Mathematics High School

## Answers

**Answer 1**

**Here** , we **are** going to use the **property** of **linear** **pair** . So , this **property** states that on **any line** , the **sum of all angles** formed by **drawing** other **lines** on the **initial** line is **180°** or **π radians** .

__________________________

**Coming** back to the **question ****,**** ****we ****are ****provided**** ****that** ;

[tex]{\sf \angle \: 1 = (x-18)^{\circ}}[/tex]

[tex]{\sf \angle \: 2 = {5x}^{\circ}}[/tex]

**Now** by property of **linear** **pair** , we **have** ;

[tex]{: \implies \quad \sf \angle \: 1 + \angle \: 2 = 180^{\circ}}[/tex]

**Putting** the **values** ;

[tex]{: \implies \quad \sf x - 18^{\circ} + 5x = 180^{\circ}}[/tex]

[tex]{: \implies \quad \sf 6x = 180^{\circ}+18^{\circ}}[/tex]

[tex]{: \implies \quad \sf 6x=198^{\circ}}[/tex]

[tex]{: \implies \quad \sf x = \dfrac{198^{\circ}}{6}}[/tex]

[tex]{: \implies \quad \sf x=33^{\circ}}[/tex]

**Now** , we can find **measures** of [tex]{\sf \angle \: 1}[/tex] & [tex]{\sf \angle \: 2}[/tex] , by **putting** the **value** of **x**

[tex]{: \implies \quad \sf \angle \: 1 = (x-18)^{\circ}}[/tex]

[tex]{: \implies \quad \sf \angle \: 1 = (33-18)^{\circ}}[/tex]

[tex]{\boxed{\bf \therefore \quad \angle \: 1 = 15^{\circ}}}[/tex]

[tex]{: \implies \quad \sf \angle \: 2 = {5x}^{\circ}}[/tex]

[tex]{: \implies \quad \sf \angle \: 2 = {5\times 33}^{\circ}}[/tex]

[tex]{\boxed{\bf \therefore \quad \angle \: 2 = {165}^{\circ}}}[/tex]

**We are Done :D**

**Answer 2**

**We know that, **

Sum of two angles in a linear pair = 180°

Therefore,

∠1 + ∠2 = 180°

=> (x - 18)° + 5x° = 180°

=> x° - 18° + 5x° = 180°

=> 6x° - 18° = 180°

=> 6x° = 180° + 18°

=> 6x° = 198°

=> x = 198°/ 6°

=> x = 33°

Now,

∠1 = (x - 18)°

= 33° - 18°

= 15°

∠2 = 5x°

= 5(33°)

= 165°

Therefore, the two angles are 15° and 165°

## Related Questions

A car is 180 inches long. A truck is 75 percent longer than car. How long is the truck?

### Answers

**Answer:**

**315** inches long

135 is 75% of 180, so you can add 135 to 180.

135 + 180 = 315

The finances of a group of pet owners were analyzed to determine how much they were spending on their pet(s) each year. A graph of that data is shown:

Would (3, 7.2) be a realistic solution for the function? Explain.

A. Yes, it is realistic to have 7.2 owners who spend $300 dollars on their pet(s).

B. No, it is not realistic to have 3 owners.

C. Yes, it is realistic that 3 owners spend $720 a year on their pet(s).

D. No, it is not realistic that owners spend $720 a year on their pet(s).

### Answers

**Answer:**

c

**Step-by-step explanation:**

i done it and it c

What is Quadrilaterals and parallelograms

### Answers

**Answer:**

**Step-by-step explanation:**

A quadrilateral is a polygon with four sides. There are many special types of quadrilateral. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel .

A quadrilateral is a polygon with four sides. There are many special types of quadrilateral. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel .

A number multiplied by 5, subtracted from the sum of 14 and eight times the number

### Answers

**Answer:**

5m - (14 • 8)

**Step-by-step explanation:**

pretty sure this is correct

What is the answer to that question?

### Answers

**Answer:**

5.0

**Step-by-step explanation:**

it needs to be to **1 decimal place**, so after the decimal points the numbers are replaced with 0 which has to be written

the correct answer is 5.0

Can someone please help with this ?

