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3 years ago

Which postulate or theorem proves △FWJ∼△PKJ ?

Mathematics

2 answers:

iogann1982 [59]3 years ago

7 0

Answer:

Aa SIMILARITY POSTUALTE SHOULD BE THE ANSWER

Step-by-step explanation:

artcher [175]3 years ago

4 0

AA Similarity Postulate - we get the triangle on the left's angles; 90 and 63, and we subtract from 180.

180 - 90 - 63 = 27

So we have angle measures 27, 63, 90

For the triangle on the right, with measures 27 and 90, we use the same idea:

180 - 90 - 27 = 63.

You'll see that we also have 27, 63, 90.

Triangles with the same angles are defined as similar, so AA should be the answer

You might be interested in

Which of the following are remote interior angles of 1? Check all that apply.

liraira [26]

Answer:

A. <2

B. <3

Step-by-step explanation:

The remote interior angles are just the two angles that are inside the triangle and opposite from the exterior angle

Remote interior angles of <1 are <2 and <3

3 0

3 years ago

Read 2 more answers

Two sets of three consecutive integers have a property that the product of the larger two is

skelet666 [1.2K]

Answer:

{1, 2, 3}, {3, 4, 5}

Step-by-step explanation:

Write expressions for three consecutive integers: n, n + 1, n + 2.

Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).

(n + 1)(n + 2) = 7n - 1

Multiply (FOIL) the left side.

n^2 + 3n + 2 = 7n - 1

Subtract 7n and subtract 1 to make the right side 0.

n^2 - 4n + 3 = 0

Factor.

(n - 1)(n - 3) = 0

Set the two factors equal to 0

n - 1 = 0, n - 3 = 0

Solve for n.

n = 1, n = 3

One set of integers begins with 1, so it's {1, 2, 3}.

The other set begins with 3, so it's {3, 4, 5}

5 0

3 years ago

On a piece of paper graph f(x) = 3 • (2)^x then determine which answer choice matches the graph you drew

vagabundo [1.1K]

Answer:

Answer B

Step-by-step explanation:

x = 0

fx =2*3

f(0)=2

f(1) =6 (1,6)

Answer is Graph B

Hope this helps.

5 0

2 years ago

Real Answers Only!!!!

lyudmila [28]

Answer:

The correct answer is C) Reflection across the Y-axis.

Step-by-step explanation:

This is because only the x-coordinates changed. If these coordinates were reflected across both the x and y axis' the sign of both the x and y coordinates would have changed. When you reflect a point across the x axis, the y-coordinates change their sign. When you reflect a point across the y axis, the x-coordinates change their sign.

Hope this helps,

♥A.W.E.S.W.A.N.♥

5 0

3 years ago

A number of squares are connected in a row to form a rectangle. The table shows the relationship between the number of squares,

svp [43]

Answer:

✅The table can be represented by the equation, $y = 4x + 4$

✅The relation is a function.

✅The graph of the function is linear.

Step-by-step explanation:

✍️The first statement: The table can be represented by the equation, $y = 4x + 4$ .

To check if the first statement is correct let's find the equation that can represent the table by finding the slope (m) and y-intercept (b).

Using two pairs, (1, 8) and (2, 12),

Slope = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4$ .

Substitute, x = 1, y = 8, and m = 4 into y = mx + b to solve for b.

Thus:

8 = (4)(1) + b

8 = 4 + b

Subtract 4 from each side

8 - 4 = b

4 = b

Plug in the values of b and m into y = mx + b.

Thus, the equation that represents the table would be:

$y = 4x + 4$ .

✅Therefore, the first statement is correct.

✍️The second statement: The graph of the function is non-linear.

This is NOT TRUE because the equation of the function, $y = 4x + 4$ , represents the equation of a linear graph in the slope-intercept form. When graphed, it will give us a straight line.

✍️The Third statement: The relation is a function.

This is TRUE because each input value (x-value) has exactly one output value (y-value).

✍️The Fourth statement: The rate of change is NOT constant.

This standby is NOT TRUE.

The rate of change is the slope (m) that we have calculated above to be 4. Between any two pairs, the rate of change remains 4.

Therefore, this statement is not correct.

✍️The Fifth statement: The graph of the function is linear.

This is TRUE. As stated earlier, from the equation generated, it is safe to say that the equation represents graph of a linear function. The graph will be a straight line graph.

5 0

3 years ago