3.2 geometry worksheet

3.2 Geometry Worksheet

Answers

Answer 1

Answer/Step-by-step explanation:

9. 17x = 16x + 5 (alternate exterior angle)

17x - 16x = 5

x = 5

Measure of bolded angle = 17x = 17 * 5 = 85

10. 21x - 6 = 20x (corresponding angels)

21x - 20x = 6

x = 6

Measure of bolded angle = 20x = 20(6) = 120

11. (x + 95) + (x + 105) = 180 (linear pair angles)

2x + 200 = 180

2x = 180 - 200

2x = -20

Divide both sides by 2

x = -10

Measure of bolded angle = x + 105 = -17 + 105 = 88°

12. 12x - 4 = 11x + 3 (vertical angles)

Collect like terms

12x - 11x = 4 + 3

x = 7

Measure of bolded angle = 11x + 3 = 77 + 3 = 80°


Related Questions

To solve the following system of equations x+3y=6 2x-3y=3 Which of the following steps should be followed ?

Answers

I think it’s c or it could be d

I NEED HELP PLEASE????!!!!!!!

Answers

Answer:

its c!!!!!!!!!!!!!!!!!!!!!!!!

C I agree with the other person c

-b+ 3x = C + 5b

Solve for x in terms of b and c


I NEED HELP

Answers

Answer:

x = (c + 6b)/3

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

-b + 3x = c + 5b

Step 2: Solve for x

Add b to both sides:                    3x = c + 6bDivide 3 on both sides:               x = (c + 6b)/3

The short sldes of a rectangle are 2 Inches. The long sides of the same rectangle are three less than an unknown
number of Inches.
If the area of the rectangle is 22 square Inches, what is the value of the unknown number?
inches

Answers

Answer:

33

Step-by-step explanation:

The area is 22, and to find area you do l*w

so 22/2=11

so 11*3=33

your unknown number is 33

Can you find the slope and type the correct code?

Answers

Answer:
1. 2
2. -3
3. 5 (Change in Y, over change in X) 28-18/4-2 = 5
4. 1

Code:
C
A
H
F

Which of the following functions best describes this graph?
A. y= x^2 - x + 5
B. y = (x - 3)(x + 1)
C. (x-1)(x-1)
D. y = x^2 - 5x + 6​

Answers

Step-by-step explanation:

The function that best describes the graph is y = (x - 1)² (C).

what is 8/66 simplified

Answers

Answer:

4/33 = 0.12121

Step-by-step explanation:

Answer:

8/66 reduced is 4/33

Step-by-step explanation:

paving
6.
A road 2 m broad surrounds a square park 4225 m² in area. Find the cost of
marbles each of 25 cm by 8 cm in size on the road at Rs 50 per piece of marble.​

Answers

Given :

A road 2 m broad surrounds a square park 4225 m² in area.

Size of marble is 25 cm by 8 cm.

Price of each marble is Rs 50.

To Find :

Total cost.

Solution :

Side of square road is :

[tex]A^2 = 4225\ m^2\\\\A = 65\ m[/tex]

Area of road = [tex]4\times 65\times 2 \ m^2=520\ m^2[/tex]

Number of marbles required is :

[tex]N = \dfrac{A}{a}\\\\N = \dfrac{520\times 10^4\ cm^2}{200\ cm^2}\\\\N = 26000[/tex]

It is given that price per marble is Rs 50.

So, total price required is :

[tex]P = Rs \ 50\times 26000 \\\\P = Rs \ 13,00,000[/tex]

Hence, this is the required solution.

Michael invests $2,600 into a certificate of deposit (cd). If he earns 4.5% interest, how long will it take for him to earn $234 in simple interest?

Answers

Answer:

2 years

Step-by-step explanation:

Step one:

Given Information

Principal= $2600

rate = 4.5%

SImple interest = $234

Required

The time T of the investment

Step two:

the expression for simple interest is

[tex]SI= PRT/100[/tex]

substitute

[tex]234= 2600*4.5*T/100[/tex]

cross multiply we have

[tex]234*100= 2600*4.5*T\\\\23400= 11700T\\\\[/tex]

divide both sides by 11700

[tex]23400/11700= T\\\\T= 2 years[/tex]

combine like terms:

Answers

Answer:

Step-by-step explanation:

Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same?

