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3 years ago

Determine the value for x in the given diagram when a||b.

Mathematics

2 answers:

daser333 [38]3 years ago

5 0

Your answer is 55 degrees. Hope that helps

Sladkaya [172]3 years ago

4 0

Answer:

55°

Step-by-step explanation:

Since a||b

Then corresponding angles are equal

So 55 is correspondent to X

Therefore X=55°

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Sally agreed a compound interest of 5.5% for a fixed term. If she invested £800 to this agreement, then what was her total at th

Rom4ik [11]

Answer:

£1045.57

Step-by-step explanation:

Using compound interest formula then

$A=P(1+i)^{n}$

Where A= the future value of the investment/loan, including interest

P = the principal investment amount

r = the annual interest rate

n = the number of times that interest is compounded per unit t

$A=800(1+0.055)^{5}\approx 1045.57$

Hence her amount t the end of 5 yrs is $1045.57

3 0

3 years ago

If the number of employed persons equals 180 million, the number of unemployed persons equals 15 million, and the number of pers

beks73 [17]

Answer:

$\text{Unemployment rate}\approx 7.7\%$

$\text{Labor force participation rate}\approx 92.9\%$

Step-by-step explanation:

We have been given that the number of employed persons equals 180 million. The number of unemployed persons equals 15 million, and the number of persons over age 16 in the population equals 210 million. We are asked to find the unemployment rate and the labor force participation rate.

$\text{Unemployment rate}=\frac{\text{Number of unemployed person}}{\text{Labor force}}\times 100\%$

We know that labor force is equal to employed population plus unemployed population.

$\text{Unemployment rate}=\frac{\text{15 million}}{\text{180 million + 15 million}}\times 100\%$

$\text{Unemployment rate}=\frac{\text{15 million}}{\text{195 million}}\times 100\%$

$\text{Unemployment rate}=0.0769230769\times 100\%$

$\text{Unemployment rate}=7.69230769\%$

$\text{Unemployment rate}\approx 7.7\%$

Therefore, the unemployment rate is approximately 7.7%.

$\text{Labor force participation rate}=\frac{\text{Labor force}}{\text{Total eligible population}}\times 100\%$

$\text{Labor force participation rate}=\frac{\text{195 million}}{\text{210 million}}\times 100\%$

$\text{Labor force participation rate}=\frac{195}{210}\times 100\%$

$\text{Labor force participation rate}=0.9285714285714286\times 100\%$

$\text{Labor force participation rate}=92.85714285714286\%$

$\text{Labor force participation rate}\approx 92.9\%$

Therefore, the labor force participation rate is approximately 92.9%.

4 0

3 years ago

A birthday celebration meal is $ 50.20 $50.20 including tax, but not the tip. Find the total cost if a 15 % 15% tip is added to

Tema [17]

The answer is $57.73 because you multiply 50.2 and .15 to get the tax. Then, you add the tax, which is $7.53. You add 7.53 and 50.20 to get the answer.

4 0

3 years ago

Read 2 more answers

13. A contractor buys 8.2 square feet of sheet metal.

Veseljchak [2.6K]

Answer:

$x = \frac{183}{6.7}$ is the required equation.

The Per sq ft of sheet costs $ 27.31.

Step-by-step explanation:

The total amount of sheet purchased = 8.8 sq. ft

The amount of sheet used = 2. 1 sq ft.

The worth of remaining sheet = $183

Let us assume the cost per sq ft of sheet = $x

Now, the remaining sheet =

Amount of total sheet purchased- Amount of sheet used

= 8.8 sq. ft - 2. 1 sq ft. = 6. 7 sq. ft

So, the worth of the remaining sheet 6.7 sq ft is $183.

⇒ Worth of 1 sq ft of sheet = $183 /6.7 sq ft

or, $x = \frac{183}{6.7} = 27.31$

or x = $27.31

Hence, the Per sq ft of sheet costs $ 27.31.

6 0

3 years ago

What equation is graphed in this figure?

aniked [119]

Based on the graph, the slope is -3, and the y-intercept is 1. So your equation should be:

y = -3x + 1

The answer is C

y + 2 = -3(x - 1)

y + 2 = -3x + 3

y = -3x + 1

5 0

3 years ago

Read 2 more answers