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2 years ago

Pls help I’ll add extra points

Mathematics

1 answer:

Alenkasestr [34]2 years ago

5 0

Answer:

1. Immune

Step-by-step explanation:

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Congruency

maria [59]

Answer:

a.)They are oppositely congruent

Step-by-step explanation:

This is because when they are oppositely fitted they match

8 0

2 years ago

What is the simplified form of 12x/900x²y4z6?

zalisa [80]

Answer:

$360xy^2|xz^3|$

Step-by-step explanation:

Given expression:

$12x \sqrt{900x^2y^4z^6}$

$\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:$

$\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

Replace 900 with 30² :

$\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

$\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:$

$\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}$

$\implies 360x|x|\sqrt{y^4}\sqrt{z^6}$

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

$\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:$

$\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}$

Simplify:

$\implies 360xy^2|xz^3|$

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0

2 years ago

The lines a and b intersect at point C.<br><br> What is the value of y?

Amanda [17]

Using the definition of vertical angles, the value of z is: 15.

<h3>Vertical Angles Pair</h3>

The two pairs of opposite angles formed when two straight lines intersect are called vertical angles, and are therefore congruent to each other.

Thus:

2z + 10 = 40

2z = 40 - 10

2z = 30

z = 30/2

z = 15

Therefore, using the definition of vertical angles, the value of z is: 15.

Learn more about vertical angles on:

brainly.com/question/1673457

7 0

2 years ago

Read 2 more answers

Which expression is equivalent to 5^4(5^-^3)^2?<br> 5^1 <br> 5^2<br> 1/5^1<br> 1/5^2

inessss [21]

Answer:

1 5th ^2.

Step-by-step explanation:

8 0

3 years ago

I need help with this question. Melissa is baking a birthday cake for her best friend and the preparation time is 12 minutes, wh

Otrada [13]

Answer:

I put all the steps down. I don't know which one you want. I hope you understand it now.

Step-by-step explanation:

b = baking time

p = preperation time

p = 1/3b

12 = 1/3b

b = 12*3

b = 36 minutes

5 0

2 years ago