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jarptica [38.1K]
1 year ago
8

What is the value of x that makes AB |I CD?

Mathematics
2 answers:
romanna [79]1 year ago
8 0
30

In order for AB to be parallel to CD, the two labeled angles must be equivalent. If we set the two expressions equal to each other and solve for x, we can find the value of x that makes angle AEF and angle EFD equivalent and therefore the lines AB and CD parallel.

2x + 40 = 3x + 10
40 = x + 10
30 = x

If the value of x were 30, both angles would be 100°
strojnjashka [21]1 year ago
3 0

Answer:

30°

30 is the value of x that’s makes AB//CD.

Step-by-step explanation:

the angles of measures 2x + 40 and 3x + 10 are two <u><em>Alternate interior angles </em></u>

If these two angle were congruent then the lines AB and CD

would be parallel .

2x + 40 = 3x + 10

⇔ 40 - 10 = 3x - 2x

⇔ 30 = x

⇔ x = 30

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Prove: Every point of S=(0, 1) is an interior point of S.
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Answer:

Proved

Step-by-step explanation:

To prove that every point in the open interval (0,1) is an interior point of S

This we can prove by contradiction method.

Let, if possible c be a point in the interval which is not an interior point.

Then c has a neighbourhood which contains atleast one point not in (0,1)

Let d be the point which is in neighbourhood of c but not in S(0,1)

Then the points between c and d would be either in (0,1) or not in (0,1)

If out of all points say d1,d2..... we find that dn is a point which is in (0,1) and dn+1 is not in (0,1) however large n is.

Then we find that dn is a boundary point of S

But since S is an open interval there is no boundary point hence we get a contradiction. Our assumption was wrong.

Every point of S=(0, 1) is an interior point of S.

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2 years ago
Dara needs 1/2 teaspoon of vanilla for a recipe. If she only has a 1/8 teaspoon to use for measuring, how many times must she fi
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5 0
2 years ago
What is true about the figure?
wlad13 [49]

Answer:

<A = 56degrees

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<C = 56degrees

Step-by-step explanation:

From tyhe diagram, the sum of m<C and m<D is 180degrees. Hence;

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<C + 124 = 180

<C = 180 - 124

<C = 56degrees

Also;

<B + 90 + <C = 180

<B + 90 + 56 = 180

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<B = 180 - 146

<B = 34degrees

Similarly;

<A + <B = 90

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6 0
2 years ago
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Rashid [163]

Answer:

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Step-by-step explanation:

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2 years ago
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Help me with this question
Lisa [10]

Answer:

The answer is y=-x+9.

The first thing to do is find where the line intercepts the y-axis, which is at positive 9 so you'll add a +9 to the end of your equation. Next you find the slope and since it's going down left to right, you know it is a negative. Now slope is found by change in y divided by change in x. And since both change and y and change in x are both 1, 1/1 is 1. And since you know it's negative that means the slope is -x. Altogether you get y= -x+9

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