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lord [1]
2 years ago
8

Find the missing side in the similar figures below

Mathematics
1 answer:
Lerok [7]2 years ago
5 0

Answer:

a. 28.8

Step-by-step explanation:

Using the theorem of similarity, the following equation can be generated:

\frac{x}{12} = \frac{25 + 35}{25}

Solve for x

\frac{x}{12} = \frac{60}{25}

Cross multiply

x*25 = 60*12

25x = 720

Divide both sides by 25

x = 28.8

You might be interested in
Deidre is picking out some movies to rent, and she is primarily interested in documentaries and children's movies. She has narro
exis [7]

Answer: 6630

Step-by-step explanation:

Given , Number of documentaries = 17

Number of children's movies = 20

Total movies = 17+20=37

Number of combinations of r things taken out of things = ^nC_r=\dfrac{n!}{r!(n-r)!}

Now, the number of different combinations of 3 movies can she rent if she wants at least one documentary

= (1 documentary+2 children's movies  , 2 documentary+1 children's movies , 3 documentary+0 children's movies)

=^{17}C_1\times^{20}C_{2}+^{17}C_2\times^{20}C_{1}+^{17}C_3\times^{20}C_{0}

=(17)\times\dfrac{20!}{2!18!}+\dfrac{17!}{2!15!}\times(20)+\dfrac{17!}{3!14!}(1)\\\\=3230+2720+680=6630

Hence, the  number of different combinations of 3 movies can she rent if she wants at least one documentary is 6630 .

3 0
3 years ago
Anyone wanna help???
OLEGan [10]

Answer:

its probably the first 1

8 0
3 years ago
Read 2 more answers
Please help me find the answer fo this!!
Pepsi [2]

Answer:

÷3==533740£; ok8iejeoeoeo

7 0
3 years ago
A tax assessor wants to assess the mean property tax bill for all homeowners in a certain state. From a survey ten years ago, a
Jet001 [13]

Answer:

The answer is below

Step-by-step explanation:

From the table, the mean (μ) = 1390.75 and the standard deviation (σ) = 518.75

The confidence level (C) = 90% = 0.9

α = 1 - C = 1 - 0.9 = 0.1

α/2 = 0.1 / 2 = 0.05

The z score of α/2 (0.05) is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.645.

The margin of error (E) is given as:

E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} }  \\\\E=1.645*\frac{518.75}{\sqrt{14} } =228.07

The confidence interval = μ ± E = 1390.75 ± 228.07 = (1162.68, 1618.82)

The confidence interval is between 1162.68 and 1618.82.

7 0
3 years ago
suppose Q is the midpoint of PR. use the information to find the missing value. PQ equals 3x + 14 and QR equals 7X - 10; find X.
NARA [144]

Answer:

x=6

Step-by-step explanation:

A midpoint is the middle point of a line segment, therefore it is equal distances from both ends of the segment.

This means that PQ and QR have the same length. So all we have to do is set each value equal to each other, and then solve for X.

3x+14=7x-10\\3x+24=7x\\24-4x\\x=6

4 0
3 years ago
Read 2 more answers
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