A. (5x -9) - (2x -7) b. (6x -10) -(2x-8)

Dvinal [7]

Answer
67.5

45° would be the other angle of 2x°

180° - 45° = 135°

135/45 = 67.5°

6 0

3 years ago

A carpenter cut out a small trapezoid as a wooden support for the front step. it has an altitude of 4 inches. One base of the tr

docker41 [41]

Area of wooden support is 36 square inches

<em><u>Solution:</u></em>

Given that, carpenter cut out a small trapezoid as a wooden support for the front step

<em><u>The area of trapezoid is given as:</u></em>

$area = \frac{a+b}{2} \times h$

Where, "h" is the height

"a" and 'b" are the length of base

Here given that,

Height = h = 4 inches

a = 6 inches

b = 12 inches

Substituting the values we get,

$area = \frac{6+12}{2} \times 4\\\\area = 18 \times 2\\\\area = 36$

Thus area of wooden support is 36 square inches

6 0

4 years ago

A scale on a blue print drawing of a house shows that 6 centimeters represents 3 meters. What number of centimeters on the blue

Tema [17]

Answer:

54 cm

Step-by-step explanation:

Measures are proportional on a scale drawing:

drawing measure : actual measure = 6 cm : 3 m = x : 27 m

The value on the right of the x ratio, 27, is 9 times 3, so the value of x will be 9 times 6 cm.

54 cm on the blueprint represents an actual distance of 27 meters.

5 0

3 years ago

A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 20 ounces. The distribution of weig

jenyasd209 [6]

Answer:

$z=\frac{19.87-20}{\frac{0.4}{\sqrt{25}}}=-1.625$

The p value for this case would be given by:

$p_v =P(z$

Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.

Step-by-step explanation:

Information provided

$\bar X=19.87$ represent the sample mean

$\sigma=0.4$ represent the population deviation

$n=25$ sample size

$\mu_o =68$ represent the value that we want to test

$\alpha=0.01$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is at least 20 ounces, the system of hypothesis would be:

Null hypothesis: $\mu \geq 20$

Alternative hypothesis: $\mu < 20$

The statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$z=\frac{19.87-20}{\frac{0.4}{\sqrt{25}}}=-1.625$

The p value for this case would be given by:

$p_v =P(z$

Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.

7 0

3 years ago

Lydia writes the equation below with a missing value.

Alex73 [517]

If she puts 0 in the box she would have a direct variation.

Lydia writes the equation y = 5x - __ with a missing value.

She puts a value in the box and says that the equation represents a direct variation.

We have to choose the correct option from the given options that explain that the equation could represent a direct variation.

When two variables are such that one is a constant multiple of the other, we said they are in Direct variation.

<h3>What is the direct variation?</h3>

In form of y = ax, where y and x are in direct variation.

Consider the given equation y = 5x - __

For the equation to be in direct variation the value of the missing term has to be 0.

then the equation becomes,

y = 5x

Thus, If she puts 0 in the box she would have a direct variation.

Option (a) is correct.

To learn more about the direct variation visit:

brainly.com/question/25215474

#SPJ1

3 0

2 years ago

Read 2 more answers

A. (5x -9) - (2x -7) b. (6x -10) -(2x-8)​

A. (5x -9) - (2x -7) b. (6x -10) -(2x-8)