Graded Assignment
Unit Test, Part 2: Two-Dimensional Geometry
Answer the questions below. When you have finished, submit this assignment to your teacher by the due date for
full credit.
Total score:
of 15 points
(Score for Question 1:,
of 5 points)
1.
The iS diagram shown is two intersecting lines. The measure of 25 is 47°.
(a) What is the measure of 27 ? How do you know. Explain you answer in complete sentences.
(b) Suppose the measure of 26 can be represented by (2x-5)). What equation can be written to solve
for the value of x?
(c) What is the value of x?
Answer:

Graded AssignmentUnit Test, Part 2: Two-Dimensional GeometryAnswer The Questions Below. When You Have

Answers

Answer 1

By using what we know about intersecting lines, we will see that:

a) ∡7 = 47°b) 47° + (2x - 5)° = 180°c) x = 69

How to get the measures of the angles for two intersecting lines?

When two lines intersect, 4 angles are formed. There are two properties that these angles have.

If the angles are adjacent, then their measures add up to 180°If the angles are not adjacent, these angles have the same measure.

a) We know that ∡5 = 47°

And 7 is not adjacent to 5, then 7 has the same measure:

∡7 = 47°

b) 6 and 5 are adjacent, then we must have that:

∡5 + ∡6 = 180°

47° + (2x - 5)° = 180°

That is the equation we need to solve to get the value of x.

c) To solve the linear equation we need to isolate x, let's do that:

47° + (2x - 5)° = 180°

(2x - 5)° = 180° - 47° = 133°

2x - 5 = 133

2x = 133 + 5 = 138

x = 138/2 = 69.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

Answer 2

Answer:

a)  <5 and <7 have congruent angles. That means that both angles are equal, they have the same measure. This means that the measure of <7 is 47°.

<7 = 47°

b) 5 and 6 are adjacent, so this is the equation that we have to do to solve for the value of x.

<5 + <6 = 180°

47° + (2x - 5)° = 180°

c) To solve the linear equation we need to isolate x.

47° + (2x - 5)° = 180°

(2x - 5)° = 180° - 47° = 133°

2x - 5 = 133

2x = 133 + 5 = 138

x = 138/2 = 69


Related Questions

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP when u answwer dont come bck tho

Answers

C

For negatives the higher the number the lower it is…

Answer:

i belive it is c. -5.4

Step-by-step explanation:

because as the temperature increases in the negative zone you are also decreasing the momentary value of that number so -3.4 is greater than -5.4 (facts)

How to tell if an equation is a porabilula

Answers

Answer:

Parabolas have a plane-curve shape, like the one shown in the picture.

Simplify: (-4ab^2)(-3b^2c) (5a)

Answers

Answer:

[tex]60a^{2} b^{4} c[/tex]

Step-by-step explanation:

just multiply first paranthesis with second one. They are each 1 unit as there are no addition or subtraction inside the parantehsis so DON'T distribute. It's more simple.

(12ab^4c)*(5a)

now multiply these 2 paranthesis, again just 2 units to multiple.

60a^2b^4c

What is the solution to n+25= -1

Answers

Answer:

n=-26

Step-by-step explanation:

Since n+25=-1, that means n must be less than -25 since if -25+25=0, so n=-26 since -1 is 0-1.

PLEASE HELP ILL MARK BRAINLIEST PLEASEEEEE HELPPPPP

Answers

Answer:

m < 2 = 130°

m < 3 = 50°

m < 4 = 130°

m < 5 = 50°

m < 6 = 130°

m < 7 = 50°

m < 8 = 130°

Step-by-step explanation:

I hope this helps.

Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points
(10,2) and (-3,2)

Answers

Answer:

y = 2

Step-by-step explanation:

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

Finding the Slope of the line:

[tex]\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

[tex]\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Substitute the coordinates of the given points:

[tex]\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10 }[/tex]

Simplify the equation to determine the slope:

[tex]\implies \text{Slope} = \dfrac{0}{-3 - 10 }[/tex]

∴ 0 divided by ANY number is ALWAYS 0.

[tex]\implies \text{Slope} =0[/tex]

Finding the equation of the line:

Point slope form formula: y - y₁ = m(x - x₁)

x₁ and y₁ are the coordinates of any given point.m is the slope

Substitute the values in the point slope form:

[tex]\implies \text{Equation of line:} \ y - y_{1} = m(x - x_{1} )[/tex]

[tex]\implies \text{Equation of line:} \ y - 2 = 0(x - 10)[/tex]

Simplify the equation to determine the equation of the line:

Any number multiplied by 0 is 0.

