What is the 18th term of the arithmetic
sequence 2,-2.-6.-10....?
F-72
H -68
WG -70
J -66

Answer:

∠ BCA = 45°, ∠ AWD = 90°

Step-by-step explanation:

All angles are right angles by definition.

Diagonals bisect the angles , so

∠ BCA = 45°

Diagonals are perpendicular bisectors of each other, so

∠ AWD = 90°

Answer:

Step-by-step explanation:

take 109 degree as reference angle

using sin rule

sin 109=opposite/hypotenuse

0.94=c/36

c=0.94*36

c=33.84

c=33.8

Answer:

Remember that:

[tex]\frac{a/b}{c/d} = \frac{a}{b}*\frac{d}{c}[/tex]

A) We know that:

Each dog gets (2/3) of a cup of food.

Elena used 3 + 1/3 cups of dog food, then, how many dogs there are?

The number of dogs is equal to the quotient between the total amount of food used and the food that a single dog needs, this is:

[tex]N = \frac{3 + 1/3}{2/3}[/tex]

We can rewrite the numerator as:

3 + 1/3 = 3*(3/3) + 1/3 = 9/3 + 1/3 = 10/3

Replacing that in the above equation, we get:

[tex]N = \frac{10/3}{2/3} = \frac{10}{3} *\frac{3}{2} = 10/2 = 5[/tex]

There are 5 dogs.

B)

We know that:

5 + 1/8 cups of water, can fill four bottles.

Then, how many cups we need for each bottle?

Assuming that each bottle holds the same amount of water, then each bottle will hold a fourth of (5 + 1/8) cups of water.

This is the quotient between (5 + 1/8) cups of water and 4.

[tex]K = \frac{5 + 1/8}{4}[/tex]

We can rewrite the numerator as:

5 + 1/8 = 5*(8/8) + 1/8 = 40/8 + 1/8 = 41/8

Replacing that we get:

[tex]K = \frac{41/8}{4} = \frac{41}{8} *\frac{1}{4} = 41/32[/tex]

We can rewrite this as a mixed number in the next way:

[tex]K = \frac{41}{32} = \frac{32 + 9}{32} = \frac{32}{32} + \frac{9}{32} = 1+ 9/32[/tex]

So with 1 and 9/32 cups of water we can fill one of the bottles.

Answer:

2

Step-by-step explanation:

Answer:

82°

Step-by-step explanation:

That is the correct answer to put it simply

The measure of x from the quadrilateral inscribed inside the circle is given by x = 82°

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the circle be represented as P

Now , the quadrilateral inscribed inside the circle be ABCD

where the measure of m∠A = 98°

The measure of m∠B = 90°

Now , the opposite angles of a quadrilateral inscribed inside a circle are supplementary

So , measure of ∠A + measure of ∠C = 180°

On simplifying , we get

98° + x° = 180°

Subtracting 98° on both sides , we get

x = 180° - 98°

x = 82°

Therefore , the measure of x is 82°

Hence , the value of x of the quadrilateral inside circle is 82°

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Answer:

75

Step-by-step explanation:

since rectangle A with 12 moves to 60 meaning it was multiply by 5 so therefore we multiply the 15 by 5 giving 75

Answer:

They are both even numbers and they both go into eachother at least once

Step-by-step explanation:

Answer:

45degrees

Step-by-step explanation:

Find the diagram attached

From the diagram m<L = m<O

GIven

m<L = 2x+20

m<O = 110degres

Equate

2x+20 = 110

2x = 110 - 20

2x = 90

x = 90/2

x = 45degrees

Hence the value of x is 45degrees

Answer:

Step-by-step explanation:

New Note 2

Given coordinates:

B(1,2)

E(-5,3)

A(-6,3)

Part A, isosceles triangle

Need to find lengths of sides

BE^2 = ((-5-1)^2+(3-2)^2) = 36+1 = 37

BA^2 = ((-6-1)^2+(-3-2)^2) = 49+25 = 74

EA^2 = ((-6-(-5))^2+(-3-3)^2) = 1+ 36 = 37

Since BE^2 = EA^2, BE=EA, or triangle BEA is isosceles, with vertex at E.

