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horrorfan [7]
3 years ago
12

Using the information given, select the statement that can deduce the line segments to be parallel. If there are none select non

e. When m<7=m<4​

Mathematics
1 answer:
MrRa [10]3 years ago
8 0

Answer:

Option (2). None

Step-by-step explanation:

A quadrilateral ABCD has been given with a property,

m∠7 = m∠4

Option (1). AB║ DC

For AB║DC, angle 7 and angle 3 should measure the same.

(By the property of alternate angles)

Therefore, by the given property we can not deduce AB║DC.

Option (3). AD║BC

For AD║BC, angle 7 and angle 3 must be equal in measure.

(By the property of alternate angles)

Therefore, by the given property we can not deduce AD║DC

Option (2). None will be the answer.

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Can anyone please help with these 2 questions. If you can, please show step-by-step.
valentinak56 [21]

Answer:

1. x = 21

2. m∡ABC =  51°

Step-by-step explanation:

First problem, solve for x

the sum of inside angles of a triangle is 180

also the supplementary angle for L = 180 - 100 is 80°

now you can add all angles

80 + 2x - 11 + 2x + 27 = 180

4x + 96 = 180

4x = 84

x = 21

Second problem, solve for m∡ABC

the sum of inside angles of a triangle is 180

also the supplementary angle for C = 180 - 148 is 32°

now you can add all angles

31 + 2x - 15 + x - 5 = 180

3x + 12 = 180

3x = 168

x= 56,

now solve for  m∡ABC = (x - 5)° = (56 - 5)° = 51°

8 0
3 years ago
Read 2 more answers
According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction.
klemol [59]

Answer:

a) the expected number of tweets with no reaction is 71 tweets

b) the variance is 20.59 tweets² ( ≈ 21 tweets )and the standard deviation is

4.537 tweets (≈ 5 tweets)

Step-by-step explanation:

we can use the binomial probability distribution

P(x, N, p ) = N!/[(N-x)!x!] * p^x * (1-p)^(N-x)

where

x = number of successful events

N = population total

p = probability for success for every individual and independent event

P = probability for x successful events

in our case p = 71% = 71/100 (probability of a tweet without reaction) , N = 100 tweets

a) the expected number of tweets

E(x) = N* p = 100 tweets * 71/100 = 71 tweets

b) the variance is

V(x) = N * p * (1-p)

V = 100 * 71/100 * (1-71/100) = 71* 29/100 = 20.59 tweets² ( units of variance are [N²] )

the standard deviation is

s = √V = √20.59 tweets² = 4.537 tweets

6 0
3 years ago
The charitable foundation for a large metropolitan hospital is conducting a study to characterize its donor base. In the past, m
In-s [12.5K]

Answer:

The null hypothesis will be that the average annual donor income is less or equal to $ 100,000

Step-by-step explanation:

The claim is mostly treated as alternate hypothesis .

In this question the claim is given as the average annual donor income has increased therefore it is written as

Ha: u > 100,000

The null hypothesis is reverse of the alternate hypothesis

H0: u ≤ 100,000

The null hypothesis will be that the average annual donor income is less or equal to $ 100,000

8 0
2 years ago
A decorator adds vases to a mantle to decorate. She wants to use 2 matching green vases, 3 matching blue vases, and 4 matching w
hjlf
There are 2 green, 3 blue, and 4 white vases.
The green vases can be arranged in 2! = 2*1 = 2 ways.
The blue vases can be arranged in 3! = 3*21 = 6 ways.
The white vases can be arranged in 4! = 4*3*2*1 = 24 ways.

The total number of arrangements is
2*6*24 = 288

Answer: 288

3 0
3 years ago
Read 2 more answers
yo i need help with this question please and thank u i need the correct answer to please i will give u a brainliest as well
Simora [160]
V = πr ^2 h
V = π (3)^2 (5)
V = π (9) (5)
V = π 45
V = 141.3 in
141.3 divided by 8 = 17.7
8 0
3 years ago
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