### Answers

**Answer: -9n+20**

This is the same as **20-9n**

================================================

Explanation:

The jump from 11 to 2 is "minus 9"

The jump from 2 to -7 is also "minus 9".

Assuming this pattern continues on, we have an arithmetic sequence with

a = 11 = first termd = -9 = common difference

The nth term can be found like so

[tex]a_n = a + d(n-1)\\\\a_n = 11 + (-9)(n-1)\\\\a_n = 11 -9n + 9\\\\a_n = -9n+20\\\\[/tex]

Let's check the answer by trying n = 3

[tex]a_n = -9n+20\\\\a_3 = -9*3+20\\\\a_3 = -27+20\\\\a_3 = -7\\\\[/tex]

This shows the third term is -7, which matches what the original sequence shows. The answer is partially confirmed. I'll let you check the other values of n. You should get 11 when trying n = 1, and you should get 2 when trying n = 2.

Maria answered 15 math problems in 30 minutes. How many problems did

in one minute?

### Answers

**Answer:**

2 questions

**Step-by-step explanation:**

15/30=x/1

30x=15

x=2

Find the area of this parallelogram please help

### Answers

**Answer:**

A=168ft

**Step-by-step explanation:**

Area = base * hight

Area = 12 * 14

Area = 168 ft

Which of the following is true concerning the pannes in salt marshes?

a.

They are isolated pools of water at low elevations.

b.

They are isolated pools of water at high elevations.

c.

They are interconnected pools of water at low elevations.

d.

They are interconnected pools of water at high elevations.

Please select the best answer from the choices provided

A

B

C

D

### Answers

**Answer:**

A. They are isolated pools of water at low elevations.

Answer:

A on edge! hope this helps :D

Step-by-step explanation:

HELP AS SOON AS POSSIBLE

### Answers

what do you need? it looks like you got the answer 55

hmm solving for p = 56

so yeah that looks right

8•7 = 56

7/56 = 8

An expression is shown below.

3 √47x

Which value of x makes the expression equivalent to 24 √47?

A.

8

B.

64

O C.

192

D.

576

### Answers

**Answer:**

see step-by-step

**Step-by-step explanation:**

It's not clear from your notation, so I will provide 2 answers.

3√(47x) = 24√(47)

3√(47)√x = 24√(47)

Divide both sides by √(47): 3√x = 24

Divide both sides by 3: √x = 8

Square both sides: x = 64

3√(47)x = 24√(47)

Divide both sides by √(47): 3x = 24

Divide both sides by 3: x = 8

Thomas is building an enclosed container in the shape of a rectangular prism to house his pet tarantula. The dimensions of the container are 0.75 feet wide, 15.2 inches long, and 6.5 inches tall.

How many square inches of clear plastic will Thomas need to build the lateral surface area of the container?

### Answers

Answer:

Step-by-step explanation:

Thomas is building an enclosed container in the shape of a rectangular prism to house his pet tarantula. The dimensions of the container are 0.75 feet wide, 15.2 inches long, and 6.5 inches tall.

How many square inches of clear plastic will Thomas need to build the lateral surface area of the container?

Add. x+2/3x+x+5/2x2+10x

### Answers

**Answer:**

[tex]\frac{1}{6}[/tex] ×[tex](15x+76)[/tex]

**Step-by-step explanation:**

I think the answer is 12x+17/3 but I’m not completely sure

A jar contains 0.25 liter of apple juice and 0.30 liter of grape juice. Melissa poured 0.75 liter of pineapple juice into the jar. She then drank 0.20 liter of the mixture. Part A: Write an expression to represent the total amount of juice left in the jar. (5 points) Part B: Simplify the expression and identify which property is used in each step. (5 points)

### Answers

**Answer: Part A: 1.10 liter**

**Total amount of juice left = 0.25 + 0.30 + 0.75 - 0.20**

**Step-by-step explanation: **

**(original amount of juice + added juice) - juice that was drank = juice left in the jar**

**(0.25 + 0.30 + 0.75) - 0.20 =**

**1.30 - 0.20 =**

**1.10 left in jar**

A solution of a given equation is -3. An equation that would make this solution true: -10 + x = -13

Now that you have seen an example. Write TWO equations where the solution of the equation equals 6.

