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Harman [31]
3 years ago
8

Solve the following equation 13x+1=11x+8

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0
13x + 1 = 11x + 8

First, subtract 1 from both sides. / Your problem should look like: 13x = 11x + 8 - 1
Second, simplify 11x + 8 - 1 to 11x + 7. / Your problem should look like: 13x = 11x + 7
Third, subtract 11x from both sides. / Your problem should look like: 13x - 11x = 7
Fourth, simplify 13x - 11x to 2x. / Your problem should look like: 2x = 7
Fifth, divide both sides by 2. / Your problem should look like: x = \frac{7}{2}

Answer: x = \frac{7}{2}
Answer in decimal form: 3.5

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URGENT!!! please help me with these two problems, and solve with statement-reasoning. Thank you!!!
iren [92.7K]

Answer:

See below.

Step-by-step explanation:

By definition the median of the triangle bisects the  base of the isosceles triangle.

We need to prove that the 2 triangles formed by the median are congruent.

If the 2 triangles are ABD  and ACD  where BD is the median and < ABC is the angle from which BD is drawn.

BD = BD  ( the common side)

AD = DC ( because BD is the median).

AB =  AC ( because ABC is  an isosceles triangle).

So Triangles ABD and ACD are congruent by SSS.

Therefore  m < ABD = m <  CBD,  so BD is the bisector of < ABC.

To prove BD is also the altitude:

Triangles ABD and CBD are congruent as we have just proven. Therefore the

of measure of the base angle ABD = m < CBD . Also they are adjacent angles ( on the same line) so they add up to 180.

Therefore angles ABD and CBD are both  right angles and BD is the altitude of triangle ABC.

8 0
4 years ago
The first coordinate of the point ( - 3, 2) indicates the point is located
Tom [10]

Answer:

In the first coordinate

Step-by-step explanation:

6 0
3 years ago
Isaac shoveled 9 of his neighbors' driveways after a snow storm. He charged $25 for a short driveway and $45 for a long driveway
e-lub [12.9K]

Answer:

y($) =  405- 20x

Step-by-step explanation:

Number of short driveways = x

Number of long driveways = 9-x

Fee per long driveway = $45

Fee per short driveway= $25

Total amount = y

y ($) =  25x + 45 (9-x)

      =  25x  + 405 -45x

      = 405- 20x

5 0
4 years ago
A spinner has equal regions numbered 1 through 20. What is the probability that the spinner will stop on an odd number or a mult
klio [65]

Answer:

<em>Probability that the spinner will stop on an odd number or a multiple of 5 is </em><em>0.6</em>

Step-by-step explanation:

Probability = \frac{Required outcomes}{Total possible outcomes}

We are given the equal regions numbered from 1 through 20 which means that our total possible outcomes are 20

<em>Total possible outcomes: 20</em>


<em>Outcomes that spinner will stop on an odd number, n(Odd): 10</em>

1, 3, 5, 7, 9, 11, 13, 15, 17, 19

Probability of spinner stoping on Odd number:

P(Odd) = \frac{n(Odd)}{Total} = \frac{10}{20} = \frac{1}{2} = 0.5


Outcomes that spinner will stop on a multiple of 5, n(5): 4

5, 10, 15, 20

Probability of spinner stoping on multiple of 5:

P(5) = \frac{n(5)}{Total} = \frac{4}{20} = \frac{1}{5} = 0.2

Odd numbers which are a multiple of 5 are: 5 and 15

So,

P(Odd and 5) = \frac{2}{20}=\frac{1}{10}=0.1

Thus Probability of spinner stopping at odd number or a multiple of 5 becomes:

P(Odd or 5) = P(Odd) + P(5) - P(Odd and 5) = 0.5 + 0.2 - 0.1 = 0.6

7 0
4 years ago
PLEASE HELP !!!!!!!!!!!!
V125BC [204]
The answer would be b - associate w it
3 0
3 years ago
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