In a right triangle, the measures of the legs are 8 and x + 6,
and the measure of the hypotenuse is x + 8. Find the value of x.

Answers

Answer 1

See the attached image for the steps.

x = 9.

Identities used :-

(a + b)² = a² + 2ab + b²

Theory used :-

Pythagorean theorem (Hypotenuse² = Base² + Altitude²).

______

RainbowSalt2222 ☔

In A Right Triangle, The Measures Of The Legs Are 8 And X + 6,and The Measure Of The Hypotenuse Is X

Related Questions

Consider the expression 8ab + 3b + 16 - 4a. (a) How many terms are there? (b) How many factors are in the first term? Identify them. (c) Which term is a constant? pls do this fast

Answers

a. There are 4 terms in the expression

b. There are 3 factors in the first term.

c. The constant is 16.

8ab + 3b + 16 - 4a

A term is any signed number, a variable, or a constant  multiplied by a

variable or variables.

Therefore, the terms are 8ab,  3b,  16, and -4a. The terms are 4 in numbers.

The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.

The term that is a constant is 16

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how do I make this as simplest form
qns: 5 2/3 + 3 1/10
pls answer
the prod. is 8 23/30 ​

Answers

Answer:

That is the final product

Step-by-step explanation:

According to all sites I used, they all said that was in the simplest form and cannot be simplified lower than that.

Your friend tells you that at 1:00 pm the temperature outside was 67 degrees Fahrenheit and at 5:00 pm, that same day, the temperature was 65 degrees Fahrenheit. He also states that the average rate of change of the temperature between 1:00 pm and 5:00 pm increased by 2 degrees Fahrenheit. Determine if your friend is correct ?

Answers

Answer:

Incorrect

Step-by-step explanation:

Average rate of change is

(65 - 67) / (5:00 - 1:00)  = -½°/hr

Write the equation of a parabola that has a vertex of (-2,5.5) and passes through the point (-2.5,2.5).

Answers

The equation of a parabola that has a vertex of (-2, 5.5) and passes through the point (-2.5, 2.5) is  [tex]y=-12(x+2)^2+5.5[/tex]

The vertex form of the equation of a parabola is:

[tex]y=a(x-h)^2+k[/tex]

where (h, k) is the vertex of the parabola

(x, y) is the point that the parabola passes through

The vertex, (h, k) = (-2, 5.5)

The point, (x, y) = (-2.5, 2.5)

Substitute h = -2, k = 5.5, x = -2.5, and y = 2.5 into the equation to solve for a.

[tex]2.5=a(-2.5-(-2))^2+5.5\\\\2.5=a(-2.5+2)^2+5.5\\\\2.5-5.5=a(-2.5+2)^2\\\\-3=a(-0.5)^2\\\\-3=0.25a\\\\a = \frac{-3}{0.25} \\\\a = -12[/tex]

Therefore, the equation of the parabola is:

[tex]y=-12(x-(-2))^2+5.5\\\\y=-12(x+2)^2+5.5[/tex]

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Complete the equation of the line whose y-intercept is (0,-1) and slope of 4

y=(answer)

Answers

y=4x-1 is the answer

Ophira’s insurance company has notified her that her premiums will increase due to a poor insurance score and a recent claim she filed. The recent claim has increased her premiums by 41%, and her poor insurance score will cost her an additional $25 per month. Ophira currently pays $815 per year for insurance. How much will she pay next year?


$1149.15
$1672.15
$1449.00
$1449.15

Answers

Answer:

$1449.15

Step-by-step explanation:

currently paying 815

to pay next year: 41% increase + 25 extra per month

⇒ 141%·815 + 12·25

    = 1149.15 + 300

    = 1449.15

A rectangular garden to contain 3 length segments and 4 width segments. The total amount of fencing required is 24 meters. What is the maximum possible area

Answers

Answer:

12 meters sq

Step-by-step explanation:

area= length x width

area= 3x4

area=12 meters sq

The perimeter of the smallest square is 48 feet. What is the perimeter of the largest square?

Answers

Answer:

x > 48

Step-by-step explanation:

There’s nothing told to us or showed to us to answer It So I was only able to answer it with an inequality :(((

sorry if this didn’t help but once again… not enough information :(

Mike burns 392 calories when he walks 4 miles how many calories does he burn when he walks 1 mile?

Answers

Answer:

Step-by-step explanation:

If mike burns 392 calories when he walks 4 miles then we just need to divide

/ =

Mike burns 98 calories when he walks 1 mile.

What is unitary method?

"It is a method of finding the value of a single unit and based on that value, we can find the required value."

For given example,

Mike burns 392 calories when he walks 4 miles.

This means, 4 miles = 392 calories

By using unitary method we find the number of calories he burns when he walks 1 mile.

4 miles = 392 calories

So, 1 mile = 392/4 calories

1 mile = 98 calories

Therefore, Mike burns 98 calories when he walks 1 mile.

