Solve for x. Enter your answer in the box. x = A triangle with vertices labeled as A, C, D. Side C D is the base and the top vertex is A. Side C D is parallel to B E. Side A E is labeled as 7x minus 40, side E D is labeled as 18, side C B is labeled as 15, and side A B is labeled as 25.

Answers

Answer 1
Answer:

Answer:

x = 10

Step-by-step explanation:

In ΔADC

EB // DC

∴ m∠AEB = m∠ADC ⇒ corresponding angles

∴m∠ABE = m∠ACD ⇒ corresponding angles

In the two triangles ADC , AEB

∵ m∠AEB = m∠ADC

∵ m∠ABE = m∠ACD

∵ ∠A is a common angle

∴ ΔADC similar to ΔAEB

∴ AE/AC = AB/AC

∵ AE = 7x - 40 , ED = 18

∴ AD = 7x - 40 + 18 = 7x - 22

∵ AB = 25 , BC = 15

∴ AC = 25 + 15 = 40

∴ (7x - 40)/(7x - 22) = 25/40 ⇒ use cross multiplication

∴ 40(7x - 40) = 25(7x - 22)

∴ 280x - 1600 = 175x - 550

∴ 280x - 175x = 1600 - 550

∴ 105x = 1050

∴ x = 1050 ÷ 105 = 10

Answer 2
Answer:

Answer:

10

Step-by-step explanation:

They said a whole lot of nothing so imma give the easier breakdown:

18/15=1.2
1.2x25=30
30+40 = 7x
7x = 70
x=10


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Answers

Answer:

I think they are asking the area of the triangle so we are going with that.

Step-by-step explanation:

Easiest way to do this is find the area of the incomplete square, and then cut that in half for the triangle.

so it is 4 cm wide

and 8 cm tall

length x width = area

8 x 4 = 32

32/2 = 16

So your answer should be 16 cm

Help APSPPP!!!!!!!!!!!!

Answers

Answer:

ok what u need help with

Step-by-step explanation:

For which x is f(x)?=-3
-7
-4
4
5

Answers

Answer:

B.

✔ -4

Step-by-step explanation:

E 2021

Final answer:

It is impossible to determine the value of x that would make f(x) equal to -3 without having the concrete function. Please provide the function so that we may further assist.

Explanation:

In this question, we want to find the value of x for which the function f(x) equals -3. However, without having the actual function, it is not possible to deduce the correct value. Normally, we would substitute the value of f(x) into the equation and solve for x. If you have a specific function, please provide it and we can help you solve for the x which makes the function equal to -3

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A company is giving gifts to its employees. Employees can choose a gift card, hat, or candy. The table shows the gift chosen by 150 employees. Type of Gift Number of EmployeesGift Card
90

Hat
10

Candy
50

Based on this data, about how many employees will choose a gift card if there are 600 employees choosing gifts?

Enter your answer in the box.

Answers

Answer:

360 Employees

Step-by-step explanation:

Number of employees who chose gift card / Number of total employees

= 90 / 150

Now, we have to figure out in x / 600 when the x represents the number of employees choosing gift card when there are 600 employees in total.

90 / 150, x / 600

-> cross multiply

54,000 = 150x

Therefore 360 = x.

another way:

(multiply the total number of employees in both ratios) 600 / 150 = 4

Now we multiply 4 by 90 (number of employees choosing gift card)

4*90 = 360

Final answer:

Based on the proportion of employees who chose a gift card in the provided data (60%), you could expect about 360 out of 600 employees to choose a gift card if the same proportion holds.

Explanation:

The given data details that out of 150 employees, 90 have chosen a gift card as a gift. This means that around 60% of the employees have chosen a gift card (90/150 = 0.6 or 60%). To determine how many out of 600 employees might choose a gift card, given the same proportion, one would need to multiply 600 by 60%.

Step 1: Calculate the proportion of employees that chose a gift card. This is 90 out of 150, or 90/150 = 0.6 (60%).

Step 2: Multiply the total number of employees by the proportion who chose a gift card. This is 600 * 0.6 = 360.

Therefore, you could reasonably expect that about 360 out of 600 employees might choose a gift card as their gift if the same proportion holds.

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B. 1/2 of 4/5 = ____ fifth(s)

Answers

Answer:

2 because of the way the question is written

2/5 if you get 2 wrong.

Step-by-step explanation:

1/2 * 4/5  of means multiply

numerator:  1*4 = 4

denominator = 2 * 5 = 10

Answer: 4 / 10 but this will reduce. Divide Top and Bottom by 2

4/2 = 2

10/2 = 5

Answer: 2/5

The way you should answer is 2 because the question gives you the fact that it is in 5ths. If you get it wrong then put in 2/5.  

The product of 3 and a number is the same as 24 less thrice that same number

Answers

Answer:

there is no such number

Step-by-step explanation:

our "number" will be represented by variable x

3x = 3x-24

isolating x

0x = -24

0 = -24

since this statement is false for all x, there is no such number x

Final answer:

The given condition does not have a solution.

Explanation:

In this question, we are asked to find a number that satisfies the given condition. Let's assume the number is 'x'. According to the given information, the product of 3 and the number 'x' is equal to 24 less than 3 times the number 'x'. We can write this as the equation 3x = 3x - 24. By subtracting 3x from both sides, we get 0 = -24. This means that there is no number that satisfies the given condition.

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