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Alexeev081 [22]
3 years ago
15

Complete this item.

Mathematics
1 answer:
Anika [276]3 years ago
5 0

Answer:

Given: An Angle in the figure is right angle. Its measure = 90°

So,

∠2 = 90° ( vertically opposite angles are equal )

∠1 + ∠2 = 180° ( Linear Pair )

∠1 = 180 - 90

∠1 = 90°

So, ∠1 and ∠2 are

Right angles because measure of both angles are 90°.

Adjacent angles because both a common arm and a common vertex.

Supplementary angles because sum of both angles is 180°.

Step-by-step explanation:

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katrin2010 [14]

Answer:

y+4=2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=2(x-4)

y+4=2(x-4)   point slope form

3 0
3 years ago
I need help pls on math
Rina8888 [55]

x^2-x-12=x^2+3x-4x-12=x(x+3)-4(x+3)=(x+3)(x-4)\\\\x^2-2x-8=x^2+2x-4x-8=x(x+2)-4(x+2)=(x+2)(x-4)\\\\4x^2=2x\cdot2x



\dfrac{x^2-x-12}{2x}:\dfrac{x^2-2x-8}{4x^2}=\dfrac{x^2-x-12}{2x}\cdot\dfrac{4x^2}{x^2-2x-8}\\\\=\dfrac{(x+3)(x-4)}{2x}\cdot\dfrac{2x\cdot2x}{(x+2)(x-4)}=\dfrac{(x+3)}{1}\cdot\dfrac{2x}{(x+2)}\\\\=\boxed{\dfrac{2x^2+6x}{x+2}}

4 0
4 years ago
1/3 (9 - 6x) = x Solve the following please
Dmitriy789 [7]
Hello there!

1/3 (9 - 6x) = x

Start by using the distributive form

(1/3)(9) + (1/3)(-6x) = x

9/3 + (-6x)/3 = x

3 - 2x = x

-2x + 3 = x

-2x - x + 3 = 0

-3x + 3 = 0

-3x = 0 - 3

-3x = -3

x = -3/-3

x= 1

It is always my pleasure to help people like you. As always, I am here to help!
7 0
4 years ago
A patient is instructed to take three 50-mcg tablets of pergolide mesylate (Permax) daily. How many milligrams of the drug would
Black_prince [1.1K]

Answer:

The patient would receive 1.05mg of the drug weekly.

Step-by-step explanation:

First step: How many mcg of the drug would the patient receive daily?

The problem states that he takes three doses of 50-mcg a day. So

1 dose - 50mcg

3 doses - x mcg

x = 50*3

x = 150 mcg.

He takes 150mcg of the drug a day.

Second step: How many mcg of the drug would the patient receive weekly?

A week has 7 days. He takes 150mcg of the drug a day. So:

1 day - 150mcg

7 days - x mcg

x = 150*7

x = 1050mcg

He takes 1050mcg of the drug a week.

Final step: Conversion of 1050 mcg to mg

Each mg has 1000 mcg. How many mg are there in 1050 mcg? So

1mg - 1000 mcg

xmg - 1050mcg

1000x = 1050

x = \frac{1050}{1000}

x = 1.05mg

The patient would receive 1.05mg of the drug weekly.

6 0
4 years ago
Mrs. Hanson decided to survey the twenty-one students in her homeroom one morning to find out how they were feeling at that mome
miv72 [106K]

it's 8,

let the no. of tired students be x

add all the numbers of the happy, hungry and in between students and then subtract from the total of the student

which has to look smth like this

happy = 10

so we fill all the numbers in between then we add them and see what's missing

1+3+2 = 6

10-6 = 4

4 students are happy

hungry = 7

1+1+3 = 5

7-5 = 2

2 students are hungry

and lastly for tired, they didn't mention the total so we add all the numbers we got and subtract them by the total of students (just like mentioned above)

2+1+1+3+4+2 = 13

21-13 = 8

8 students were tired

x = 8

6 0
3 years ago
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