Triangle ABC and Triangle DEF are similar. For triangle ABC, AB = 2x , AC = 24 inches and BC = 20. For triangle DEF, EF = 5 and DF = x - 2 . What is the value of x?

Answers

Answer 1

x=8.

Following the similarity statement, we know that AC is to DF as BC is to EF. The ratio would be:

24/(x-2) = 20/5

Cross multiply:
24*5 = 20(x-2)

Use the distributive property:
120 = 20x - 40

Add 40 to both sides:
120+40 = 20x - 40 + 40
160 = 20x

Divide both sides by 20:
160/20 = 20x/20
8 = x

Related Questions

Mara listens to audiobooks while she’s driving. She has 3 mystery, 4 fiction, and 2 humor audiobooks in her car. Summarize the data using the mode

Answers

The mode, or most commonly occurring number in this data set, would be 4. Mara, therefore, has mostly fiction titles in her car.

Answer:The mode, or most commonly occurring number in this data set, would be 4. Mara, therefore, has mostly fiction titles in her car.

Step-by-step explanation:

A sequence is defined by the recursive function f(n + 1) = f(n) – 2. If f(1) = 10, what is f(3)? 1 6 8 30

Answers

The value of f(3) would be 6.

Using our formula, we know that f(1) = 10, and f(2) = f(1) - 2 = 10-2 = 8. That means that f(3) = f(2) - 2 = 8 - 2 = 6.

Answer:

Step-by-step explanation:

The range of typical total prices for an American tourist traveling on the European continent is $20.70 to $25.00. What is the average price?

Answers

For this case what we should do is find an average value of the total prices for a trip to europe
We look for the average of the prices by means of the following expression:
P = (20.70 + 25) / (2)
P = 22.8 $
Answer:
the average price is $ 22.8

Answer:

(The other answer has missing a number.)

The full answer is: $22.85

Find the greatest common factor : 32a^3b^2, 44ab^3 and 40a^2b

Find the greatest common factor : 25^2q^3, 15p^2q^2 and 35pq^4

Answers

Answer
1) 4ab
2) 5pq²

Explanation
Greatest common factor is sometimes known as GCD (greatest common divisor). It means the greatest number that can divide a set of numbers.
For example, the GCD of 12 and 18 is 6.

Question 1
Find the GCF of 32a^3 b^3,44ab^3,and 40a^2 b. To do this you can factor out the common term.
32a^3 b^3,44ab^3,and 40a^2 b
Dividing every term by ab we shall have,
ab(32a^2 b^2,44b^2,and 40a)
Dividing again by 4,
4ab(8a^2 b^2,11b^2,and 10a)
Have no other common factor, the GCF = 4ab

Question 2
Find the GCF of 25p²q³,15p² q² and 35pq^4 . To do this you can factor out the common term.
25p²q³,15p² q² and 35pq^4
Dividing each term by 5,
5(5p²q^3, 3p²q² and 7pq^4)
Dividing again by pq2,
5pq² (5pq, 3p and 7q² )
There no been any other common divisor, the GCF = 5pq²

Answer:

Part A. 4ab

Part B. 5pq²

Step-by-step explanation:

Part A). In this part the given expressions are 32a³b², 44ab³, 40a²b

We have to find the greatest common factor of these expressions.

Factors of 32a³b² = 2×2×2×2×2×a×a×a×b×b

Factors of 44ab³ = 2×2×11×a×b×b×b

Factors of 40a²b = 2×2×2×5×a×a×b

So for the the greatest common factor we will choose the common factors (bold letters) of three expressions

GCF = 2×2×a×b = 4ab

Part B). The given expressions are 25p²q³, 15p²q² and [tex]35pq^{4}[/tex]

Factors of 25p²q³ = 5×5×p×p×q×q×q

Factors of 15p²q² = 3×5×p×p×q×q

Factors of [tex]35pq^{4}[/tex] = 5×7×p×q×q×q×q

Therefore greatest common factor will be = 5pq²

(Please help~! 20 Points~!)
The solution to 8x = 32 is x = ___.
3
4
5
6

Answers

8x=32
x=
[tex] \frac{32}{8} [/tex]

=4

8x = 8 x 4 because 8 x 3 = 24, 8 x 5 = 40, and 8 x 6 = 48, so the only reasonable answer would be b. 4.

