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3 years ago

Line segments AB and CD are

Mathematics

1 answer:

dalvyx [7]3 years ago

8 0

Answer:

x = 16 or -2

Step-by-step explanation:

If both lines are congruent, their magnitudes are equal.

To find the magnitude of a line, the equation to use is;

D = √(x2-x1)^2 + (y2-y1)^2

So for AB, we have

D = √(-2 + 11)^2 + (5 + 3)^2

D = √81 + 64 = √145

For the second line

The distance would be;

D = √x-7)^2 + (9-1)^2

D = √(x-7)^2 + 8^2

Equate both magnitude

√145 = √(x-7)^2 + 64)

Simply remove the square roots on both sides

145 = 64 + (x - 7)^2

145 -64 = (x -7)^2

81 = (x-7)^2

Thaw the square root of both sides

x - 7 = 9

or x -7 = -9

x = 9 + 7 or x = -9 + 7

x = 16 or -2

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If x and y are odd numbers such that 10<x<y14, what is value of x+y?

wel

I will suppose that your queation is 10<x<y<14
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which are 11 and 13
since x is smaller than y
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3 years ago

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Answer:

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3 years ago

tyra has 12 2/3 cups of sugar. if r is the amount of sugar needed for one batch of cookies, the expression 12 2/3 ÷ r can be use

olga nikolaevna [1]

ANSWER

She can make 19 batches of oatmeal.

EXPLANATION

First we can change the mixed number into an improper fraction:

$12\frac{2}{3}=12+\frac{2}{3}=\frac{12\cdot3}{3}+\frac{2}{3}=\frac{36}{3}+\frac{2}{3}=\frac{38}{3}$

In this problem, r = 2/3. The division is:

$12\frac{2}{3}\div r=\frac{38}{3}\div\frac{2}{3}$

Using the KFC rule:

$\frac{38}{3}\div\frac{2}{3}=\frac{38}{3}\times\frac{3}{2}$

Solving we can see that the denominator of the first fraction can be simpliied with the numerator of the second fraction:

$\frac{38}{3}\times\frac{3}{2}=\frac{38}{1}\times\frac{1}{2}=\frac{38}{2}=19$

Tyra can make 19 batches of oatmeal with 12 2/3 cups of sugar.

6 0

1 year ago

What value is equivalent to 2 × 3 + 4 − 6^2?<br> A) -26<br> B) -22<br> C) -2<br> D) 10

Yuliya22 [10]

Answer:

-26

Step-by-step explanation:

2 × 3 + 4 − 6^2

PEMDAS

exponents are first in this equation

2 × 3 + 4 − 36

Then multiply

6 +4 -36

Then add and subtract from left to right

10-36

-26

3 0

3 years ago

Read 2 more answers

What are the missing sides and angles of this triangle? What is the area?

Butoxors [25]

This does not appear to be a right triangle. However, we know 2 sides and the included angle, so can find the unknown side length. Let x represent this length. Then:

x^2 = (9 m)^2 + (12 m)^2 - 2(9m)(12 m)*cos 30 degrees, or

x^2 = 81 + 144 - 216(sqrt(3) / 2). Please solve for x^2 and then solve the result for x, making sure to choose the positive value. The result will be the length of the side opposite the 30 degree angle.

With 1 of 3 angles known, and 3 of 3 sides known, you can use the Law of Sines to find the other two angles. As a reminder, the Law of Sines looks like this:

a b c
-------- = --------- = ----------
sin A sin B sin C.

You can give the 30-deg angle any name you want; then a, the length of the side opposite the 30-deg angle, which you have just found. And so on.

4 0

3 years ago