Mathematics College

Find the value of x

A. 20
B. 28
C. 10
D. 50/7

Answers

Answer 1

Answer:

x=28

Step-by-step explanation:

Step 1, comparing triangles:

Let us look at $\triangle ABC$ and $\triangle ADE$.

They both share $\angle A$ ($\angle A=\angle A$)$\angle ABC = \angle BDE$ (Corresponding Angle Theorem)$\angle ACB = \angle CED$ (Corresponding Angle Theorem)

Therefore, because of AAA (Angle Angle Angle), $\triangle ABC$ and $\triangle ADE$ are similar.

Step 2:

Because the two triangles are similar, their sides should be proportional. Notice that $\overline{AB}$ and $\overline {AD}$ should be proportional.

Therefore, $\overline{AB}$: $\overline {AD}$ =

$12:30+12=\\12:42=\\2:7$

(Note, $\overline {AD}$ = $\overline{AB}$+ $\overline{BD}$=12+30)

Step 3:

We figured out that $\triangle ABC$ and $\triangle ADE$ have proportional sides of 2:7. Therefore, $\overline{BC}$ and $\overline{DE}$ should also have a ratio of 2:7.

$8: \overline{DE}=2:7\\8:\overline{DE}=8:28\\\overline{DE}=\fbox{28}$

x=28

I hope this helps! Let me know if you have any questions :)

Answer 2

Answer:

x = 20

Step-by-step explanation:

If we look at the given diagram, we will see that ΔABC and ΔADE are similar. Because they a similar we know that corresponding sides are in proportion. In order to solve this question, we need to know what the coefficient of similarity is.

AB and AD are corresponding sides, in order to get from 12 to 30 we need to multiple 12 by 2.5. That means that the coefficient of similarity between the two triangles is 2.5. To get x (length of DE) we need to multiply the length of BC by the coefficient of similarity. And so we get...

x = 2.5(BC)

x = 2.5(8)

x = 20

Related Questions

If to DEF?
A 23
B. 16°
C. 32°
D. 58°

Answers

The calculated measure of the angle D is (c) 32 degrees

How to determine the measure of the angle

From the question, we have the following parameters that can be used in our computation:

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

Answers

Answer: 7,210,000

Step-by-step explanation:

Val's whole-house central air conditioner uses 2,500 watts when running. Val runs the AC 5 hours per summer day. Electricity costs (12 cents)/(1 kilowatt-hour). How much does Val's AC cost to run for a summer month of 30 days?

Answers

The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Quantity of electricity used in kilowatts is;

1000 watts = 1 kilowatts

2,500 watts = 2.5 kilowatts

Given that Number of hours Val runs AC per day = 5 hours

Number of days = 30 days

Cost of electricity = $0.18 kilowatts per hour

The Cost of Val’s AC to run for a summer month of 30 days can be calculated as;

= Quantity of electricity used × Number of hours Val runs AC per day × Number of days × Cost of electricity

= 2.5 × 5 × 30 × 0.18

= $67.5

The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.

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m∠A+ m∠B = ? How do you know this?

Answers

Answer:

Step-by-step explanation:

If m∠A + m∠B = m∠B + m∠C, subtract m∠B from both sides [ subtraction property of equality ].

We get that m∠A = m∠C and by the symmetric property of equality, m∠C = m∠A

How many ways can 12 DVDs be arranged on a shelf?
.

Answers

Answer:

12!

Step-by-step explanation:

А=12*11*10*9*8*7*6*5*4*3*2*1=12!=479001600

Find the distance between the two points in simplest radical form.
(3,7) and (9,9)

Answers

Answer:

The answer is

$2 \sqrt{10} \: \: units$

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ $

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3,7) and (9,9)

The distance between them is

$d = \sqrt{ ({3 - 9})^{2} + ({7 - 9})^{2} } \\ = \sqrt{ ({ - 6})^{2} + ({ - 2})^{2} } \\ = \sqrt{36 + 4} \\ = \sqrt{40} $

We have the final answer as

$2 \sqrt{10} \: \: units$

Hope this helps you

2. Troy had 3/8 of a pizza left over from his party. He ate 3/4 of the leftover pizza for breakfast. How much of the
whole pizza did Troy have at breakfast?

3. 3/5 of a bag of coffee weighs 6/7 pound. How much does a whole bag of coffee weigh?

Answers

The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds

A fraction is defined as a part of a whole quantity.

1. Leftover pizza = 3/8

Pizza used as breakfast = 3/4 of left-over pizza

= 3/4 of 3/8

The of is calculated by the use of multiplication

The fractions are multiplied as follows:

The numerators of the fractions are multiplied and written as the numerator.The product of the denominators is written as the denominator.Then we simplify the given fraction to get the final result.

