Angle KJL measures (7x-8)° Angle KML measures (3x +
What is the measure of are KL?
8)º
JM
20
40
48
96°

Answer:-a^2-a+12

Step-by-step explanation:

(-a+3)(a+4)

Clear brackets

-a^2-4a+3a+12

Add like terms

-a^2-a+12

Answer:

Check Explanation

Step-by-step explanation:

15 cars plus 18 cars is 33 cars

15 fish plus 18 fish is 33 fish

15 cups plus 18 cups is 33 cups

15 dollars plus 18 dollars is 33 dollars

Answer:

Lets see...

Step-by-step explanation:

Facts:

So the real question is, "If you have 6 apples and 3 people to give them to, how many apples will each person get?"

Solve:

6 ÷ 3 = 2

I hope this helps!

- sincerelynini

Answer:

The measure of angle ABC is 36° ⇒ 1st answer

Step-by-step explanation:

Let us revise some important facts in the circle

In circle D

∵ D is the center of the circle

∵ A and C lie on the circle

- DA and DC are radii

∴ ∠ADC is a central angle subtended by arc AC

∴ m∠ADC = m of arc AC

∵ m∠ADC = (7x + 2)°

∵ m of arc AC = (8x - 8)°

- Equate them to find x

∴ 8x - 8 = 7x + 2

- subtract 7x from both sides

∴ x - 8 = 2

- Add 8 to both sides

∴ x = 10

Substitute the value of x in the measure of ∠ADC

∵ m∠ADC = 7(10) + 2 = 70 + 2

∴ m∠ADC = 72°

∵ AB and BC are two chords in circle D

∴ ∠ABC is an inscribed angle subtended by arc AC

∵ ∠ADC is a central angle subtended by arc AC

- By using the 2nd fact above

∴ m∠ABC = [tex]\frac{1}{2}[/tex] m∠ADC

∴ m∠ABC = [tex]\frac{1}{2}[/tex] × 72

∴ m∠ABC = 36°

Answer:

36

Step-by-step explanation:

Answer: 1.5 common difference

Step-by-step explanation:

7 = 10.2, 12 = 17.7

d = 17.7 - 10.2/ 12 - 7

d = 7.5/ 5

d = 1.5

Answer:

3.51359276e83

Step-by-step explanation:

3.51359276e83

Answer:0.81

Step-by-step explanation:

0.391/0.48 =0.814583333...

So when rounding up to the nearest hundredth you have to stop 0.81 and because 4 is the next number after 0.81, you don't need to change the 1 at the end.

Answer:

[tex]\frac{65}{16}[/tex] or 4.0625

Step-by-step explanation:

To solve this problem, all we have to do is input the value x = 4 into the equation and solve.

f(4) = 4(4)^0 + (4x)^-1

f(4) = 4(1) + 1/4(4)

f(4) = 4 + 1/16

f(4) = [tex]\frac{64}{16}[/tex] + [tex]\frac{1}{16}[/tex]

f(4) = [tex]\frac{65}{16}[/tex]

f(4) = 4.0625

Answer:6

Step-by-step explanation: we simplify 1/16 by dividing it in half, so half of 16 is 8. And according to the question there were 3/8 washed plates. So we reverse that by multiplying the fraction by 2. 3/8•2= 6/16.

Answer:

(-5, 4)

Step-by-step explanation:

if you are moving up and down only the y part of the coordinate will change so 5 going 6 down would put you at -1 then going 5 up would put you at 4

Final answer:

Starting at (-5, 5), moving down 6 units and then up 5 units results in a final position of (-5, 4).

Explanation:

If you start at the point (-5, 5) and then move down 6 units, your vertical position decreases by 6. That means you subtract 6 from 5, the y-coordinate, resulting in -1. However, if you then move up 5 units, you're adding 5 back to your y-coordinate. So, you take -1 and add 5, which results in 4. Your final position then is still at the same x-coordinate, -5, but with a new y-coordinate of 4. Therefore, the point you end up at is (-5, 4).

