In the trapezoid, what is the measure of 1?

85°
115°
90°

Answer:

What do I help with?

Step-by-step explanation:

IF you put a picture we cannot see it/ At least I cannot see it.

d = kv

Substitute the 60 and 120 in.

120 = k * 60

k = 2

So, d = 2v

If v is 65, what is d?

2 * 65 = 130 miles

Final answer:

The distance Joseph travels before stopping for lunch varies directly with his speed. The equation that relates distance, d, and speed, v, is d = 2v. At a speed of 65 mph, Joseph would travel 130 miles before stopping for lunch.

Explanation:

Joseph's road trip scenario involves a direct variation between the distance traveled, d, and the speed, v, at which he travels. Since we know that he travels 120 miles at a speed of 60 mph, we can write the equation of direct variation as d = kv, where k is the constant of variation.

To find the value of k, we use the information given: d = 120 miles when v = 60 mph. So, we have 120 = k ×60.

To find k, we divide both sides by 60: k = 120 / 60 = 2. This tells us that the distance traveled varies with twice the speed. Thus, the equation relating d and v is d = 2v.

To determine how far Joseph would travel before stopping for lunch at a rate of 65 mph, we substitute v with 65 into the equation: d = 2 ×65, which calculates to d = 130 miles.

Answer:

32.692307692308%

Step-by-step explanation:

Let's go over the facts we know:

- There are 13 hearts in a deck of cards, 2 through ace

- There are 4 "2's" in a deck of cards, one for each suit

- There are 52 cards in a standard deck

The first step is to find the ratio.

Add the 13 hearts to the 4 "2's" to get the amount of cards to be drawn.

13 + 4 = 17.

Based on this, we know the ratio of hearts and "2's" to total cards is 17:52.

In other words, there is a 17 out of 52 chance that the card drawn will be a heart or a 2.

Now, we need to convert it to a percentage. To do so, divide 100 by 52. We get 1.92307692308. Now, multiply both 52 and 17 by 1.92307692308, and put the product with 17 as the numerator of the fraction and the product with 52 as the denominator. We get 32.692307692308/100. As a percent, this is written as 32.692307692308%

Therefore, the final answer is 32.692307692308%.

Answer:

tangent line : UQ

secant line: line UR

chord: US

diameter: UW

2) OD= 4.8

3)x =7 SV=6

Step-by-step explanation:

tangent line :  A tangent to a circle is a straight line which touches the circle at only one point

secant:A secant is a line that intersects a circle in exactly two points

diameter: diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle

Answer:

21

Step-by-step explanation:

5×3=15

7×3=21

Answer:

Step-by-step explanation:

a) The denominators of variable terms is 5 and 3

As both are prime, least common denominator = 5*3 = 15

b) The denominators of constant terms is 7 and 3

Least common denominator = 7*3 = 21

Answer:

Cost of each hat: $5

Cost of each mask: $3

Step-by-step explanation:

Let be "x" the cost in dollars of a party hat and "y" the cost in dollars of a mask.

Set up a System of equations using the information given in the exercise:

[tex]\left \{ {{3x+4y=27} \atop {3x+6y=33}} \right.[/tex]

You can use the Elimination Method to solve this System of equations:

1. You can multiply the first equation by -1.

2. Then you must add the equations.

3. Solve for "y".

Then:

[tex]\left \{ {{-3x-4y=-27} \atop {3x+6y=33}} \right.\\.....................\\2y=6\\\\y=\frac{6}{2}\\\\y=3[/tex]

4. Now you can substitute the value of "y" into any original equation.

5. Finally, solve for "x" in order to find its value.

Then:

 [tex]3x+4(3)=27\\\\3x=27-12\\\\x=\frac{15}{3}\\\\x=5[/tex]

Answer:

50.24

Step-by-step explanation:

Take the diameter and multiply by 3.14 so 16 times 3.14

Answer:

State that the circunference of a circle is equal to:

[tex]C=\pi d[/tex], where C is the circumference and d is the diameter

So, once d = 16 in

Therefore, [tex]C=16\pi[/tex] in

Without the graph, we can speculate that it's a distance-time graph and could show how Zeke moved at different speeds, when he stopped or got lost, and when he arrived home, based on changes in the line over time.

