Describe the process of factoring using the 'x' method or the 'box' method

Check out attachment:) I don't understand how do you find out the length ?? pls help with explanation thx

hjlf

Answer:

x=3.89

Step-by-step explanation:

I'll go in depth for you.

Before we figure out what we do, let understand what we know about this triangle.

We know that both triangles have a angle that measure 27°.
We also know EH=5
FG=9
ZG=7
We need to know how to find EZ

Notice how line EG and HF intersect at Angle Z. We know that if two lines intersect at an angle, it form angles called vertical angles. This means that the two angles that are vertical to each other are congruent.

This means that angle Z in both triangles both measure the same.

Now since both triangles have 2 congruent corresponding angles, we can say that the Triangles are Similar due to the Angle-Angle Postulate.

"If two corresponding angles of two triangles are congruent, then the two triangles are similar."

What is mean when Triangles are similar? 

It means that the similar triangles corresponding angles are equal and their sides are in proportion.

The corresponding sides are 

EH and GF

EZ and ZG

HZ and HF.

Our proportion formula for similar triangles is 

Any two sides of the first triangle divided by each other must equal the two corresponding sides of the second triangles divided by each other respectively.

We know FG and ZG so let set up our first fraction

 $\frac{fg}{zg}$ 

The corresponding sides of both are 

EH and EZ respectively so our proportion looks like
 $\frac{fg}{zg} = \frac{eh}{ez}$ 
Plug in the values for each. Let x represent the value of EZ
 $\frac{9}{7} = \frac{5}{x}$ 
Cross Multiply
 $9x = 35$ 
 $x = 3 \frac{8}{9} = 3.89$ 
So x=3.89

3 0

3 years ago

Write the polynomial in standard form: x^2+4-3x

Sonbull [250]

Answer:

x^2-3x+4

Step-by-step explanation:

6 0

3 years ago

Donner has decrease toy production 10%. Toy production was 400 toys. Which equation represents the new toy production?

Marta_Voda [28]

I think the correct answer is D
Hope this help!

4 0

2 years ago

Read 2 more answers

Write the equation in the form y = a • b^x given the table below.

MrRa [10]

9514 1404 393

Answer:

y = 1 · 5^x

Step-by-step explanation:

Use the given values in the given formula and solve for 'a' and 'b'.

y = a·b^x

5 = a·b^1 . . . . . . for (x, y) = (1, 5)

125 = a·b^3 . . . . for (x, y) = (3, 125)

Divide the second equation by the first:

125/5 = (a·b^3)/(a·b^1)

25 = b^2 . . . simplify

5 = b . . . . . . . take the square root

Substituting into the first equation, we can find 'a':

5 = a·5

1 = a . . . . . . . divide by 5

Written in the given form, the equation is ...

y = 1 · 5^x

6 0

3 years ago

Write an explicit formula for the sequence -3, 1, 5, 9....

lions [1.4K]

Answer:

A. an = -3 + 4(n - 1)

Step-by-step explanation:

The sequence given follows an arithmetic progression. This means the following term can be gotten by simply adding a factor to the previous term (or even the first term).

They are represented by the equation:

y(n) = a + r(n - 1)

Where y(n) is the nth term

a = first term

r = factor

Let us compare this with the sequence given:

The first term, a, is -3

We can get the factor, r, by using the second term, which is 1. This means n = 2.

=> 1 = -3 + r (2 - 1)

1 = -3 + r

=> r = 1 + 3 = 4

Therefore, putting a = -3 and r = 4, the sequence can be written as:

y(n) = -3 + 4(n - 1)

8 0

3 years ago