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ2

will give 25 points if right

Answers

The slope of the equation is 1/6

Answer:

1/6

Step-by-step explanation:

When the equation is in the form "y = mx + b", m is the slope. This linear line has a slope of 1/6 and a y-intercept of -1/2.

If the Owen family has a child in two years, how much can they expect to spend, per year, to raise the child from its birth to when it is five years old?

Answers

Answer: A. 65,250+139,560= 204,810. 204,810/18=11,378

I hope it is right

Answer:

The answer would be 13,050

Step-by-step explanation:

In order to get the answer, you have to do 65,250 divided by 5 years and you should get 13,050 on your calculator.

What is 1/3÷1/2 math answers?

Answers

Answer:

= [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Result in decimals: 0.66666666666667

x = mutiply

[tex]=\frac{1}{3} x\frac{2}{1}[/tex]

[tex]\frac{1 x 2}{3 x 1 }[/tex]

= [tex]\frac{2}{3}[/tex]

(Hope this helps can I pls have brainlist (crown)☺️)

Sabrina has eight boxes of crayons, with ten crayons in each box. She uses twelve crayons. How many crayons does she
have left?

Answers

Answer:

68

Step-by-step explanation:

8 boxes. 10 per one box. 8×10=80

80-12= 68

Solve. 3(x-6) - 8x = -2 + 5(2x+1)

Answers

Answer: x = -1.4

Step-by-step explanation:

Answer: x = -7/5

Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1)                       3x+−8x+−18 = 10x+−2+5                                                                                       −5x+−18 = 10x+3                                                                                                 −5x−18-10x = 10x+3-10x                                                                                             −15x−18+18 = 3+18                                                                                                   −15x/-15=21/-15                                                                                                         x = -7/5

25Y^2/5y-4 + 16/4-5y​

Answers

Answer:

5Y2y-5y

Step-by-step explanation:

5

Y

2

y

5

y

PLEASE HELP I will mark you BRAINLIST

Answers

Answer:

Angle B: 180-135=45° - supplementary angle rule

Angle C: 180-45-70=65° - sum of interior angles of triangle is 180

Angle D= Angle B : 45° - Alternate interior angles

Angel E=Angle A: 70° - Alternate interior angle.

Angle F: 180-Angle E(70) = 110° - supplementary angle rule

Step-by-step explanation:

42 out of 56 students have cell phone. What percent of students said they owned a cell phone

Answers

Answer:

75%

Step-by-step explanation:

now we can see that our fraction is 75/100 which means that 42/56 as a percentage is 75%

What expression is equivalent to 5(x+7)

Answers

Answer:

5x + 35

Step-by-step explanation:

Need some help with these 2 math questions, They are related so best to finish one then work on the bisect. Thank you.

Answers

Answer:

∠RQT = 23.5

∠PQR  = 133°

Step-by-step explanation:

Question 1

Step 1 - Add angles together:

As all angles on a straight line must add up to 180°:

3x - 5 + x + 1 = 180

Add like terms together

3x + x - 5 + 1

4x - 4 = 180

Step 2 - Add 4 to both sides of the equation:

4x - 4 + 4 = 180 + 4

4x = 184

Step 3 - Divide both sides by 4:

[tex]\frac{4x}{4} = \frac{184}{4}[/tex]

x = 46

∠RQS = x + 1

∠RQS = 46 + 1

∠RQS = 47

Given the ray QT bisects ∠RQS, the angles must be the same on either side so:

47 ÷ 2 = ∠RQT

∠RQT = 23.5

Question 2

As we know the value of x:

∠PQR = 3x - 5

Plug known values in:

3x - 5

3(46) - 5

138 - 5

∠PQR  = 133°

This can also be calculated by subtracting known angle ∠RQS from 180:

180 - 47 = 133.

Hope this helps!

Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.

Answers

Answer:

I dont but want to.

Hope this helps! :) ;-;

Step-by-step explanation:

If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?

Answers

Answer:

[tex] \rightarrow [/tex] 12.5%

=================================================

Explanation/Solution:

To solve, use the formula:

[tex] \rightarrow \: \rm Percent \: of \: Increase = \frac{Amount \: of \: Increase}{Original \: Amount} \\ [/tex]

Solve.

[tex] \rightarrow \: \rm = \frac{16 - 12}{12} [/tex] Amount of increase: 16 - 12 = 2

[tex] \rightarrow \: \rm = \frac{2}{16} [/tex] Simplify.

[tex] \rightarrow \: \rm = \frac{x}{100} = \frac{1}{8}[/tex] Write the fraction as a percent.

[tex] \rightarrow [/tex]8x = 100 Find the product of the extreme and the means.

[tex] \rightarrow \: \rm = \frac{8x}{8} = \frac{100}{8}[/tex] Divide both sides by 8.

