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Elan Coil [88]
2 years ago
10

Triangle ABC = Triangle ADF, AD = 18, BC = 17, DF= [?]

Mathematics
1 answer:
snow_lady [41]2 years ago
5 0

The value of the length DF is 17

<h3>How to determine the length DF?</h3>

The statement Triangle ABC = Triangle ADF means that the triangles ABC and ADF are congruent triangles.

So, we have:

AB = AD

AC = A F

BC = DF

Given that BC = 17;

The equation BC = DF becomes

17 = DF

Rewrite as:

DF = 17

Hence, the value of the length DF is 17

Read more about congruent triangles at:

brainly.com/question/1675117

#SPJ1

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The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a
patriot [66]

Answer:

Step-by-step explanation:

Hello!

Your study variable is X: "number of ColorSmart-5000 that didn't need repairs after 5 years of use, in a sample of 390"

X~Bi (n;ρ)

ρ: population proportion of ColorSmart-5000 that didn't need repairs after 5 years of use. ρ = 0.95

n= 390

x= 303

sample proportion ^ρ: x/n = 303/390 = 0.776 ≅ 0.78

Applying the Central Limit Theorem you approximate the distribution of the sample proportion to normal to obtain the statistic to use.

You are asked to estimate the population proportion of televisions that didn't require repairs with a confidence interval, the formula is:

^ρ±Z_{1-\alpha /2}* √[(^ρ(1-^ρ))/n]

Z_{1-\alpha /2} = Z_{0.995} = 2.58

0.78±2.58* √[(0.78(1-0.78))/390]

0.0541

[0.726;0.834]

With a confidence level of 99% you'd expect that the interval [0.726;0.834] contains the true value of the proportion of ColorSmart-5000 that didn't need repairs after 5 years of use.

I hope it helps!

7 0
3 years ago
your friends says that an exterior angle can never be complementary to any of the interior angles in a triangle?
rusak2 [61]
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6 0
3 years ago
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(5a^2+6a+2)-(7a^2-7a-5)
krok68 [10]

For this case we must simplify the following expression:(5a^ 2 + 6a + 2) - (7a^ 2-7a-5) =

We eliminate the parentheses taking into account that:

- * + = -\\- * - = +

So:

5a ^ 2 + 6a + 2-7a ^ 2 + 7a + 5 =

We add similar terms taking into account that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

5a ^ 2-7a^2 + 6a + 7a +2 +5 =\\-2a ^ 2 + 13a + 7

Answer:

-2a ^ 2 + 13a + 7

8 0
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joja [24]

Answer:

180.975 square feet

Step-by-step explanation:

est: 181 square feet

4 0
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The cost to rent a bike is $8 per hour plus a 24$ flat fee if your final bill was $48 how many hours did you rent a scooter for?
Luda [366]
The scooter was rented for 3 hours
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