Answer:

[tex]p=4\sqrt{10}units[/tex]

[tex]A=6units[/tex] [tex]square[/tex]

Step-by-step explanation:

Given,

[tex]P\left ( -6,2 \right ),A\left ( -3,3 \right ),T\left ( 0,2 \right ),H\left ( -3,1 \right )[/tex]

Distance between two points

[tex]h=\sqrt{\left ( x_{1}-x_{2} \right )^{2}+\left ( y_{1} -y_{2}\right )^{2}}[/tex]

[tex]PA=\sqrt{\left ( -6+3 \right )^{2}+\left ( 2-3 \right )^{2}}[/tex]

[tex]=\sqrt{9+1}=\sqrt{10}units[/tex]

[tex]AT=\sqrt{\left ( -3+0 \right )^{2}+\left ( 3-2 \right )^{2}}[/tex]

[tex]=\sqrt{9+1}=\sqrt{10}units[/tex]

[tex]TH=\sqrt{\left ( 0+3 \right )^{2}+\left ( 2-1 \right )^{2}}[/tex]

[tex]=\sqrt{9+1}=\sqrt{10}units[/tex]

[tex]HP=\sqrt{\left ( -3+6 \right )^{2}+\left ( 1-2 \right )^{2}}[/tex]

[tex]=\sqrt{9+1}=\sqrt{10}units[/tex]

[tex]PA=AT=TH=HP[/tex]        (i)

Length of diagonal

[tex]d_{1} =PT=\sqrt{\left ( -6+0 \right )^{2}+\left ( 2-2 \right )^{2}}[/tex]

[tex]=\sqrt{36+0}=6[/tex]

[tex]d_{2}=AH=\sqrt{\left ( -3+3 \right )^{2}+\left ( 3-1 \right )^{2}}[/tex]

[tex]=\sqrt{0+4}=2units[/tex]

Length of diagonals are not equal

[tex]d_{1} \neq d_{2}[/tex]                     (ii)

From above conditions this polygon is rhombus

Perimeter of rhombus =4×length of side

[tex]p=4\sqrt{10}units[/tex]

Area of rhombus

[tex]A=1/2\times d_{1}\times d_{2}[/tex]

[tex]a=1/2\times 6\times 2[/tex]

[tex]A=6units[/tex] [tex]square[/tex]

To answer the student's question, the identification of a polygon and its perimeter and area calculation depend on analyzing the given vertices, using the distance formula to calculate the perimeter, and appropriate area formulas related to the specific polygon identified.

The student is asking about the identification of a polygon with four given vertices and the calculation of its perimeter and area. To identify the polygon, we need to analyze the given points P(−6,2), A(−3,3), T(0,2), and H(−3,1). By plotting these points and connecting them, we could determine the shape and properties of the polygon.

Once the polygon is identified, we can calculate the perimeter by finding the distance between each pair of consecutive vertices (sides of the polygon) and summing them up. The area can be found using the appropriate formula, which is dependent on the type of polygon we identify.

Without the explicit calculations included in the student's question, it is difficult to verify the exact answer among the choices presented. However, we can guide them to use the distance formula for the perimeter and, depending on the shape, utilize formulas such as for a rhombus or parallelogram to find the area. For example, the area of a parallelogram is the base times height, and for a rhombus, it can also be calculated as half the product of its diagonals.

Answer:

1595.45 ft3

Step-by-step explanation:

The formula is (4/3) *3.14*r^3

since the diameter is 14.5, the radius is 7.25

(4/3) *3.14*(7.25^3)

Answer: 1595

Step-by-step explanation:

The volume formula uses the radius of the sphere not the diameter.

