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3 years ago

Please help me with these algebra questions. Image attached.

Mathematics

2 answers:

Vladimir79 [104]3 years ago

3 0

Answer:

a is 5 b is 3 c is 19 for number 5

Vinil7 [7]3 years ago

3 0

Answer:

maybe I can help you

Step-by-step explanation:

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Given points A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1), which of the following proves that

damaskus [11]

Similar triangles may or may not have equal side lengths

Triangles ABC and DEF are similar by SSS theorem

<h3>How to determine the similarity statement</h3>

The coordinates of the two triangles are:

A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)

Calculate the lengths of both triangles using the following distance formula

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

For triangle ABC, we have:

$AB = \sqrt{(0 -4)^2 + (0 -0)^2} = 4$

$BC = \sqrt{(4 -0)^2 + (0 -2)^2} = 2\sqrt 5$

$CA = \sqrt{(0 -0)^2 + (0 -2)^2} = 2$

For triangle DEF, we have:

$DE = \sqrt{(0 -2)^2 + (0 -0)^2} = 2$

$EF = \sqrt{(2 -0)^2 + (0 -1)^2} = \sqrt 5$

$FD = \sqrt{(0 -0)^2 + (1 -0)^2} = 1$

Divide corresponding sides of the triangles to calculate the scale factor k

$k = \frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD}$

This gives

$k = \frac{4}{2} = \frac{2\sqrt 5}{\sqrt 5} = \frac{2}{1}$

Evaluate the quotients

$k = 2 = 2 = 2$

Since the quotients are equal, then the triangles are similar

Hence, triangles ABC and DEF are similar by SSS theorem

Read more about similar triangles at:

brainly.com/question/14285697

3 0

2 years ago

Which shows the correct substitution of the values ab and c from the equation 0 = - 3x ^ 2 - 2x + 6 into the quadrati formula?

scZoUnD [109]

The answer would look something like this:

$\frac{2+-\sqrt{2^{2}-4(-3)(6) }}{2(-3)}$

There could also have a simplified version.

I hope this helps.

7 0

3 years ago

Ordered pairs of y=2/3x+1

Mrrafil [7]

Answer:

(-1.5,0) (0,1)

Step-by-step explanation:

used desmos

6 0

3 years ago

PLEASE HELP ME!!<br><br> Find the measure of angle A:<br><br> Find the measure of angle B:

g100num [7]

Answer:

Measure of angle A is 65 degrees and measure of angle B is 37 degrees.

Step-by-step explanation: First add all of the degrees of excluding x (4+(-9)) which is -5. Then subtract that from 180 since that is the sum of all the angles in a triangle which gives you 185. Then divide it by the number of "x's" that there are which is 5 which gives you 37. So angle B is x which is 37 degrees and angle a is 2(37)-9 which is 65 degrees. Hope this helps.

3 0

3 years ago

A number s is no more than 18<br><br>PLEASE PLEASE PLEASE HELP ME

defon

Answer:

$x \leqslant 18$

8 0

3 years ago