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3 years ago

Given that the two figures are similar, use a scale factor to find the missing length x.

Mathematics

1 answer:

Zina [86]3 years ago

6 0

Answer:

Step-by-step explanation:

Corresponding sides are the key here. If the figures are similar then their corresponding sides exist in proportion to one another. Again, corresponding is key when you're trying to find the missing side length. Set it up as a proportion:

$\frac{18}{22}=\frac{81}{x}$ and now all you do is cross multiply:

18x = 1782 so

x = 99

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How much money will you have at the end of 5 years?

Ronch [10]

Answer:

54545.4545455

Step-by-step explanation:

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3 years ago

In order to circumscribe a circle on a triangle, which line must you construct?

GalinKa [24]

We need to construct the perpendicular bisectors of at least two of the three sides.

The perpendicular bisector is the locus of points that ensures equal distance between any point on the line and the two ends of the segment.

The intersection of the two or three (congruent) perpendicular bisectors is the centre of the circumcircle.

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4 years ago

Deal Finder is sorting its production supply of long-sleeve shirts. They have 1,089 long-sleeve shirts. The first 266 are donate

miskamm [114]

Answer:

274 long sleeved shirts

Step-by-step explanation:

Deal Finder is sorting its production supply of long-sleeve shirts. They have 1,089 long-sleeve shirts. The first 266 are donated.

The amount of long sleeved shirt left after donation is calculated as:

1089 long sleeved shirts - 266 long sleeved shirts

= 823 long sleeved shirts left.

The rest are split up to be shipped to 3 stores. What fraction represents how many long-sleeve shirts each store will receive?

The amount of long sleeved shirts each store would receive is calculated as:

823 long sleeved shirts /3 stores

= 274 2/3 long sleeved shirts

A shirt is a whole number 1 and can't be in Fraction.

Therefore, each store would receive 274 long sleeved shirts

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3 years ago

5/6 d = -15? I don't understand

Dahasolnce [82]

.

$\frac{5}{6} d = - 15$
First you have to simplify 5/6d to 5d/6 as shown below
$\frac{5}{6} d = \frac{5d}{6}$
Then multiple both sides by 6 because you are trying to solve for d
$5d = - 15 \times 6$
Multiply -15 and 6 to get -90
$5d = - 90$
Divide -90 by 5
$d = \frac{ - 90}{5}$
$d = - 18$
Then if you check it, it will give you -15 as your answer
$\frac{5}{6} \times - 18 = - 15$
$\frac{5 \times - 18}{6} = - 15$
$\frac{ - 90}{6} = - 15$
$- 15 = - 15$

7 0

4 years ago

Select all the sequences of transformations that always maintain congruence. a reflection and then a translation a translation a

oee [108]

A reflection followed by translation, a translation followed by rotation, and a rotation followed by reflection all preserve congruence.

Anything that changes the size of the figure does not preserve congruence. The other three choices all have a dilation in them; a dilation changes the size of a figure. Therefore it does not preserve congruence.

6 0

3 years ago