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Paul [167]
3 years ago
11

HELLO THERE. PLS HELP ME WITH GEOMETRY

Mathematics
1 answer:
Lynna [10]3 years ago
6 0

Answer:

y° = 110°

z° = 26°

Step-by-step explanation:

Looking at the above geometry, we have two parallel lines , m and m

We have been asked to solve for y° and z°

Step 1

We solve for y°

On line n , we have can see that 70° and y° are CONSECUTIVE INTERIOR ANGLES

It is important to note that THE SUM OF TWO CONSECUTIVE INTERIOR ANGLES = 180°

Hence,

70° + y° = 180°

y° = 180° - 70°

y° = 110°

Step 2

Solve for z°

Looking at the geometric diagram we can see that

y° and (6z - 46) ° are ALTERNATE INTERIOR ANGLES

This means

y° = (6z - 46) °

In step 1 , we have already solved for y°

y° = 110°

Hence,

110° = (6z - 46) °

110° = 6z° - 46°

collect like terms

110° + 46° = 6z°

156° = 6z°

Divide both sides by 6

156°/6 = z°

z° = 26°

Therefore, the value y = 110° and the value of z = 26°

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Riley has collected surveys for her final thesis project. One one question, 46.1% of respondents said that conditions were impro
ira [324]

Answer:

The maximum value of the confidence interval for this set of survey results is 51.73%.

Step-by-step explanation:

A confidence interval has two bounds, a lower bound and an upper bound.

These bounds depend on the sample proportion and on the margin of error.

The lower bound is the sample proportion subtracted by the margin of error.

The upper bound is the margin of error added to the sample proportion.

In this question:

Sample proportion: 46.1%

Margin of error: 5.63%.

Maximum value is the upper bound:

46.1+5.63 = 51.73

The maximum value of the confidence interval for this set of survey results is 51.73%.

5 0
3 years ago
Christel wants to know what the most popular color at her school is. She surveys students grades 1,2,3.
shutvik [7]

Answer:

It will be biased.

Step-by-step explanation:

By surveying only grades 1, 2, and 3, she is not taking a representation of the entire school. It is possible that the popular color or the color the students like would change over time and the opinion of the younger kids could be different from that of the older kids. Therefore, the sample is biased unless she surveys students from all grades.

7 0
2 years ago
5. A researcher creates a scatter plot that displays the relationship between the number of years in business, , and the percent
Black_prince [1.1K]

Based on the information given, it should be noted that the residual for the two points will be 0.087 and -0.033 respectively.

<h3>How to find the residual.</h3>

From the complete information, the predicted value for the point (3, 0.42) will be:

= (0.091 × 3) + 0.060

= 0.0273 + 0.060

= 0.333

Therefore, the residual will be:

= 0.42 - 0.333 = 0.087

The predicted value for the point (3, 0.3) will be:

y = 0.091x + 0.060.

= (0.091 × 3) + 0.060.

= 0.333

Therefore, the residual will be:

= 0.3 - 0.333 = -0.033

Therefore, the residual for the two points will be 0.087 and -0.333 respectively.

Learn more about residuals on:

brainly.com/question/26255019

8 0
2 years ago
A rectangular picture frame has side lengths of 12 in by 9.5 in what is the length of the diagonal of the picture
OleMash [197]

Answer:

Length of diagonal of picture = 15.30 inches

Step-by-step explanation:

Given that:

Side lengths of picture frame = 12 inches by 9.5 inches

As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.

Using Pythagorean theorem;

a²+b²=c²

Putting the values in the theorem

(12)^2 + (9.5)^2 = c^2 \\144+90.25=c^2\\c^2 = 234.25

Taking square root on both sides

\sqrt{c^2}=\sqrt{234.25}\\c=15.30

Hence,

Length of diagonal of picture = 15.30 inches

3 0
3 years ago
Which term describes this figure?
Ann [662]
Hey there! :)

This figure is an irregular polygon. Regular polygons have side lengths that measure the same length. In this polygon, not all the sides are equal. Therefore, it is an irregular polygon.

Your answer is the 2nd choice ⇒ irregular polygon

Hope this helps :)
5 0
3 years ago
Read 2 more answers
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