Brainliest please? I am trying to move up a rank!

The graph shows the cost for renting a post hole digger from a local hardware store. Determine the rate of change or cost per day.
A) $60 per day
B) $30 per day
C) $90 per day
D) $15 per day

Answers

It increases by $30 per day.

The given graph shows the cost for renting a post hole digger from a local hardware store. We have to determine the rate of change or cost per day.

Let us consider any two points.

Let us consider (1,30) and (2,60)

We have to determine the rate of change which is basically termed as "slope".

Rate of change is expressed as a ratio between a change in one variable relative to a corresponding change in another variable.

Therefore, rate of change or cost per day =

Change in y [tex] \div [/tex] Change in x

= [tex] \frac{60-30}{2-1} [/tex]

= 30

Therefore, the rate of change or cost per day is $30 per day.

What number is between 7/11 and 7/10

which one?
76/99
23/33
77/9
25/44

???? plz be sure its 56 points

Answers

23/33 is between 7/11 and 7/10 :)

PLEASE HELP ASAP!!!!!!!!!

Answers

[tex]\begin{cases}y=-3x+8\\y=-5x-2\end{cases}\\\\\\-5x-2=-3x+8\\\\-5x+3x=8+2\\\\-2x=10\qquad|:(-2)\\\\\boxed{x=-5}\\\\\\y=-3x+8\\\\y=-3\cdot(-5)+8\\\\y=15+8\\\\\boxed{y=23}\\\\\\ \begin{cases}x=-5\\y=23\end{cases}[/tex]

Answer C)

Please help ASAP!!!! 52 points and will give brainliest for RIGHT answer!

Answers

i have made sure and the correct answer is d

Please answer this question!! Show your work

Answers

The answer is 6.4%

When converting a decimal to a percent two places to the right.

I hope this helps!

If 8900 is invested at 3.8%

Answers

is this the question, i am assuming you are asking?

If $8,900 is invested at 3.8% interest compounded quarterly, how much will the investment be worth in 13 yrs?
A.$14,551.87
B.$14,518.40
C.$14,452.92
D.$14,574.46

If it is, Here is your answer:

Just plug everything into the equation.

A(t) = P(1 + r/n)^(nt)

P is the principle (investment)
r is the interest rate expressed as a decimal
n is the number of times compounding occurs in a year
t is the number of years

A(13) = 8900(1 + 0.038/4)^(4+13) = 14551.87

Answer is (A): 14, 551.87

Evaluate 2x^2 − 5y / 3x − y when x = 2 and y = -4

Answers

If you substitute all the variables with the number assigned the answer would be 18.

what is the length of the 2nd base of a trapezoid if the length of one base is 27 and the length of the midsegment is 19

Answers

1. To solve this exercise you must apply the "Trapezoid midsegment theorem", which says that the length of the midsegment is equal to half the sum of the lengths of the bases of the trapezoid. Therefore, you have:

x=(a+b)/2

"x" is the midsegment (x=19).
"a" and "b" are the bases (a=27).

2. When you clear the second base "b" from the formula x=(a+b)/2 and you substitute the values, you obtain:

x=(a+b)/2
2x=a+b
b=2x-a
b=2(19)-27
b=38-27
b=11

What is the length of the 2nd base of a trapezoid?

The answer is: 11

Answer: 11

Step-by-step explanation:

X=(a+b)/2

2x=a+b

B=2+-a

B=2(19)-27

B=3-27

B=11

5x - 20 = 2x + 10 How do you solve this problem?

Answers

5x - 2x = 10 + 20

3x = 30

x is 10
x=10

5x - 20 = 2x + 10
add 20 to both sides

5x= 2x + 30
subtract 2x from both sides

3x= 30
divide both sides by 3

x= 10

Hope this helps! :)

Which term describes what a manufacturer spends for goods or services?

a)cost
b)price
c)markup

Pleas help. Willl fan and medal!!

