A science club at Emily's middle school has 25 members. Only 40% of the

Find the value of x in this polygon.

ExtremeBDS [4]

Answer:

68

Step-by-step explanation:

you have to add to 180 and 68+112=180

8 0

3 years ago

In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?

lana [24]

Answer is D

After dilation the image remain same but it is stretched or shrinked to the original size.

That means the ratio of the sides and the angles between the sides remain same .

Here we did dilation of ABCD which made it to EFGH.

Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.

the corresponding sides are : AB and EF

BC and FG

CD and GH

DA and HE

* Let us find ratio of the sides AB and BC

given that AB= 10 and BC= 14

AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )

* the raio of the corresponding sides EF and FG should be same ( 5/7)

in the option D EF= 25 and FG= 35

so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )

Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD

4 0

3 years ago

Read 2 more answers

10. An arithmetic sequence has this recursive formula. What is the explicit formula?

Mrrafil [7]

Answer:

$a_{n}=45-3n$

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

$a_{n} =a_{1} +(n-1)d\\$

d is the common difference, can be found by:

$d=a_{n}-a_{n-1}=-3$

Subtituting the $a_{1}$ and $d$

You get:

$a_{n}=42+(-3)(n-1)=45-3n$

Method 2 (Mathematical induction):

Assume it is in form $a_{n}=45-3n$

Base step: $a_{1} =45-3(1)=42$

Inducive hypophesis: $a_{n}=45-3n$

GIven: $a_{n+1} =a_{n}-3$

$a_{n+1}=45-3n-3=45-3(n+1)$

Proved by mathematical induction

$a_{n}=45-3n$

5 0

3 years ago

True or False: The null hypothesis should be rejected at a 10% level of significance when testing whether age has any effect on

olga_2 [115]

Answer:

False

Step-by-step explanation:

The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.

7 0

3 years ago

Solve the following systems by substitution

Paladinen [302]

Answer:

The answer to your question is below

Step-by-step explanation:

Question 1

x = 5 Equation l

2x + y = 10 Equation ll

- Substitute Equation l in equation ll

2(5) + y = 10

y = 10 - 10

y = 0

- Solution (5, 0)

Question 2

x + 16y = 20 Equation l

x = 4y Equation ll

Substitute equation ll in equation l

4y + 16y = 20

20y = 20

y = 20/20

y = 1

-Find x

x = 4(1)

x = 4

-Solution

(4, 1)

Question 3

2x + 8y = 20 Equation l

x = 2 Equation ll

-Substitute equation ll in equation l

2(2) + 8y = 20

4 + 8y = 20

8y = 20 - 4

8y = 16

y = 16/8

y = 2

- Solution

(2, 2)

8 0

3 years ago