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3 years ago

Find X to complete the following ratio. 12:5 = 24:X

Mathematics

1 answer:

slega [8]3 years ago

4 0

Answer:

x = 10

Step-by-step explanation:

This is the answer because:

1) 12:5 is equivalent to the ration 24:10

2) This is because to get 24 you have to multiply 12 and 2 which is 24

3) Next, you have to do the same to the other side to make everything equal. Therefore, you have to multiply 5 with 2 which is 10.

4) Finally, your answer should be 24:10

Hope this helps! :D

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Is this a parallelogram and why?

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3 years ago

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Please help me ASAP! Triangle ABC is located at A (2, 3), B (4, 4), and C (6, 3). Zackary says that triangle ABC is an isosceles

son4ous [18]

<h2>Hello!</h2>

The answer is:

The second option,

Zackery, because AB=BC

To identify which type of triangle is the triangle formed by the given points, first, we need to calculate the distance between the points.

So, finding the distances we have:

From A to B: (2,3) and (4,4)

$distance=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}\\\\distance=\sqrt{(4-2)^{2} +(4-3)^{2}}=\sqrt{2^{2} +1^{2} }=\sqrt{4+1}=\sqrt{5}=2.24units$

From B to C: (4,4) and (6,3)

$distance=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}\\\\distance=\sqrt{(6-4)^{2} +(3-4)^{2}}=\sqrt{2^{2} +(-1)^{2} }=\sqrt{4+1}=\sqrt{5}=2.24units$

Hence, since the distances AB and BC are equal, the triangle is an isosceles triangle, so the answer is:

Zackery, because AB=BC

Have a nice day!

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3 years ago

How to write 899,501 in expanded form

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Since 1995 the cost of a bag of groceries has increased about 2.5% each year. The equation C = 25(1.025)x will give the value of

Marianna [84]

Answer: 28 years

Step-by-step explanation:

Given

The equation showing the value of the bag after x years is $C=25(1.025)^x$

If the price of the bag increased by 2.5%, from the equation, we can deduce that

Initial cost of the bag is 25

Double of the initial value is 50

Insert it in the equation

$\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28$

It will take 28 years

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3 years ago

Determine if the sequence is arithmetic. If it is, find the term named in the problem.

Brums [2.3K]

Answer:

$a_{39}$ <em>= 279</em>

Step-by-step explanation:

$a_{n}$ = $a_{1}$ + (n - 1)d

d = $a_{2}$ - $a_{1}$

~~~~~~~~~

d = - 17 + 25 = - 9 + 17 = - 1 + 9 = 8

$a_{39}$ = - 25 + 8(39 - 1) = 279

$a_{39}$ <em>= 279</em><em> </em>

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