Answers

The term describing what a manufacturer spends for goods or services is cost. Cost is the expenses incurred by the manufacturer as a result of his business or undertaking. There are two types of cost of a manufacturer. The cost of goods sold and the operating expenses. The cost of goods sold are those cost incurred directly as a result of manufacturing. The operating expenses are those other expenses not indirectly involved with the manufacture of goods or services.

Make a the subject of the formula: v^2=u^2+2as. Please help & show working

Answers

It just means to isolate a. You can start like this::

V^2 = U^2 + 2AS
V^2 - U^2 = 2AS
(V^2 - U^2)/2S = A
A= (V^2 - U^2)/2S

Jax solved an equation and justified his steps as shown below. What reason would justify step 2?

3x + 5 > 2 Step 1: Given

3x > -3 Step 2: ?

x> -1 Step 3: Division Property of Equality

a. Combine Like Terms

b. Division Property of Equality

c. Subtraction Property of Equality

d. Multiplication Property of Equality

Answers

Answer: The Subtraction Property of Equality

In the problem that Jax solved he subtract 5 from both sides of the equation. This is an example of the subtraction property of equality.

The property states that if you subtract the same amount from both sides of an equation the equation remains the same.

Final answer:

Step 2 can be justified using the Multiplication Property of Equality. This property states that if we multiply or divide both sides of an inequality by the same number, the inequality will still hold true.

Explanation:

In this case, Jax divided both sides of the inequality by 3. This is a valid step because dividing both sides of the inequality by a positive number does not change the inequality. So, by dividing both sides by 3, Jax found that x > -1.

Please help asap!!!! 53 points!

Answers

The easiest way is to graph it based upon the slope (m) and y-intercept (b), in the standard slope-intercept form: y = m (x) + b.
The line above intercepts the y-axis at y = -2, which is b. The slope (m) = rise/run = (y2-y1)/(x2-x1 ); so for the point (-4, 2) to (-6, 4) is:
(4-2)/(-6--4) = 2/(-6+4) = 2/-2 = -1.
So one form of the equation would be:
y = -1x - 2
Now the other form of an equation is point-slope: y-k = m (x-h), where the point is at (h, k)
and if we pick -5 for x (bc 5 it listed in 3 of the answers), the y at x=-5 looks like around +3
so we get: y-k = -1 (x--5)...
y-3 = -(x+5)... therefore D) is the correct answer:

What are two solutions of 3 + 4 |x/2 + 3| = 11?

Answers

3 + 4abs(x/2 + 3) = 11 Subtract 3
4 abs(x/2 + 3) = 11 - 3
4 abs(x/2 + 3) = 8 Divide by 4
abs(x/2 + 3) = 8/4
abs(x/2 + 3) = 2

Solution 1
x/2 + 3 = 2 Subtract 3
x/2 = 2 - 3
x/2 = - 1 Multiply by 2
x/2 *2 = - 2
x = - 2

Solution 2
x/2 + 3 = - 2
x/2 = - 2 - 3
x/2 = - 5 Multiply by 2
x = -5 * 2
x = -10

Solutions
x = - 2 <<<< answer 1
x = -10 <<<< answer 2

Carlos has $690,000 he wants to save. If the FDIC insurance limit per depositor, per banks will guarantee that all of his money is insured?

Answers

question incomplete. If the limit is 250k. The Answer is 230k bank A, 240K bank b and 220k bank c.

Answer:

D. $230,000 in bank A, $240,000 in bank B, $220,000 in bank C

Step-by-step explanation:

Carlos has $690,000 he wants to save. If the FDIC insurance limit per depositor, per banks will guarantee that all of his money is insured?

A. $200,000 in bank A, $200,000 in bank B, $290,000 in bank C

B. $200,000 in bank A, $220,000 in bank B, $270,000 in bank C

C. $230,000 in bank A, $260,000 in bank B, $200,000 in bank C

D. $230,000 in bank A, $240,000 in bank B, $220,000 in bank C

2(3x+4)-5(1-2x)=7(2x-3)+12 in stages

Answers

Stage 1: SIMPLIFY
6x+8-5+10x = 14x - 21 + 12

Stage 2: COMBINE LIKE TERMS
16x + 3 = 14x - 9

Stage 3: SOLVE
2x = -12
x = -6

Hope this helps!

