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3 years ago

It is given

Mathematics

1 answer:

vekshin13 years ago

3 0

Answer:

Step-by-step explanation:

<h3>Question </h3>

It is given the ∆ABC≅∆FDE and AB=4 cm, ∠B=40⁰ and ∠E=60⁰, then which of the following is true.

(A) DE=4cm, ∠A=80⁰
(B) DE=4 cm, ∠C=80⁰
(C) DF=4 cm, ∠A=80⁰
(D) DF=4cm, ∠C=80⁰

<h3>Solution</h3>

Corresponding sides and angles are:

AB ≅ FD
∠A≅∠F, ∠B≅∠D, ∠C≅∠E

Given:

AB = 4 cm, so FD = 4 cm
∠B = 40⁰ and ∠E = 60⁰, so ∠D = 40⁰ and ∠C = 60⁰

and

∠A = ∠F = 180⁰ - (40⁰ + 60⁰) = 80⁰

Considering all above we see that correct answer option is (C)

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Simplify: -4(2 - 8x)

Leno4ka [110]

Answer:

32 − 8

Step-by-step explanation:

1. Rearrange terms

− 4 (2 − 8)

− 4 (− 8 + 2)

2. Distribute

− 4 (− 8 + 2)

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3 years ago

At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 m

Colt1911 [192]

Answer:

99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 4 minutes

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

Almost all the data lies within three standard deviation from the mean for a normally distributed data.
About 68% of data lies within one standard deviation from the mean.
About 95% of data lies within two standard deviations of the mean.
About 99.7% of data lies within three standard deviation of the mean.

Thus, 99.7% of the customers have to wait:

$\mu -3\sigma = 18-3(4) = 6\\\mu +3\sigma = 18+3(4) = 30$

Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

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2 years ago

Given AVXY and AVWZ, what is WW? helpppp pls

Yuliya22 [10]

Answer:

Step-by-step explanation:

VZ = 44-27.5 = 16.5

ZY/VY = ⅝

WX = ⅝ of VX

VX = 36×8/5 = 57.6

VW = VX - WX = 21.6 units

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2 years ago

Let set A = {odd numbers between 0 and 100} and set B = {numbers between 50 and 150 that are evenly divisible by 5}. What is A ∩

fgiga [73]

A = {odd numbers between 0 and 100}
A = {1, 3, 5, 7,...., 95, 97, 99}

B = {numbers between 50 and 150 that are evenly divisible by 5}
B = {50, 55, 60, 65, ..., 140, 145, 150}

The notation A ∩ B means the set of items that are in set A and also in set B. In terms of venn diagrams, it's the overlapping region between circle A and circle B

In this case, the following values are found in both set A and set B
{55, 65, 75, 85, 95}

So that's why
A ∩ B = {55, 65, 75, 85, 95}
which is the final answer

6 0

3 years ago

Mathematics, Due Today.

vovikov84 [41]

The first one is true

5 0

3 years ago