What’s the process for finding c in this equation?

Whats The Process For Finding C In This Equation?

Answers

Answer 1

Answer:

x = 7

Step-by-step explanation:

Given that ∆BCD ~ ∆BFG, therefore the ratio of their corresponding side lengths will be equal.

Thus:

[tex] \frac{BC}{BF} = \frac{BD}{BG} [/tex]

Substitute

[tex] \frac{17x + 13}{36} = \frac{154}{42} [/tex]

Cross multiply

[tex] 42(17x + 13) = 154(36) [/tex]

[tex] 714x + 546 = 5,544 [/tex]

[tex] 714x = 5,544 - 546 [/tex] (subtraction property of equality)

[tex] 714x = 4,998 [/tex]

Divide both sides by 714

x = 7


Related Questions

Find the signs of the six trigonometric function values for the given angle.
48°

Answers

Answer:

The sign of all will be positive because 48  lie in 1st quadrant

Step-by-step explanation:

sin(48)= 0.743

cos(48)=0.669

tan(48)=1.11

cosec(48)=1.345

sec(48)=1.495

cot(48)=0.90

The sign of all will be positive because 48  lie in 1st quadrant.

What is trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

here, we have,

sin(48)= 0.743

cos(48)=0.669

tan(48)=1.11

cosec(48)=1.345

sec(48)=1.495

cot(48)=0.90

Hence, The sign of all will be positive because 48  lie in 1st quadrant.

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What is the value of g(0)?
O-2
O-1
O 3
O 6

Answers

Answer:

-1

Step-by-step explanation:

Well, at g(0), x = 0, and -2 ≤ 0 < 1, so according to the function definition, we'll need to use [tex]g(x)=-x-1[/tex] to evaluate g(0).

Plugging in 0 for x in this expression gives us [tex]g(0)=-0-1=-1[/tex].

5
Subtract. Write the expression below in simplest form.
(6x-2)-(-x+5)

Answers

Answer:  7x-7

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

Work Shown:

(6x-2)-(-x+5)

6x-2+x-5

(6x+x)+(-2-5)

7x-7

When distributing the negative, don't forget to apply the negative to every term inside the parenthesis. So that means -x flips to x, while +5 flips to -5.

Approximately how much interest will accrue before next month's bill if Jill owes $4,500
on her credit card and it charges 21 percent annually?

Answers

Answer:78.75

Step-by-step explanation:21 percent of 4500 945 divided my 12 which is 78.75

Lily sorted these solid figures into two groups. What is true about the groups

Answers

Answer:

One group is completely made of cones whilst the other has cylinders

Step-by-step explanation:

Which shows the result of a correct substitution for the system y=2x+3 and 3x+2y=9?

o

A. y= 2y + 3

B. 3(2x + 3) + 2y = 9

C. 3x + 2(2x + 3) = 9

o

D. 2x + 2y = 3

Answers

Answer:

C. 3x + 2(2x + 3) = 9

Step-by-step explanation:

We are given the following relation:

y = 2x + 3

And we want to substitute into:

3x + 2y = 9.

So

[tex]3x + 2(2x + 3) = 9[/tex]

Which is given by option C.

Jada walks at a speed pf 3 miles per hour. Elena walks at a speed of 2.8 per hour. If they both begin walking along a walking trail at the same time how much farther will Jada walk after 3 hours? Explain your reasoning

Answers

If they start walking at the same Time Jada will be .6 miles ahead of Elena

Consider points A(2,3) and B(6,9). Find point C on the x-axis so AC + BC is a minimum. The point that minimizes AC + BC is C ( , ).

Answers

Answer:

the point C(x,0) = C(3,0) is the point where AC + BC is minimum.

Step-by-step explanation:

Solution:

This question is very simple to solve.

We need to find the x and y elements of point C, which is on the x-axis such that AC + BC = minimum.

So,

As, we have said that, point C is on the x-axis then, it means its y co ordinate will be equals to zero.

Now, we just need to find x co ordinate of the point C.

C (x, 0) as it is on the y -axis.

So, for that, we need to take the mirror image of point B. It means, its x co-ordinate will remain same but y co-ordinate will be negative.

So, our mirror image of B(6,9) = B'(6,-9)

Now, we have to join the points A and B'. Point C, which we are trying to find is the point where this line AB' intersects with x - axis.

