Given: ∠H and ∠X are supplementary. Prove: l || n

Answers

Answer 1

Answer: I won't write out a formal proof; here's an outline.

H+X=180. definition of supplementary
H+F=180 crossing lines
X=F supplements of the same angle are equal, or just algebra
l || n When the alternate angles of a transverse line between two lines are congruent, the lines are parallel

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in a cylinder cup, AB=5cm, BC= 12cm. AD is a straw that passes point A and C and CD= 2cm. the length of the straw is:

Answers

Answer:

17.13 cm.

Step-by-step explanation:

In the given scenario, we have a cylinder cup with points A, B, and C, and a straw AD that passes through points A and C. The measurements are as follows:

AB = 5 cm

BC = 12 cm

CD = 2 cm

We can use the Pythagorean theorem to find the length of the straw AD. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, AD is the hypotenuse, and AC and CD are the other two sides. We can write the Pythagorean theorem equation as:

AD^2 = AC^2 + CD^2

Given that AC is the sum of AB and BC:

AC = AB + BC

AC = 5 cm + 12 cm

AC = 17 cm

Now we can substitute the values into the Pythagorean theorem equation:

AD^2 = 17^2 + 2^2

AD^2 = 289 + 4

AD^2 = 293

Taking the square root of both sides to solve for AD:

AD = √293

AD ≈ 17.13 cm

So, the length of the straw AD is approximately 17.13 cm.

Answer:

17.13 cm.

Step-by-step explanation:

Find the value of the expression 3m2 2p2 − 15 when m = 3 and p = 10.

Answers

I think you want to say the expression 3m2+2p2-15. The only thing you need to do is to replace the letter with the number. So the expression is 3*3^2+2*10^2-15=212.

14 to 21= ___ to 15 help me find the ratio

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14 / 21 = X/15 => X = 14 * 15 / 21 => divide by 7 => 2 * 15 / 3 => divide by 3 => 2 * 5 / 1 => 10

Solving
the equation -3(y - 5) = 24

Answers

Distribute
-3y+15=24
-15=-15
-3y= 9
-3 = -3
y=-3

-3(y-5)=24
First follow the distributive property and do the parentheses.
-3 times y gives you:-3y
-3 times -5 gives you 15 since a negative times a negative is a positve.
So now you have -3y +15 = 24
subtract 15 from both sides and you will get: -3y+15-15=24-15
which then gives you: -3y= 9
to get y by itself divide both sides by -3.
this gives you: y= -3

How can you use a quick picture to solve 3 x 2.7

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by saying to yourself what is 3×7 then 3×2 and you have yor answer

3 x 2.7 = 8.1

the answer is 8.1

What is 800 divided by 90

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88.89 is the answer to this question

800 ÷ 90 = 80 ÷ 9 = 8.88 or 80/9 :))
i hope this is helpful
have a nice day

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