Mathematics College

What is the value of x in the given triangle, in inches?

Answers

Answer 1

The numerical value of side length x in the right triangle is 8.

What is the numerical value of x?

The figures in the image are two similar right triagles.

Since the two right triangles are similar, we equate the ratio of the sides of the two triangles.

x/6 = (x + 4)/9

Cross multiply and solve for x:

6( x + 4 ) = x × 9

Apply distributive property:

6 × x + 6 × 4 = x × 9

Simplifying, we get:

6x + 24 = 9x

Subtract 6x from both sides:

6x - 6x + 24 = 9x - 6x

24 = 9x - 6x

24 = 3x

3x = 24

Divide both sides by 3:

x = 24/3

x = 8

Therefore, the value of 8.

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Related Questions

Solve the equation x-20.7=9.5 for x

Answers

The answer will come out to 30.2

x= 30.2, solve by isolating x.
x= 20.7 + 9.5

In a scale drawing of a rectangular garden,
the length is 15 inches and the width is
9 inches. In the drawing, 2 inches represents
3 yards. What is the width of the actual
garden, in yards?

Answers

Answer:

width is 13.5 yards

Step-by-step explanation:

2" / 3 yds = 9" / 'x' yards

cross-multiply:

2x = 27

x = 13 1/2 yards

Which table represents a linear function?
Х
1
2
3
4
y
--2
-6
-2
-6
Х
1
2
3
4
у
-2.
-5
-9
-14
Х
1
2
3
4
y
-2
-10
-18
-26
Х
1
2
у
|--2
-4
O

Answers

Answer:

The last table is the answer

Step-by-step explanation:

The last table has a constant slope of -3, hence it represents a linear function.

Table of functions

From the given table, we need to determine which of the table is a linear table.

To determine that, we must check which of the table has a constant rate of change

Looking at the last table;

Slope = -4-(-2)/2-1
Slope = -4+1/1

Slope = -3

Since the last table has a constant slope of -3, hence it represents a linear function.

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HELPPP WILL MARK BRAINLIEST!!!!!!!!!!!!

what is the miniumum value of y=x^2-4x+8

Answers

Answer:

2 is your answer lemme know if I'm right

Answer:

Step-by-step explanation:

The smallest value within that equation would be 2 since all of the other numbers are have more value than 2 does.

Paul and James are class fellows and their ages are consecutive natural numbers. The product of their ages is 63.Paul is elder than James. Determine ages of both Paul and James.

Answers

Answer:

Step-by-step explanation:

There are no consecutive natural numbers with a product of 63. But, there are two consecutive ODD natural numbers with a productd of 63. Could it be that you typed the problem incorrectly?

Question 5 of 10
Which of the following is most likely the next step in the series?
CO

Answers

C will be the answer as 1st figure have 6 side,2nd figure have 5 side,3rd figure have 4 side then last one will have three side

Answer:

c. because the first one has 6 sides the second one has 5 sides and the third one has 4 sides so that means has 3 sides which is the triangle.

find c and round to the nearest tenth

Answers

Answer:

C=9.7

Step-by-step explanation:

Haha

Find the distance travelled by a vehicle in 10 seconds when it travels at the uniform speed of 72kmh

Answers

Answer:

If the initial velocity being is a straight line, and the final velocity being 0 km/hr, or o m/s, then:

v(final) = v(initial) + at

0 = 72 Km/h + (-=a * 10 s)

- a * 10 s = 72 km/hr * hr/3600s * 1000m/km = 20m/s

a = - (20 m/s) / (10 s)

a = - 2 m/s^2

That’s 2 m/s^2.

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

Step-by-step explanation:

Formula : distance=speed×time

time.= 10s = 10÷60÷60= 1/360h

speed = 72km/h

distance = 72×1/360 = 0.2km

which of the following is not a composite number a6 b7 c8 d9

Answers

Answer:

7 isn't a composite number

Step-by-step explanation:

Answer:

7, it's a prime number

Step-by-step explanation:

An art teacher gives a total of 35 pounds of clay to her students. She gives each of her 16 students the same amount of clay. How many pounds of clay does each student get?

Please write it as a fraction.

Answers

Answer:

35/16

Step-by-step explanation:

Answer:

2.1875

Step-by-step explanation:

35/16=2.1875

2.1875 pounds

Which of the following represents an equation of a line parallel to one whose equation is 2x + 8x = 18

Answers

Answer:

y=-4x+3

Step-by-step explanation:

it does not show the equations that are following

but the main thing you need to know is that when two lines are parallel they have the same slope

and do you mean 2x+8y=18 not x?

edit:

answer choices: y=-4x+3, y=8x-2, y=4x+7, y=-8x+9

2y+8x=18

first change that equation to slope intercept form to find the slope

2y = -8x+18 -> y = -4x+9

slope is -4

so the answer is y=-4x+3 because it also has a slope of -4

Kendall is Jamal's older brother. The sum of their age is 39 the difference of their age is 9. How old are Kendall and Jamal?
Write and solve the system of equations.

