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2 years ago

I need help to figure this out?can someone help me?

Mathematics

1 answer:

prisoha [69]2 years ago

8 0

The definition of an angle bisector is a bisector that cuts an angle into two equal halves.

So BD bisects ∠ABC, therefore ∠ABD = ∠DBC

We can set the expressions inside them equal to each other, solve for x, and substitute it into the expressions again to find the total value of the angle.

4x - 15 = 3x + 12
- 3x - 3x
______________
x - 15 = 12
+ 15 + 15
______________
x = 27

So x = 27, we can plug this back into an expression and do the same with the second one and add them, or, because we know they are equal, just multiply two once we find the value of the first one.

4(27) - 15
= 108 - 15
= 93

Multiply 93 by 2.
93 x 2 = 186

Therefore m∠ABC is 186°

Hope this helps! :)

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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

Read 2 more answers

Can someone help please?

Alekssandra [29.7K]

Answer:

y=1X

Step-by-step explanation:

This is because the distance over the money made over the days worked is 2/2 which simplifies to 1 so that would be the one x. then the y intercept is found on the y axis where does the line cross the y axis? this would be at zero so you do not need to put that in the equation

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2 years ago

ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) i

mariarad [96]

Answer:

Step-by-step explanation:

ε = {x: 2≤ x ≤30}

M = { even numbers} = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

P = { prime numbers} = {2,3,5,7,11,13,17,19,23,29}

T = {odd numbers} = {3, 5, 7, 9, 11,13,15,17,19,21,23,25,27,29}

1. M ∪ P = {2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30}

2. M - T =

n(M) - n(T)

15- 14 = 1

3. P(MT)

(MT) = M ∩ T = 0

P ∪ (M ∩ T ) = {2,3,5,7,11,13,17,19,23,29}

4. P' = not a prime number

T' = not odd number = M

P' ∪(M∩T')

P' ∪ {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

= {2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

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a rectangler mirror has a length of 9.5 inches and a width of 7.5 inches. what's is c the area of v the mirror

Alexeev081 [22]

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eimsori [14]

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