The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent p-series is greater than 0. The series diverges by the Limit Comparison Test. Each term is greater than that of the divergent p-series. The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than 0.

9514 1404 393

Answer:

  59°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  ∠N +∠L = 180°

  (a +16) +(a -18) = 180

  2a = 182 . . . . . . . . . . add 2

  a = 91 . . . . . . . . . . . . divide by 2

Then the measure of angle M is ...

  ∠M = (a+30)° = (91 +30)° = 121°

and angle K is its supplement.

  ∠K = 180° -121°

  ∠K = 59°

Answer: 105m²

Formula for Area of Circle: A = π r²

so, A = 3.14 (6)² (I got 6 because radius is half the diameter)

Don't forget to divide the final area of the circle in half, because It's only a semicircle.

Formula for Triangle: A = [tex]\frac{bh}{2\\}[/tex]

so, A = [tex]\frac{6(8)}{2}[/tex] (again, the "6" is just the diameter divided in half which forms the base of ONE triangle.)

You need to multiply the final area of the triangle by 2 since there are 2 triangles.

Step-by-step explanation:

Cos Milky said it. Trust Milky. Milky smart.

Answer:

deez nù Tx. . .

Step-by-step explanation:

source:trust me bro

There are 5 numbers that can be used.

The first digit can be 1 of 5

The second digit can be 1 of 4

The third digit is 1 of 3

The fourth digit is 1 of 2

The fifth digit is 1 of 1

Total digits that can be created = 5 x 4 x 3 x 2 x1 = 120

Answer:

5206 cm^2

Step-by-step explanation:

2(31×23 + 31×35 + 23×35)

2(713 + 1085 + 805)

2(2603)

5206

Answer:

46900

Step-by-step explanation:

46900 or 46800 or 46700 or 46600

Answer:

x = 139 degrees

Step-by-step explanation:

first, find what the missing interior angle is:

add the known angles:

90 + 49 = 139

subtract the sum from 180:

180 - 139 = 41

now to solve for x, take 180 and subtract 41:

180 - 41 = 139

x = 139 degrees

Step-by-step explanation:

I just got it on a pex. JK=RS. KL=ST. K=S. those are the answers

The congruences that are true by CPCTC are:

∠L = ∠R

KL ≅ ST

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

If ΔJKL = ΔRST, then the corresponding parts of the triangles are congruent.

CPCTC stands for "corresponding parts of congruent triangles are congruent,"

So we can use this property to determine which congruences are true.

∠L = ∠R:

This is true by CPCTC because they are corresponding angles in congruent triangles.

JK ≅ RS:

This is not true by CPCTC because they are not corresponding sides in congruent triangles.

KL ≅ ST:

This is true by CPCTC because they are corresponding sides in congruent triangles.

JL ≅ RS:

This is not true by CPCTC because they are not corresponding sides in congruent triangles.

∠L = ∠S:

This is not necessarily true just by the fact that ΔJKL = ΔRST.

It could be true in some cases, but it is not guaranteed by CPCTC.

Therefore,

The congruences that are true by CPCTC are:

∠L = ∠R

KL ≅ ST

Learn more about triangles here:

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Answer:

16 cm²

Step-by-step explanation:

The dimension of rectangle = 7cm by 4 cm

The Area of the greatest square that can be cut from the rectangle :

The dimension has to be the Same to form a square :

Hence, the greatest width = 4cm

Therefore, taking the length also as 4cm

Area of square = side length²

Greatest area of square that can be cut = 4² = 16cm²

Answer: 505

Step-by-step explanation:

I searched it up

Answer:

4) 8

Step-by-step explanation:

In the formula y = mx + b, m is the slope and b is the y-intercept

m = 8

b = -1

If m = 8 and m is the slope, then the slope is 8

Answer:

59

Step-by-step explanation:

52+17-10=59

Function:

A. x times 60 = the amount of squirrels in that year

Answer

B. 6 X 60 = 360

Step-by-step explanation

Years   | Squirrels

______________

 1          |       60

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

   2      |       120

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

   3      |        180

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

  4      |        240

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

   5     |     300

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

   6    |     360

i wont give the answer but i will tell you how to solve

Opening Exercise

The original triangle, labeled A, has been reflected across the first line, resulting in the image labeled B. Reflect the image across the second line. Carlos looked at the image of the reflection across the second line and said, “That’s not the image of triangle A after two reflections; that’s the image of triangle A after a rotation!” Do you agree? Why or why not?

Discussion

When you reflect a figure across a line, the original figure and its image share a line of symmetry, which we have called the line of reflection. When you reflect a figure across a line and then reflect the image across a line that intersects the first line, your final image is a rotation of the original figure. The center of rotation is the point at which the two lines of reflection intersect. The angle of rotation is determined by connecting the center of rotation to a pair of corresponding vertices on the original figure and the final image. The figure above is a 210° rotation (or 150° clockwise rotation).