So,

Slope of the line AB'

m = [tex]\frac{y1-y2}{x1-x2}[/tex]

m = [tex]\frac{3- - 9}{2 - 6}[/tex] =  [tex]\frac{3+9}{2-6}[/tex]

m = [tex]\frac{12}{-4}[/tex] = -3

m = slope = -3

We also know that the equation of line:

y = mx + b

where b = y-intercept.

Now, we need to find the y - intercept of this line.

y = (-3) x + b

where y = -9 and x = 6

so,

-9 = (-3) (6) + b

b = -9 + 18

b = 9 = y - intercept.

SO,

y = mx + b

and For point C(x, 0) y = 0

0 = -3x + 9

Solve for x:

3x = 9

x = 3

Hence, the point C(x,0) = C(3,0) is the point where AC + BC is minimum.

Addison prepared 30 kilograms of dough after working 3 hours. How many hours did Addison work if she prepared 50 kilograms of dough? Assume the relationship is directly proportional.

Answers

Answer:

Addison worked 5 hours

Step-by-step explanation:

Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

y = kx

Where k is the constant of proportionality.

The relationship between the number of kilograms of dough Addison prepares (y) is proportional to the number of hours he works on it (x).

Knowing he prepared y=30 kilograms of dough after t=3 hours, we substitute in the function:

30 = 3k

Solving for k:

k = 30/3 = 10

The relationship is:

y = 10x

If he prepared y=50 kg of dough, then:

50 = 10x

Solving for x

x = 50/10 = 5

Addison worked 5 hours

IMMEDIATE HELP PLEASE, IT IS TIMED!!!!

True or False questions


3t + 7 = 3t + 6 Has NO Solution


5x - 6 = 3x - 6 + 2x Has NO solution


5+5b - 3 = 2 + 5b Has infinity many solutions


When an equation has one solution, the variable terms on both sides are the same.

Answers

Step-by-step explanation:

True

When an equation has one solution,The variable terms on both sides are the same

Answer:

true

hope it helps

thank you.....

help me please:( please

Answers

Answer: In that equation, the -30 represents the rate of change.

Step-by-step explanation

Simplify (-56) = 7.
o
O A-8
O B. 9
O a -9
O
D. 8

Answers

Answer:

Step-by-step explanation:

o=-8

-56=7*(-8)=-56

What is 25.5 x 1.8 helppppp

Answers

Answer:

the answer is 45.9

Step-by-step explanation:

Answer:

45.9

Step-by-step explanation:

A system of equations that consist of parallel lines has
all the answers that apply)
.. (select
2
no solutions
an infinite number
of solutions
one solution

Answers

Answer:

no solutions or infinite solutions

Step-by-step explanation:

The sum of two integers is +15 and one of them is - 7. Which is the next integer?
(a)
| Math Links Book 7
Earlohydrata Giuse
Sodium / Sodium 50 mg

Answers

Answer:

22

Step-by-step explanation:

Sum of two integers is 15. One integer is -7 and suppose other integer is x. Then  

x+(-7)=15

x=22

The sum of Randy’s age and Mike’s age is 41. The difference of their ages is 7. Mike is older than Randy.
Let r represent Randy’s age and let m represent Mike’s age. Write two equations that represent the sum and difference of their ages. Part B. Find Mike’s age

Answers

Answer: 41-7=m

Mike is 34 yrs

Step-by-step explanation:

Simplify the expression 1/6(12x-30)+18x

Answers

the answer is 20x-5 because you have to distribute the 1/6 to both numbers in the parenthesis and then combine all like terms

2x + 1 =5
What does x=

Answers

Answer:

2

Step-by-step explanation:

2x + 1 =5

2x=4

x=2

First isolate the term containing x which is 2x.

Subtract 1 from both sides to get 2x = 4.

Since x is being multiplied by 2, divide both sides by 2 and we have x = 2.

find two solutions for the equation 2x + y = 3​

Answers

Answer:

x=(3-y)/2  

y=3-2x)

Step-by-step explanation:

2x+y = 3

x=(3-y)/2

y=3-2x)

Answer:  [tex]X =\frac{3-y}{2}[/tex]  OR  [tex]y = 3 - 2x[/tex]

Step-by-step explanation:

y = 3x - 7
Is it linear or exponential

Answers

Answer:

Linear

Step-by-step explanation:

The equation y = 3x - 7 is a linear.

A linear equation represents a straight line on a graph, where the variables (in this case, x and y) have a linear relationship.

The equation has a constant coefficient (3) multiplying the variable (x), and a constant term (-7) added or subtracted.

