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3 years ago

Points J and K are midpoints of the sides of triangle FGH. What is the value of y?

2 answers:

7 0

The answer

the complement of the question is

What is the value of y?

2
5
7
<span>8
</span>
According to the image, HKJ and FGH are similar, we can apply the theorem of thales
since GK and GF are parallels, so

HK / HF = HJ / HG = KJ / GF and as we see on the figure, HK = HF /2, this implies 2HK =HF

HK / 2HK = KJ / GF it is equivalent to 1/2 = 2y+5 / 5y +3

likewise, equivalent to 5y +3 = 4y +10, 5y-4y = 10-3, and y = 7

so the answer is 7

Oksanka [162]3 years ago

7 0

Answer:7

Step-by-step explanation:

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The table below gives the completion percentage and interception percentage for five randomly selected NFL quarterbacks. Based o

Lina20 [59]

The regression equation is y = -0.42647x + 29.11471 and the correlation coefficient is -0.9607

<h3>How to determine the regression equation?</h3>

The table of values is given as:

Completion Percentage 57 59 62 63 64

Interception Percentage 5 3.5 3 2.5 1.5

Next, we enter the above values in a graphing calculator.

From the graphing calculator, we have the following summary:

Sum of X = 305
Sum of Y = 15.5
Mean X = 61
Mean Y = 3.1
Sum of squares (SSX) = 34
Sum of products (SP) = -14.5
r = -0.9607

Regression Equation = ŷ = bX + a

b = SP/SSX = -14.5/34 = -0.42647

a = MY - bMX = 3.1 - (-0.43*61) = 29.11471

So, the regression equation is

y = -0.42647x + 29.11471

And the correlation coefficient is -0.9607

Read more about regression at:

brainly.com/question/14313391

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7 0

2 years ago

Triangles EFG and QRS are similar. The lengths of the sides of EFG are 72, 64, and 56. The length of the smallest side of QRS is

blsea [12.9K]

Answer:

$180\ units$

Step-by-step explanation:

we know that

If triangles EFG and QRS are similar

then

the scale factor is equal to the measure of the smallest side of triangle QRS divided by the smallest side of triangle EFG

Let

x-------> the smallest side of triangle QRS

y-------> the smallest side of triangle EFG

z-------> the scale factor

we have

$x=140\ units, y=56\ units$

substitute the values

$z=\frac{140}{56}$

$z=2.5$

Find the length of the longest side of QRS

The length of the longest side of QRS is equal to multiply the scale factor by the length of the longest side of EFG

$2.5*72=180\ units$

7 0

3 years ago

Read 2 more answers

Define the domain of the following

devlian [24]

The domain of the function or relation on the graph is { -2, -1, 0, 2 and 5}

<h3>What is the domain of a function?</h3>

The domain of the function is the set of input values of the graph

<h3>How to determine the domain of the function?</h3>

The function is represented by the set of relation or ordered pairs on the graph

The graph is given as an attachment

The ordered pairs in the relation on the graph are:

(x, y) = (-2, -3), (-1, -1), (0, 3), (2, 1) and (5, 2)

Remove the y values in the above domain

x = -2, -1, 0, 2 and 5

The x values represent the domain of the function

And the domain of the function is the set of input values of the graph

Hence, the domain of the function or relation on the graph is { -2, -1, 0, 2 and 5}