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2 years ago

Help please! Thanks

Mathematics

1 answer:

mina [271]2 years ago

5 0

Answer:

x = 50

Step-by-step explanation:

55 degrees + (2x + 25) degrees = 180 degrees

55 + 25 + 2x = 180

80 + 2x = 180

2x = 100

x = 50

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For items 15 -16 refer to the figure at the right

mash [69]

Answer:

15. C. segment AC

16. D. angles ACD and DCE

17. C. substitution

18. C. axiomatic systems

19. A. Axioms

20. D. Defined Terms

5 0

2 years ago

Instructions: Given the following image of two parallel lines cut by a transversal, find the value of x.

mash [69]

Answer:

First, these angles are alternate interior angles.

$10x - 5 = 9x + 1$

$x = 6$

Step-by-step explanation:

(10x - 5)° and (9x + 1)° are alternate interior angles. Thus, they are congruent to each other.

Thus, to find x, we will set each angle equal to the other.

$10x - 5 = 9x + 1$

Solve for x. Collect like terms

$10x - 9x = 5 + 1$

$x = 6$

8 0

2 years ago

Derive the equation of the parabola with a focus at (_5, 5) and a directrix of y = -1.

mars1129 [50]

Answer: Option D is correct.

Step-by-step explanation:

Since we have given that

focus = (-5,5)

and a directrix y= -1

Since, equation of parabola in this case will be

$(x-h)^2=4.a(y-k)$

Now, here

$y=k-a=-1\\\\\text { focus =(h,k+a)}\\\\\text{So,} k+a=5\\\\\text{ by solving these two equation , we get }\\\\a=3\text{ and } k=2$

So equation will be

$(x+5)^2=4\times 3(y-2)\\\\(x+5)^2=12(y-3)\\\\y=\frac{1}{12}(x+5)^2+2$

So, option D is correct .

4 0

2 years ago

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HELP ME SOMEONE PLEASE :(

Lemur [1.5K]

Answer: The answer is A.

Step-by-step explanation:

The formula for the area of circles:

A = πr^2

Plug in the radius

A = π8^2

A = π64

A = 201.06192983/ 201 (rounded)

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2 years ago

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The time it takes to drive to Joliet is 6 hours more than half the time it takes to drive to Davenport. It takes 8 hours to driv

Molodets [167]

It takes 8 hours to drive to Joliet, and that's 6 hours more than half the time it takes to drive to Davenport. So, I did 8-6 which equals 2. So 2 hours is half the time it takes to get to Davenport, which means it takes 4 hours to get to Davenport.

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2 years ago

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