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wolverine [178]
3 years ago
9

In radical form simplify, the squareroot of 300

Mathematics
1 answer:
AleksandrR [38]3 years ago
8 0

the square root of 300 is 17


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Given the similar triangles, find the value of X.
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Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar we can find x using similarity ratio

14/8 = (x+6)/(x-3) simplify first expression

7/4 = (x+6)/(x-3) cross multiply expressions

7×(x-3) = 4×(x+6)

7x-21 = 4x + 24 add like terms

3x = 45

x = 15

3 0
2 years ago
Nadia says the hypotenuse of the right triangle has a length of 73 because the Pythagorean theorem states that (28+45)squared eq
Setler79 [48]

Answer: Her solution is incorrect. The hypotenuse is 53 units

Step-by-step explanation: The error occurred when she quoted the Pythagorean theorem. She added up both sides and squared them and made the answer equal to the square of the hypotenuse. She was supposed to have squared them first, before adding up.

The Pythagorean (or Pythagoras) theorem states that the sum of the squares of two sides of a right angled triangle equals the square of the hypotenuse of the triangle. That is, in triangle ABC, if the hypotenuse is given as line AC, the Pythagoras theorem states that

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse and AB and BC are the other two sides.

In Nadia’s solution, if the hypotenuse is given as 73, and the other two sides are 28 and 45, then the Pythagorean theorem properly expressed would be as follows;

73^2 = 28^2 + 45^2

5329 = 784 + 2025

5329 ≠ 2809

As we have determined, writing out the expression as

73^2 = (28 + 45)^2 is very incorrect as this is not the Pythagorean theorem and of course, the triangle cannot have 73 as its hypotenuse as we have determined by properly writing out the Pythagorean theorem.

The correct solution is as follows;

AC^2 = AB^2 + BC^2

AC^2 = 28^2 + 45^2

AC^2 = 784 + 2025

AC^2 = 2809

Add the square root sign to both sides of the equation

AC = 53

Therefore, the hypotenuse is 53 units

4 0
3 years ago
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Between which two ordered pairs does the graph of f(x) = x2 + x – 9 cross the negative x-axis? Quadratic formula: x =
katrin2010 [14]
(-6,0) and (-5,0) I got it right
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3 years ago
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Jennifer $12 to spend on lunch and roller rink. Admission to the roller rink is $5.75 Jennifer estimates that she can buy a larg
den301095 [7]
She may or may not because it depends on how much is the food and drink
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3 years ago
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PLEASE HELP!! I WILL MARK BRAINLIST
marishachu [46]

Answer:

m∠5 = 44°; m∠7 = 44°

Step-by-step explanation:

Angle 4 and 1 are supplementary (they make up a line) and their sum is equal to 180 degrees.

Subtracting the measure of angle 4 from 180 degrees gives the measure of angle 1. (180 - 136 = 44).

So Angle 1's measure is 44 degrees.

According to the Corresponding Angle Postulate, Angle 1 and Angle 5 are congruent. Therefore, m∠5 = 44°

According to the Vertical Angles Postulate (if two angles are vertical, they are congruent), ∠5 ≅ ∠7, meaning that m∠5 = m∠7.

So m∠7 = 44°

6 0
2 years ago
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