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Makovka662 [10]
2 years ago
7

∠A and \angle B∠B are vertical angles. If m\angle A=(5x-4)^{\circ}∠A=(5x−4) ∘ and m\angle B=(2x-1)^{\circ}∠B=(2x−1) ∘ , then fin

d the value of x.
Mathematics
1 answer:
lions [1.4K]2 years ago
5 0

Answer:

x=1

Step-by-step explanation:

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Thirteen less than eight times a number is three more than four times the number.
Lisa [10]

Answer:

Step-by-step explanation:

Let the number = x

8x - 13 = 4x + 3              Add 13

8x = 4x + 3 + 13             Combine

8x = 4x + 16                   Subtract 4x

8x - 4x = 16                    Combine

4x = 16                           Divide by 4

x = 16/4

x = 4

6 0
3 years ago
Find the zeros of polynomial function and solve polynomials equations.<br> f(x)=24x^3-64x^2-21x+56
8090 [49]

Since this polynomial has 4 terms, factoring by grouping should be the first thing we try here.

So, we have:

8x^2(3x-8)-7(3x-8)=0 \implies\\ (8x^2-7)(3x-8)=0

So, we can use ZPP to find out roots:

3x-8 =0 \implies\\ x=\frac{8}{3}\\ 8x^2-7=0 \implies \\ 8x^2=7 \implies \\ x^2=\frac{7}{8} \implies \\ x=\pm\frac{\sqrt{7}}{\sqrt{{8}}}\\ \text{Rationalizing denominator:}\\ x=\pm\frac{\sqrt{56}}{8}

So our three roots are:

x \in \{\frac{8}{3},\frac{\sqrt{56}}{8},-\frac{\sqrt{56}}{8}\}

8 0
3 years ago
Order the numbers from least to greatest.<br><br> 0.70, 0.701, 0.71, 0.078
pishuonlain [190]

Answer:

0.078,0.70,0.701,0.71

5 0
2 years ago
Read 2 more answers
There are 8 volunteers during the weekday and only 5 volunteers on the
MaRussiya [10]

Answer:

Monday is a weekday, with which there would be 8 volunteers.

In turn, Saturday is a weekend day, with which there would be 5 volunteers.

2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.

Step-by-step explanation:

Given that there are 8 volunteers during the weekday and only 5 volunteers on the weekend, to determine how many volunteers do you have on Monday and Saturday the following logical reasoning must be carried out:

Monday is a weekday, with which there would be 8 volunteers.

In turn, Saturday is a weekend day, with which there would be 5 volunteers.

In turn, if you have 10 people who need help from the volunteers on Monday, to determine how many will not get helped if the ratio of volunteers to the person needing help is 1: 1 the following logical reasoning must be carried out:

10: 8

1: 1

10 - 8 = 2

Thus, 2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.

6 0
3 years ago
Read 2 more answers
What is the mean absolute deviation of 42 31 1 1 2 4 5 6 7 3
FromTheMoon [43]

The mean absolute deviation is 10.52.

<h3>What is the mean absolute deviation?</h3>

The mean absolute deviation of a dataset is the average distance between each data point and the mean. It is a measure of variation of a data set.

MAD =1/n  ∑ l x - m(x) l

Where:

n = total numbers in the data set

x = number

m(x) - median

The first step is to determine the mean of the data set: (42 + 31 + 1 + 1 + 2 4+ 5 + 6 + 7 + 3) / 10 = 10.2

Find the absolute value of the difference between the number and the mean. Add the result | (42 - 10.2) + (31 - 10.2) + (1 _ 10.2)  + (1 - 10.2)  + (2 - 10.2)  + (4 - 10.2)  + (5 - 10.2)  + (6 - 10.2)  + (7 - 10.2)  + (3 - 10.2) = 105.2

Divide the sum by the total number in the dataset = 105.2 / 10 = 10.52

To learn more about mean absolute deviation, please check: brainly.com/question/27365177

#SPJ1

5 0
1 year ago
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