If BD and EG are parallel lines and m<DCF = 125°, what is m<DCA? help asap​

Answer:

x = 10/9

Step-by-step explanation:

Solve for x:

(4 x)/5 + 4/3 = 2 x

Put each term in (4 x)/5 + 4/3 over the common denominator 15: (4 x)/5 + 4/3 = (12 x)/15 + 20/15:

(12 x)/15 + 20/15 = 2 x

(12 x)/15 + 20/15 = (12 x + 20)/15:

(12 x + 20)/15 = 2 x

Multiply both sides by 15:

(15 (12 x + 20))/15 = 15×2 x

(15 (12 x + 20))/15 = 15/15×(12 x + 20) = 12 x + 20:

12 x + 20 = 15×2 x

15×2 = 30:

12 x + 20 = 30 x

Subtract 30 x from both sides:

(12 x - 30 x) + 20 = 30 x - 30 x

12 x - 30 x = -18 x:

-18 x + 20 = 30 x - 30 x

30 x - 30 x = 0:

20 - 18 x = 0

Subtract 20 from both sides:

(20 - 20) - 18 x = -20

20 - 20 = 0:

-18 x = -20

Divide both sides of -18 x = -20 by -18:

(-18 x)/(-18) = (-20)/(-18)

(-18)/(-18) = 1:

x = (-20)/(-18)

The gcd of 20 and -18 is 2, so (-20)/(-18) = (-(2×10))/(2 (-9)) = 2/2×(-10)/(-9) = (-10)/(-9):

x = (-10)/(-9)

Multiply numerator and denominator of (-10)/(-9) by -1:

Answer: x = 10/9

Answer:

13.0 trillion pounds of carbon dioxide

Step-by-step explanation:

5.877 ÷ 0.4536 = 12.9563492063

rounded to 1 decimal place =

13.0 trillion pounds of carbon dioxide

The carbon dioxide released by United States is 12.9563 trillion pounds

In math, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons.

Now it is given that,

Amount of carbon dioxide released by United States = 5.877 billion metric tons

It is also given that,

1 trillion pounds = 0.4536 billion metric tons

So, 1 billion metric tons = (1/0.4536) trillion pounds

Thus, 5.877 billion metric tons =  (5.877/0.4536) trillion pounds

⇒ 5.877 billion metric tons =  12.9563 trillion pounds

Thus, the carbon dioxide released by United States is 12.9563 trillion pounds

To learn more abut conversion:

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Answer:

The value of x is 4 and the value of y is 9

Step-by-step explanation:

In the attached pictures we can see that two lines are intersecting with each other and four angles are form. The angles opposite to each other are also called vertical angles.

The opposite pairs of angles are:

(10x-4)° and 6(x+2)°

(18y-18)° and 16y°

When two lines intersect each other, the vertical angles formed are congruent(Can also be called equal in measurement)

So,

[tex]10x-4=6(x+2)\\10x-4 = 6x+12[/tex]

Subtracting 6x from both sides

[tex]10x-4-6x = 6x+12-6x\\4x-4 = 12[/tex]

Adding 4 on both sides

[tex]4x-4+4 = 12+4\\4x = 16[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4} = \frac{16}{4}\\x = 4[/tex]

AND

[tex]18y-18=16y[/tex]

Adding 18 on both sides

[tex]18y-18+18 = 16y+18\\18y = 16y+18[/tex]

Subtracting 16y from both sides

[tex]18y-16y = 16y+18-16y\\2y = 18[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2} = \frac{18}{2}\\y = 9[/tex]

Hence,

The value of x is 4 and the value of y is 9

B.

you can eliminate A and D because grades are distributed by 100. and c only has 4.85 when the question says she made a 48.5

Given :

Distance of firefighter from the building, D = 33 feet.

Height of building, h = 45 feet.

To Find :

The angle of elevation of the cat.

Solution :

Let, angle of elevation is Ф.

We know, tan Ф = h/D

tan Ф = 45/33

Ф = tan⁻¹( 45/33 )

Ф = 53.75°

Therefore, angle of elevation is 53.75° .

Hence, this is the required solution.

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the total customers are 250 in number

and that 10% of customers made additional purchase.

Step two:

what we intend to find is the number that 10% represent in 250

this is shown as

=10/100*250

=0.1*250

=25

The number of customers that made an additional purchase is 25

Answer:

25

Step-by-step explanation:

Answer:

Total cost= $31

Step-by-step explanation:

Giving the following information:

The rental fee for a mo-ped was $10 plus $7 for each hour he used the bike.

First, we need to structure the total cost formula:

Total cost= 10 + 7h

h= number of hours

Now, for 3 hours:

Total cost= 10 + 7*3

Total cost= $31

Answer:

In 3 years, you will have $4,408.99

Step-by-step explanation:

The formula used in the compound interest calculator is A = P(1+r/n)^(nt)

A = the future value of the investment

P = the principal investment amount

r = the interest rate (decimal)

n = the number of times that interest is compounded per period

t = the number of periods the money is invested for

Answer:

3.74

Step-by-step explanation:

Count, N: 4

Sum, Σx: 32

Mean, μ: 8

Variance, σ2:  14

Hope this helped!

Answer:

First finish the brackets

21+9=30

30=30

So, it’s true

Step-by-step explanation:

Answer:

you got the right answer it equals 30

Step-by-step explanation:

i think that is what your asking and the answer is already correct

but you distribute the 3 into the 7 so you would do 3x7+9 and that would give you 30

Answer: your Answer is $75 dollars.

