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Sever21 [200]
3 years ago
15

I'm the diagram below abc-dec what is the value of x?

Mathematics
2 answers:
kolbaska11 [484]3 years ago
6 0

we know that

Triangles ABC and DEC are similar triangles

so

\frac{AB}{AC}   =\frac{ED}{DC}

substitute the values

\frac{42}{x}   =\frac{6}{32-x}

42*(32-x)=6*x

7*(32-x)=x

224-7x=x

8x=224

x=28

therefore

<u>the answer is</u>

The value of x is equal to 28

azamat3 years ago
4 0
X = 28

u have 2 similar triangles with a scale factor of 1/7
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2. If AB = 4x + 9. BC = 5x + 2, and AC = 56, then find the value for . AB, BC.<br> A<br> B
inysia [295]

Answer:

AB=29; BC=27

Step-by-step explanation:

So they told us AB=4x+9 and that BC=5x+2, and AC=56 , now to help with the question you can draw this information on a number line. Now on a number you can see that basically AC=AB+BC.

So you would write it as such,,

4x+9+5x+2=56

Combine like terms

9x+11=56

Now you have to isolate the x by itself but first get rid of the 11.

9x+11-11=56-11

You would get

9x=45

Here you can divide 9 by both sides to isolate x.

9x/9=45/9

{x=5}

Now to find the value for both substitue x in the equations for both

1. AB=4x+9 where x is 5

4(5)+9 =AB

20+9 =AB

29=AB

You would do the same with BC

2. BC= 5x+2 where x is 5

5(5)+2= BC

25+2= BC

27=BC

If you want to check your answers you can just substitute x for 5 in the first equation we did where AC=AB+BC

6 0
3 years ago
If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to (r/s)(6)?
zavuch27 [327]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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So, n = 1.10 X 1030 electrons

Each electron has a charge of 1.6 X 10-19 C, where C stands for Coulombs. So, the n electrons have a charge of q = ne = (1.10 X 1030 electrons) X (1.6 X 10-19 C/electron) = 1.76 X 1011 C.
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leonid [27]

Answer:

1~30

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Step-by-step explanation:

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