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3 years ago

15

What is the value of x in the figure Pls help

1 answer:

Murljashka [212]3 years ago

7 0

Answer: x=18

im assuming that this is a right angle

so if it is then that means the total of the angle should be 90 degrees. so 2x+3x should be equal to 90. Just combine like terms to get that 5x=90 and then isolate the variable (divide by 5 on both sides) so x ends up equaling 18.

so x=18

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select all the sets that are the three side lengths of right triangles A.8,7,15 B.4, 10, √84 C. √8, 11, √129 D. √1, 2, √3

Semenov [28]

Answer:

<h3>B.4, 10, √84 </h3><h3>C. √8, 11, √129 </h3><h3>D. √1, 2, √3</h3>

Step-by-step explanation:

For any set of three side length of a triangle to be a right angled triangle, the sum of the square of the two of the sides must be equal to the square of the longest side according to pythagoras theorem.

The longest side is always the hypotenuse

For option D, 2 will be the longest side. Since 2 is the hypotenuse, the sum of the square of other two values must be equivalent to the square of 2,

$= (\sqrt{1})^{2} + (\sqrt{3})^{2} \\ = 1=3\\= 4\\= 2^{2} (hypotenuse)$

This shows that √1, 2, √3 are three sides of a right triangles.

Similarly for option C, the hypotenuse is √129 being the largest.

To show the sides are that of a right triangles;

$= (\sqrt{8}) ^{2} + 11^{2} \\= 8 + 121\\= 129\\= (\sqrt{129})^{2} \\$

Since the resulting value is the square of the hyp, then √8, 11, √129 are three sides of a right triangles.

For option B; 10 is the hypotenuse being the longest sides, To show the sides are that of a right triangles;

$=4^{2}+(\sqrt{84})^{2} \\ = 16+84\\= 100\\= 10^{2}$

Since the resulting value is the square of the hyp, then 4, 10, √84 are three sides of a right triangles.

Only option A is wrong since 15² is not equal to the sum of 8² and 7².

4 0

3 years ago

What is the monomial if a square of a monomial is: 0.0001*a^8*x^4

Georgia [21]

Answer:

Monomial $0.0001\cdot a^8\cdot x^4$ is a square of monomial $0.01\cdot a^4\cdot x^2$

Step-by-step explanation:

Given monomial $0.0001\cdot a^8\cdot x^4$

Using property $(a^m)^n=a^{m\cdot n},$ note that

$0.0001=(0.01)^2\\ \\a^8=(a^4)^2\\ \\x^4=(x^2)^2$

So,

$0.0001\cdot a^8\cdot x^4=(0.01)^2\cdot (a^4)^2\cdot (x^2)^2.$

Now use property $(a\cdot b)^n=a^n\cdot b^n$ to rewrite the previous expression:

$(0.01)^2\cdot (a^4)^2\cdot (x^2)^2=(0.01\cdot a^4\cdot x^2)^2$

Hence, monomial $0.0001\cdot a^8\cdot x^4$ is a square of monomial $0.01\cdot a^4\cdot x^2$

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2 years ago

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marysya [2.9K]

Answer: just saying i realy need points or i cant ask questions anyways 4+x/-20=-40 is prob 45 or somthing

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2 years ago

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AnnyKZ [126]

Answer:

Step-by-step explanation:

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2 years ago

Hector has 7/8 of a pound of leftover Halloween candy. He plans on giving it away to his friends. If he plans on giving each per

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Answer: 14

Step-by-step explanation:

1/16x = 7/8

x = 7/8*16/1 = 14

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2 years ago

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