equation:

Let the missing side length = x

Thus:

(15 + x)/15 = 14/(14 - 4)

(15 + x)/15 = 14/10

(15 + x)/15 = 7/5

Cross multiply

5(15 + x) = 7*15

75 + 5x = 105

5x = 105 - 75

5x = 30

x = 30/5

x = 6

Missing side = 6

Problem 2:

Applying similarly theorem also, we have:

Let the missing side = x

x/(x - 25) = 24/(24 - 15)

X/(x - 25) = 24/9

x/(x - 25) = 8/3

Cross multiply

x*3 = 8(x - 25)

3x = 8x - 200

3x - 8x = -200

-5x = -200

x = -200/-5

x = 40

Missing side = 40


Related Questions

point a and point b are placed on a number line point a is located at -20 and point b is 5 less then point a Wich statement about point b is true​

Answers

Answer:

Step-by-step explanation:

D beause less then 5 that means it gose down the grid

What is the perimeter of the square below ?
5 inches

Answers

Answer: Where is the square?

Step-by-step explanation:

Marking as brainliest



So basically I need u to in ur on words for the reasoning to explain to me how I got my answer. An the answer is in the second box I circled it btw this is 9th grade algebra!

Answers

you knew that it had to be a total of $60.60 and that the flat cost of the plan is $48. so you subtracted the flat cost from the total cost to get the amount that could be spent on gigabytes of data. since you knew that the gigabytes cost $3 each, you divided the remaining budget (12.60) by $3 and got the number of gigabytes that she can get.

sorry if that's confusing or wordy! hope it helps!

The formula for the volume of a pyramid is
V = 1/3 Bh. What can be concluded about this triangular pyramid? Check all that apply.

The height is 7 cm.
The base area is 73.5 cm2.
The volume is 171.5 cm3.
The volume of a prism with the same base area and height is 3 times the volume of this pyramid.
The area of a lateral face is used to find the volume.

Answers

Answer: C and D

Step-by-step explanation:I just did it my bad for the late response.

PLEASE HELP ME!!!!!

what is the perimeter and area of this figure?

Answers

Answer:

The perimeter is 99

Step-by-step explanation:

you do 11x9=99

Due at 12 pls help



....

Answers

Answer:

64,120 written as 6.412 x 10^4 in scientific notation

A person is standing on the equator of Earth (radius 3960 miles). What are his linear and angular speeds?

Answers

Answer:

Linear speed =ωr=2π/86400×3960=11π/120 miles/s.

Step-by-step explanation:

The linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.

It is given that radius of equator of earth is 3960 miles.

We have to find the linear and angular speeds.

What do you mean by the linear speed ?

The linear speed of a point on the object is equal to the angular speed (ω) multiplied by the distance r.

As per the question ;

radius of equator of earth = 3960 miles

The linear speed will be ;

s = rθ / t

We know that ; at any point of equator would complete 360° or 2π radians revolutions every 24 hours.

So ;

s = (3960 miles × 2π) / 24 hour

s = 330π miles / hour

s ≅ 1036.73 miles / hour

And

The angular speed will be ;

ω = s / r

ω = 1036.73 / 3960 minutes

ω = 0.26 radian/hour

Thus , the linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.

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Heavy general purpose trucks are often used in pipeline operations. They are built to hold up when carrying or pulling substantial loads, and yet still be suitable for regular highway use. A new truck with appropriate options is purchased for $47,000. It is estimated to have a useful life of 5 years and a salvage value of $2,900 at that time.

Required:
Develop a table showing the depreciation.

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Purchase price=  $47,000  

Salvage value= $2,900  

Useful life= 5 years

To calculate the annual depreciation, we need to use the following formula:

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation= (47,000 - 2,900) / 5= $8,820

The accumulated depreciation is calculated as follow:

Accumulated depreciation= years of depreciation*annual depreciation

For year 4:

Accumulated depreciation= 8,820*4= $35,280

Finally, the book value is:

Book value= purchase price - accumulated depreciation

Year Annual depreciation Accumulated depreciation Book value

1                 8820                                8820                  38180

2                 8820                                17640                  29360

3                 8820                                26460                  20540

4                 8820                                      35280                 11720

5                 8820                                 44100                    2900

What is the value of x in 2.5-0.35x=-3

Answers

Answer:

X= 110/7 or 15.7 or rounded to 16

Answer:

x=15.714285

Step-by-step explanation:

-0.35x=-3-2.5

-0.35x=-5.5

-0.35/-0.35= -5.5/0.35

X=-5.5/-0.35

X=15.714285

Simplify the following expression: 7(2x+ 6y)​

Answers

Answer:

