Below are two parallel lines with a third line intersecting them.
2°
50°

Answer:

B

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Given

3x + 5x = 8 ← collect like terms on left side

8x = 8 ( divide both sides by 8 )

x = 1

Step-by-step explanation:

It is given that, Katie walks 2 ft forward and 5 ft backwards. We need to find her displacement traveled.

The difference between final position and the initial position is equal to displacement. It is the shorted path covered.

Let forward is +x and backward is -x

Initial position of Katie = +2 ft

Final position of Katie = -5 ft

Displacement = final position - initial position

= -5 - 2

Displacement = -7 ft

So, her displacement is 7 feet in backward direction.

Answer: Yes it is possible to bisect the given segment

The compass width (9) is over half of the segment length (10), so we can form the arcs needed to get the perpendicular bisector.

Answer:

13.2

Step-by-step explanation:

We just divide 79/6 which is equal to 13.1666667 which we can round to 13.2

Answer:

13.166667 best describes the fraction 79/6

Answer:

Approximately

W=132.29

Step-by-step explanation:

W=k(TA√F)/R

T=78°F

R=5.6 inches

F=4

A=1000 square feet

W=$72

Solve for k

W=k(TA√F)/R

72=k(78*1000*√4)/5.6

72=k(78,000*2) / 5.6

72=k(156,000) / 5.6

72*5.6 =156,000k

403.2=156,000k

k=403.2/156,000

=0.002585

Solve for w when F=6, A=1500, T= 78, R=5.6 inches

W=k(TA√F)/R

W=0.002585(78*1500*√6) / 5.6

=0.002585(78*1500*2.4495) / 5.6

=0.002585(286,591.5) /5.6

=740.8390 / 5.6

=132.2927

W=132.2927

Approximately 132.29

Answer:

A model that shows a pitcher holding 8 times the amount of a glass

Step-by-step explanation:

I would need a picture of the models, but I think I can still help.

Any model that shows a pitcher holding 8 times as much as a glass is the correct model. Be sure to read carefully so you pick the right model.

The equation y = 8x shows the relationship between the holding capacity of the pitcher and glass, and x = 64/8 shows the total amount held by the glass.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the pitcher can hold x ounces

And the glass can hold y ounces

From the given problem:

y = 8x

The above equation modeled the relationship between the holding capacity of the pitcher and glass.

If y = 64

Then x = 64/8 = 8 ounces

Thus, the equation y = 8x shows the relationship between the holding capacity of the pitcher and glass, and x = 64/8 shows the total amount held by the glass.

Learn more about the linear equation here:

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Answer: D

Step-by-step explanation:

Irrational numbers cannot be expressed as a ratio of two integers.

Answer:

D only

Step-by-step explanation:

Answer:

2 column proof is a logical argument consisting of statements and the reasons to show why those statememts are true.

Step-by-step explanation:

Answer:

The +1 in f(x) is the y intercept

The +1 in g(x) is the y coordinate of the vertex

Step-by-step explanation:

For f(x), plugging in x = 0 leads to

f(x) = 2x^2+5x+1

f(0) = 2(0)^2+5(0)+1

f(0) = 1

Showing that (0,1) is the y intercept of f(x).

The same is not true for g(x)

g(x) = 2(x+5)^2+1

g(0) = 2(0+5)^2+1

g(0) = 51

-------------------------------

The +1 for g(x) represents the y coordinate of the vertex. Recall that vertex form in general is

y = a(x-h)^2+k

with (h,k) being the vertex. This means we can quickly spot the vertex for g(x) without having to graph. The same cannot be said for f(x) as we need to complete the square to get f(x) into vertex form. Currently, f(x) is in standard form.

Answer:

1. 1/120

2. 7/24

Step-by-step explanation:

n = 10

Number of defective = 3

1. Probability of all defective =

(Number of defective/n) x (number of defective -1/n -1)...(number of defective -n/n-1)

=3/10 x 2/9 X 1/8

= 6/720

= 1/120

2. probability of none defective

Since 3 are defective, those that are not defective = 7

The probability is therefore:

7/10 x 6/9 x 5/8

= 210/720

= 7/24.

Answer:

B

Step-by-step explanation:

To achieve an average of 95% on 4 tests, the sum of the scores Olivia gets must be 95 * 4 = 380. Right now, the sum of her scores is 89 + 98 + 96 = 283 so she must get at least a 380 - 283 = 97% on her last test.