I guess you wan to find the value of x
LHS= 2(3x+4)-5(1-2x) = 6x+8 -(5-10x)
= 6x+8+10x-5 =16x +3
RHS= 7(2x-3)+12 = 14x-21+12=14x -9
since LHS=RHS
16x+3=14x-9 (by subtracting 14x from both sides)
2x +3 = -9 (by subtracting 3 from both sides)
2x =-12 (divide both sides by 2)
x = -6

Note:
please describe your problem with adding comments on your requirements.

Two parallel lines are _____ coplanar.

never

sometimes

always

Two lines that lie in parallel planes are _____ parallel.

sometimes

always

never

Please explain the answers, I want to understand this better.

Answers

Answer:

1. always

2. sometimes

Step-by-step explanation:

Two lines are coplanar if they lie in the same plane or in parallel planes. There is ALWAYS a plane which contains two parallel lines (see first attached image for details).

Two lines that lie in parallel planes are sometimes parallel. For example, see at second image. Planes [tex]\alpha[/tex] and [tex]\beta[/tex] are parallel. Consider pair of lines [tex]a[/tex] and [tex]a_1[/tex] - they are parallel, but if you consider the pair of lines [tex]a[/tex] and [tex]b_1[/tex], you can see they are not parallel.

Answer:

always

sometimes

Step-by-step explanation:

By definition parallel lines are lines in a plane which do not meet, that means, they have to be coplanar. Coplanar means they are included in the same plane. Then, two parallel lines are always coplanar (imagine two parallel lines in a 3d space, there is always a plane that can contain them).

Two lines that lie in parallel planes are sometimes parallel. As stated before, if there is a third plane which contains the two lines, they can be parallel or cannot, but if there is no plane which contains them, they are not parallel.

If PQRS is a parallelogram, what is the value of Y

Answers

To find the value of y all you have to do is set side RQ and SP equal to each other because opposite sides of a parallelogram are congruent.

RQ = SP
1/4 y = 13

Now you will multiply the reciprocal of 1/4 on both sides.

4(1/4 y) = (13)4
y = 52.

So the answer is option C.

The value of y is equal to 52. The correct option is C.

What is a parallelogram?

A parallelogram is a quadrilateral having four sides and the two opposite sides are equal and parallel to each other.

To find the value of y all you have to do is set side RQ and SP equal to each other because opposite sides of a parallelogram are congruent.

RQ = SP

1/4 y = 13

Now you will multiply the reciprocal of 1/4 on both sides.

4(1/4 y) = (13)4

y = 52.

Hence, the answer is option C.

To know more about parallelogram follow

https://brainly.com/question/970600

#SPJ5

PLS HELP QUICKLY :V) Anna brings her granddaughter to a photo studio to take spring pictures. For the picture, they have a choice of a background scene, a toy prop, and an outfit. The studio has 12 different background scene, 36 toy props, and 15 outfits to choose from.

How many possible outcomes of a background scene, a toy prop, and an outfit does Anna have?

Answers

to figure out how many different possibilities there are in total, you need to multiply all the numbers together. 36*12*15=6840

so there are 6840 possibilities, and to get a single one of these, the probability is 1/6840

To calculate the total number of possible outcomes for the photo shoot, you multiply the number of background scenes (12), toy props (36), and outfits (15), which results in 6,480 possible combinations.

The question posed involves determining the number of possible combinations of a background scene, a toy prop, and an outfit in a photo studio with a set number of each option available. To find the total number of possible outcomes, one should multiply the number of choices for each category together. In this case, Anna has 12 different background scenes, 36 toy props, and 15 outfits to choose from.

Therefore, the calculation is as follows:

Number of background scenes: 12

Number of toy props: 36

Number of outfits: 15

By multiplying these numbers, we determine the total number of possible outcomes:

12 (backgrounds) times 36 (props) times 15 (outfits) = 6,480 possible outcomes.