An exponential equation involves variables in the exponent, such as

y = abˣ, where a and b are constants.

The variable x is in the exponent, indicating exponential growth or decay.

Since the equation y = 3x - 7 has a linear relationship and represents a straight line, it is classified as a linear equation.

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The cable company takes an SRS of 250 of the approximately 15,000 households who subscribe to them. They found that 75, percent of the sampled households watch sports on television at least once a month. The company is considering taking more samples like this. Suppose that it is actually 70, percent of their total subscribed households who watch those sports.
Let p represent the proportion of a sample of 250 households that watch sports on television at least once a month.
What are the mean and standard deviation of the sampling distribution of p?

Answers

Answer:

The mean of the sampling distribution of p is of 0.7 and the standard deviation 0.029

Step-by-step explanation:

We use the Central Limit Theorem to solve this question. So

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Percentage of 70%, sample of 250.

This means that [tex]p = 0.7, n = 250[/tex]

Mean:

[tex]\mu = p = 0.7[/tex]

Standard deviation:

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.7*0.3}{250}} = 0.0290[/tex]

The mean of the sampling distribution of p is of 0.7 and the standard deviation 0.029

Answer:

μp^ ​​​​= 0.7

σp^ = √0.7(0.3)/250​​​

Step-by-step explanation:

I had this question on khans

A group of friends were working on a student film that had a budget of $1200. They used 63% of their budget on equipment. How much money did they spend on equipment?

Answers

Answer:

0.63

Step-by-step explanation:

A bracelet that regulaurly sells for $44 is on sale for 25% off. Find the sale price of the bracelet.

Answers

Since it is on sale of 25% then it is 25% off. So minus 100% by 25% which is 75%
Then u find 75% of 44 the. Then answer you get it is the final answer.

Pls be honest I’ll mark u

Answers

Answer:

C) 10

Step-by-step explanation:

The answer to this is 10.

7x+3y=-21 in slope intercept form​

Answers

Answer:

[tex]y= -\frac{7}{3}x -7[/tex]

Step-by-step explanation:

Answer:

y

=

7

3

x

7

Step-by-step explanation:

Brainliest?

F(t) = 212 - 61


what the value of t when F(t)= 140 ?

Answers

Answer:

[tex]t = -7\ \ \ or\ \ t = 10[/tex]

Step-by-step explanation:

Given

[tex]f(t) = 2t^2 - 6t[/tex]

Required

Find t, when [tex]f(t) = 140[/tex]

Substitute 140 for f(t) in [tex]f(t) = 2t^2 - 6t[/tex]

[tex]140 = 2t^2 - 6t[/tex]

Divide through by 2

[tex]\frac{140}{2} = \frac{2t^2 - 6t}{2}[/tex]

[tex]70 = t^2 - 3t[/tex]

[tex]t^2 - 3t = 70[/tex]

Subtract 70 from both sides

[tex]t^2 - 3t - 70= 70 - 70[/tex]

[tex]t^2 - 3t - 70= 0[/tex]

Expand

[tex]t^2 -10t + 7t - 70 = 0[/tex]

Factorize:

[tex]t(t - 10) + 7(t - 10) = 0[/tex]

[tex](t + 7)(t - 10) = 0[/tex]

Split:

[tex]t + 7 = 0\ \ \ or\ \ t - 10 = 0[/tex]

[tex]t = -7\ \ \ or\ \ t = 10[/tex]

Hence, the values of t are -7 and 10

In EFG e=2.6 cm f =7.2 cm and g=8.3 cm find the measure of

Answers

Sorry I need a point

A principal of S4800 is invested at 9% Interest, compounded annually. How much will the investment be worth after 7 years?
Use the calculator provided and round your answer to the nearest dollar.
sil
Х
$
?

Answers

Answer:

$8775 is the value of the investment after seven years

Select the correct answer. What is the value of x?
log2(x+7)=2
a. -3
b. 11
c. 250
d. 22

Answers

The answer is b (-3)

Alonzo deposited $4800 into a traditional IRA that grew to $9900 at his

retirement. If Alonzo is currently in the 25% tax bracket and is 75 years old,how much tax will he have to pay when he withdraws the entire $9900?

A. $1200

B. $3675

c. $0

D. $2475

Answers

Answer:

$2,475

Step-by-step explanation:

Given that :

Worth of IRA retirement = $9900

Alonzo's tax bracket = 25%

Amount to be paid as tax upon withdrawal :

25% * $9900

0.25 * $9900

= $2,475

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