Part B, find point R so that BEAR is a sqare

Need to show that the vertex angle, BEA is a right angle.

BA is diagonal and E is 90° if

BE^2 + EA^2 = BA^2

or

37+37 = 74

Hence angle BEA is right anglesd, and the two legs are eaual with length sqrt(37)

To find point R, we find the translation from point E to point B, i.e. from the vertex to end of one of the legs.

EB = B - E = (1-(-5))-(2-3) = <6,-1>

To find point R, apply this translation to the end of the other leg, i.e. point A,

R=A(-6,-3) + <6,-1>=R(0,-4)

Check:

RE (diagonal)^2 = ((0-(-5))^2+(-4-3)^2)  = 25+49 = 74 checks

RB^2 = ((0-1))^2+(-4-2)^2)  = 1+36 = 37 checks

RA^2 = ((0--(-6))^2+(-4-(-3))^2)  = 36+1 = 37 checks

Answer:

10

Step-by-step explanation:

braniyest pls

Answer:

45°, 110° & 25°

Step-by-step explanation:

We know,

x + 25° + x +65° = 180° (∵Sum of all interior angles of a triangle is 180)

or, 2x + 90 = 180°

or, 2x = 90°

∴ x = 45°

Now,

∡A = x° = 45°

∡B = x +65° = 45° + 65° = 110°

Answer:

The paperclip measures 7.5 centimeters.

Step-by-step explanation:

Answer:

A is your  answer

Step-by-step explanation:

The answer that is BEST supported by the data in the chart is A. When viewing the data for rolling a six, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

This refers to the likelihood of an event to occur when different independent and dependent variables are factored in.

Hence, from the given chart, we can see that it shows the results of Shelly after she rolls a six-sided number cube and the best answer that supports the data on the chart is that as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

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Answer:

Mia has 180 counters

Step-by-step explanation:

if Suzy has 20 counters and Mia has nine times as many as Suzy, we can multiply 20 by 9 (20×9) and get 180

Answer:

x ≤ 24

Step-by-step explanation:

x/4 ≤ 6

Multiply each side by 4

x/4 *4 ≤ 6*4

x ≤ 24

Answer:

[tex]x\leq 24[/tex]

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

19) No, 3 should multiply both x and 2. As they, (x+2) are both inside the parentheses. The correct answer should be 3x + 6.

20) No, when it comes to exponents and multiply, exponents is done first before multiply. Therefore, Brett should square 3 first before multiplying it by 2. the correct steps should be

2 * 3^2 + 5

= 2* 9 + 5

=18 + 5

=23

Answer:

C) 150

Step-by-step explanation:

Answer:

Anxeity (Option 4)

Step-by-step explanation:

They would most likley be anxious and nervous about what they scored on their test while waiting for the results

Answer:

I think its C

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Value of x = 7.5 unit

Length of side = 12.5 unit

Step-by-step explanation:

Given that both triangles are similar because all angles are equal;

So, the ratio of similar lines is in the same proportion.

[x + 5] / 5 = 10 / 4

4[x + 5] = 50

4x + 20 = 50

4x = 50 - 20

4x = 30

x = 30 / 4

x = 7.5

So,

Value of x = 7.5 unit

Length of side = x + 5

Length of side = 7.5 + 5

Length of side = 12.5 unit

Answer:

(3,0) and (7,8)

Step-by-step explanation:

I assume you are looking for the points at which the parabola and line cross. In that case, this is rather simple. You can look at it and see where on the graph the points are.

Answer:

2,033-993.50= 1039.50/74.25= 14

Step-by-step explanation:

not sure the exact equation but p would be 14 and you'd do something similar to that shown above

Answer:

-23m-18m^4

Step-by-step explanation:

-10m+2m^4-13m-20m^4

(-10m+-13m)+(2m^4-20m^4)

-23m+-18m^4

-23m-18m^4

If this helps please mark as brainliest

Answer:

B

Step-by-step explanation:

[tex]Circumference=2\pi r=28\pi \\2r=28\\r=14\\Area= \pi r^2=\pi 14^2=3.14*14^2=615.44[/tex]