Hey there! I'm happy to help!

Squaring a number is when you multiply it by itself. You represent this with an exponent, which is a little number above the number that you multiply by itself. When you square a number, this exponent is two.

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

The square root is basically just doing this backwards. It is finding the number that can be multiplied by itself to equal that number. You represent this with the √ symbol.

√1=1

√4=2

√9=3

√16=4

√25=5

√36=6

√49=7

√64=8

√81=9

√100=10

We know that 8 multiplied by itself is equal to 64. This means that the square root of 64 is 8.

I hope that this helps you out! Have a wonderful day! :D

Answer:8 weeks

Step-by-step explanation:

Answer:

Column 1 label:

✔ t

Column 2 label:

✔ 112 + 8t

Column 3 label:

✔ w

Column 4 label:

✔ (t, w)

Step-by-step explanation:

edge20

Stephen is tracking how many words per minute (wpm) he reads for reading class. He is now at 112 wpm, and each week he hopes to increase his speed by 8 words per minute.

Equation: w = 112 + 8t

t = time (weeks)

w = wpm

Label the columns for the table

Column 1 label:

✔ t

Column 2 label:

✔ 112 + 8t

Column 3 label:

✔ w

Column 4 label:

✔ (t, w)

Answer:

Length of the diagonal = 20√3 units

Step-by-step explanation:

Given:

Side of square = 10√6 units

Find:

Length of the diagonal

Computation:

Using Pythagorean theorem.

Length of the diagonal = √2(a)²

Length of the diagonal = √2(10√6)²

Length of the diagonal = √1200

Length of the diagonal = 20√3 units

Answer:

C. g(x) = 4x²

Step-by-step explanation:

The function g(x) has a point (1,4) on its graph

Just plug in the values of x and y and see which of the options correct

A..............

Incorrect

B..............

Incorrect

C...............

Correct

D..............

Incorrect

Answer:

94

Step-by-step explanation:

PEDMAS

[tex]34 - 6 \times 3 + 78 \\ 34 - 18 + 78 \\ 34 + 60 \\ = 94[/tex]

Step 1 : Multiplication :

-6×3 =-18

Step 2: Addition: -18+78 = +60

Step 3: Addition : 35+60

= 94

Answer:

62

Step-by-step explanation:

Cause first is multiply 6x3 =18 so next you add 18+78 =96 then Subtract 96 -34 =62

Answer:

1.54 and 1.7 I believe

Step-by-step explanation:

Answer:

The full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds

Step-by-step explanation:

To find how many pounds each tire is, divide the weight in grams by 453.592

Full steel tire:

800/453.592 = 1.76 pounds

Lighter wheel:

700/453.592 = 1.54 pounds

So, the full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds

Answer:

C or D

Step-by-step explanation:

It is a line segment but C and D are the exact same in the question you provided.

The part of a line that has two endpoints and includes all of the line segment

A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints

You can draw a line by locating any two point in space and then connecting them together.

Based on the explanation we can conclude that part of a line that has two endpoints and includes all of the line segment

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Answer:

[tex]B' = (-3,6)[/tex]

Step-by-step explanation:

Given

[tex]A(4,5)[/tex]

[tex]B(0,5)[/tex]

[tex]C(3,-1)[/tex]

Translation: 3 units left and 1 unit right

Required

Determine the new coordinates of B

Write out the coordinates of B

[tex]x = 0[/tex]

[tex]y = 5[/tex]

When a function is shifted to the left, we have to subtract the unit from the x value of the function;

Shifting by 3 units left, the new x becomes

[tex]New\ x = 0 - 3[/tex]

[tex]New\ x = -3[/tex]

When a function is shifted upward, we have to add the unit to the y value of the function;

Shifting by 1 unit up, the new y becomes

[tex]New\ y = 5 + 1[/tex]

[tex]New\ y = 6[/tex]

Hence, the new coordinates of B is

[tex]B' = (-3,6)[/tex]

Answer:

B: (-3,6)

Step-by-step explanation:

just got it right

Answer:

[tex] KS = 12 [/tex]

Step-by-step explanation:

Given that ∆KLM ~ ∆RSK, [tex] \frac{KL}{KR} = \frac{KM}{KS} [/tex] (similarity theorem)

KL = 65

KR = 65 - 52 = 13

KM = 60

KS = ?