### Answers

**Answer:**

X = 6.

7 + X - 2 = 11

(9 + x) x 3 = 45

Complete the tables of values for y = 3x - 1.

ALSO

Please answer all the questions in the picture <3

### Answers

**Answer:**

**Step-by-step explanation:**

See attachment.

NEED HELP QUICK!!

The perimeter of a rectangular picture frame can be represented by the expression 6x , where x is one of the side lengths. Rewrite the expression as the sum of the four side lengths.

### Answers

**Answer:**

perimeter = x + x + 2x + 2x

**Step-by-step explanation:**

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Let x = one of the **width** side lengths:

⇒ 6x = 2x + 2L

⇒ 6x - 2x = 2L

⇒ 4x = 2L

⇒ 4x ÷ 2 = L

⇒ 2x = L

Therefore, perimeter = x + x + 2x + 2x

WILL GIVE BRAINLIEST

Directions: Solve using the FOIL method. Hint: Watch out for any negative signs and follow rules for signed numbers!

1. (x-2)(x+3)

2. (x+4)(x-12)

3. (x+3)(x+4)

4. (x+6)(x+7)

5. (x+8)(x+9)

6. (x-5)(x+5)

7. (x+3)(x-3)

8. (x+10)(x+10)

9. (x-2)(x+12)

10. (x + 4)(x - 3)

11. (x+5)(x+2)

12. (x-3)(x-4)

13. (x+7)(x-7)

14. (x-6)(x+3)

15. (x+10)(x-5)

### Answers

**Solution:**

Question 1.

(x - 2)(x + 3)=> x² + 3x - 2x - 6=> x² + x - 6

Question 2.

(x + 4)(x - 12)=> x² - 12x + 4x - 48=> x² - 8x - 48

Question 3.

(x + 3)(x + 4)=> x² + 4x + 3x + 12=> x² + 7x + 12

Question 4.

(x + 6)(x + 7)=> x² + 7x + 6x + 42=> x² + 13x + 42

Question 5.

(x + 8)(x + 9)=> x² + 9x + 8x + 72=> x² + 17x + 72

Question 6.

(x - 5)(x + 5)x² + 5x - 5x - 25=> x² - 25

Question 7.

(x + 3)(x - 3) => x² - 3x + 3x - 9=> x² - 9

Question 8.

(x + 10)(x + 10)=> x² + 10x + 10x + 100=> x² + 20x + 100

Question 9.

(x - 2)(x + 12)=> x² + 12x - 2x - 24=> x² + 10x - 24

Question 10.

(x + 4)(x - 3)=> x² - 3x + 4x - 12=> x² + x - 12

Question 11.

(x + 5)(x + 2)=> x² + 2x + 5x + 10=> x² + 7x + 10

Question 12.

(x - 3)(x - 4)=> x² - 4x - 3x + 12=> x² - 7x + 12

Question 13.

(x + 7)(x - 7)=> x² - 7x + 7x - 49=> x² - 49

Question 14.

(x - 6)(x + 3) => x² + 3x - 6x - 18=> x² - 3x - 18

Question 15.

(x + 10)(x - 5)=> x² - 5x + 10x - 50=> x² + 5x - 50

Please help me with 13 through 18. I’ll give you Brainly.

### Answers

13: 2x cubed - 5x squared + 3x

14: 2x + 2z

15: 2a squared - 9a + 5

16: 2x + y - 1

17: 2x squared +2y squared

Mckenzie and Cara both tried to find the missing side of the right triangle.

Mckenzie's Work Cara's Work

a2 + b2 = c2 a2 + b2 = c2

52 + 132 = c2 52 + b2 = 132

25 + 169 = c2 25 + b2 = 169

194 = c2 b2 = 144

Square root 194 equals square root c squared. Square root b squared equals square root 144.

13.93 ≈ c b ≈ 12

Is either of them correct? Explain your reasoning.

