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grigory [225]
2 years ago
6

Step by step please !

Mathematics
1 answer:
lyudmila [28]2 years ago
8 0

Answer:

Step-by-step explanation:

Since the sum of all interior angles of a triangle is 180 degrees, we are able to derive the answer of what x (m<1 in this case) measures.

For example, in number 1, you can do

m<1 = 180 - 94 - 45

For the 2nd one, the tick marks show that the highlighted angles measure the same.

So, it would be (180-58)/2 = m<1

Finally, for the third one, there is a right angle, meaning that it measures 90 degrees

Therefore, 180-90-77 = m<1

You might be interested in
Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, state the population
Pie

Answer:

a

Yes it  involves a statistical test

The population parameter(s) of interest is  

   The sample size is  n =  100

    The average reaction time of the right hands for the right-handed participants  \mu_R

    The average reaction time of the left hands for the left-handed participants   \mu_L

The null hypothesis is  H_o :  \mu_R = \mu_L,

The alternative hypothesis is H_a: \mu_R < \mu_L

b

Yes it  involves a statistical test

The population parameter(s) of interest is  

   The sample size is  n =  100

    The average reaction time of the right hands for the right-handed participants  \mu_R

    The average reaction time of the left hands for the left-handed participants   \mu_L

The null hypothesis is  H_o :  \mu_R = \mu_L,

The alternative hypothesis is H_a: \mu_R < \mu_L

c

Yes it  involves a statistical test

The population parameter(s) of interest is  

The percentage of people in the community living in a mobile home is denoted with  p

The sample size is  n =  1000

The null hypothesis is  H_o :  p =10\% = 0.01,

The alternative hypothesis is H_a: p >10\% =  0.01

Step-by-step explanation:

Considering the first statement

Testing 100 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.

Yes, the analysis does involve a statistical test.

The null hypothesis is  H_o :  \mu_R = \mu_L,

The alternative hypothesis is H_a: \mu_R < \mu_L

Here \mu_R is the average reaction time of the right hands for the right-handed participants

and  \mu_L is the average reaction time of the left hands for the left-handed participants

Considering third statement  

Polling 1000 people in a large community to determine if there is evidence for the claim that the percentage of people in the community living in a mobile home is greater then 10%.

The percentage of people in the community living in a mobile home is denoted with  p

The sample size is  n =  1000

The null hypothesis is  H_o :  p =10\% = 0.01,

The alternative hypothesis is H_a: p >10\% =  0.01

3 0
3 years ago
Given the following, find the value of x.<br> (4x+45)<br> (5x-18)
VladimirAG [237]

Step-by-step explanation:

Hey ..but there is nothing from which question can be equated ..

like if they are equal to zero..

or

(4x+45)=(5x-18)

i am giving answer for both scenarios

(4x+45)=0

4x=-45

x=-45/4

x=(-11.25)

(5x-18)=0

5x=18

x=18/5

x=3.6

Incase if they both are equal to each other...

(4x+45)=(5x-18)

(45+18)=(5x-4x)

63=x

x=63

Hope it helps you

Have a nice day

8 0
3 years ago
Read 2 more answers
Samir harvest the peppers and pumpkins in his garden he picks 3 5/8 less peppers in the afternoon than in the evening if Samir p
tatuchka [14]
<h2>Hello!</h2>

The answer is:

Samir picks 7\frac{9}{8} Kg of peppers in the evening.

<h2>Why?</h2>

To solve this problem, we must remember the way to add or subtract mixed numbers.

We must remember the way of adding or subtracting fractions:

\frac{a}{b}+\frac{c}{d} =\frac{ad+bc}{bd}

Also, if we need to add or subtract mixed numbers with different denominators, we need to follow the next steps:

- Add or subtract the whole number part

- Add or subtract the fractional numbers.

- Put together both, whole number addition or subtraction result and the addition or subtraction of the fractional numbers.

So,

a\frac{b}{c}+d\frac{e}{f} =(a+d)\frac{bf+ce}{cf}

Now, if Samir picks 3 5/8 less peppers in the afternoon than in the evenning, and if he picks 4 3/6 peppers in the afternoon, so:

Let be x the number of peppers that he picks in the evening, so:

x-3\frac{5}{8}x=4\frac{3}{6}\\\\x=4\frac{3}{6}+3\frac{5}{8}

Then, simplifying we have:

x=4\frac{3}{6}+3\frac{5}{8}\\\\x=4\frac{3}{6}+3\frac{5}{8}=(4+3)\frac{24+30}{48}\\\\x=(4+3)\frac{24+30}{48}=7\frac{54}{48}=7\frac{9}{8}

So, Samir picks 7\frac{9}{8} Kg of peppers in the evening.

Have a nice day!

6 0
3 years ago
Number 1- equivalent expression for 3(x +5) +4x -8?
Dominik [7]

Answer: look at the picture

Step-by-step explanation: Hope this help :D

6 0
3 years ago
You are driving in France and see the price of gasoline is 2.099 euros per liter. Use the facts below to calculate the price in
Dahasolnce [82]

Answer: \$10.503

Step-by-step explanation:

Knowing that the price of gasoline in France is 2.099 euros per liter, you can follow these steps in ordere to calculate the price of the gasoline in US dollars per gallon:

1. Convert 2.099 euros to US dollars:

(2.099\ euros)(\frac{1\ US\ dollar}{0.7564\ euros})=2.774\ US\ dollars

Then, the price in US dollars per liter is 2.774\ US\ dollars\ per\ liter

3. Knowing that:

1\ liter=1.0567\ quarts\\\\4\ quarts = 1\ gallon

You can make the conversion from 1.0567 quarts to gallons:

(1.0567\ quarts)(\frac{1\ gallon}{4\ quarts})=0.2641\ gallons

4. Set up the following proportion:

\frac{2.774}{0.2641}=\frac{x}{1}

Where "x" is the the price in US dollars per gallon.

5. Solving for "x", you get:

\frac{(2.774)(1)}{(0.2641)}=x\\\\x=10.503

8 0
3 years ago
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