[tex]\implies \text{Equation of line:} \ y - 2 = 0[/tex]

[tex]\implies \text{Equation of line:} \ y = 0 + 2[/tex]

[tex]\implies \text{Equation of line:} \ y = 2[/tex]

Thus, the equation of the line is y = 2.

pls answer i need help

Answers

Step-by-step explanation:

xcos60 = 5root3/3

1/2x = 5root3/3

x = 10root3/3

Choice C

Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. ( If you reshare another students answer from brainly or any other websites you'll be reported) Will Mark Brainliest if answered correctly and draw a diagram). Thank you.​

Answers

We need theta first (angle

[tex]\\ \rm\rightarrowtail sin\theta=\dfrac{P}{H}[/tex]

[tex]\\ \rm\rightarrowtail sin\theta=\dfrac{11.8}{12}[/tex]

[tex]\\ \rm\rightarrowtail sin\theta=0.9834[/tex]

[tex]\\ \rm\rightarrowtail \theta=sin^{-1}(0.9834)[/tex]

[tex]\\ \rm\rightarrowtail \theta=79.54°[/tex]

On rounding it will go till 80°

So it's not safe

What is the most inexpensive way to measure heart rate during exercise?
A. Doing a rate of perceived exertion
B. Taking your pulse
C. Wearing a heart rate monitor
D. None apply

Answers

Answer:

C

Step-by-step explanation:

Taking your own heart rate is the most inexpensive, but it is also accurate if you can measure it correctly.

Marta studied 20.75 hours total in April and May, she studied 13 hours total in May.
How many hours did Maria study in April?

Answers

Answer:

20.75-13=7.75

Maria studies 7.75 hours in April

Step-by-step explanation:

Brainliest would be appreciated

In the above figure, m∠A = 26° and m∠B = (2x + 16)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A. x = 24, m∠B = 64°
B. x = 50, m∠B = 64°
C. x = 69, m∠B = 154°
D. x = 24, m∠B = 48°

Answers

Answer:

A. x = 24, m∠B = 64°

Hope this helps!

a blank is a transformation that changes the slope of a line​

Answers

Answer:

I'm pretty sure its Stretches and Compressions.

Step-by-step explanation:

You pick a card at random. Without putting the first card back, you pick a second card at random.

3
4
5


What is the probability of picking a 5 and then picking a 5?

Write your answer as a fraction or whole number.

Answers

0 if there is only 1 5

Answer:1/169 i think

Step-by-step explanation:

Because you have to get a 5 twice in a row your first probability for one would be 4/52 or 1/13 but because you have to do it twice in a row you multiply the odds together 1/13*1/13=1/169

(Five Stars & Thanks to whoever answers first)

Answers

Answer:

2/3

Step-by-step explanation:

They rolled an even number 40/60 times which simplifies to 2/3

Answer:

C

Step-by-step explanation:

Table

Dice Roll             Number of times

1                               4

2                              11

3                               6

4                              17

5                              10

6                              12

Total                        60

Total of the even numbers

11

17

12

40  

P(even) = even / total

P(even)  = 40/60

AnswerP(even) = 2/3

how many solutions does 2a-5a=-3a have

Answers

Answer:

Step-by-step explanation:

2a-5a = -3a, combine like terms

   -3a = -3a , this is true all the time so ...

The equation  2a-5a = -3a has infinite many solution.

Which point is a solution to the linear inequality y < -1/2
X + 2?

Answers

Answer:

This is the best answer I could find but it may be incorrect (3,-2)

An athlete has aggressive outburst towards the opposing players is
A. extrovert/stable
B. introvertlunstable
C. introvert/stable
D. extrovert/unstable

Answers

Answer:

D. extrovert/unstable

Step-by-step explanation:

At Garcia's Bike Rentals, it costs 31 to rent a bike for 7 hours. How many hours of bike use does a customer get per dollar?

Answers

[tex]\tt \dfrac{7}{31}=0.226~hours/dollar[/tex]

NEED HELP ASAP WILL MARK BRAINLEST!!

