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2 years ago

Given M ,N find the value of x

Mathematics

1 answer:

kirill115 [55]2 years ago

5 0

Answer:

x = 59 , y = 44

Step-by-step explanation:

(2x + 18) and (x - 15) are adjacent angles on a straight line and sum to 180°

2x + 18 + x - 15 = 180 , collect like terms

3x + 3 = 180 ( subtract 3 from both sides )

3x = 177 ( divide both sides by 3 )

x = 59

Then

x - 15 = 59 - 15 = 44

y and (x - 15) are corresponding angles and are congruent , then

y = 44

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Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with

Katen [24]

Answer:

Elanor's standardized score is 1.19
Gerald's standardized score is 0.72
Elanor has higher score

Step-by-step explanation:

To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.

z score can be calculated using the formula

z= $\frac{X-M}{s}$ where

X is the student's score

M is the mean score of the exam

s is the standard deviation of the exam

Elanor's standardized score is:

z(e) = $\frac{680-554}{106}$ ≈ 1.19

Gerald's standardized score is:

z(g)= $\frac{27-24.7}{3.2}$ ≈ 0.72

Since z(e) > z(g), Elanor has higher score

6 0

2 years ago

How do i find the volume of these similar solids? round to the nearest tenth HELP

FromTheMoon [43]

Answer:

The volume of the larger solid is $592.6\ mm^3$

Step-by-step explanation:

The question is

If these solids are similar, find the volume of the larger solid

step 1

Find the scale factor

we know that

If two solids are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

x ----> the height of the larger solid in mm

y ----> the height of the smaller solid in mm

z ---> the scale factor

$z=\frac{x}{y}$

we have

$x=4\ mm\\y=3\ mm$

substitute

$z=\frac{4}{3}$ ---> scale factor

step 2

Find the volume of the larger solid

we know that

If two solids are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

x ----> the volume of the larger solid in cubic millimeters

y ----> the volume of the smaller solid in in cubic millimeters

z ---> the scale factor

$z^3=\frac{x}{y}$

we have

$z=\frac{4}{3}$

$y=250\ mm^3$

substitute the values

$(\frac{4}{3})^3=\frac{x}{250}$

solve for x

$(\frac{64}{27})=\frac{x}{250}$

$x=250(\frac{64}{27})$

$x=592.6\ mm^3$

4 0

2 years ago

If Frida has five friends who are available available to go to the movies with her but she only has four extra tickets how many

Fynjy0 [20]

Answer:

Step-by-step explanation: she only has 3 because of herself

3 0

2 years ago

5. 20 yards how many meters show work

Gnoma [55]

Answer:

18.288 meters = 20 yards to be approximate

(or 18 meters if you round)

Hope this helps:)

3 0

2 years ago

This histogram shows the numbers of people who volunteered for community service and the number of hours they worked.

Inga [223]

The correct answer is :85

You can find this out because you would count by fives so : 5, 10, 15, 20, 25 so there are 25 volunteers in the 11-15 hours worked so you would add that to the 21-25 also known as 10 hours worked you also have to add 16-20 also known as 50 so add all that and you get 50 + 25 + 10 = 85

So it's 85
I hope this helped! =)

4 0

3 years ago