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3 years ago

Please help, I have ask it 5 times. Please.

Mathematics

2 answers:

PIT_PIT [208]3 years ago

5 0

Answer:

Pair 1: GM and LJ

Pair 2:HI and LM

Step-by-step explanation:

The markings on the line show which lines are congruent to each other. This means that line HI and ML are congruent because they have similar markings. And you could say the same for line JL and MG because it has 2 lines that mark it as congruent to eachother.

So basically your answers are GM and LJ as one pair and HI and LM as another

Oduvanchick [21]3 years ago

4 0

LM are congruent to HI , GM are congruent to LJ

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Annie solved the equation 7x + 16 = 2(x + 2). She then stated that x= -2 is a solution to the equation. Is Annie correct?A. Yes,

Andreyy89

Solution:

The equation Annie solved was;

$7x+16=2(x+2)$

Then, we have;

$7x+16=2x+4$

Collect like terms;

$\begin{gathered} 7x-2x=4-16 \\ 5x=-12 \end{gathered}$

Divide both sides by 5;

$\begin{gathered} \frac{5x}{5}=-\frac{12}{5} \\ \\ x=-2.4 \end{gathered}$

Thus, Annie is not correct.

CORRECT OPTION: (B) No, Annie is not correct

7 0

1 year ago

Please help me thanks!

Alexxandr [17]

Problem 1

Any pair of equilateral triangles are <u>always</u> similar triangles. We can use the SSS (side side side) similarity theorem to prove this. One triangle is an enlarged copy of the other, or a shrunken reduced copy.

The rectangle is NOT similar to the square. They are different shapes. Similar figures are figures that are the same shape, but different sizes.

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Problem 2

horizontal/vertical = horizontal/vertical

24/x = 6/5

24*5 = 6x

120 = 6x

x = 120/6

x = 20

Answer: The flagpole is 20 ft high (about 2 stories tall)

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Problem 3

The formula to use is $z = \sqrt{x*y}$

z = geometric mean of x and y

We multiply the numbers and take the square root. This only works for two values at a time. The geometric mean of three numbers will involve the cube root. Four numbers involves the 4th root, and so on.

Geometric mean of 6 and 10 is sqrt(60) = 7.74597 approximately
Geometric mean of 2 and 32 is 8 exactly
Geometric mean of 2 and 8 is 4 exactly
Geometric mean of 7 and 9 is sqrt(63) = 7.93725 approximately

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Problem 4

For each figure, the y is the altitude and can be determined using the geometric mean formula.

Figure on the left: y = sqrt(2*6) = sqrt(12) = 3.4641
Figure on the right: y = sqrt(6*14) = sqrt(84) = 9.1652

The decimal values are approximate.

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Problem 5

For 45-45-90 triangles, we divide the hypotenuse over sqrt(2) to find the leg length.

For the first triangle in the first row, we have y = 18/sqrt(2) = 9*sqrt(2) after rationalizing the denominator. Multiply top and bottom by sqrt(2).

Take this process in reverse to determine the hypotenuse if you know the leg length. This explains why the hypotenuse is 3.2*sqrt(2) for the second triangle in the first row.

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For 30-60-90 triangles, we go from the short leg x to the hypotenuse 2x.

Double the short leg to get the hypotenuse.

2x = 36

x = 36/2

x = 18

This is for the first triangle in the bottom row.

For the other triangle in this bottom row, we have a long leg of 4*sqrt(3). This must mean the short leg is exactly 4 units long. Therefore, the hypotenuse is 2*4 = 8 units long.

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<h3>Summary:</h3>