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3 years ago

Find the value of x.

Mathematics

1 answer:

alisha [4.7K]3 years ago

4 0

Answer:

X=5

Step-by-step explanation:

the sum has to equal 180 because its a linear pair,

10×5=50

26×5=130

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Please help!

laila [671]

Because
$\frac{f(x)}{x-3} = 2x^{2} + 10x - 1$
therefore
f(x) = (x-3)(2x² + 10x - 1) + k, where k = constant.

Because f(3) = 4, therefore k =4.
The polynomial is
f(x) = 2x³ + 10x² - x - 6x² - 30x + 3 + 4
= 2x³ + 4x² - 31x + 7

Answer: f(x) = 2x³ + 4x² - 31x + 7

6 0

3 years ago

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

A ribbon is 12 3/8 feet long.Into how many 3/4-foot pieces can it be cut?

seraphim [82]

12 3/8 ÷ 3/4

change the mixed fraction to improper....

99 3
__ ÷ __
8 4

now change the sign to a multiplication sign and flip 3/4.

99 4 396
__× __= _____
8 3 24

396/24..... that changes to 16 22/24. Simplify it and it will be 16 11/12.

6 0

4 years ago

Trying to figure this out

prisoha [69]

I hope this helps you