The two populations will be the same after _____
years.

Answers

Answer:

after 3 years on edg

Step-by-step explanation:

Answer:

3 years

Step-by-step explanation:

WILL GIVE BRAINIST!!!
AND 20 POINTS:)

Answers

Ummmm its not clear so

What is the first step in solving this equation? 1/2x+7=2/3x-6?

Answers

Answer:

subtract 1/2x from 2/3x

Step-by-step explanation:

Step-by-step explanation:

doing whole question

Combine multiplied terms into a single fraction

12+7=23⋅−6

12+7=23⋅−6

Multiply by 1

12+7=23⋅−6

2+7=23⋅−6

Combine multiplied terms into a single fraction

2+7=23−6

2+7=23−6

Subtract 7 from both sides of the equation

2+7=23−6

2+7−7=23−6−7

Simplify

Subtract the numbers

2=23−13

Multiply all terms by the same value to eliminate fraction denominators

2=23−13

2⋅3⋅2=2⋅3(23−13)

Simplify

Cancel multiplied terms that are in the denominator

Multiply the numbers

Distribute

Combine multiplied terms into a single fraction

Multiply the numbers

Cancel terms that are in both the numerator and denominator

3=4−78

Subtract 

4

4x4x

 from both sides of the equation

3=4−78

3x=4x-783x=4x−78

3−4=4−78−4

Simplify

Combine like terms

−=−78

Divide both sides of the equation by the same term

−=−78

-x=-78−x=−78

−−1=−78−1

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=78

x=78 is the right answer

If you were to roll the dice one time what is the probability it will NOT land on a 2?

Answers

Answer:

5 / 6

Step-by-step explanation:

Given that:

Probability that a dice rolled once will not land on 2

Probability = required outcome / Total possible outcomes

Total possible outcomes = (1, 2, 3, 4, 5, 6)

Required outcome = 2

P(not land on 2) = 1 - p(land on 2)

P(land on 2) = 1/6

P(not land on 2) = 1 - 1/6

P(not land on 2) = 5/6

Please help me out!!!!!

Answers

Answer:

C is not a zero for the solution of the polynomial equation

Please slow down with posting questions, this seems like a Canvas Exam.

Answer:

its not a zero

Step-by-step explanation:

hope this helps <3

Michael’s bill at a restaurant was $46.32. He wants to leave a 17% tip. What will the new total be, including tip?

Answers

46.32x1.17=$54.19 you’re welcome

Answer:

$54.19

Step-by-step explanation:

A 15-foot log is split into 2 pieces. How long are the pieces if the longest piece is 1.5ft shorter than two of the shorter pieces?

HELP

Answers

Answer:

8.25 ft & 6.75 ft

Step-by-step explanation:

So we know it's split into two pieces, right? So normally that would be 7.5 ft each. But one is 1.5 ft longer than the other. So as a result, I divided that by 2 to add 0.75 ft to piece one and subtract 0.75 ft from piece two's length. So, the longer piece is 8.25 ft, and the shorter one is 6.75 ft.

Answer:

Solution given:

total length=15foot

splits into 2 pieces

let shorter pieces be x.

we have longer pieces =2x-1.5ft

Now

total length=x+2x-1.5ft

15 ft =3x-1.5ft

15+1.5=3x

x=[tex] \frac{16.5}{3} [/tex]=5.5ft

Now

shorter length: 5.5ft.

longer length:2*5.5-1.5=9.5ft.

Lauren bikes 4/3 miles in 1/10 hour. How long does it take her to bike one mile?

Answers

Answer:

3/40 hours.

Step-by-step explanation:

hope this helps !

What’s the pair of perpendicular line segments?

