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soldi70 [24.7K]
2 years ago
5

Please help me with this homework!

Mathematics
1 answer:
ZanzabumX [31]2 years ago
5 0
<h2><u>Part 1: Define</u></h2><h3>Part 1i) Defining "adjacent angles"</h3>

In this case, adjacent angles are such pairs of angles that are alongside each other. Therefore, we can say that the sum of the two adjacent angles forms a bigger angle.

<h3>Part 1ii) Defining "vertical angles"</h3>

In this case, vertical angles are such angles that are on opposite sides of the intersection between two lines. It is understood that vertically opposite angles are equivalent.

<h2><u>Part 2: Solve</u></h2><h3>Problem 8:</h3>

Clearly, we can see that two angles (one angle known as ∠x and the other angle) are alongside each other. Therefore, we can tell the angles are adjacent angles.

As we can see a \square, we can tell that the sum of the measure of ∠x and the other angle is 90°. Therefore, we obtained;

  • ⇒ ∠x + 35 = 90
  • ⇒ ∠x = 90 - 35
  • ⇒ ∠x = 65°

Therefore, the measure of ∠x is 65°.

<h3 /><h3>Problem 9:</h3>

Clearly, we can see that two angles (one angle known as ∠x and the other angle) are on opposite sides. Therefore, we can tell that the angles are vertically opposite angles.

As stated in part 1ii, vertical angles are equivalent. Since ∠x and the other angles are vertically opposite angles, the measure of ∠x is 128°.

<h3 /><h3>Problem 10:</h3>

Clearly, we can see that two angles (one angle known as ∠x and the other angle) are alongside each other. Therefore, we can tell the angles are adjacent angles.

Since the line shown, is a straight line, we can tell that the sum of 117 and x is 180. Therefore, we obtain the following equation;

  • 117 + ∠x = 180°

<u>When isolating x, we get;</u>

  • ⇒ 117 + ∠x - 117 = 180° - 117
  • ⇒ ∠x = 180° - 117
  • ⇒ ∠x = 63°

Therefore, the measure of ∠x is 63°

Learn more about this topic: brainly.com/question/14355129

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Round 1.49882 nearest to the nearest given place thousandths
I am Lyosha [343]
Okie doke. So, we are rounding this number to the nearest thousandths place, which is three digits behind the decimal. The rules for rounding are if the number is 5 or more in the digit behind it, the number goes up. If it is 4 or less, the number goes back. In other words, we depend on the digit right of the digit we are rounding to in order to see what we do. The number we are rounding is 1.49882. The 8 is in the thousandths place and the 8 is to the right of that, which is the ten thousandths place. Because 8 is greater than 5, the number rounds up. So the number rounded to the nearest thousandth is 1.500.
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3 years ago
(4,-1). Parallel to y=-4x+2
allochka39001 [22]

Answer: x=1/2

Step-by-step explanation:

y= - 4x + 2

X=1/2

6 0
3 years ago
1. Storing milk at temperatures colder than 35°F can affect its quality of taste. However, storing milk at temperatures warmer t
Mazyrski [523]

Answer:

Part (A): The required inequality is T < 35 or t >40.

Part (B): The correct option is C) Only x=7.

Part (C) |x+1|+5=2 has no solution; |4x+12|=0 has one solution; |3x|=9 has two solution.

Step-by-step explanation:

Consider the provided information.

Part (A)

Storing milk at temperatures colder than 35°F can affect its quality of taste. However, storing milk at temperatures warmer than 40°F is an unsafe food practice.

The union is written as A∪B or “A or B”.

The intersection of two sets is written as A∩B or “A and B”

We need to determine the inequalities represent the union of these improper storage.

That means we will use A∪B or “A or B”.

The improper storage temperatures is when temperature is less than 35°F or greater than 40°F.

Hence, the required inequality is T < 35 or t >40.

Part (B) 15| x-7|+4=10|x-7|+4

Solve the inequality as shown below:

Subtract 4 from both sides.

15| x-7|+4-4=10|x-7|+4-4

Subtract 10|x-7| from both sides

15\left|x-7\right|-10\left|x-7\right|=10\left|x-7\right|-10\left|x-7\right|

5\left|x-7\right|=0\\\left|x-7\right|=0\\x=7

Hence, the correct option is C) Only x=7.

Part (C) Match the solution,

\left|x+1\right|+5=2

Subtract 2 from both sides.

\left|x+1\right|=-3

Absolute value cannot be less than 0.

Hence, |x+1|+5=2 has no solution.

|4x+12|=0

4x+12=0

x=-3

Hence, |4x+12|=0 has one solution.

|3x|=9

\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a

3x=-9\quad \mathrm{or}\quad \:3x=9\\x=-3\quad \mathrm{or}\quad \:x=3

Hence, |3x|=9 has two solution.

3 0
3 years ago
What is the solution for this inequality? -7x &lt; -42 what is the answer and is it greater or less then x
Tom [10]
Our given inequality is:
-7x < -42
To solve for the inequality, we need to simplify for x and ensure we've carefully answered the question.
Currently, x is being multiplied by -7.
To get x by itself, we need to perform the opposite of what's being done.
Remember, what you do to one side of an equation/inequality, you must do to the other.

The opposite of multiplying is dividing.
Divide -7x by -7 to get x.

-7x / -7 = x
-42 / -7 = 6 (Dividing a negative by a negative makes a positive, the same goes with multiplying)

You're left with x < 6

When we divide/multiply by a negative, we need to flip the inequality with the opposite value.

Your final inequality is:
x _> 6

I hope this helps you. :)
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2 years ago
Write the coefficient of x² in<br> X/3 (6x-1/2)
Igoryamba

Answer:

The coefficient of x² in the expression is 2

x/3(6x-1/2) = 6x²/3 - x/6

= 2x² - x/6

Hope this helps

7 0
2 years ago
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