All categories

2 years ago

If the measure of angle 1 is 78 degrees and the measure of angle 3 is (5x-2)degrees, what is the value of x ?

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

7 0

Answer:

Step-by-step explanation:

Vertical Angles are congruent (equal)

78 = 5x - 2

80 = 5x

16 = x

You might be interested in

Which graph represents the solution set of -2y > 7x + 4?

Firdavs [7]

The equation of a line in point-slope form is expressed as:

y = mx + b

m is the slope of the line

b is the y-intercept

Given the inequality -2y > 7x + 4, this can also be expressed as:

-2y > 7x + 4

y < -7/2x -4/2

y< -7/2x - 2

This shows that the line will be a dashed line and cuts the y-axis at y= -2

Learn more on inequality graph here: brainly.com/question/11234618

4 0

2 years ago

We wish to construct a 90% confidence interval on the mean of a population known to be normally distributed based on a sample of

sergiy2304 [10]

Answer:

Margin of error = 0.773

Step-by-step explanation:

We are given the following information in the question.

Sample size, n = 20

Sample mean = 8

Sample standard deviation = 2

90% Confidence interval

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 19 and}~\alpha_{0.10} = \pm 1.729$

Margin of error:

$t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$1.729(\frac{2}{\sqrt{20}} ) = 0.773$

7 0

3 years ago

What is the result when the number 15 is decreased by 6%?

Tasya [4]

Answer:

It would be 14.1

Step-by-step explanation:

6% of 14 is 0.9, so subtracting that from 15 would leave you with 14.1

6 0

3 years ago

Read 2 more answers

18.4b=44.16 need help fast

MaRussiya [10]

Answer:

If it's 18.4b=44.16: $b=2.4$

If it's 4b=44.16: $b=11.04$

Step-by-step explanation:

If it's 18.4b=44.16:

$18.4b=44.16\\\\\frac{b}{18.4}=\frac{44.16}{18.4}\\\\b=2.4$

If it's 4b=44.16:

$4b=44.16\\\\\frac{b}{4}=\frac{44.16}{4}\\\\b=11.04$

4 0

3 years ago

An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the ref

Deffense [45]

To minimize the cost, we take the straight distance from the refinery to the other side of the river as 2 km. Also, the 7 km will be the distance that has to be traveled by the pipeline in land. The total cost, C, is therefore,
total cost = (2 km)($800,000/km) + (7 km)($400,000 /km)
total cost = $4,400,000
Thus, the total cost of the pipeline is approximately $4,400,000.00.

4 0

3 years ago