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3 years ago

Please help! Write an equation, then solve for x

Mathematics

1 answer:

Nastasia [14]3 years ago

4 0

Answer:

x=30

Step-by-step explanation:

4x+2x+3x +3x=360. .... (angles of the quadrilateral add up to 360)

12x=360

12x/12=360/12

x=30

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Help please!!!!!!!!!!!!!!!!!!!!

vfiekz [6]

Step-by-step explanation:

the calculation is included. I hope its self explanatory

8 0

2 years ago

Please help. Thank you

Inessa [10]

Given:

$PQRS\sim TUVW$

In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15

To find:

The scale factor from PQRS to TUVW.

Solution:

We have,

$PQRS\sim TUVW$

We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.

The scale factor is:

$k=\dfrac{VW}{RS}$

$k=\dfrac{25}{35}$

$k=\dfrac{5}{7}$

Therefore, the scale factor from PQRS to TUVW is $k=\dfrac{5}{7}$ .

6 0

3 years ago

The cost for a pack of 18 pencils is $3.24. Find the unit price in dollars per pencil. If necessary, round your answer to the ne

nexus9112 [7]

Answer:

$0.18 per pencil.

Step-by-step explanation:

"Dollars per unit" means that you take the dollar amount and divide it by the amount of pencils, so you get 3.24/18, or .18.

4 0

3 years ago

Tamira invests $5,000 in an account that pays 4% annual interest. How much will there be in the account after 3 years if the int

Talja [164]

Answer:

There will be $5624.32 in the account after 3 years if the interest is compounded annually.

There will be $5630.812 in the account after 3 years if the interest is compounded semi-annually.

There will be $5634.125 in the account after 3 years if the interest is compounded quarterly.

There will be $5636.359 in the account after 3 years if the interest is compounded monthly

Step-by-step explanation:

Tamira invests $5,000 in an account

Rate of interest = 4%

Time = 3 years

Case 1:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 1

Formula : $A=P(1+r)^t$

$A=5000(1+0.04)^3$

A=5624.32

There will be $5624.32 in the account after 3 years if the interest is compounded annually.

Case 2:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 2

Formula : $A=P(1+\frac{r}{n})^{nt}$

$A=5000(1+\frac{0.04}{2})^{2 \times 3}$

A=5630.812

There will be $5630.812 in the account after 3 years if the interest is compounded semi-annually.

Case 3:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 4

Formula : $A=P(1+\frac{r}{n})^{nt}$

$A=5000(1+\frac{0.04}{4})^{4 \times 3}$

A=5634.125

There will be $5634.125 in the account after 3 years if the interest is compounded quarterly.

Case 4:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 4

Formula : $A=P(1+\frac{r}{n})^{nt}$

$A=5000(1+\frac{0.04}{12})^{12 \times 3}$

A=5636.359

There will be $5636.359 in the account after 3 years if the interest is compounded monthly

8 0

3 years ago

18 bikes, 9 have gears (G), 11 have suspension (S) and 5 with both,What is the probability that a bike with suspension or gears?

vichka [17]

Answer:

Step-by-step explanation:

Total number of bikes = 18
Bikes with gears S = 9
Bikes with suspension S = 11
Bikes with both GS = 5

From the information above we have:

Bikes with gears only = 9 - 5 = 4
Bikes with suspension only = 11 - 5 = 6

Sum of the above two gives us the number of bikes with suspension or gears:

4 + 6 = 10

Probability of selected bike be G or S is:

P(G or S) = 10/18 = 5/9

4 0

3 years ago