Step-by-step explanation:

$25 + $50 = $75

Answer:

[tex]C = 50x + 25[/tex]

Step-by-step explanation:

The $50 charge can be interpreted as the slope, as it varies based on the amount of time the service takes. The $25 can be interpreted as the y-intercept, as you'll get charged $25 no matter how long the service takes. Thus, we can plug these values into the slope-intercept form equation.

[tex]y = mx + b\\C = 50x + 25[/tex]

Answer:

8

the answer is 806

Step-by-step explanation:

840-36=806

Answer:

greatest value of X = 12

Area of square = 144 cm²

Step-by-step explanation:

The greatest value of X will be the highest common factor of 48 and 60 since we are told that the rectangle is divided into squares.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The highest common factor between both factors of 48 and 60 is 12.

Thus,

greatest value of X = 12

Area of square = 12 × 12

Area of square = 144 cm²

Answer:

To write an expression, we often have to interpret a written phrase. For example, the phrase “ 6 added to some number” can be written as the expression x + 6, where the variable x represents the unknown number.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

You add .3 km to the first day (tuesday)

then .6 then next day (wedneday)

next you add .9 on the next day (thursday)

finally you add 1.2 km on Friday

2.3+0.6+0.9+1.2=4 km

Answer:

Dividing both sides of 5x = 4 by 5 yields x = 4 _. 5 . The value of x can now be ... tuting −1 for a into the equation b = –a + 3 gives b = −(−1) + 3, or b = 4. ... ___. 82 − (2i)2 . Since i2 = −1, this can be simplified to 24 − 6i − 40i − 10. __.

hope this helps also Brainliest please:)

Answer:

b=7a+4z

Step-by-Step Explanation

I just took the test, this is right, but I'll give you a step-by-step because I want a Brainiest :D

b-4z over 7=a    

Multiply both sides by 7

b-4z=7a

Aded 4z to both sides

Your answer is b=7a+4z

Please give me Brainiest!!!!

Answer:33

Step-by-step explanation:

Answer:

- 4.683

Step-by-step explanation:

Given that:

Slope of regression line = 2.334

Mean of x coordinate = 6.607

Mean of y coordinate = 10.738

Y value of the y intercept of the line :

The value of the intercept can be obtained using the the relation :

Mean of y coordinate - slope(mean of x coordinate)

Ybar - slope(xbar)

10.738 - 2.334(6.607)

= −4.682738

= - 4.683 ( 3 decimal places)

Hence, intercept = - 4.683

Answer:

- 4.683

Step-by-step explanation:

Answer:

2 and 1/5 is greater than 2.15

Step-by-step explanation:

This is true because 1/5 is equal to .20 which is greater than .15

Answer:

B, >

Step-by-step explanation:

2 1/5

2*5= 10+1= 11

11/5 vs 2.15

2.2 vs 2.15

2.2 > 2.15

Answer:

D) 117

Step-by-step explanation:

All angles of a triangle will always add up to 180 degrees. Thus, 22 + 41 = 63, 180 - 63 = 117.

Answer:

need this as quick as possible pls

Step-by-step explanation:

Answer:

[tex]f(-8)=-2[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=\frac{x}{4}[/tex]

And we want to find f(-8).

So, simply substitute -8 for x. This yields:

[tex]f(-8)=\frac{-8}{2}[/tex]

Divide:

[tex]f(-8)=-2[/tex]

Hence, our answer is -2.

Answer: "Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"."

Step-by-step explanation: I got this from a website. Hope it works!!!

Answer:

Your answer is A) =

Step-by-step explanation:

100 - 2(20)

100 - 40 = 60

3(20) = 60

Answer:

m=1.5 b=4

Step-by-step explanation:

Answer: no Tony is not correct It is less than 5 hundred dollars.

Step-by-step explanation: 8×37=296 +200 = 496

Answer:

38

Step-by-step explanation:

The solution to the inequality is x Greater-than-or-equal-to 37.5.

For this situation, only whole number solutions make sense.

Tony needs to round up to 38.

Answer:

[tex]Chocolate\ Weight = \frac{2}{3}kg[/tex]

Step-by-step explanation:

Given

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

[tex]Chocolate = \frac{1}{4}[/tex] of the candies

Required

Determine the weight of the chocolate pretzels ---- This completes your question

To determine the weight, we simply multiply the fraction of chocolates by the total weight of the candies.

i.e.

[tex]Chocolate\ Weight = \frac{1}{4} * 2\frac{2}{3}[/tex]

Convert Fraction

[tex]Chocolate\ Weight = \frac{1}{4} * \frac{8}{3}[/tex]

[tex]Chocolate\ Weight = \frac{1 * 8}{4 * 3}[/tex]

[tex]Chocolate\ Weight = \frac{8}{12}[/tex]

Simplify

[tex]Chocolate\ Weight = \frac{2}{3}kg[/tex]

Answer:

(f + g)(x) means f(x) + g(x)

General Formulas and Concepts:

Alg I

Alg II

Step-by-step explanation:

(f + g)(x) is the number form of "f plus g of x", meaning that we add the functions f and g together respect to x.

Another way to write (f + g)(x) is f(x) + g(x), which is the number form of "f of x plus g of x", still meaning that we are adding the 2 functions together.

Answer:

148

Step-by-step explanation:

Sa=2(lw+lh+wh)

Sa=2(4*5+4*6+5*6)

148=2(4*5+4*6+5*6)

Answer:

100 cm sq

Step-by-step explanation:

The answer is 100 cm sq because the formula would be:

SA= Ph + 2B

Sa= 10 x 6 + 2 x 20 (5 x 4)

SA= 60 + 40

SA= 100 cm sq

Please make me brainliest!!!