Answers

Does it tell you to make up your own problem situation or to choose from, if it asks you to choose from the provided then you didnt send the screenshot properly send it again and I will help you answer it but in case it asked you to make upyour own problem situation heres the answer:

Step-by-step explanation:

John has built houses on 59.48 acres of land, his dad had given him 300 acres of land before passing, john plans on building a lot more houses this year. X is the amount of acres of land he will use to build the house in addition to the 59.48 acres of land already used to build houses previously, combined they can equal a maximum of 300 acres because thats all he has.

Find BC.
Round to the nearest tenth.

Answers

this is 50 because of you add it up to the tenth it’s the ten

please help me find the formula of this table graph thingy

the topic Is graph and direct propotion​

Answers


Find the ratio of the given one: 20/200 = 0.1


this means the sugar (y) is 0.1 amount of soda (x)

Multiply the amount of soda by 0.1:


Formula is y = 0.1x

Answer Below/Step-by-step explanation:

Formula : y = kx or y = k/x

Thus since the formula is y = kx then we can substitute:

y = 20

k = ?

x = 200

20 = ? / 200

? = 10

Therefore for the rest of the blank

100/10 = 10

500/10 = 50

1000/10 = 100

So the chart now is:

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20      |  10       |    50   |  100   |

[RevyBreeze]

Genetics, stress and_________can also have an impact on the health of the cardiovascular system.
A. attitude
C. lifestyle

Answers

Answer:

C. lifestyle

Step-by-step explanation:

Hope this helps!

What are the x- and y-intercepts of the graph of 5x – 4y = 20?

Answers

Answer:

The x-intercept is (4, 0)

The y-intercept is (0, -5)

Step-by-step explanation:

The x-intercept is always (x, 0)

Knowing this we can sub 0 for y in the equation so we can find the x-intercept

[tex]5x-4y=20\\5x-4(0)=20\\5x=20[/tex]

Now solve for x

[tex]5x=20\\\frac{5x}{5} =\frac{20}{5} \\x=4[/tex]

The x-intercept is (4,0)

The y-intercept is always (0, y)

Knowing this we can sub 0 for x in the equation so we can find the y-intercept

[tex]5x-4y=29\\5(0)-4y=20\\-4y=20[/tex]

Now solve for y

[tex]-4y=20\\\frac{-4y}{-4} =\frac{20}{-4} \\y=-5[/tex]

The y-intercept is (0, -5)

What are the solutions to the problem?

(A B C or D?)

Answers

Answer:

C

step by step equation:

add 3 to both side

than simplify

What number represents 8 times as many as 2

Answers

answer: 16

explanation: 8*2=16

The number that represents 8 times as many as 2 is 16.

The times in the question is nothing but multiplying a number with another number.

To find the number that represents 8 times as many as 2.

we need to multiply 2 by 8.

Two times eight is equal to sixteen.

2 × 8 = 16

Therefore, the number that represents 8 times as many as 2 is 16.

To learn more on Multiplication click:

https://brainly.com/question/5992872

#SPJ6

A bedroom door has a perimeter of 26 feet and an area of 36 square feet. What are the dimensions of the door?

Answers

4 and 9

Because 4+4+9+9=26

And 4x9=36

You can use trial and error or substitution.

Equation 1. 2x + 2y = 26
Equation 1. x = 13 - y

Equation 2. xy = 36
Equation 2. x = 36/y

Equation 1 = Equation 2 to equal equation 3. Then move all the terms to one side and factorise to get your answer.

Equation 3. 13 - y = 36/y
Equation 3. y squared - 13y + 36 = 0
Equation 3. (y - 4)(y - 9)
y = 4 or 9

Therefore the dimensions are 4 and 9

one more than nineteen​

Answers

Twentytwenty

And in numerical form, 20

Answer:

20

Step-by-step explanation:

first yo get the number 19 then after that you can add 1 and your answer is 20 and aafter 20 (just incase you want to know) is 21

What number is 35% of 675?​

Answers

Answer:

236.25

Step-by-step explanation:

35/100x675=945/4 = 236.25

please i really need help right now 25 points

Answers

Answer:

C

Step-by-step explanation:

f(x) are 6; 2; -3; 4, finalle the answer C is correct.

If you have 5 blue marbles, 8 yellow marbles, and 2 green marbles. What is the probability of pulling a yellow marble?

