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4 years ago

Write a complete two-column proof for the following information given

Mathematics

1 answer:

rosijanka [135]4 years ago

5 0

Statement Reason

1. AB = x + 16 1. Given

BC = 4x + 11

AC = 77

2. AB + BC = AC 2. Segment Addition Postulate

3. x + 16 + 4x + 11 = 77 3. Substitution Property

4. 5x + 27 = 77 4. Simplification (added like terms)

5. 5x = 50 5. Subtraction Property of Equality

6. x = 10 6. Division Property of Equality

7. AB = 10 + 16 7. Substitution Property

8. AB = 26 8. Simplification (added like terms)

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Solve for y 5/8y = -1

dedylja [7]

Answer:

y = -8/5

Step-by-step explanation:

Step 1: Write equation

5/8y = -1

Step 2: Solve for y

Divide both sides by 5/8: y = -8/5

Step 3: Check

Plug in y to verify it's a solution.

Substitute: 5/8(-8/5) = -1
Multiply: -40/40 = -1
Divide: -1 = -1

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3 years ago

Juan read 300 pages in 5 days. Which reading rate is equivalent?

ivann1987 [24]

Answer:

a/150 is the most equivalent

Step-by-step explanation:

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4 years ago

Read 2 more answers

Which phrase represents the algebraic expression 3d+7?

Anna [14]

Answer:

3 multiplied by a variable d and add seven to it

Step-by-step explanation:

3 multiplied by a variable d and add seven to it.

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3 years ago

sand falls from an overhead bin and accumulates in a conical pile with a radius that is always four times its height. suppose th

blagie [28]

Answer:

$\frac{dv}{dt} =7239.168 cm/sec$

Step-by-step explanation:

From the question we are told that:

Rate $\frac{dh}{dt}=1cm$

Height $h=12cm$

Radius $r=4h$

Generally the equation for Volume of Cone is mathematically given by

$V=\frac{1}{3}\pi r^2h$

$V=\frac{1}{3}\pi (4h)^2h$

Differentiating

$\frac{dv}{dt} =\frac{16}{3}\pi3h^2\frac{dh}{dt}$

$\frac{dv}{dt} =\frac{16}{3}*3.142*3*12^2*1$

$\frac{dv}{dt} =7239.168 cm/sec$

7 0

3 years ago

How is 2-2×6+3=-7? The answer to this question

alekssr [168]

Answer:

PEMDAS

Step-by-step explanation:

Using PEMDAS or the order of operations, you first multiply 2 by 6

2-2×6+3

2-12+3

Then you can go in any order since addition and subtraction take the same precedence.

-10+3=-7

5 0

4 years ago