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3 years ago

Solve the equation 2

Mathematics

1 answer:

Nookie1986 [14]3 years ago

7 0

The answer is the first answer is the first option.

$x = - 2$

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3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work

Bas_tet [7]

Since congruence and similarity for polygons is posted in a specific order, we know that angle A=angle F, side A=side F, die B=side G, and so on. Therefore, we have that angle C=angle H = 9x-7=5x+13. Subtracting 5x from both sides to separate the x using the subtraction property of equality, we get 4x-7=13. Next, we can add 7 to both sides to get 4x=20, and divide both sides by 4 to isolate the x and get x=5. Plugging that into angle C or angle H, we get that 9x-7=9*5-7=45-7=38=5*5+13.

Feel free to ask further questions!

5 0

3 years ago

Help me PLZZZZZZZ!!!!!!

eduard

Answer:

25% decrease

Step-by-step explanation:

Take the original amount of books and subtract the new number of books

20 -15 = 5

Divide by the original amount of books

5/20 = .25

Multiply by 100%

25%

It is a decrease since the amount went down

25% decrease

7 0

2 years ago

The average American spent $8,508 on health care in 2011. The cost of health care is projected to rise about 5.8% per year for t

klio [65]

<h3>The projected amount the average American spent on health care in 2014 is $ 10075.91</h3>

Solution:

Given that,

The average American spent $8,508 on health care in 2011

The cost of health care is projected to rise about 5.8% per year for the years 2012-2022

The increasing function is given as:

$y = a(1+r)^t$

Where,

y is future value

a is initial value

r is growth rate in decimal

t is number of years

From given,

a = 8508

$r = 5.8 \% = \frac{5.8}{100} = 0.058$

t = 2011 to 2014 = 3 years

Substituting the values, we get,

$y = 8508(1 + 0.058)^3\\\\y = 8508(1.058)^3\\\\y = 8508 \times 1.1842\\\\y = 10075.914 \approx 10075.91$

Thus the projected amount the average American spent on health care in 2014 is $ 10075.91

4 0

3 years ago

Which of the following is rational 9/12 or -64

natali 33 [55]

9/12 bc it is a fraction

3 0

3 years ago

Tamara earns $8 an hour at her job working 25 hours per week. If 22% of her paycheck goes to taxes, what is Tamara’s monthly cas

DerKrebs [107]

To solve this problem you must apply the proccedure shown below:

1. First, you must multiply $8 by the hours given in the exercise:

$(8dollars)(25hours)=200dollars$

2. Now, multiply the result obtained above by 4, to calculate her monthly income:

$(200dollars)(4)=800dollars$

3. If 22% of her paycheck goes to taxes, you have:

$(800dollars)-[(800dollars)(0.22)]=624dollars$

Therefore, the answer is: $624

5 0

3 years ago