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cestrela7 [59]
3 years ago
14

Which THREE statements are correct for the angles shown on the figure?

Mathematics
1 answer:
podryga [215]3 years ago
7 0

Answer:

A D E

Step-by-step explanation:

the figure shows that ABC is 90 degrees. So the two smaller angles add to 90 making A correct. (B isn't for obvious reasons - 180 is not 90.)

x + 4x - 85 = 90               Solve this to find the other 2 correct statements

5x - 85 = 90                    Add 85 to both sides.

5x = 90 + 85                    Combine

5x = 175                            Divide by 5

5x/5 = 175/5

x = 35

Since ABD is a single x, that statement (D) is true.

4x - 85 = 4*35 - 85 = 140 - 85 = 55 which makes E true as well

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Answer:

\Large \boxed{{y=\frac{3}{2} }}

Step-by-step explanation:

y = 3 - xy

Let x = 1

y = 3 - (1)y

Expand brackets.

y = 3 - y

Add y to both sides.

2y = 3

Divide both sides by 2.

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Describe two ways to solve the equation 2(4x-11)=10
shtirl [24]
2(4x-11) = 10

On dividing 2 on both sides

\frac{2(4x-11)}{2} =  \frac{10}{2}

4x-11 = 5

On Adding 11 on both sides:

4x-11+11 = 11+5

4x = 16

On dividing both side by 4

\frac{4x}{4}  =  \frac{16}{4}

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Second way is:

We can use distributive property as

2(4x-11) = 10

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On dividing both side by 8

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6 0
3 years ago
I looked at a video about dividing by zero, but I dont understand this question. Couldnt x=-4 also be undefined?
Butoxors [25]

x = -4 is not undefined because f(x) = x+4 is in the top part, the numerator, not the denominator. So the value that makes f(x) = x + 4 zero does not result in a division by zero.

Indeed, if we try to evaluate (f/g)(-4), then we get

  \displaystyle\left( \frac{f}{g}\right)(-4) = \frac{f(-4)}{g(-4)} = \frac{-4+4}{-4-3} = \frac{0}{-7} = 0,

which does not involve a division by zero.

However, attempting to evaluate (f/g)(3) leads us to

  \displaystyle\left( \frac{f}{g}\right)(3) =\frac{3+4}{3-3} = \frac{7}{0},

which involves a division by zero, and divisions by zero are undefined


3 0
3 years ago
I need help please and thank you
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The area of the trapezoid is 77 inches^2
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