Answers

Answer:

Two perpendicular segments are segment AB and segment CD

Step-by-step explanation:

The given construction with the straight edge and the compass gives;

1) A straight line CD

2) A line AE from the center of the circle A, to the line CD

3) The circles A and B constructed from the centers A and B respectively

Therefore

Whereby the points A and B are joint by the line AB, we have;

The line passing through the points C and D is the perpendicular bisector of line AB

Therefore, two perpendicular segments are segment AB and the perpendicular bisector of AB which is segment CD

What is the product?
(-3s+2t)(4s-t)

Answers

Answer:

- 12s² + 11st - 2t²

Step-by-step explanation:

Given

(- 3s + 2t)(4s - t)

Each term in the second factor is multiplied by each term in the first factor, that is

- 3s(4s - t) + 2t(4s - t) ← distribute both parenthesis

= - 12s² + 3st + 8st - 2t² ← collect like terms

= - 12s² + 11st - 2t²

HELPPPPPPPPPP Lol thankd

Answers

Answer:

6 10

Step-by-step explanation:

Answer:

6, 10

Step-by-step explanation:

The first point is on 6, and ending at 10.

kolik má čtverec rohů

Answers

Answer:

4

Step-by-step explanation:

Factor Completely

-m^3-2m^2-16m-32

Answers

Answer:

-(m+2)(m^2+16)

Step-by-step explanation:

What is the rewritten equation with an improper fraction for 3/4 divided by 1/2?

Answers

Answer:

Step-by-step explanation:

3/4 / 1/2

i think u multiply the recipricol 3/4x2/1=6/4 or 3/2

Find the unit rate of the following:
(miles per hour)
22.75 miles in 3.5 hours =

Answers

Answer:

The unit rate is 6.5mph or 6.5 miles per hour.

Step-by-step explanation:

22.75/3.5 = 6.5

The top of a ladder slides down a vertical wall at a rate of 0.32 m/s. At the moment when the bottom of the ladder is 8 m from the wall, it slides away from the wall at a rate of 0.6 m/s. How long is the ladder?

Answers

Answer:

The length of the ladder = 17 meters(17m)

Step-by-step explanation:

The formula to find the Length of the ladder is given as:

L² = x² + y²

Where L = Length of the Ladder

Let x = 8m

We solve for y

From the above question, we are told that:

The top of a ladder slides down a vertical wall at a rate of 0.32 m/s.

Hence: (-0.32)y = -0.32y

At the moment when the bottom of the ladder is 8 m from the wall, it slides away from the wall at a rate of 0.6 m/s. Hence:

8(0.6) - 0.32y = 0

4.8 = 0.32y

y = 4.8/0.32

y = 15m

Hence:

L² = x² + y²

L² = 8² + 15²

L² = 64 + 225

L² = 289

Square root both sides

L = √289

L = 17m

The length of the ladder = 17 meters(17m)

Moreeeeee points. Hope you guys like

Answers

Answer:

Thank you very much :3

Have a great day!

also 1 + 1 is 2

Answer:

yeah I like that your free points and thanks

5(2t−3)−7.5t=0.5(12−t)
can you solve for t?
Thank you!

Answers

Answer: T=7

Step-by-step explanation:

0t−15−7.5t=6−0.5t

2 Simplify  10t-15-7.5t10t−15−7.5t  to  2.5t-152.5t−15.

2.5t-15=6-0.5t2.5t−15=6−0.5t

3 Add 1515 to both sides.

2.5t=6-0.5t+152.5t=6−0.5t+15

4 Simplify  6-0.5t+156−0.5t+15  to  -0.5t+21−0.5t+21.

2.5t=-0.5t+212.5t=−0.5t+21

5 Add 0.5t0.5t to both sides.

2.5t+0.5t=212.5t+0.5t=21

6 Simplify  2.5t+0.5t2.5t+0.5t  to  3t3t.

3t=213t=21

7 Divide both sides by 33.

t=\frac{21}{3}t=

​3

​21

​​  

8 Simplify  \frac{21}{3}

​3

​21

​​   to  77.

t=7t=7

Combine like terms and write an equivalent expression with fewer terms: 5 + 2x + 7 + 4x

Answers

Answer:

6x+12

Step-by-step explanation:

5 + 2x + 7 + 4x

2x + 4x = 6x

5 + 7 = 12

6x + 12

Solve this question ​

Answers

Answer:
You have to do Cross multiplication,
2x+5 = 1(x+4) which is simply 2x+5=x+4.
1. x+5=4
2. x=-1

Answer:

X= -1

Step-by-step explanation:

2x+5=1(x+4)

2x+5=1x+4

2x-1x=-5+4

x=-1

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