Answer:

116 2/3

Step-by-step explanation:

Turning each of them to improper fraction, we have

6 2/3 =20/3

3 1/3= 10/3

5 1/4= 21/4

Multiply them

20/3 times 10/3 times 21/4

We have 350/3

Turning it back to a mixed fraction, we have

116 2/3

Because 350/3 is 116 remainder 2.

Answer:

infinite solutions

Step-by-step explanation:

If your graph has lines that are not touching and are parallel to each other, there would be an infinite amount of solutions to this graph.  

The number of solutions should be infinite solutions

The following information should be considered:

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Answer:

OHIO1801

Step-by-step explanation:

THIS LICENCE PLATE IS ORIGINALLY FROM OHIO ( I MADE IT UP (NOT THE PLACE BUT THE LICENCE PLATE) HONESTLY)

Answer:

Option B

Step-by-step explanation:

The statement that is proven true in this question is option B or "An irrational number is a non-terminating, non-repeating decimal." A non-terminating or a non-repeating decimal is a decimal that never ends it's repeating forever and all repeating decimals are irrational numbers because the decimal cannot be expressed as a ratio with other integers so a repeating decimal is a irrational number.

Hope this helps.

The ratio 21 feet to 10 yards can be simplified and written as a fraction. By converting feet to yards, we get the ratio 7 yards to 10 yards or the fraction 7/10, which is already in its simplest form.

In order to write the ratio 21 feet to 10 yards as a fraction in simplest form, we need to first convert feet into yards. One yard is equivalent to three feet. Therefore, we can transform 21 feet to 7 yards. The ratio thus translates to 7 yards to 10 yards. Writing this ratio as a fraction, we get 7/10. Since 7 and 10 have no common factors other than 1, the fraction 7/10 is already in its simplest form.

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Answer:

3649

Step-by-step explanation:

x * 0.1 = 364.9

x = 364.9 / 0.1 = 364.9 * 10

x = 3649

Answer:

2 balls/ft²

Step-by-step explanation:

The area of the gym is:

A = (100 ft) (60 ft)

A = 6,000 ft²

The population density is:

D = 12,000 balls / 6,000 ft²

D = 2 balls/ft²

Final answer:

To calculate the population density of balls in a gym, divide the total number of balls by the gym's area in square feet. In this case, with 12,000 balls and a gym of 6,000 square feet, the population density is 2 balls per square foot.

Explanation:

The question involves calculating the population density of balls in a gym. First, we need to find the area of the gym to understand the space these balls will occupy. The gym is 100 feet long and 60 feet wide, thus its area is 100 * 60 = 6,000 square feet.

Next, we're told there are 12,000 balls available in the gym. To find the population density of the balls, the number of balls is divided by the area of the gym. So, the population density is 12,000 balls divided by 6,000 square feet, which equals 2 balls per square foot.

Answer:

x = 3

Step-by-step explanation:

x + x + x + 2 + x + 2 = 16 (combine like terms)

4x + 4 = 16 (subtract 4 from each side)

4x = 12 (divide each side by 4)

x = 3

Let's check:

(3 + 2) × 2 = 10

3 × 2 = 6

10 + 6 = 16

It works.

Answer:

length= 5 km

Width=3 km

Step-by-step explanation:

Length=Width+2

L=W+2

Perimeter = 16 km

Perimeter of the rectangular field = 2(Length+Width)

                                     [tex]16 = 2*(Width+2+Width)\\\16=2(W+2+W)\\\\16=2(2W+2)\\\\16/2=2W+2\\\\8=2W+2\\\\2W=8-2\\\\2W=6\\\\W=6/2\\\\W=3 km[/tex]

Length(L)=Width+2= 3+2=5 km

length= 5 km

Width=3 km

Answer:

b)32 cm

Step-by-step explanation:

Answer:

C) 60 cm²

Step-by-step explanation:

A= lw

A= 10(6)

A= 10 × 6

A= 60

Answer: 5/3

Step-by-step explanation: Parallel lines have the same slope.