7(2x+ 6y)​ = 14x + 42y

Step-by-step explanation:

give brainllest plz

Arc measure of A and B

Answers

Answer:

arc a = 64°

arc b = 112°

Step-by-step explanation:

inscribed angles = 1/2 their arc

arc of 102° = 204° arc

arc a = 204° - 140° = 64°

arc of 92° = 184°

arc b = 360° - 184° - 64° = 112°

I need the surface area plz

Answers

Answer:

922

Step-by-step explanation:

(5x22)x2=220

(13x5)x2=130

(22x13)x2=572

220+130+572=922

Answer:

Length (l) = 22 ft

Breadth (b) = 13 ft

Height (h) = 5 ft

Surface Area of a cuboid

[tex] = 2(lb + bh + lh)[/tex]

[tex] = 2(22 \times 13 + 13 \times 5 + 5 \times 22) \\ = 2(286 + 65 + 110) \\ = 2(461) \\ = 2 \times 461 \\ = 922 \: ft ^{3} [/tex]

=> Surface area of the cuboid will be 922 ft³.

Geometry Question I am stuck on!

Answers

Answer: 60
Explanation:

What is the answer to this question?

Answers

Answer:  12a^3b^4

Hope this helps

-7r^2= -329 square root property​

Answers

9514 1404 393

Answer:

  r = ±√47

Step-by-step explanation:

  -7r^2 = -329 . . . . given

  r^2 = 47 . . . . . divide both sides by -7 (multiplication property of equality)

  r = ±√47 . . . .  square root both sides (square root property of equality)

Answer:

This is what I got.

Step-by-step explanation:

PLEASE HELP !!!!!!!Find

y, such that ABC ~A
DEF.

Answers

Use proportionals to find y.

[tex] \frac{9}{18} = \frac{6}{y} [/tex]

Answer:y=12

find the value f(-5)

Answers

Answer:

-9

Step-by-step explanation:

Which is not a solution of this inequality?

Answers

Answer:

10

Step-by-step explanation:

10-8=2 being smaller or equal to 2.

How would you write the equation with a slope of 2/3 and a y-intercept of -3 in slope- intercept form

Answers

y=2/3x-2

Explanation:

The equation of a line can be written as y=mx+c

m=slope and c = y-intercept

The point at the x−intercept has coordinates (-3,0)

In y=mx+c

0=2/3(3)+c

0=2+c

-2=c

The equation is y=2/3x-2

Answer:

[tex] y = \frac{2}{3} x - 3[/tex]

Step-by-step explanation:

Slope (m) = 2/3

y-intercept (b) = - 3

Equation of line in slope intercept form is given as:

[tex] y = mx + b[/tex]

Plug the values of m and b in the above equation, we find:

[tex]y = \frac{2}{3} x + ( - 3) \\ \\ y = \frac{2}{3} x - 3[/tex]

Jade is thinking of a number. 3/4 of 200 is the same as 1/8 of her number. What number is she thinking of?

Answers

Answer:

1200

Step-by-step explanation:

3/4 of 200 = 150

150 is 1/8 of 1200

Answer:

1200

Step-by-step explanation:

3/4 of 200 is 150

is 150 is 1/8 of her number then multiply 150 by 8 and you get her number.

Write the ratio for tan A.
A
25
22
B

Answers

Answer:

list

tan (A)=

A=

25=

22=

B=

Step-by-step explanation:

A cell phone company is offering a plan for unlimited talk and text with an additional charge for data that can be represented by the function C(g) = 14.99g + 32, where C represents the cost, in dollars, and g represents the number of gigabytes of data, According to this model, fill in the blanks with the values that complete the sentence. The cost of the plan for unlimited talk and text is $ ______ , with an additional cost of $ ______ for each gigabyte of data.​

Answers

This means that the extra cost for using 1 gigabyte of data will be $14.99, for using 2 gigabytes of data it will be $29.98, and so on.

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

The given function C(g) = 14.99g + 32 represents the cost, in dollars, for a cell phone plan that offers unlimited talk and text, with an additional charge for data usage.

The function has two parts:

The fixed cost of the plan is $32 (this is the cost you pay even if you don't use any data).

The variable cost of the data usage is $14.99 per gigabyte.

So, the cost of the plan for unlimited talk and text is the fixed cost, which is $32.

And, the additional cost for each gigabyte of data is the variable cost, which is $14.99.

