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2 years ago

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10. How do you find the product of the following? Show all your work. a. Binomial squared: (2x + 3)2 b. Binomial squared: (2x -

3)2 C. Difference of squares: (x + 5)(x - 5)

1 answer:

ipn [44]2 years ago

5 0

Answer:

A

Step-by-step explanation:

A because when you find the product you need to add

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Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

The correct answer is option <em>B. AA</em>

<em></em>

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 <em>AA theorem.</em>

<em>So, correct answer is option B. AA </em>

7 0

3 years ago

john has earnes a 77, 76 and a 84 on his first three projects of the semester.if he hopes to have a b average (80 or above) what

lukranit [14]

He need to have at least an 83

8 0

3 years ago

Which of the following lists all of the positive factors of 18?

babymother [125]

The square root of 18 is 4.2426, rounded down to the closest whole number is 4. Testing the integer values 1 through 4 for division into 18 with a 0 remainder we get these factor pairs: (1 and 18), (2 and 9), (3 and 6). The factors of 18 are 1, 2, 3, 6, 9, 18.

Step-by-step explanation:

4 0

3 years ago

Help ASAP ). The figure below can be used to prove the Pythagorean Theorem. Use the drop-down menus to complete the proof. " Fir

kykrilka [37]

Answer:

Step-by-step explanation:

it's 2ab + c^ 2

why?, well, we can change the position of the 2 triangle in each corners into this (in the picture below) :

you can see that a^2 + b^2 = c^2

then there are 2 ab from 4 triangles we add that create 2 rectangle then we multiply each rectangles by its sides

so , c^ 2+ 2ab is the answer

I

hope this is helpul!

6 0

2 years ago

QUESTION 3 of 10: Stock returns vary from year to year. The more variance a stock displays the greater the potential risk. These

Dahasolnce [82]

Answer:

The variance of these investment returns is 74

Step-by-step explanation:

Given:

Series = 10, 30, 15, 5, 20

To Find:

variance of a series = ?

Solution:

The variance of the series = $Var\left(X\right)=\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n}$

$\bar{x} = \frac{10+30 +5+15 + 20}{5}$

$\bar{x} = \frac{80}{5}$

$\bar{x} =16$

Now $(x_i -\bar{x})^2 =$ $(10 -16)^2 + (30 -16)^2 + (5 -16)^2 +(15 -16)^2 +(20 -16)^2$

= $(-6)^2 + (14)^2 + (-11)^2 + (-1)^2+ (-4)^2$

= 36 + 196 +121 + 1+ 16

= 370

Now

$Var\left(X\right)=\frac{370}{5}$ = 74

6 0

3 years ago

Read 2 more answers