Pizza used as breakfast = 3/4 * 3/8

= 3 * 3 / 4 * 8

= 9/32

2. 3/5 of bag of coffee weighs = 6/7 pounds

1 bag of coffee weighs = 6/7 ÷ 3/5

The fractions are divided as follows:

The fraction to be divided is reciprocatedThe numerators of the fractions are multiplied and written as the numerator.The product of the denominators is written as the denominator.Then we simplify the given fraction to get the final result.

Thus, = 6/7 * 5/3

= 6 * 5 / 7 * 3

= 30/21

= 10/7 pounds

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8. How much more did Amelia
spend on breakfast than
Stephanie?

Answers

Maybe 10 dollars more

I need help! Please no link answer :(

Answers

Answer:

B. 30

Step-by-step explanation:

Given.:

m<4 = 2x°

m<5 = 4x°

Required:

Value of x

Solution:

<4 and <5 are angles in a straight line, therefore:

m<4 + m<5 = 180°

Substitute

2x + 4x = 180°

6x = 180°

x = 180/60

x = 30

math math math math math math math

Answers

The angle m∠JIX is 90 degrees.

How to find angles in line intersection?

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is estimated to be 90⁰.

How to find the angles?

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But; m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Tickets to a movie cost $7 for adults and $5 for students . A group of friends purchased 8 tickets for $52, write a system of equations to represent this situation

Answers

7 x 6 = $52
there will be no kids attending haha.

Graph f(x)=2^x what is the answer?

Answers

Graph is in attached image.

Find the area of the polygon with the given vertices.
G(2,2) H(3,-1) J(-2,-1)

Answers

Hypotenuse and the x where is ur graph?

What is 30x2? Id love to know

Answers

30 x 2 is 60

The easiest way to do multiplication is to add the number to itself by the number your multiplying it by.

So if your multiplying 30 by 2 you just need to add 30 to itself twice so it's

30 + 30

Which also gives you the same answer

The variables y and x have a proportional relationship, and y=24 when x=16 what is the value of x when y=36

Answers

When y = 36 the value of x is 24.

What is Proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.

As per the given data:

y and x have a proportional relationship:

Consider: y = ax ...(i) {where a is a constant}.

y = 24 when x = 16

Substituting in eq (i)

24 = a × 16

a = (24/16) = 1.5

For value of x when y = 36

y = 1.5x

36 = 1.5x

x = (36/1.5) = 24

x = 24

The value of x is 24

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Raina drove 464 miles in 8 hours.
At the same rate, how long would it take her to drive 638 miles?
0 hours
X
S

Answers

s= d/t
s= 464/8 = 58mi/hr
t = d/s
= 638/58 = 11 hours

A committee of four people is formed by selecting members from a list of 12 people.
How many different committees can be formed?

__ committees

Answers

The number of different committees that can be formed is 495

How many different committees can be formed?

From the question, we have the following parameters that can be used in our computation:

People = 12

Committee = 4

These can be represented as

n = 12 and r = 4

The number of different committees that can be formed is

Number = nCr

So, we have

Number = 12C4

Evaluate

Number = 495

Hence, the committee are 495

Answers

At 15:00 Bus B will pass Bus A.

What is relative speed ?

The relative speed is the net speed difference.

When they travel at same direction we subtract their speeds to get relative speed.
when they travel in the opposite direction we add their speeds to get their relative speed.

In the given question

The time difference between Bus A and Bus B is 2 hours In that two Hours Bus A will travel ( 2 x 50 ) km

= 100 km

The relative speed difference between Bus A and Bus B is (70 - 50)km/hr

= 20 km/hr

To catch Bus A , Bus B will need (100/20)hrs

= 5 hrs

So, Bus B left at 10:00 after 5 hrs it will be 15:00.

At 15:00 Bus B will pass Bus A.

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Solve the following system of equations:

−2x + y = 1
−4x + y = −1

(3, 1)
(−1, 3)
(−1, −3)
(1, 3)

Answers

Answer:

(1,3)

Step-by-step explanation:

$\sf Answer\begin{cases} \sf \rightarrowtail \: - 2x + y = 1 \dots(1) \\ \sf \rightarrowtail \: - 4x + y = - 1 \dots(2) \\ \sf 2 \times (1) \implies - 4x + 2y = 2 \\ \sf 1 \times (2) \implies - 4x + y = - 1 \\ \bf \star \: substracting \: both \\ \sf \rightarrowtail \: y = 3 \\ \sf \rightarrowtail \: -2x+(3)=1 \\ \sf \rightarrowtail \: -2x=-2 \\ \sf \rightarrowtail \: x=1\end{cases}$

What is the measure of the angle indicated?