Exploratory Challenge

Line of symmetry of a figure: This is an isosceles triangle. By definition, an isosceles triangle has at least two congruent sides. A line of symmetry of the triangle can be drawn from the top vertex to the midpoint of the base, decomposing the original triangle into two congruent right triangles. This line of symmetry can be thought of as a reflection across itself that takes the isosceles triangle to itself. Every point of the triangle on one side of the line of symmetry has a corresponding point on the triangle on the other side of the line of symmetry, given by reflecting the point across the line. In particular, the line of symmetry is equidistant from all corresponding pairs of points. Another way of thinking about line symmetry is that a figure has line symmetry if there exists a line (or lines) such that the image of the figure when reflected over the line is itself.

Does every figure have a line of symmetry?

Answer: the answer is 162

Step-by-step explanation: good luck with your math test I hope you get a good grade

Answer:

A. circle

Step-by-step explanation:

Answer:

A: Circle!

Step-by-step explanation:

Edge 2022

Answer:

226 1/8

Step-by-step explanation:

Substitute the measurements of the container into the formula.

The amount of cardboard Rajek can fit in the container at one time is  cubic feet.

The total surface area of the container is 9L + 9W + 50 1/4

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

To find the total amount of cardboard that can fit in the container at one time, we need to find the surface area of the container.

The container has a rectangular base with an area of 50 1/4 square feet.

Let's assume the length of the base is L and the width is W.

We know that:

L x W = 50 1/4

We also know that the height of the container is 4(1/2) feet, which is equivalent to 9/2 feet.

The container has two identical sides, which are rectangles with a length of L and a height of 9/2 feet.

The surface area of one side is:

L x (9/2) = (9/2)L

The container also has two identical ends, which are rectangles with a width of W and a height of 9/2 feet.

The surface area of one end is:

W x (9/2) = (9/2)W

Finally, the container has a top, which is a rectangle with a length of L and a width of W.

The surface area of the top is:

L x W

To find the total surface area of the container, we add up the surface area of each of these parts:

Total surface area = 2(L x (9/2)) + 2(W x (9/2)) + (L x W)

Simplifying this expression, we get:

Total surface area = 9L + 9W + LW

We know that L x W = 50 1/4, so we can substitute this into the equation:

Thus,

The total surface area of the container is 9L + 9W + 50 1/4

Learn more about rectangles here:

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Answer:

(6x + 3) + (7x - 44) = 180

6x + 3 + 7x - 44 = 180

13x - 41 = 180

13x = 221

adjacent x = 17

Step-by-step explanation:

congratulations happy for you

Answer:

C

Step-by-step explanation:

The mean is 6

The median is 6

The mode(s) are 5 and 7

Answer:

[tex] \boxed{ \tt{x = 4}}[/tex]

Step-by-step explanation:

[tex] \frac{3}{x} = \frac{6}{8} \\ 6x = 24 \\ x = 4[/tex]

Answer:

9a²b²c²

Step-by-step explanation:

72a³b⁴c⁵ / 8ab²c³

= 9a²b²c²

Answer:

B and C

Step-by-step explanation:

Answer:

the answer is 9√3

sin60°= p/h

√3/2 = x/18

by cross multiplication we get

18√3=2x

therefore: x=9√3

Answer:

I think it's 12√3

I don't know if I'm correct

Answer:

Step-by-step explanation:

In order for a triangle to be a right triangle, it has to fit into Pythagorean's Theorem:

[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse.

We need to figure out which is the longest side in each of those triangles and that is the hypotenuse.

In the first set, the sqrt of 443 is 21.04, but that is not the longest side; 24 is. So the Theorem formula for that is:

[tex]\sqrt{443}^2+17^2=24^2[/tex] which gives us

443 + 289 = 576, but 732 does not equal 576, so that one is not right.

In the second set, the sqrt of 725 is the longest side, so that formula is:

[tex]\sqrt{725}^2=14^2+23^2[/tex] which gives us

725 = 196 + 529, and 725 does equal 725, so that one is right.

In the third set, the sqrt of 890 is the longest side, so:

[tex]\sqrt{890}^2=19^2+23^2[/tex], which gives us

890 = 361 + 529, and 890 = 890, so that is a right triangle as well. That's how you know those are right, compared to the first one that is not.

Answer:

d 16 minutes

Step-by-step explanation:

1 mile equals 8 minutes

2 miles equals 16 minutes

Answer:

Hardness.

Step-by-step explanation:

A mineral's hardness is a measure of its relative resistance to scratching, measured by scratching the mineral against another substance of known hardness on the Mohs Hardness Scale.

Answer:

hardness

Step-by-step explanation:

number 3