All categories

3 years ago

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

Mathematics

1 answer:

loris [4]3 years ago

4 0

Answer:

The answer to your question is below

Step-by-step explanation:

Data

AB = 3y - 1

BC = 7y

AC = 29

Prove AB = 8

AB + BC = AC

3y - 1 + 7y = 29

10y -1 = 29

10y = 29 + 1

10y = 30

y = 30/10

y = 3

AB = 3y - 1

= 3(3) - 1

= 9 - 1

= 8

You might be interested in

Meredith lives 24 blocks away from her friends house if she travels 1 block every minute how many minutes will it take her to re

Morgarella [4.7K]

For one block every minute, it should be 24 minutes and for 2 blocks per minute, it should be 12 minutes.

7 0

3 years ago

Can someone help me with my homework please!

Bezzdna [24]

Answer:

(-1, 4)

Step-by-step explanation:

In the figure attached,

Ordered pair representing point P is (3, 4) [parallel to y-axis]

If this point has been reflected across a line x = 1

New point after reflection across x = 1 will be,

P(3, 4) → P'(-1, 4)

Since point P and P' will be equidistant from the line (x = 1), so the x ordinate of P' will be = 3 - 4 = -1

And y-ordinates of point P' will be same as y = 4

5 0

3 years ago

How do you solve this

fiasKO [112]

(((x + y) / 3) + (1 / x)) / (5 + (15 / x))
The best way is to make it one fraction.
Multiply by ((3x/3x) / (3x/3x)) to remove the other fractions.
((x(x + y)) + 3(1)) / (5(3x) + 3(15))
(x^2 + xy + 3) / (15x + 45)
Then factor to simplify
(x^2 + xy + 3) / (3(x + 15))

4 0

3 years ago

Can someone explain which one it is and how they got the answer

VladimirAG [237]

Option D:

Measure of arc BEC = 228°

Solution:

Given angle A = 114° and vertical angle of A = 0.

<em>If two chords intersect inside the circle, then the measure of each angle is one half of the sum of the measures of the arcs intercepted by the angle and its vertical angle.</em>

$$\Rightarrow \angle A = \frac{1}{2} (ar \ BEC + vertical \ ar A)$

$$\Rightarrow 114^\circ = \frac{1}{2} (ar \ BEC + 0)$

$$\Rightarrow 114^\circ = \frac{1}{2} (ar \ BEC)$

Multiply by 2 on both sides, we get

$$\Rightarrow 2\times 114^\circ = 2\times \frac{1}{2} (ar \ BEC)$

$$\Rightarrow 228^\circ = (ar \ BEC)$

Measure of arc BEC = 228°

Option D is the correct answer.

8 0

3 years ago

To find the volume of a rectangular prism, you can use the formula of V = l w h. A rectangular prism has a volume of 60 cubic ce

anzhelika [568]

Answer:

W = 4

Step-by-step explanation:

The nice thing about algebra is that you can look for any variable in an equation as long as you have the number for the other variables.

1. Write our the equation. V = l w h

2. Put in as many numbers as you can. 60 = 5 w 3

3. Isolate the variable. To do that perform the mathematical opposite to the target on both sides. So to get rid of five, we have to divide it on both sides of the equal sign.

60/5 = w 3

12/3 = w

4 = w

The width is 4cm

7 0

4 years ago