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Dahasolnce [82]
2 years ago
8

In the figure, ΔABC~ΔADE. Find the length of line segment DE.

Mathematics
1 answer:
jeka942 years ago
5 0

Answer:

13

Step-by-step explanation:

\triangle ABC \sim \triangle ADE => \frac{x}{x+10}=\frac{x+3}{x+16}=>x^{2}+16x=x^{2}+13x+30=>3x=30=>x=10\\DE=x+3=>DE=13

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Jeremy bakes two pans of brownies that are the same size. One pan has nuts in it and the other pan does not. He cuts the pan wit
MAVERICK [17]

Answer:

The answer is "\frac{2}{8} > \frac{3}{16} So, they eat more brownies with nuts".

Step-by-step explanation:

In the given question, the two browny pans of equal size are baked by Jeremy. There is indeed a saucepan with nuts in it, not the other pan. He split the pot into eight equal chunks with nuts. He slices the pan into 16 equal parts without nuts. His mates eat 2 nuts brownies and three nut-free brownies. They eat more nuts and brownies \frac{2}{8} > \frac{3}{16} eat more.

5 0
2 years ago
To describe a specific arithmetic sequence, Elijah wrote the recursive formula:
Rufina [12.5K]

Answer:

Y(n) = 7n + 23

Step-by-step explanation:

Given:

f(0) = 30

f(n+1) = f(n) + 7

For n=0 : f(1) = f(0) + 7

For n=1 :  f(2) = f(1) + 7

For n=2 : f(3) = f(2) + 7 and so on.

Hence the sequence is an arithmetic progression with common difference 7 and first term 30.

We have to find a general equation representing the terms of the sequence.

General term of an arithmetic progression is:

T(n) = a + (n-1)d

Here a = 30 and d = 7

Y(n) = 30 + 7(n-1) = 7n + 23

7 0
3 years ago
Anthony has a points card for a movie theater. He receives 85 rewards points just for signing up. • He earns 2.5 points for each
ArbitrLikvidat [17]

Equation: 2.5x + 85 = 100

Answer: x = 6

8 0
3 years ago
Read 2 more answers
Consider random samples of size 80 drawn from population A with proportion 0.48 and random samples of size 66 drawn from populat
gogolik [260]

Answer:

Standard error = 0.070

Step-by-step explanation:

Formula for the standard error of the distribution of differences in sample proportions is;

σ_(A - B) = √((p_a^(1 - p_a^)/n_a) + (p_b^(1 - p_b^)/n_b))

We are given;

p_a^ = 0.48

n_a = 80

p_b^ = 0.13

n_b = 66

Thus;

σ_(A - B) = √((0.48(1 - 0.48)/80) + (0.14(1 - 0.13)/66))

σ_(A - B) = √0.00496545455

σ_(A - B) = 0.070

5 0
3 years ago
What is the volume of the cylinder?<br><br> Radius:3m<br><br> Height:17m
valentinak56 [21]

Answer:

480.66 m^3

Step-by-step explanation:

The formula for volume of a cylinder is πr^2h. when you input these values and solve for π you get π3^2(17) or approximately 480.66 m^3

Please mark as brainliest :)

5 0
3 years ago
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