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zimovet [89]
3 years ago
8

AB = 18.5, AX = 8.1 and BC = 18.5. What is the length of AC?

Mathematics
1 answer:
maxonik [38]3 years ago
6 0

Answer:

AC=16.2 units

Step-by-step explanation:

we know that

The triangle ABC is an isosceles triangle

so

AX=XC

because triangles ABX and CBX are congruents

AC=2*AX

see the attached figure to better understand the problem

therefore

AC=2*8.1=16.2 units

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The weight of an object on the moon is 1/6 of its weight on earth. If a moon rock weighs 20 1/2 lb on earth, how much did the ro
Pie

Step-by-step explanation:

20 1/2 = (20×2 + 1)/2 = 41/2.

to create 1/6 of that we have to multiply it by 1/6 :

41/2 × 1/6 = 41/12 = 3 5/12

the rock weighed 3 5/12 lb.

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I think it might be C
4 0
3 years ago
Can someone please explain how to do these?
Pani-rosa [81]

Answer:

<u>First question answer:</u> The limit is 69

<u>Second question answer:</u> The limit is 5


Step-by-step explanation:

For the first limit, plug in x=8 in the expression (9x-3), that's the answer for linear equations and limits.

So we have:

9x-3\\9(8)-3\\72-3\\69

The answer is 69


For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value x=1 into the simplified expression to get the correct answer. Shown below:

\frac{x^2+8x-9}{x^2-1}\\\frac{(x+9)(x-1)}{(x-1)(x+1)}\\\frac{x+9}{x+1}

<em>Now putting 1 in x gives us the limit:</em>

\frac{x+9}{x+1}\\\frac{1+9}{1+1}=\frac{10}{2}=5

So the answer is 5

3 0
3 years ago
An equation is shown below: 8x + 2(x – 7) = 7x + 3x – 14 Part A: Solve the equation and write the number of solutions. Show all
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Answer:

  1. Infinitely Many
  2. Distributive Property

Step-by-step explanation:

8x + 2(x - 7) = 7x + 3x - 14

8x + 2x - 14 = 7x + 3x - 14                 Distributive property.

10x - 14 = 10x - 14                              Combine the like terms.

-14 = -14                                             Subtraction.

0 = 0                                                  Addition.

Since the statement 0 = 0 is true regardless of the value of x, there is infinitely many solutions.

7 0
1 year ago
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