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:

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.

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°

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

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

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

Answer:

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

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.

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)

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

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.

y = 2

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.

[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]

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

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.

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.

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

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]

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.

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

Answer:

C

Step-by-step explanation:

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

Answer:

236.25

Step-by-step explanation:

35/100x675=945/4 = 236.25

Step-by-step explanation:

xcos60 = 5root3/3

1/2x = 5root3/3

x = 10root3/3

Choice C

Answer:

I'm pretty sure its Stretches and Compressions.

Step-by-step explanation:

Answer:

A. x = 24, m∠B = 64°

Hope this helps!

Answer:

C

step by step equation:

add 3 to both side

than simplify

Answer:

C. lifestyle

Step-by-step explanation:

Hope this helps!

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)

Answer:

20.75-13=7.75

Maria studies 7.75 hours in April

Step-by-step explanation:

Brainliest would be appreciated

Answer:

D. extrovert/unstable

Step-by-step explanation:

Answer:

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

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

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.