Without the specific characteristics of the given graph, we can speculate using a generic distance-time graph. Let's say the 'y' axis represents the

distance

(in miles) from Zeke's home, and the 'x' axis represents time. At the start, Zeke is 30 miles away from home (top of the graph). If the line on the graph descends steeply, it means Zeke is going at a faster speed. A flat line would indicate Zeke has stopped or is not moving towards home, perhaps taking a rest. Sharp downward spikes could indicate periods where Zeke raced home at high

speeds

. If the line ascends, it could mean Zeke had to backtrack or got lost. The point at which the line reaches the bottom of the 'y' axis would be when Zeke arrives home. Making sense of a graph involves understanding its axes, the initial conditions and the interpretation of the changes in the line over time.

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Step-by-step explanation:

Given

x = -2

Now

y = 3x - 2

= 3 * (-2 )-2

= -6 - 2

= -8

Answer:

Ans- A

Step-by-step explanation:

When you have a quadratic like this, f(x) = [tex]x^{2}[/tex] + x - 12,

factorize it first.

Then you'll get f(x)= (x-3)*(x+4)

Finally, you set:

0= (x-3)*(x+4)

Just use the null factor law, and there you go.

x= 3 or x=-4

Have a nice day :)

The zeros of the given quadratic equation is equivalent to 3 and -4. Option A

Given the quadratic equation below:

f(x) = x² + x - 12

Factorising the expression, we will have:

f(x) = x² + 4x - 3x - 12

Factor

f(x) = (x² + 4x) - (3x  + 12)

f(x) = x(x+4) - 3(x + 4)

f(x) = (x - 3)(x+4)

If f(x) = 0

(x - 3)(x+4) = 0

x = 3 and -4

Hence  the zeros of f(x) = x^2 + x - 12 are 3 and -4.

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Answer:

The CORRECT answer to this question is a scatterplot.

You're welcome:)

A scatter plot is the best choice of data display for Timothy to find a relationship between the ages of students and their shoe sizes. It shows a possible relationship between two variables, unlike histograms, box plots, and dot plots that display distribution or frequency of a single variable.

For Timothy to find if there is a relationship between the ages of students and their shoe sizes, the best choice of data display is a scatter plot. A scatter plot is a type of plot that is used to display values for typically two variables for a set of data. On a scatter plot, both horizontal and vertical axes are value axes that plot numeric data. Thus, it's most suitable for showing a possible relationship between two variables, such as ages and shoe sizes in this case. Other display methods, such as histograms, box plots, and dot plots, are more suitable for displaying distribution or frequency of a single variable rather than a relationship between two variables.

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Answer:

n

Step-by-step explanation:

While you did not specify the equation, there are n roots for an equation of n power.

i.e. anything that x, power is 1, only one root

For [tex]x^{2}[/tex], there are two roots

For [tex]x^{n}[/tex], there are n roots

Answer:

r=67.2

Step-by-step explanation:

Answer:

r = 67.2

Step-by-step explanation:

8.25r = 554.4

divide 8.25 from both sides

r = 554.4/8.25 = 67.2

r = 67.2

Answer:

7/12

Step-by-step explanation:

1/4 +1/3

We need to get a common denominator of 12

1/4*3/3 = 3/12

1/3 *4/4 = 4/12

3/12+4/12 = 7/12

Answer:

The answer is 7/12.

Explanation:

1/3 = 4/12

1/4 = 3/12

4 + 3 = 7

Answer:

it is 79.4 ft.

Step-by-step explanation:

u just have to round until it gets to one decimal

Answer:

36

Step-by-step explanation:

Frequency of less than 4:

6 + 4 + 8 = 18

Probability:

18/50 × 100 = 36%

Answer:

Scalene Triangle

Step-by-step explanation:

If you mark the points on the graph, all three sides have different lengths and angles, therefor it is a scalene triangle.

