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Allisa [31]
3 years ago
9

ΔABC and ΔXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of

each triangle.

Mathematics
1 answer:
Norma-Jean [14]3 years ago
4 0

Answer:

b=9

x=5.5

Step-by-step explanation:

find the common ration

AB is 6, and XY is 3 (they are the corresponding sides)

ratio is 2 to 1 (6/3=2/1)

AC corresponds with YZ

XY is 4.5 so b is 4.5*2=9

ZY corresponds with CB

CB is 11, since XYZ is the smaller divide by 2 instead of multiplying by 2

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The softball team stopped for ice cream after a big game. five 2-scoop cones cost the same as three sundaes. If they bought nine
Savatey [412]
<span>Let the cost of 2-scoop cones be x, and the cost of sundaes be y.
The first statement tells us that 5x = 3y
The second statement tells us that 9x + 6y = 19.95
Then we need to calculate the value of y (the cost of a sundae).
From our first equation, y = 5x/3. Substituting this into the second equation:
9x + 6(5x/3) = 19.95
9x + 10x = 19.95
19x = 19.95
x = 1.05
Substituting back into the first equation: 5(1.05) = 3y
5.25 = 3y
y = 1.75
Therefore the cost of a sundae is $1.75.
</span>
3 0
3 years ago
You can buy 5 cans for green beans at the Village Markets for $3.70. You can buy 10 of the same cans of beans at Sam’s Club for
mihalych1998 [28]

The place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.

<h3>Unit rate</h3>

Village market:

  • Green beans = 5 cans
  • Total cost = $3.70

Unit rate = Total cost / green beans

= 3.70 / 5

= $0.74 per can

Sam's club:

  • Green beans = 10 cans
  • Total cost = $5.90

Unit rate = Total cost / green beans

= 5.90/10

= $0.59 per can

Therefore, the place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.

Learn more about unit rate:

brainly.com/question/4895463

#SPJ1

6 0
1 year ago
Solve each inequality. Graph the solution. *you must draw your graph on your work p-
V125BC [204]
54/2 or 27 should be the answer
3 0
3 years ago
A new online music service has a collection of 1,500 songs. It expects to triple the number of songs each year for the next few
Rzqust [24]

Answer: y = (3^(x-1))*1500

Step-by-step explanation:

We want the relationship

y = f(x)

where y is the number of songs, and x is the number of years.

We know that in the first year, x = 1, the site has 1,500 songs.

The next year, x = 2, the number of songs is tripled, then we will have:

1,500*3 = 4500 songs.

The next year, x = 3, we will have: 3*(3*1500) = (3^2)*1500.

when x = 4, the number is tripled again:

3*(3^2)*1500 = (3^3)*1500

We already can see the pattern, for the year x, the site will have:

y = (3^(x-1))*1500 songs.

This is the equation we are looking for.

7 0
3 years ago
A bag contains 4 white beads, 6 red beads, and 5 yellow beads. One bead is selected and not replaced. Then another bead is selec
lara31 [8.8K]

Answer:

\frac{24}{210}

Step-by-step explanation:

Add them all up 15 if one is taken out and no replaced OR put back in, then the second draw will have 14 beads.

4 x 6 = 24

15 x 14 = 210

7 0
3 years ago
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