ANSWER CHOICES

120 Degrees
155 Degrees
85 Degrees
60 Degrees

Answers

That angle is a centeral angle so it is the same measure as the bow in front of it which means it’s 120 degrees either.

PLEASEEEE HELPPP FASTTT !!!!!!!!!!!A driveway is built on an incline so that it rises 1.8m and goes up a diagonal distance of 34m. What is the angle between the ground the diagonal space? Complete and label the diagram for full marks and state a therefore statement.

Answers

Here is the diagram of the driveway:

/ | 1.8m

/ |

/θ |

/____| 34m

In the diagram, the horizontal line represents the ground, and the vertical line represents the rise of the driveway. The diagonal line represents the diagonal distance traveled along the driveway.

To find the angle θ between the ground and the diagonal space, we can use trigonometry. Specifically, we can use the sine function, as it relates the opposite side to the hypotenuse.

sin(θ) = opposite side / hypotenuse

In this case, the opposite side is the rise of the driveway (1.8m), and the hypotenuse is the diagonal distance (34m).

sin(θ) = 1.8m / 34m

To find the value of θ, we need to take the inverse sine (arcsine) of both sides:

θ = arcsin(1.8m / 34m)

Using a calculator, we can find the value of θ:

θ ≈ 3.10 degrees

Therefore, the angle between the ground and the diagonal space of the driveway is approximately 3.10 degrees.

Therefore, the statement would be: The angle between the ground and the diagonal space of the driveway is approximately 3.10 degrees.

An industrial factory make 2 ¾ yards of chain every minute. The cost of each yard of chain is $4.56. What is the total cost for all chain produced in 20 minutes?

A. $12.54
B. $55.00
C. $250.80
D. $136.80

Answers

D hope this help have a good day

The answer is C. $250.80

An industrial factory make 2 yards of chain every minute. The cost of each yard of chain is $4.56. What

Find the value of (f o g)' at the given value.

Answers

To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.

To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.

What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).

What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.

To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value

step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)

Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)

Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11

Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)

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Find the slope and the y-intercept of the line
y=-2x+8

Answers

Answer:

Slope: -2 and Y-int: 8

Step-by-step explanation:

The slope is -2 and the y intercept is 8. I think this is it I’m a little rusty

find the exact value of Sin A

Answers

Step-by-step explanation:

sin A = opposite/ Hypotenuse

Sin A = 5/7

Hello !

sin(A) = opposite/hypotenuse = 5/7

arcsin(5/7) ≈ 45,58°

sin(A) = 5/7

the angle A ≈ 45,58°

Julian is wrapping a birthday present for his sister. He starts with 2 yards of ribbon. Then, he cuts off 9 inches to decorate the present. How many inches of ribbon does he have left now?
inches

Answers

Answer:

63 inches

Step-by-step explanation:

1 yard = 36 inches

2 yards = 72 inches

72-9=63

63 would be the answer for this question.

I really need help with this.

Answers

9514 1404 393

Answer:

72, 96

Step-by-step explanation:

6 and 8 are already multiples of 2. The prime factorization of these numbers is ...

6 = 2×3

8 = 2³

The least common multiple of these numbers must have factors of 2³ and 3. That number is ...

2³×3 = 24

Multiples of 24 less than 150 are ...

24, 48, 72, 96, 120, 144

Of these, the values in the range of interest are 72 and 96.

Ravi could choose 72 or 96.

_____

72 = 2×36 = 6×12 = 8×9

96 = 2×48 = 6×16 = 8×12

Is (7,-6) a solution to this system of equations?
y = 1/7x+ 7
X = 7
yes
no

Answers

The answer is no
If you want to get is
Y=mx+b
Y=1/7x+7
Y=1/7*7+7 Since x=7
Y=1+7 Compute 1/7*7
Y=8

The tomato plants in Ms. Lang's
garden grow 2 inches every 3 days. How much will they grow in 15 days?

Answers

Answer:

10 inches

Step-by-step explanation:

15 days/3 days =5

5 x 2 =10

What is 6 1/3 yards in feet with explication

Answers

Answer:

6 1/3 yards = 19 feet

Step-by-step explanation:

1 yard = 3 feet

So we'll take the number of yards and multiply that by 3

6 yards x 3 feet/yard = 18 feet

for the 1/3 of a yard, you can either ask, "what's 1/3 of 3?" (= 1) or you can multiply 1/3 yard x 3 feet/yard = 1 foot.

Add up the parts, 18 + 1 = 19 feet

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Find the value of x A. 20 B. 28 C. 10 D. 50/7

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Find the value of x

A. 20
B. 28
C. 10
D. 50/7