A platform has a volume of 135 cubic feet, but the concrete Joey wants to buy is sold by the cubic yard.

Answers

Not sure exactly what you're asking here, it probably cut you off and wouldn't let you type any more but I think the answer is that he needs to get a third of his original amount he was planning on buying, making it evened up to being 135 cubic feet.

The number of cubic yards of concrete does Joey need to buy is 5 cubic yards.

What is metric conversion?

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Given that, a platform has a volume of 135 cubic feet.

One cubic yard is equal to 27 cubic feet.

Now, number of cubic yards

= 135/27

= 5 cubic yards

Therefore, the number of cubic yards of concrete does Joey need to buy is 5 cubic yards.

To learn more about the metric conversion visit:

brainly.com/question/21244256.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

A platform has a volume of 135 cubic feet, but the concrete Joey wants to buy is sold by the cubic yard.

How many cubic yards of concrete does Joey need to buy?

Simplify these 12 radicals:
1) √80 2) √64
3) √45 4) √54
5) √32 6) √36
7) √150 8) √20
9) √180 10) √72
11) √8 12) √50

Answers

1)
[tex]4 \sqrt{5} [/tex]
2)
[tex]8[/tex]
3)
[tex]3 \sqrt{5} [/tex]
4)
[tex]3 \sqrt{6} [/tex]
5)
[tex]4 \sqrt{2} [/tex]
6)
[tex]6[/tex]
7)
[tex]5 \sqrt{6} [/tex]

8)
[tex]2 \sqrt{5} [/tex]
9)
[tex]6 \sqrt{5} [/tex]
10)
[tex]6 \sqrt{2} [/tex]
11)
[tex]2 \sqrt{2} [/tex]
12)
[tex]5 \sqrt{2} [/tex]

Calculate the difference 12.0875 – 7.50 using significant digits.

A. 4.5
B. 4.587
C. 4.59
D. 4.6

Answers

the answer is B, 4.5875.

Answer:

The answer should be C.4.59.

If cos thetha =-0.96 and (sec thetha)(sin thetha)>0 find the value of tan thetha

Answers

cos(theta)=-0.96 <0
=>
theta is either in the 2nd or third quadrant.

cos(theta)=-0.96
=>
sec(theta)=1/cos(theta)=-1/0.96 <0

Given sec(theta)(sin(theta)>0
=> cos(theta)sin(theta)>0
=> cos(theta) and sin(theta) have the same sign,
=> sin(theta)<0
=>
theta is in the third quadrant. => tan(theta)>0

Given cos(theta)=-0.96
=>
|sin(theta)|=sqrt(1-(-0.96)^2)=sqrt(0.0784)=0.28
=> sin(theta)=-0.28

Finally,
tan(theta)=sin(theta)/cos(theta)=-0.28/-0.96
=7/24
=0.29167 (to the fifth decimal place)

What is 22+6\3= because i have it in my homework i need do know

Answers

the answer is 24. to get this answer you would follow PEMDAS which means you divide first.

6 ÷ 3 =2 , so 22 + 2= 24

hopefully this helps

The answer you are looking for is 24

If a force of 60 N is exerted on a 15 kg object, calculate the acceleration that the object undergoes. ________ m/s2 4 900 0.25 40

Answers

F=m•a
Then:
a=F/m
a=60/15=4 m/s²

Answer: The correct option is

(A) 4 m/s.

Step-by-step explanation: We are given that a force of 60 N is exerted on a 15 kg object.

We are to calculate the acceleration that the object undergoes.

From Newton's second law of motion, we have

[tex]F=ma,[/tex] where m is the mass of the object, a is the acceleration and F is the force exerted.

For the given object, we have

F = 60 N and m = 15 kg.

So, we get

[tex]F=ma\\\\\Rightarrow 60=15\times a\\\\\Rightarrow a=\dfrac{60}{15}\\\\\Rightarrow a=4.[/tex]

Thus, the required acceleration that the object undergoes is 4 m/sec.

Option (A) is CORRECT.

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