So, a parallel slope would be 5/3

Hope this helped!

Average speed of the car is 29.85 miles/hr

Step-by-step explanation:

Speed = Distance/Time = 20.5/0.67 = 29.85 miles/hr

Answer:

x^2 - 7/3x-2

Step-by-step explanation:

x1=3, x2 =-2/3

(x-x1)(x-x2)=(x-3)(x-(-2/3))=

(x-3)(x+2/3)=x*x+x*2/3-3*x-3*2/3=

x^2 +2/3x-3x-6/3=

x^2 +2/3x-9/3x-2=

x^2 - 7/3x-2

Answer: C

Step-by-step explanation:

Answer:

Yes, it is in Standard Form.

Step-by-step explanation:

A linear function in Standard Form would look like:

Ax + By = C

where A, B, and C are real numbers.

A good way to check if a linear function is in Standard Form is by checking if the only the variables and coefficients found on one side of the equation and a real number is found by itself on the other side.

The linear function, -x + 4y = 5, has only the variables and coefficients on the left side of the function, and a real number (5) by itself on the right side.

The linear function, -x + 4y = 5, is in Standard Form.

I hope this helps. :)

Answer: a child ticket costs $14.50

Step-by-step explanation:

x=children ticket

x+4.50=adult ticket

3 children and 2 adult

3x+2(x+4.50)=81.50

3x+2x+9.00=81.50

5x+9.00=81.50

5x+9.00-9.00=81.50-9.00

5x=72.50

5x/5=72.50/5

x=14.50

Answer:

3x^2-x-4

Step-by-step explanation:

Answer:

The correct answer is D.

Step-by-step explanation: Edge 2021.

Hi there!

Assuming a perfect square: we know there are 4 sides in a square, and all of them have equal length. This means that every side of the square is 6 cm, and with 4 sides, that would make an overall length / perimeter of 6 + 6 + 6 + 6, or 6*4, which would equal 24 cm. This means that our wire must be 24 cm long.

Now, for the rectangle. We know with rectangles that they also have 4 sides, and in pairs of 2 in terms of length (2 of the sides have the same length, and the other two have the same length). This means we know there are 2 sides that are 9 cm, which would mean 18 cm in total. This is the total amount of wire taken up by the length, but we are looking for the width. Thus, we can see how much wire is leftover not taken up by the length by subtracting 18 from 24:

24-18=6

Now, we see that the two sides that make up the width are 6 cm long. As those two sides are equal length, we can divide 6 cm into two equal parts to see the width.

6/2 = 3 cm.

Thus, the width of the rectangle is 3 cm.

Hope this helps!

The wire, when bent into a square, has a total length of 24cm. When reshaped into a rectangle with a length of 9cm, the width must be 3cm to maintain the same total length.

The subject of this problem is geometry and algebra. We know that a wire is bent into the shape of a square with each side being 6cm. The total length of the wire is the perimeter of the square, which can be calculated as 4 * side length, so the total length of the wire is 4*6 = 24cm.

Then the wire is reshaped into a rectangle where the length is given as 9cm. Since the total length of the wire has not changed, the perimeter of the rectangle is also 24cm. The perimeter of a rectangle can be calculated as 2*(length + width). If we set this equal to 24, we get 2 * (9 + width) = 24. Solving for width, we find that the width is 3cm.

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[tex]\frac{3}{5}[/tex] of the fraction of the college is women

Explanation:

The college has a 2:3 ratio from men to women.

The number of men in the college is 2.

The number of women in the college is 3.

The total number of students in the college is [tex]2+3=5[/tex]

We need to determine the fraction of the college is women.

The fraction of the college can be determined by substituting the values in the formula,

[tex]\frac{\text { Number of women }}{\text { Total number of students }}$[/tex]

Substituting the values, we have,

[tex]\frac{3}{5}[/tex]

Hence, [tex]\frac{3}{5}[/tex] of the fraction of the college is women.