[tex] \frac{65}{13} = \frac{60}{KS} [/tex]

Cross multiply

[tex] 65*KS = 60*13 [/tex]

[tex] 65*KS = 780 [/tex]

[tex] \frac{65*KS}{65} = \frac{780}{65} [/tex]

[tex] KS = 12 [/tex]

Answer:

Read Exp:

Step-by-step explanation:

1.) 4 is the Base and 8 is the Exponent.

2.) 9^4 = 9 x 9 x 9 x 9 = 6561.

3.) (-5)^2 = -5 x -5 = 25.

4.) 3^3 = 3 x 3 x 3 = 27.

5.) (1/2)^5 = 1/2 x 1/2 x 1/2 x 1/2 x 1/2 = 0.03125

Have to change it to a simplified fraction:

* 1/32

Answer:

The answer is "c"

Step-by-step explanation:

Answer:

2.4/3

8 Feet of yarn

This is because we're asking of one third of the original amount so we divide it by three.

Systematic

Got it right on test

The information depicted is an example of cluster sampling.

From the information given, Farmer Joe separates his apple tree farm into 10 regions and then counts the number of apples that are produced in two of the regions and uses that estimate to predict the number of apples produced on the whole farm, this illustrates cluster sampling.

Cluster sampling is when researchers divide a population into smaller groups that are called clusters and then randomly select from the population.

Read related link on:

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Answer:B = 18,  A = B + 23 = 18+23 = 41.

Step-by-step explanation:Last year . . .  

   A = 2B + 5     (1)

The number . . .  

   A = B + 23.    (2)

Equations (1) and (2) have the same left sides --- hence, their right sides are equal :

   2B + 5 = B + 23.

It implies

   2B - B = 23 - 5

    B     = 18.

ANSWER.  B = 18,  A = B + 23 = 18+23 = 41.

Answer: 22 kph

Step-by-step explanation:

distance (d) = rate (r) x time (t)

UPSTREAM: d = 5 km,   r = *x - y,  y = 2 kph,   t = 2t

DOWNSTREAM: d = 3 k,  r = *x + y,   y = 2 kph,   t = t

*x is the speed in still water and y is the current of the water.

Upstream equation:       5 = 2t(x - 2)   -->    [tex]\dfrac{5}{2(x-2)}=t[/tex]

Downstream equation:  3 = t(x + 2)     -->    [tex]\dfrac{3}{x+2}=t[/tex]

Set the equations equal to each other to solve for x:

[tex]\dfrac{5}{2(x-2)}=\dfrac{3}{x+2}\\\\\\\text{Cross multiply:}\\5(x+2)=3\cdot2(x-2)\\\\\text{Distribute:}\\5x+10=6x-12\\\\\text{Isolate x:}\\10=x-12\\22=x[/tex]

Step-by-step explanation:

Step-by-step explanation:

distance (d) = rate (r) x time (t)

UPSTREAM: d = 5 km, r = *x - y, y = 2 kph, t = 2t

DOWNSTREAM: d = 3 k, r = *x + y, y = 2 kph, t = t

*x is the speed in still water and y is the current of the water.

Upstream equation: 5 = 2t(x - 2) --> \dfrac{5}{2(x-2)}=t

2(x−2)

5

=t

Downstream equation: 3 = t(x + 2) --> \dfrac{3}{x+2}=t

x+2

3

=t

Set the equations equal to each other to solve for x:

\begin{gathered}\dfrac{5}{2(x-2)}=\dfrac{3}{x+2}\\\\\\\text{Cross multiply:}\\5(x+2)=3\cdot2(x-2)\\\\\text{Distribute:}\\5x+10=6x-12\\\\\text{Isolate x:}\\10=x-12\\22=x\end{gathered}

2(x−2)

5

=

x+2

3

Cross multiply:

5(x+2)=3⋅2(x−2)

Distribute:

5x+10=6x−12

Isolate x:

10=x−12

22=x

Answer:

The answer is

Step-by-step explanation:

Perimeter of a square = 4l

Area of a square = l²

where

l is the the length of one side

To find the area we must first find the length of the square using the perimeter

Perimeter = 128m

Substitute the value into the formula for finding the perimeter and find the length

That's

[tex]128 = 4l[/tex]

Divide both sides by 4

length = 32 m

So the area of the square is

A = 32²

We have the final answer as

Hope this helps you