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4 years ago

Substitution for y=4x+6 -5x-y=21

Mathematics

1 answer:

Sergio039 [100]4 years ago

4 0

I have included a picture. In the picture you will find the work and final answer.

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Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

The correct answer is option B. AA

Step-by-step explanation:

Given two triangle:

$\triangle ABC$ and $\triangle WXY$ .

The dimensions given in $\triangle ABC$ are:

$\angle A = 27^\circ\\\angle B = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ$

The dimensions given in $\triangle WXY$ are:

$\angle Y = 63^\circ\\\angle X = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ$

Now, if we compare the angles of the two triangles:

$\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ$

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

$\triangle ABC \sim \triangle WXY$ by AA theorem.

So, correct answer is option B. AA

7 0

3 years ago

Factor by using GCF: 8n3 + 2n2

tensa zangetsu [6.8K]

Answer: 2n^2. let me know if you need the explanation :).

Step-by-step explanation:

7 0

3 years ago

Write the systems of equations from the table below and find the solution?

Alecsey [184]

The system of equations is y = 4x - 3 and y = -1/3x + 4 and the solution is (21/13, 45/13)

<h3>How to determine the system of equations?</h3>

From the question, we have the table of values as the parameters that can be used in our computation:

From the table, we have

Table 1

(x, y) = (0, -3) and (4, 13)

A linear equation is represented as

y = mx + c

Where

Slope = m

c = y when x = 0

This means that

c = -3

So, we have

y = mx - 3

The point (4, 13) implies that

13 = m * 4 - 3

So, we have

4m = 16

m = 4

So, the equation is

y = 4x - 3

Table 2

(x, y) = (0, 4) and (4, 6)

A linear equation is represented as

y = mx + c

This means that

c = 4

So, we have

y = mx + 4

The point (4, 6) implies that

6 = m * 4 + 4

So, we have

4m = -2

m = -1/3

So, the equation is

y = -1/3x + 4

Substitute y = -1/3x + 4 in y = 4x - 3

-1/3x + 4 = 4x - 3

So, we have

-x + 12 = 12x - 9

Evaluate the like terms

13x = 21

Divide

x = 21/13

y = -1/3x + 4 implies that

y = -1/3 x 21/13 + 4

So, we have

y = -7/13 + 4

Evaluate

y = 45/13

So, the solution is (21/13, 45/13)

Read more about system of equations at

brainly.com/question/13729904

#SPJ1

5 0

2 years ago

If point A is rotated 90 degrees clockwise about the origin, what are the coordinates of the new point?

gladu [14]

Answer:

i think (-5)

Step-by-step explanation:

i hope its correct

8 0

3 years ago

If Michelle Rollerblade around a circular track with a radius of 80 meters, how far does she skate?

Harman [31]

Michelle skated a total of 160 meters because the track is circular and to get the total measurement you have find the diameter of the circular track which is just radius times 2, leaving you with 180.

7 0

4 years ago