Answers

Answer:

Kendall is 24 and Jamal is 15.

Step-by-step explanation:

39 - 9 = 30

30 ÷ 2 = 15

15 is Jamal's age.

15 + 9 = 24

24 is Kendall's age.

9/10 of a 70-foot-long driveway has already been paved. How many feet of the driveway has been paved?"

Answers

Answer:

Step-by-step explanation:

Round to the nearest percent

Answers

The answer is 20%. 18% rounded is 20%

help I’ll give brainliest

Answers

Answer: The median of the upper half of a set of data is the upper quartile ( UQ ) or Q3 . The upper and lower quartiles can be used to find another measure of variation call the interquartile range . The interquartile range or IQR is the range of the middle half of a set of data.

Step-by-step explanation:

What additional information would allow the triangles to be proven similar by AA?
Question options:

A)

≅

B)

≅

C)

∠M ≅ ∠P

D)

∠Q ≅ ∠P

Answers

The additional information would allow the triangles to be proven similar by AA is: C. ∠M ≅ ∠P.

What is the AA Similarity Theorem?

The acronym, "AA" stands for "angle-angle". Thus, the AA similarity theorem is a triangle theorem that is used to prove that two triangles that have two pairs of corresponding congruent angles are similar to each other.

The figure given shows two triangles, triangle MNO and triangle PQR, which have a pair of corresponding congruent angles, angle MNO and angle PQR [both are congruent because they are right angles that are equal to angle 90 degrees.]

Thus, this is not enough to prove that both triangles are similar to each other by the AA similarity theorem.

In other to prove that both triangles are similar by AA, we need to be given or shown that both triangles also have another pair of corresponding congruent angles.

Thus, the additional information needed can be: C. ∠M ≅ ∠P.

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Type the ordered pair for each vertex below

Answers

Answer:G = 7,3H = 9,6I = 11,3Hope this helps!!♥︎

The first one is G=7,3.

5 – 4|1 + 2x| = -3
Solve for x in simplest form

Answers

Answer:

[tex]x = \frac{1}{2} [/tex]

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

An airport has two long-term parking lots. The cost to park, y, in each lot for x days is shown in the tables.

A system of linear equations can be used to determine on which day the cost to park is the same for both lots. One of the equations in the
system is y=6x. What is the other equation in the system?

Answers

Answer:

y = 4x + 12

Step-by-step explanation:

Hey there,

For Lot A I found the slope to be 4/1. You can do this by picking two points and finding the change in y over the change in x, or you can just look at the graph and realize that to get from one y variable to the other you're adding 4 and to get from one x variable to the other you're adding one. That means it's equal to 4/1 which is the same thing as 4. We know that at 1 the cost is $16. The y-intercept has to be equal to 12, meaning that they started off with $12 and are gaining $4 every day.

I hope this helps :)

This month the animal shelter had 50 puppies.
Some puppies were adopted. Now there are 40
puppies. What is the percent of change?

Answers

Answer:

5 percent change

Step-by-step explanation:

The PTA is holding a raffle. The prize is a camera worth $55000. Each raffle ticket costs $2. 29 tickets are sold and a winner is drawn at random. Find the expected value of the purchase of a ticket.

Answers

Answer: $1,894.55

Step-by-step explanation:

The expected value is the sum of the different outcomes multiplied by the probability that that particular outcome comes true.

Probability of winning = 1/29 tickets

Probability of losing = 28/29 tickets

Gain if you win

= Price - cost of tickets

= 55,000 - 2

= $54,998

Loss if lose:

= -$2

Expected value = (Probability of winning * gain if you win) + (Prob. of losing * loss)

= (1/29 * 54,998) + (28/29 * -2)

= $1,894.55

When solving quadratic equation, what do the X value stand for as it relates to plotting the graph of the equation?

Answers

Step-by-step explanation:

step 1. The x values refer to the domain of the function.

step 2. if you set y = 0 and solve the quadratic equation the x values refer to the point the graph crosses the x axis.

At lunch, Darius ordered a slice of pizza for $2.75, French fries for $1.20, and a drink for $1.35. Sale tax was $0.37. If Darius paid for his lunch with a $10 bill, how much change did he get back?

Answers

Answer:

he gets 4.33 dollars back

Step-by-step explanation:

add 2.75+1.20+1.35+0.37= 5.67

10-5.67=4.33 $

Answer:

4.33

Step-by-step explanation:

if u add 2.75 1.20 and 1.35 plus the additional 37 cents u get 5.67 then u do 10- 5.67

simplify the ratio of 55/121

Answers

Step-by-step explanation:

Subtract/add from each side then divide, if dividing by a negative reverse the sign.

Answer:

all values are x

Step-by-step explanation:

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