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anzhelika [568]
3 years ago
11

Show that the triangles are similar by comparing the ratios of the corresponding sides. Simplify your answer completely in order

to be able to compare the ratios of the corresponding sides. Please help

Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer/Step-by-step explanation:

AC = 1.2

AB = 4

BC = 2.6

DF = 3

DE = 10

EF = 6.5

Thus:

\frac{DE}{AB} = \frac{10}{4} = \frac{5}{2}

\frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2}

\frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2}

The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.

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Solve the systems of equations by substitution<br> 3/8x + 1/3y = 17/24<br> X + 7y = 8
Sedaia [141]

Answer:

If your solving for y...

The answer would be: y = -9/8x + 17/8 I believe.

For the second one... it would be : y = -1/7x + 8/7

Step-by-step explanation:

8 0
3 years ago
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A clothing store offers customers a holiday sale of 20% off the price of x items. A customer then has an additional 15% off coup
aleksandr82 [10.1K]

Finding the equivalent multiplier, it is found that the function for the final price is:

P(x) = 0.68x.

-------------------------------------------

  • There is a holiday sale of 20% off the price of x, thus 0.8x is paid, as 1 - 0.2 = 0.8.
  • Additionally, there is a coupon of 15% off, thus, 0.85 of 0.8x is paid.
  • The equivalent multiplier is:

0.85(0.8) = 0.68

  • Thus, the function for the final price is:

P(x) = 0.68x

A similar problem is given at brainly.com/question/16999193

8 0
2 years ago
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A researcher found a study relating the value of a car, y, to the age of the car, x. When researchers looked at the association
vredina [299]

Answer: c) About 16% of the variation in value of the car is explained by a linear relationship with the age of the car.

e) The correlation coefficient, r, is 0.397.

Step-by-step explanation:

Given that:

Coefficient of determination (r²) between two variables, age of car (x) and value of car (y) = 0.158

Correlation of determination (r²) of 0.158 = (0.158 × 100% = 15.8% of the variation between the two variables can be explained by the regression line). Hence, about 16% of the variation between age and value of car can be explained by the linear relationship.

Coefficient of correlation (r) = sqrt(r²) = sqrt(0.158) = 0.397

8 0
4 years ago
How long was the movie
Nikitich [7]
A. 2 hours and 25 minutes
4 0
3 years ago
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What is the domain and range of each function graohed below?
andriy [413]
Domain is the x values you can use
range is the y values



a.
the domain
hmm, seems to be all real numbers except for at x=0, it gets really close tho
so D=(-∞,0)U(0,∞)

range is all real numbers except for y=0, it gets really close tho
R=(-∞,0)U(0,∞)



b.
domain
that empty circle means something like < or >
goes from 5 to 6, not including 5
so domain is D=(5,6]

range is from -4 to 2, not including -4
range is R=(-4,2]
5 0
3 years ago
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