This means that if you use 1 gigabyte of data, the additional cost will be $14.99, if you use 2 gigabytes of data, the additional cost will be $29.98, and so on.

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A photographer is arranging 3 puppies in a row for a photo. There is one black puppy (B), one tan puppy (T), and one white puppy (W). Which list shows all the possible arrangements of the puppies?
Select one:

BTW, BBB, TTT, WWW, BBT, BBW, TTB, TTW, WWB, WWT

TWB, BTW, WBT

TWB, TBW, BTW, BWT, WBT, WTB

BTW, BWT

Answers

Btw, Twb, wtb, tbw, wbt,

Dress mart is having an end of summer sale that reduces all prices by 25%. What is the sale price of a dress that is regularly $38.00?

Answers

Answer:

$28.50

Step-by-step explanation:

$38.00 x 0.75 = $28.50

Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0 and σ=15.0. A random sample of 51 people is taken. Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 98? Round your answer to 4 decimal places, if necessary.

Answers

Answer:

0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

What is the probability of a random person on the street having an IQ score of less than 98?

This is the pvalue of Z when X = 98. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{98 - 100}{15}[/tex]

[tex]Z = -0.1333[/tex]

[tex]Z = -0.1333[/tex] has a pvalue of 0.4470

0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.

Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x<53)?
A. 0.84
B. 0.16
C. 0.025
D. 0.975

Answers

The correct answer is A. 0.84

The value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.

What is a normal distribution?

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We know,

[tex]\rm Z = \dfrac{X-\mu}{SD}[/tex]

X = 53, μ = 50, and SD = 3

[tex]\rm Z = \dfrac{53-50}{3}[/tex]

Z = 1

From the Z table.

The value of P(X<53) = 0.84

Thus, the value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.

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What is the volume of an 8-inch by 4-inch by 4
1) 2-inch rectangular box?

Answer________ cubic inches

Answers

Answer is 128 cubic inches

The volume of the given box is 64 inch³

What is volume?

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The length, width, and height of a rectangular box are multiplied to get its volume.

As a result, the following formula may be used to determine the volume of an 8 inches by 4 inches by 2 inches rectangular box:

Volume is calculated using the formula LWH.

Volume is =8 * 4 * 2 inches.

64 cubic inches is the volume.

The rectangular box measures 8 by 4 by 2 inches and thus has a volume of 64 cubic inches.

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Twenty nine concrete blocks were sampled and tested for crushing strength in order to estimate the proportion that were sufficiently strong for a certain application. Twenty seven of the 29 blocks were sufficiently strong. Use the small-sample method to construct a 95% confidence interval for the proportion of blocks that are sufficiently strong.

Answers

Answer:

95% confidence interval for the proportion of blocks that are sufficiently strong

(0.83913 , 1.02293)

Step-by-step explanation:

Step:-1

Given that the sample size 'n' = 29 blocks

Estimate proportion

                       [tex]p = \frac{x}{n} = \frac{27}{29} = 0.93103[/tex]

Step:-2

95% confidence interval for the proportion of blocks that are sufficiently strong

[tex](p^{-} -Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )[/tex]

[tex](0.93103 -1.96 \sqrt{\frac{0.93103(1-0.93103)}{29} } , 0.93103 + 1.96 \sqrt{\frac{0.93103(1-0.93103)}{29} } )[/tex]

(0.93103 -  0.0919 , 0.93103 +0.0919)

(0.83913 , 1.02293)

Final answer:-

95% confidence interval for the proportion of blocks that are sufficiently strong

(0.83913 , 1.02293)

Consider the following vectors in component form.
→u=⟨3.2,2.5⟩
→v=⟨−6.3,−5.9⟩
→w=⟨−0.2,0.9⟩
→z=⟨11,−3⟩
Represent each of the following resultant vectors in component form. (Each answer should be in the form "< #, #>".) →u+→v=
→v+→w=  
→u+→z=
→w+→z+→u=​

Answers

Answer:

Cartesian Coordinate System

• Also called

rectangular coordinate

system

• x- and y- axes intersect

at the origin

• Points are labeled (x,y)

Polar Coordinate System

– Origin and reference

line are noted

– Point is distance r from

the origin in the

direction of angle θ,

ccw from reference

line

– Points are labeled (r,θ)

Cartesian to Polar Coordinates

• r is the hypotenuse and θ

an angle

θ must be ccw from

positive x axis for these

equations to be vali

Step-by-step explanation:

Hi I need help please just tell the answer don’t scam me with a link and have a nice day :)

Answers

C is the answer :)

9=6+3
15=12+3
21=18+3
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