[tex](x+7)(x-2)[/tex]

A sector is a part of a circle bounded by two radii and an arc. So then, constructing a line that would represent all points equidistant from MN and MP implies the angle bisector of angle NMP.

The line which represents all points equidistant from MN and MP is an angle bisector of NMP. An angle bisector is a straight line that divides a given angle into two equal parts.

The steps required to construct the line are:

ii. Reflection is the process of turning a given shape or figure about a point or line. The reflection of the figure across the line (angle bisector) would not map the figure onto itself. This is because of the change in the orientation of the points N and P.

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Answer:

It would be the first one

Step-by-step explanation:

Start at 0 and the end shows 2.5

Answer:

0 and 1

Step-by-step explanation:

x² = 3

take the square root of both sides

x = {-√3, √3}

x ≈ {-1.73, 1.75}

Two consecutive integers between 1.73 and 1.75

0 and 1

Answer:

hope it helps.

stay safe healthy and happy.

Answer:

I think it is 1 4/159

Step-by-step explanation:

Answer:

42, 138, and 138 degrees DON'T FORGET THE DEGREES SIGNS!!!!!

Step-by-step explanation:

Using vertical angles theorem, we can get another 42, 180-42, and 180-42.

So we have 42, 138, and 138

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Explanation:

The exterior angle of 142 leads to an interior angle of 180-142 = 38. The adjacent interior/exterior pair of angles always add to 180. So 38+142 = 180. These two angles are supplementary, which is another way of saying they form a straight line.

Since 38 is one of the acute interior angles, the other acute interior angle is 90-38 = 52. The rule is that the acute interior angles of any right triangle always add to 90 degrees (i.e. the angles are complementary).

Lastly, the remaining interior angle is the 90 degree angle itself. All right triangles have exactly one angle that is 90 degrees. The term "right angle" is often used in place of "90 degree angle".

The solution is: the surface area of the cylinder is 301.44 km².

Here, we have,

from the given diagram, we get,

For surface area of a cylinder:

A = 2(π) × (radius) × (height) + 2(π)×(radius squared)

For the first half of that equation:

2(π) × (radius) × (height)

2 × (3.14) × (4) × (8)

= 200.96 km²

Now the second half of that equation, the area of the circle ends:

2(π)×(radius squared)

= 2 × (3.14) × (4) × (4)

= 100.48 km²

Add them up:

200.96 km² + 100.48 km² = 301.44 km²

Hence, The solution is: the surface area of the cylinder is 301.44 km².

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Answer:

Length is 35 width is 25

Step-by-step explanation:

Answer: 31.6

Step-by-step explanation:

Answer:

y=3-2x

Step-by-step explanation:

Parallel to y = 3 − 2 x => y=c-2x

Through (3,1) => 1=c-2(1) <=> c=3

Line is y=3-2x

Total area of the rectangle = 12 × 24 = 288

The non-shaded regions make up a semicircle with radius 12, so the non-shaded region has area = 1/2 × π × 12² = 72π

The area of the shaded region is then 288 - 72π.

The probability of picking a point in the shaded region is then

(288 - 72π) / 288 ≈ 0.215

Answer:

length of the opposite leg divided by the hypotenuse

Step-by-step explanation:

Answer:

25% increase in records

Step-by-step explanation:

25% = 1/4

1/4 of 12 = 3

she got 3 new records, therefore a 25% increase

Answer:

20

Step-by-step explanation:

first, find out how much money you already made:

78 x 3 = 234

then, find out how much more you need to make:

350-234=116

divide the price of candy baskets by the amount of money left y out need to make:

116/6=19.3

round becauee you can’t sell .3 of a basket

19.3 rounds to 20

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

what is the problem?

Step-by-step explanation:

Answer:

If the kite has an 11 ft line attached to it and it casts an 8 feet shadow, we will have a rectangle triangle (see picture below).

To find the height x of the kite, we can apply the Pythagorean theorem.

x² = 11² - 8²

x² = 121 - 64

x² = 57

x =√57

Step-by-step explanation:

Answer:

90−74=16∘.

Step-by-step explanation:

If x is the measure of the angle, then 90−x is the measure of the complement, both in degrees

Step-by-step explanation:

you multiplie elements in order

first you multiple 2v by 4,than 2v by -v,than -q by 4 and finally -q by -v

it will be 8v+2v^2-4q+qv

Step-by-step explanation:

the most usual firm of line equation is

y = ax + b

a is the slope of the line and is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-interception (the bake of y when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.

the slope a :

x changes by +3 (from 3 to 6)

y changes by +8 (from -1 to 7)

so, the slope is +8/+3 = 8/3

our line equation now looks like

y = (8/3)x + b

let's simply use the first point

-1 = (8/3)×3 + b

-1 = 24/3 + b = 8 + b

-9 = b

and the full line equation is

y = (8/3)x - 9

Answer:

Roopa: 10

Amita: 14

Step-by-step explanation:

5x+7x=24

12x=24

x=2

5x=10

7x=14

Answer:

Step-by-step explanation:

5/7*24

=5/7*24

=17.14 apples

Answer:

12 min

Step-by-step explanation:

Answer:

subtract 7 from each side

Step-by-step explanation:

Answer:

Subtract 7 from each side.

Step-by-step explanation:

Answer:

She can bake 72 cookies in 30 minutes

Step-by-step explanation:

24 · 3 = 72

Answer:

It is 35, 42, 49

7x5=35

7×6=42

7²=49

Answer:

[tex]8( \frac{x}{4} - 6) > 4[/tex]

[tex] \frac{8x}{4} - 48 > 4[/tex]

[tex]2x - 48 > 4[/tex]

[tex]2x > 4 + 48[/tex]

[tex]2x > 52[/tex]

[tex]x > \frac{52}{2} [/tex]

[tex]x > 26[/tex]

Answer:

q = 2

Step-by-step explanation:

Move all terms that don't contain q  to the right side and solve.

Answer:

q=2

Step-by-step explanation: