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lana66690 [7]
2 years ago
12

What is the measure of x?

Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
4 0

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one, from where we can use proportions to get their sides, so Check the picture below.

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Defining congruent triangles
AleksandrR [38]

All angles are the same and all side lengths are equal/congruent

5 0
3 years ago
Factor the expression 10x+40
BigorU [14]
Factor 10 out of 10x+40. So, the correct answer is 10(x+4).
Hope this helps!:)
5 0
3 years ago
Mohammad divide Rs 82000 into two parts such that the amounts at 5% per annum compound interest in 2 years and 3 years are equal
lara [203]

Answer:

Rs 42000 and Rs 40000

Step-by-step explanation:

Given that Rs 82000 is divided into two parts.

Let the first part be Rs x which is compounded annually at the interest of 5% per annum for 2 years.

The rate of interest = 5%=0.05

The total amount after 2 years = x(1+0.05)^{2}\cdots(i)

The other part is Rs 82000-x which is compounded annually at the interest of 5% per annum for 3 years.

The total amount after 3 years = (82000-x)(1+0.05)^{3}\cdots(ii)

As both the amounts are equal, so from equation (i) and (ii)

x(1+0.05)^{2}=(82000-x)(1+0.05)^{3} \\\\x(1.05)^{2}=82000(1.05)^{3} -x(1.05)^{3} \\\\x(1.05^2+1.05^3)=82000\times 1.05^3 \\\\x(2.260125)=94925.25 \\\\x=94925.25/2.260125 \\\\

x= 42000

And the other part = 82000-42000 = Rs 40000

Hence, he divides the money as

Rs 42000 at 5% per annum compound interest in 2 years and

Rs 40000 at 5% per annum compound interest in 3 years.

4 0
3 years ago
You spin the spinner once.
Ymorist [56]

Answer:

0.625

Step-by-step explanation:

5 out of 8 of the sections in the circle are yellow. This means that there is a 5/8 chance of the spinner landing in a yellow section.

5/8 written as a decimal is 0.625

The answer is 0.625

6 0
3 years ago
Please Help Quick!!! 25 Points<br> What is the radical form of the expression 4 3/2?
bixtya [17]

Answer: C; 3 4/2

Step-by-step explanation:  A fraction exponent can be represented using a radical. The base number is the number in the radical. The numerator of the fraction is the exponent inside the radical. The denominator is the type of radical.

An exponential always crosses at (0,1) This function crosses at (0.6) meaning it has shifted up 5 units or +5. These means only answer options A and D are possible solutions. Also, since the graph starts high and ends low and leveling out, this means the base is less than 1. Only 3/4 is less than 1. Answer A is the solution.

hope this helps, thank you! :)

6 0
3 years ago
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