### Answers

**Answer: Mckenzie is correct**

*I had to reformat this section with the way it was typed, please let me know if I did anything wrong.*

Mckenzie's Work

a² + b² = c²

25 + 169 = c²

194 = c²

Square root 194 equals square root c squared.

c ≈ 13.93

Cara's Work

a² + b² = c²

25 + b² = 169

b² = 144

Square root b squared equals square root 144.

b ≈ 12

[] Right away we can tell that **Cara is not correct.**

-> Cara solves for b. We already have a b value, we need to solve for "c" in the equation.

[] Now let's look at Mckenzie.

-> Mckenzie does solve for the right variable, so let's see if she did it correctly.

-> First, she sets is up using a² + b² = c² since this is a right triangle. Next, she squares 5 to 25 and 13 to 169. Both correct.

-> Now they are added together. 25 + 169 do equal 194 so this looks correct.

-> Last, we square both sides. [tex]\sqrt{194}[/tex] ≈ 13.928388 which rounds to 13.93, so it looks like **Mckenzie is correct**.

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

PLEASE HELP ME WITH THIS QUESTION SHOW YOUR WORK THANK YOU!

### Answers

**Answer:**

16x^5 y^9

**Step-by-step explanation:**

Thats the answer I got from my calculator

ANSWER ASAP

The numbers in the sequence in part (e)(0,1,4,9) from problem 5-41 are called Fibonacci numbers. They are named after an Italian mathematician who discovered the sequence while studying how fast rabbits could breed. What is different about this sequence than the other three you discovered?

### Answers

Black men as the are the same people from the Green Mile

Which of the following equations is the result of completing the square on x^2 - 6x - 9 = 0?

( x - 3) ^2 = 0

( x - 3) ^2 = 18

( x - 3) ^2 = 9

### Answers

**Answer:**

x = 3 +- √18

**Step-by-step explanation:**

By completing the square method

A bank loaned out $19,500, part of it at the rate of 2% annual interest, and the rest at 3% annual interest.

The total interest earned for both loans was $555.00. How much was loaned at each rate?

### Answers

**Answer:**

-3(2x+5) = 5(-3)

-6x - 15 = -15

-6x = -15 + 15

x = 0/-6

x = 0

**Step-by-step explanation:**

The perimeter of a triangle is 240 cm. The lengths of the sides are 3:4:5.Calculate the lengths of the longest and shortest sides.

### Answers

**Answer:**

60cm and 100cm

**Step-by-step explanation:**

12 parts in total

240/12 is 20

each part is 20

3x20 is 60 and 5x20 is 100

PLEASE HELP! What situations can you model with one-step equations? PLEASE USE COMPLETE SENTENCES!! TYSM

### Answers

**Answer:**

Alex has 2 bottles of water, and Andrew has x more than him. they both combined have 12 water bottles, how many bottles does Andrew have?

hope this is it!

Which shape is a quadrilateral?

### Answers

**Answer:**

this shape is quadrilateral, as it has four vertex or four edges

what is the slope pls help

### Answers

**Answer:**

-3

**Step-by-step explanation:**

The slope is what comes right before the x value in the equation. In this instance, the equation is: [tex]y=-3x+4[/tex]. Therefore, the y-intercept is 4 and the slope is -3.

Please help me no bots please

### Answers

**Step-by-step explanation:**

Refer to attachment.

*Hope** **it** **helps**.*

Evaluate the function for f(x) = x + 3 and g(x) = x^2 – 2.

(f/g)(5)

(f/g)(5)=

### Answers

**Answer:**

8/23

**Step-by-step explanation:**

In functions, the (f/g)(x)=f(x)/g(x). It basically division of the functions.

We solve them each separately.

We first plug in 5 for all of the x values:

[tex]f(5)=(5)+3\\f(5)=8[/tex]

We then solve the second one:

[tex]g(5)=5^{2} -2\\g(5)=25-2\\g(5)=23[/tex]

So, now we divide!

[tex](f/g)(5)=\frac{f(5)}{g(5)} \\\frac{8}{23}[/tex]

Hope this helps!