It cannot be a right triangke bc there is no right angle, and no obtuse either so that crosses out obtuse as an option as well. In order to be an isoceles triangle it must have two sides of equal length, but it does not.

Answer:

A

Step-by-step explanation:

4x4 = 16

Answer:

A

Step-by-step explanation:

Answer:

The slope of the line on this graph is 1/2.

Step-by-step explanation:

From (-4, 0), go up 2 units to (-4, 2), then go right 4 units to (0, 2). So the slope of this line is 2/4 = 1/2.

Answer:

D

Step-by-step explanation:

The area of the segment is 81/4π square units.

To find the area of the segment, we need to use the formula for the area of a segment of a circle.

The area of a segment is given by the formula:

A = (θ/360) * π * r^2

where θ is the central angle in degrees, π is approximately 3.14159, and r is the radius of the circle.

Given that the central angle θ is 90° and the radius r is 9, we can plug these values into the formula:

A = (90/360) * π * 9^2

A = (1/4) * π * 81

A = (1/4) * 81π

A = 81/4 * π

So, the area of the segment is 81/4π square units.

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Answer:

-38

Step-by-step explanation:

Answer:

1/2 base times height

Answer:the answer is D. because if you do 57.75 divided by 5.5 you get 10.5 mi/h

Step-by-step explanation:

Answer:

8 acres of land they did not plant the corn.

Step-by-step explanation:

GIven:

There are 25 acres of land on a farm.

The owners planted corn on 68 percent of the land.

Now, to find the acres they did not plant the corn.

Total acres of land on the farm = 25 acres.

Rate of land owners planted the corn = 68%.

Now, to get the acres of land owners planted the corn:

[tex]68\%\ of\ 25\\\\=\frac{68}{100} \times 25\\\\=0.68\times 25\\\\=17\ acres.[/tex]

Thus, 3.4 acres of land owners planted the corn.

Now, to get the acres land owners did not planted the corn we subtract the acres of land owners planted the corn from the total acres of land:

[tex]25\ acres-17\ acres\\\\=8\ acres.[/tex]

Therefore, 8 acres of land they did not plant the corn.

Answer:

  11/10

Step-by-step explanation:

Your calculator will tell you that √58 ≈ 7.62 and √42 ≈ 6.48. The difference of these numbers is ...

  7.62 -6.48 = 1.14 ≈ 1.1

The difference is about 11 tenths.

_____

You should be able to count the divisions on the number line to arrive at this conclusion.

⇒ 1.2  is your answer.

Answer:

The answer you should get is 9:3

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

I just did it and got it right.

System #1

2x + 3y = 12   and  4x + 3y = 18

I'd use elimination on this one; we subtract equations and the 3y disappears,

2x = 6

x = 3

3y = 18-4x = 18 - 4(3) = 18 = 12 = 6

y = 2

System #2

y = 2x +1  and  y =-3x -2

Here I'd use elimination; we have two things equal to y, we eliminate y by setting the right sides equal to each other,

2x + 1 = -3x - 2

5x = -3

x = -3/5

y = 2x+1 = -1/5

check y=-3x -2 = 9/5 - 10/5 = -1/5, good

System #3

x = 2y + 5  and x + 3y = 25

Here I'd use substitution.   The first equation is for x in terms of y; if we substitute it into the second equation we'll just have an equation in y.

(2y + 5) +3y = 25

5y + 5 =25

5y = 20

y = 4

x = 2y+5 = 13

Answer:

The length of the ladder is 5 feet

Step-by-step explanation:

Please kindly check the attached file for explanaion

The ladder is 5 feet long.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles

Given,

Let x = height ladder reaches on wall

Let x+1 = length of the ladder

the three pieces of this form a right triangle

so (x+1)² = x² + 3²

x² +2x + 1 = x² +9

2x = 8

Divide both sides by 2

x=4

so the ladder reaches 4 feet on the wall

x+1 = 5

The ladder is 5 feet long

Hence, the ladder is 5 feet long.

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Answer:

1/12 of the original

Step-by-step explanation:

If you split 1/4 into 3 equal pieces, then each friend gets 1/12 of the original cake