[tex] \rightarrow [/tex]x = 12.5

Therefore, the percentage of increase in the item is 12.5%.

Multiply or divide. write fractions in simplest form.

-2/7 divided by (-8/21)

please help with this problem i will mark you brainliest :)

Answers

Answer:

3/4

Step-by-step explanation:

(-2/7) / (-8/21)

When dividing by a fraction flip it over and multiply

(-2/7) * (-21/8)

Cancel 2 and 8

(-1/7) * (-21/4)

Cancel 7 and 21

(-1/1) * (-3/4)

multiply

3/4

What is the equation of the line in slop-intercept form?



Enter your answer in the blank spots




y= __x + __

Answers

y = 5/2x + 5
or
y = 2.5x + 5

Answer:y=2.5x+5 i thank

Step-by-step explanation:

Find the value of y.

Answers

Answer:

y = 155

Step-by-step explanation:

6x + 1 = 2x + 17

x = 4

2 · 4 + 17 + y = 180

y = 155

I hope that this helps!!

Jax Incorporated reports the following data for its only product. The company had no beginning finished goods inventory and it uses
absorption costing
Sales price
$ 57.50 per unit
Direct materials
$ 10.50 per unit
Direct labor
$ 8.00 per unit
Variable overhead
$ 12.50 per unit
Fixed overhead
$ 1,237,500 per year
1. Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced and
75,000 units are sold.
2. By how much would the company's gross profit increase or decrease from producing 35,000 more units than it sells?
Answer is complete but not entirely correct.
Complete this question by entering your answers in the tabs below.
Required 1
Required 2
Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced
and 75,000 units are sold.
(a) 75,000 Units (b) 110,000 Units
Produced and
Produced and
75,000 Units Sold 75,000 Units Sold
Sales
4,312,500
4,312,500

Answers

The gross income or profit of the company is the difference between the

total revenue and the cost of items produced.

The values for the gross profits are;

(a) $750,000(b) $ -335,0002. The profit of the would decrease by $1,085,000

Reasons:

The gross profit is given by the equation;

Gross profit = Net revenue - Cost of items sold

The net revenue for 75,000 units = $57.50 × Sales price per unit

∴ The net revenue for 75,000 units = $57.50 × 75,000 = $4,312,500

Cost of production = 75,000 × Per unit cost of Materials plus Labor plus variable overhead + Fixed overhead

Cost of production = 75,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 3,562,500

The cost of producing 75,00 units per year = $3,562,500

Gross profit = $4,312,500 - $3,562,500 = $750,000

(b) When the number of units produced = 110,000, we have;

Cost of production = 110,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 4,647,500

Gross profit = $4,312,500 - $4,647,500 = $ -335,000 (a loss of 335,000)

2. By producing 35,000 units more than it sells, we have;

Cost > Revenue, therefore, the gross profit decreases

Let, X, represent the number of units sold, we have;

The number of units produced = X + 35,000

Which gives;

Cost of production = (X + 35,000) ×  (10.50 + 8.00 + 12.50) + 1,237,500 =

31·X + 2,322,500

Net revenue = X × 57.50 = 57.50·X

The profit =  57.50·X - (31·X + 2,322,500) = 26.5·X - 2,322,500

When X = 75,000, we have;

Gross profit = 26.5 × 75,000 - 2,322,500 = -335,000

Therefore;

The gross profit will decrease by 750,000 - (-335,000) = 1,085,000

The gross profit of the company will would decrease by $1,085,000, if it

sells 75,000 units and produces 110,000, which is 35,000 more units than

is sells.

Learn more here:

https://brainly.com/question/21776821

please view the img above for the question ^^​

Answers

Answer:

2

Step-by-step explanation:

because resetting the graph means it has to be a reflection

Which element should be used to help clarify a complicated idea in a text? (1 point) O a new topic O a bibliography O a visual O a research question w​

Answers

The element which should be used to help clarify a complicated idea in a text is ; A research question.

According to the question;

We are required to determine which element should be used to help clarify a complicated idea in a text.

A research question is the best fit which should be used to help clarify a complicated idea in a text.

This is so because; a research question provides a basis for accessing all perspectives there is to the complicated idea.

Read more:

https://brainly.com/question/18675306

Answer:

D:) a research question.

Step-by-step explanation:took the test

Lamis purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Lamis paid.

Answers

N x 5 = c hope this helps!
n5=c

n=number of notebooks
c=total cost

find the velue of y? y²=169​

Answers

Answer:

-13 or 13

Step-by-step explanation:

Since we are looking for the square root of 169, we realize that 13 multiplied by itself equals 169. Negative 13 does the same, so it is the answer.

On average, Laylah drinks 1/2 of a 6-ounce glass of water in 2/3 hour. What is 1/2 of 6?

Answers

Answer:3

Step-by-step explanation:

1/2 of 6 is 3 because (6x1)/2=6/2 which equals 3

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