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Luda [366]
2 years ago
14

If triangles ABC and XYZ are similar, what is the length of side b?

Mathematics
1 answer:
Semmy [17]2 years ago
7 0
Length of side b = 12

By doing 15 / 10, we can find how much the right triangle has been reduced compared to the left triangle. So, it’s been reduced by 0.5

Because we’re trying to find side b which is on the larger (left) triangle, we do 8 x 1.5 which is 12
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4 people went to the movies. Each person spent $9.50 on a ticket and had the same amount of money leftover. They originally had
solong [7]

$2.50 was left for each person.

4(9.50) + x = 48

38 + x = 48

subtract 38 on both sides

x = 10

10$ was left in total by all 4 people

10/4 = 2.50

$2.50 was left over for each person

7 0
3 years ago
Find the exponential function that passes through the points (2,80) and (5,5120)​
juin [17]

Answer:

  y = 5·4^x

Step-by-step explanation:

If you have two points, (x1, y1) and (x2, y2), whose relationship can be described by the exponential function ...

  y = a·b^x

you can find the values of 'a' and 'b' as follows.

Substitute the given points:

  y1 = a·b^(x1)

  y2 = a·b^(x1)

Divide the second equation by the first:

  y2/y1 = ((ab^(x2))/(ab^(x1)) = b^(x2 -x1)

Take the inverse power (root):

  (y2/y1)^(1/(x2 -x1) = b

Use this value of 'b' to find 'a'. Here, we have solved the first equation for 'a'.

  a = y1/(b^(x1))

In summary:

  • b = (y2/y1)^(1/(x2 -x1))
  • a = y1·b^(-x1)

__

For the problem at hand, (x1, y1) = (2, 80) and (x2, y2) = (5, 5120).

  b = (5120/80)^(1/(5-2)) = ∛64 = 4

  a = 80·4^(-2) = 80/16 = 5

The exponential function is ...

  y = 5·4^x

3 0
2 years ago
Mrs. Pender shows her students 2 sticks measuring 6 inches and 2 sticks measuring 8 inches. She asks the students to arrange the
Llana [10]

Answer:

Reggies makes sence

Step-by-step explanation:

5 0
3 years ago
A house and a lot is appraised at $212,400. The value of the house is five times more the value of the lot. What is the house wo
Anuta_ua [19.1K]
The house is worth $177,000
the lot is worth $35,400
5 0
3 years ago
The value of 2x + 2y, for x = 7 and y = 3, is 50.<br><br> True<br> False
Lilit [14]
2x+2y =50
2(7)+ 2(3)=50
14+6 =50
20=/=50

This is false because when you substitute the variables with their numbers and then multiply and add, your answer does not equal 50
5 0
3 years ago
Read 2 more answers
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