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IgorLugansk [536]
4 years ago
8

What is the value of x? Please show the steps

Mathematics
1 answer:
nordsb [41]4 years ago
6 0
Let D be the endpoint of the angle bisector opposite A on lying on side BC. The angle bisector theorem states that the ratio of BD to CD is equal to the ratio of AB to AC. In this case, you have

\dfrac{2x-1}{3x}=\dfrac9{15}

(This is the same equation that you have, it's just rearranged.)

Multiply both sides by 3x and 15.

15\times3x\times\dfrac{2x-1}{3x}=15\times3x\times\dfrac9{15}
15(2x-1)=3x\times9

Now you can solve for x.

30x-15=27x
3x=15
x=5
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What is the product of 16x48?
Elis [28]
768 because 6x8 = 48 the 8 drop Down to the answer and the 4 on top of 1 and multiply 1x8= 8+1 =9 so the 9 drop down to the answer. Now that is fake because you need to multiply 4x6 and 4x1 so 4x6 is 24 below the 8 add a 0 and go 1 move to the left and put 4 and 2 on top of 1 now 4x1 is 4+1 is 5 and put 5 on the left of 4 and the final step is add 98+540=768 so 768 is your real answer.
4 0
3 years ago
Please help
Gnoma [55]
The constant is 7

The interpretation of this constant is Marcus paying to enter the county fair.
4 0
3 years ago
Instructions: Find the common difference of the arithmetic sequence.<br> 7.05, 7.15, 7.25,7.35, 7.45
zzz [600]
I believe that the common difference would be.10
7 0
4 years ago
Read 2 more answers
Prove that 17^16+17^14 is divisible by 5
fredd [130]

We'll use the exponent rule that a^(b+c) = a^b*a^c

to break up 17^16 into 17^(14+2) = 17^14*17^2

That allows us to factor like so

17^16+17^14

17^14*17^2+17^14*1

17^14(17^2 + 1)

Computing 17^14 is a lot more difficult compared to computing 17^2 + 1, assuming you only could use paper and pencil.

Note that 17^2 = 17*17 = 289, so 17^2 + 1 = 289+1 = 290

Because 290 ends in a 0, this means that 5 is a factor

290 = 5*58

This makes 5 to be a factor of the original expression.

----------------

So overall,

17^16+17^14 = 17^14(17^2 + 1) = 17^14*290 = 17^14*5*58 = 5*17^14*58

The stuff "17^14*58" doesn't matter. All we care about is that factor of 5.

Since 5 is a factor, this means that 17^16+17^14 is a multiple of 5, or 17^16+17^14 is divisible by 5.

Phrased another way, 17^16+17^14 all divided over 5 leads to some integer. In this case, the integer would be the result of 17^14*58.

6 0
3 years ago
10p^8 divided by 5p^4
REY [17]

Answer:

\sf \cfrac{10p^8}{5p^4}

Factor: \sf 10= 5\times 2

\sf \cfrac{5\times \:2p^8}{5p^4}

Cancel common factor:- 5

\sf \cfrac{2p^8}{p^4}

Use the Quotient Rule:

\sf 8-4=4

\boxed{\sf 2p^4}

6 0
3 years ago
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