If m CDE=(3x+10)° m CDF=(x+25)°, and m EDF= 65°. Find m CDF​

If M CDE=(3x+10) M CDF=(x+25), And M EDF= 65. Find M CDF

Answers

Answer 1

m∠CDF + mEDF = CDE

[tex]x + 25° + 65° = 3x + 10[/tex]

[tex]x + 90° = 3x + 10[/tex]

[tex]90° = 3x + 10 - x[/tex]

[tex]90° = 2x + 10[/tex]

[tex]2x + 10 = 90[/tex]

[tex]2x = 90 - 10[/tex]

[tex]2x = 80[/tex]

[tex]x = \frac{80}{2} [/tex]

[tex]x = 40°[/tex]

mCDE

= 3 × 40 + 10

= 120 + 10

= 130°

Then , m∠CDF =

[tex]x + 25 \\ = 40 + 25 \\ = 65°[/tex]

•°• mCDF = 65°


Related Questions

Tristan walks at a rate of 4 yards every 5 seconds. If Tristan continues to walk at the same rate, how long will it take Tristan to walk 72 yards?

Answers

Answer:

It will take him 90 seconds

Step-by-step explanation:

Divide 72 by 4 and then multiply that by 5. that will show you  how many seconds it take him to walk 73 yards

Convert 13000 milligrams into pounds. Round your answer to the nearest
hundredth.

Answers

Answer: 0.03

Step-by-step explanation:

It is 0 pounds if we round it of else it is 0.0287 pounds

4y + 3x = 5 solve for x

Answers

Answer:

Move all terms that don't contain  x  to the right side and solve.

x =  5 /3 −  4 y /3

Answer:4y+3x=5

Step 1: Add -4y to both sides.

3x+4y+−4y=5+−4y

3x=−4y+5

Step 2: Divide both sides by 3.

3x

3

=

−4y+5

3

x=

−4

3

y+

5

3

Step-by-step explanation:

expand and simplify 3(2x+1)+2(x+4)

Answers

Answer:

8x+11

Step-by-step explanation:

1. 6x+3+2x+8

2. 8x+11

Answer:

8x + 11

Step-by-step explanation:

3(2x+1)+2(x+4)

distribute the 3 & 2 within the parentheses. first, multiply 3 and 2x, then multiply 3 and 1 to get 6x + 3. next, multiply 2 and x, then multiply 2 and 4 to get 2x + 8. this gives you:

6x + 3 + 2x + 8

then add like terms (6x + 2x and 3 + 8) to get your simplified final answer:

8x + 11

Phil Dunphy, a real estate agent, is considering whether he should list an unusual $451,299 house for sale. If he lists it, he will need to spend $3,925 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $20,283. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 37%. What is the expected profit on this listing.

Answers

Answer:

The expected profit on the listing is $5031.96

Step-by-step explanation:

Given that:

The probability of selling the house in 6 months is p = 0.37

The probability of not selling the house = 1 - 0.37 = 0.63

Suppose Y represents the profit on the listing,

Then: the expected profit on the listing can be computed as:

E(X) = ($20283* 0.37) - ($3925*0.63)

E(X) = $7504.71 - $2472.75

E(X) = $5031.96

Thus, the expected profit on the listing is $5031.96

The expected profit on the listing is $5031.96.

Calculation of the expected profit:

Since

The probability of selling the house in 6 months is p = 0.37

The probability of not selling the house = 1 - 0.37 = 0.63

here Y means the profit on the listing,

So, the expected profit is

E(X) = ($20283* 0.37) - ($3925*0.63)

E(X) = $7504.71 - $2472.75

E(X) = $5031.96

Thus, the expected profit on the listing is $5031.96.

Learn more about profit here: https://brainly.com/question/24673559

h(x) = –24x + 53 + 3x2

Answers

Answer:

h=

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Step-by-step explanation:

How many whole numbers between 15 and 35 can be divided exactly by 6? options: (1)5 (2)2 (3)3 (4)4​

Answers

Answer:

4

Step-by-step explanation:

6,12,18,14,30,35 only four numbers that are between 15-35

why can’t i answer with only on word??
it’s option (3) 3

Jaylens betta fish holds 4 1/2 gallons of water. It takes him 1 7/8 minutes to fill it. What is the flow rate of the water in gallons per minute?

Answers

The flow rate of the water in gallons per minute is 2.5

Answer:

14/30 gallons

Step-by-step explanation:

5. Solve the polynomial equation:

Answers

Solution,

Given; x^3-7x^2-x+7=0

Using factor theorem,

we have,

i)x^3-7x^2-x+7=0

let's check whether 1 is the factor of given equation or not by replacing the value of x by one..

or, 1^3-7.1^2-1+7=0

or, 1-7-1+7=0(.°. Cancellation of +1&-1 and +7&-7 in equation)

.°.0=0

which proves that 1 is one of the factor of x

therefore(x-1) is a factor of x^3-7x^2-x+7=0.

Now,

Expanding the x^3-7x^2-x+7=0 to get (x-1) as a factor...

ii)x^3-7x^2-x+7=0

or,x^3-x^2-6x^2+6x-7x+7

or,x^2(x-1) - 6x(x-1) - 7(x-1) = 0

or,(x-1) (x^2-6x-7)w = 0

or,,(x-1) (x^2-(7-1)x-7) =0

or,,(x-1) (x^2-7x + x -7) =0

or,(x-1) [x(x-7)+1(x-7)] = 0

or,(x-1) (x+1) (x-7) = 0

Either,

i) x - 1=0

.°.x = 1

And,

ii)x + 1 = 0

.°. x = -1

Or,

iii) x - 7 = 0

.°.x =7

Hence, the required value of x are -1 ,+1 & 7.

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Answers

Answer:

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Step-by-step explanation:do 4.29+4.29 which eqauls8.58

Answer:

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Step-by-step explanation:

If you went with 4.29 per pound you would have to pay 8¢ more than 8.50 . You would have to pay 8.58 instead

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

-3^3 is -27

Answer:

x³ = -27

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Use the distributive property to write an equivalent expression to

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Answers

Answer:

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Step-by-step explanation:

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I hope this helps!

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

a^2

------

3

Step-by-step explanation:

5 a^3  / 15a

Simplify the numbers

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Simplify the variables

a^3 /a = a^2

Putting it back together

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------

3

2
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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

3 = 2 by z property

Step-by-step explanation:

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Please mark as brainliest

A fin whale is 150.25 feet below sea level. A bowhead whale is 105.7 feet below sea level. Which whale is further away from sea level? *

Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

The line goes up and down, which is, Horizontal and Vertical Lines

Vertical lines go up and down and have a slope that is undefined. Graphs of horizontal lines are parallel to the x-axis. Graphs of vertical lines are parallel to the y-axis.

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