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goblinko [34]
3 years ago
9

Given: AB is parallel to CD, Prove: trIangleABC cong triangleCDA Please help, need to complete this work soon. All give

in photo.

Mathematics
1 answer:
Schach [20]3 years ago
8 0

Answer:

1. Given

2. Alternate interior angles theorem

3. Reflexive property of congruence

4. Alternate interior angles theorem

5. ASA triangle congruence theorem

Step-by-step explanation:

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Shelby has Five-sixths of a gallon of water in a container. She pours One-sixth of a gallon of the water into a second container
prisoha [69]

Answer:

3/6 or 1/2

Step-by-step explanation:

Since Shelby has 5/6 of water in her original container and she pours 1/6 of water into the second container she would now have 3/6 or 1/2 of water left in the original container.

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4 0
3 years ago
Two sides of a triangle are 5 and 55 cm. Complete the inequality to show the possible lengths of the third side. If the third si
belka [17]

The third side of the triangle falls between (50, 60).

<h3>How to find the third side of a triangle?</h3>

Inequality triangle theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.

Therefore, the other two sides are 5 cm and 55 cm. The range of the third side x can be computed using inequality triangle theorem.

Hence,

x < 5 + 55

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And,

x > 55 - 5

x > 50

Therefore, 50 < x < 60.

Hence, the third side of the triangle falls between (50, 60).

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8 0
1 year ago
A sphere and a cone have the same volume. The sphere has a radius x and height y. The cone has a radius of 1/2x. Find the height
notka56 [123]

Answer:

h = 16x

Step-by-step explanation:

The volume of a sphere and a cone is same such that,

V_s=V_c\\\\\dfrac{4}{3}\pi r^3=\dfrac{1}{3}\pi R^2h

We have, r = x, R = (1/2)x, h= ? (height of the cone)

So,

\dfrac{4}{3}\pi x^3=\dfrac{1}{3}\pi (\dfrac{x}{2})^2h\\\\4x^3=\dfrac{x^2}{4}h\\\\h=\dfrac{16x^3}{x^2}\\\\h=16x

So, the height of the cone is equal to 16x.

8 0
3 years ago
Find the sum of the polynomials: (x2 + 4x + 5) + (3x – 3)
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+2x6 + 4x5 + x4 + 11x3 + 2x2 + 4x + 4

6 0
3 years ago
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The formula for calculating simple interest is I = prt. Which is the equivalent equation solved for r? StartFraction I Over p t
xxTIMURxx [149]

Answer: r = I/pt

Step-by-step explanation:

Interest divided by the principal × time gives the rate. It's usually expressed as a percentage per year.

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3 years ago
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