Answers

Add all them up. 5+8+2 = 15

How many yellows? 8/15 = 0.533 ~~ 53%

Answer: 8/15

Step-by-step explanation: take all the color of marbles and add them together. There is where you get your denominator of 25. Next, since you are finding for yellow marbles, take the number of yellow marbles (8) and that will be your numerator.

Other Questions
what is the color of indicator for battery acid, water, vinegar, soda pop, shower (ammonia) cleaner and liquid drain cleaner Filipino are hospitable loving an has patience 41. The dietary manager is not a key member of the interdisciplinary team.TrueFalse if a person travels 1/4 miles in 1/6 hour,how fast are they traveling in miles per hour An object falls from a window. the distance the object has traveled, d, varies jointly with the acceleration due to gravity and the square of the time elapsed. the object has fallen 5.929 meters in 1.1 seconds, and the acceleration due to gravity is 9.8 meters per second squared. assuming the object continues to fall and the acceleration due to gravity remains the same, what is the total distance the object travels in 2 seconds? 10.8 m 19.6 m 21.6 m 39.2 m The greatest variation in size, mass, and luminosity occurs in:. are cells smaller and simpler than either tissues or organs The dome of a cathedral has a semispherical form with radius of 50m. If the restoration costs $300 per m, what is the total cost of the restoration? Ms. Sampson tells her class to write an equivalent fraction for 1/2. Lucy writes 3/8 and Tim writes 4/8. Wich student is correct? Explain how you know Paul took his daughter and her friends fishing. They had to leave early in the morning, so he bought 6 glazed donuts to share. He also bought himself a huge coffee for $3.50.If the total was $9.50, how much did each donut cost? PLS HELP ME I REALLY NEED HELP I NEED THIS DONE TONIGHT (100 points) (best answer I brainliest) ( no links will get reported) (no stealing points will also get reported)Part 1-Civilizations:On the map, outline all of the Asia and Africa (9 civilizations in all) civilizations studied in Module 8. Then, complete the map key by labeling and color-coding each of the 9 civilizations. (Outlining seems to work better than shading since so many of the civilizations overlap)Part 2-Contributions:1. Choose either Ancient Asia (dynasties from Module 8 only) or Ancient Africa.2. Then, complete the contributions key chart. Here you will pick 5 contributions from that set of civilizations. The contributions do not all have to be from one civilization, but they do all need to be from one continent. The 5 contributions need to represent 5 of the 6 S.P.R.I.T.E areas.* For example, you might include a Religious contribution from Kush, a political contribution from Ghana, an intellectual contribution from Ghana, a technological contribution from Mali and an economical contribution from Kush*You will name the contribution, pick a symbol to represent that contribution, tell the SPRITE category and civilization of the contribution and include a 1 sentence description of the contribution.3.Last, you need to put the symbols for the 5 contributions onto the map, in their corresponding civilization. Take a look at the attached example to see how this is done.An example is attached.Part 3-Response Question:Then, you will use the information you gathered, along with the knowledge you learned from this unit to answer this response question (also listed on the worksheet) in 2-3 sentences:In your opinion, which contribution has been the most influential over time? Pick one contribution (from either Ancient Asia or Ancient Africa) that you feel has been the most influential over time. Give one reason to support your opinion. You will submit the map project as your assignment to be graded. What are two similarities between Lose Yourself - Eminem and U Cant Touch This - MC Hammer A kind of music originally developed by poor urban Algerian children and later used to expose political dissatisfaction is known as _____. Find the derivative.[tex]\dfrac{d}{dx} \left[ \sin^{-1}(\cos e^x)-\cos^{-1}(\sin e^x) \right][/tex] How was the political environment in Europe in the 1800s Which two additional marketing ps help retailers deliver the best retail experience?. 26. What is the difference between an input force and output force? Read the excerpt from Act III of Hamlet.The oppressors wrong, the proud mans contumely,The pangs of disprizd love, the laws delay,The insolence of office, and the spurnsThat patient merit of the unworthy takes,When he himself might his quietus makeWith a bare bodkin?What does Hamlet mean when he refers to the "pangs of disprizd love"?courtshipromancepassionheartache Item 10Why are entrepreneurs important to Georgias economic growth and development?(Choose 2) Jamie is single. In 2021, she reported $104,000 of taxable income, including a long-term capital gain of $5,400. What is her gross tax liability