is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Given:

The sequence is:

-15,-10,-4, 3, 11, ______

To find:

The next number.

Solution:

We have,

-15,-10,-4, 3, 11, ______

Here, the difference between two consecutive terms are:

[tex]-10-(-15)=-10+15[/tex]

[tex]-10-(-15)=5[/tex]

Similarly,

[tex]-4-(-10)=6[/tex]

[tex]3-(-4)=7[/tex]

[tex]11-3=8[/tex]

It is clear that the difference difference between two consecutive terms is increasing by 1. So, the next difference must be (8+1)=9.

Let the next number be x. Then,

[tex]x-11=9[/tex]

[tex]x=9+11[/tex]

[tex]x=20[/tex]

Therefore, the next number of the sequence is 20.

Answer:

24 m²

Step-by-step explanation:

Given that:

Dimension of bedroom = 6 meter by 4 meter

To obtain how much carpet Lisa would need to cover the floor of her bedroom, we calculate the area of the room.

From the dimension given, the area of the room can be obtained using the Area if a rectangle formular :

Area of room = Length * width

Area of room = 6m * 4m

Area of room = 24 m²

Carpet required is 24m² of carpet

Answer:

24m

Step-by-step explanation:

if you times 6 and 4 that equals 24 really easy problem.

The square root of 49/900 is 7/30 according to the given question, it can be done through simplification process.

To find the square root of 49/900, we can simplify the fraction first:

The square root of a number is a mathematical operation that determines a value which, when multiplied by itself, yields the original number. In simpler terms, the square root of a number "x" is the value "y" such that y multiplied by y equals x. The square root is denoted by the radical symbol (√).

49/900 = [tex](7^2)/(30^2)[/tex]

Taking the square root of the numerator and denominator separately, we get:

√ [tex](7^2) /[/tex]√([tex]30^2[/tex])

Simplifying further, we have:

7/30

Therefore, the square root of 49/900 is 7/30.

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Answer:

B

Step-by-step explanation:

Answer:

78 is the range of high temperature

Answer:

area = length x width 4x4 = 16

side lengths are 4

Step-by-step explanation:

Answer:

Factor numerator and denominator

Step-by-step explanation:

Answer:

h its h :)

Step-by-step explanation:

i

Answer:

Kathryn thinks that the 3 is the age and the 10 is how many are that age. 10 is thr age and the 3 "x's" are how many people are 10 years old.

Hope this helped!

Answer:

21.8

Step-by-step explanation:

Answer:

A rectangle is a parallelogram because parallelograms have to have exactly 2 pairs of parallel sides. A rectangle has 2 parallel sides, therefore it is considered a parallelogram.

Step-by-step explanation:

interpret it that there are three payments of 50,000 aside from the current deposit of 110,000

amount after 3 years

= 110,000(1.05)^3 + 50,000( 1.05^3 - 1)/.05

Answer: x=-2

Step-by-step explanation:

Given

f(x)=2(3x+7)-4(x-2)

f(x)=18

Use substitution method

2(3x+7)-4(x-2)=18

Expand parenthesis

6x+14-4x+8=18

Combine like terms

2x+22=18

Subtract 22 on both sides

2x+22-22=18-22

2x=-4

Divide 2 on both sides

2x/2=-4/2

x=-2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

I'm not sure what you mean by this question. Please clear it up.

Step-by-step explanation:

Answer:

they are possibly ip grabbers/will redirect you to some scam page don't click on them (obviously)

Step-by-step explanation:

Step-by-step explanation:

-5y=35

=35÷(-5)

= -7

=-5×-7

=35

Answer:

65

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sphere

1.V≈113.1m³

V=4 /3πr3=4/ 3·π·33≈113.09734m³

Sphere

2.R =6cm

Volume of sphere = 4/3πr^3

4/3πr^3=288π

r^3=288*3/4

r^3=216

r=6cm

Cone

3.V≈314.16m³

V=πr^2h/ 3=π·52·12/ 3≈314.15927m³

Cone

4. h≈2.55m

Using the formula

V=πr^2h/ 3

Solving for h

h=3V/ πr^2=3·96/ π·6^2≈2.54648m

Cylinder

5.V≈75.4m³

Solution

V=πr2h=π·22·6≈75.39822m³

Cylinder

6.h≈0.95m

Using the formula

V=πr2h

Solving for h

h=V/ πr^2=75/ π·5^2≈0.95493m

Hope this helped!!!

Answer:

PE = 102.9 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8 m/s^2)(1.5 m)

= 102.9 Joules

Answer:

x9

Step-by-step explanation:

i dunno if correct

Answer:

6

Step-by-step explanation:

Since you're given g(-3), set up the equation to look like this:

g(-3) = (x+7) + 2

Then plug in the g(x):

g(x) = (-3 + 7) + 2

Use PEMDAS to solve the equation:

g(x) = (-3 + 7) + 2

g(x) = (4) + 2

g(x) = 6

Answer:

no solution

Step-by-step explanation:

Graph each side of the equation. The solution is the x-value of the point of intersection.

Answer:

The answer is C I know that is right

Answer:

1= 1/6, 2= 1/6, 3= 4/6

Step-by-step explanation:

'1' and '2' are equal and only take up 1/6 of the "circle" each, leaving '3' with 4/6 of it.

Therefore, '1' and '2' would be placed 1/6 along the line, and '3' would be placed 4/6 along the line.

9+x≥15 is the inequality describes the problem and 6 more students should be added to the pottery class.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that a high school will only offer a pottery class next year if at least 15 students sign up.

9 students have signed up for the pottery class.

Let x represent how many more students need to sign up.

9+x≥15

9+x≥15 is the inequality describes the problem.

Subtract 9 from both sides

x=15-9

x=6

So 6 more students should be added to the pottery class.

Hence, 9+x≥15 is the inequality describes the problem and 6 more students should be added to the pottery class.

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Given:

In the circle, [tex]m(\overarc{VUX})=152^\circ[/tex] and [tex]m(\angle MUV)=77^\circ[/tex].

To find:

The following measures:

(a) [tex]m\angle VUX[/tex]

(b) [tex]m\angle UXW[/tex]

Solution:

According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.

[tex]m(VUX)=2\times m\angle VWX[/tex]

[tex]152^\circ=2\times m\angle VWX[/tex]

[tex]\dfrac{152^\circ}{2}=m\angle VWX[/tex]

[tex]76^\circ=m\angle VWX[/tex]

In a cyclic quadrilateral, the opposite angles are supplementary angles.

UVWX is a cyclic quadrilateral. So,

[tex]m\angle VUX+m\angle VWX=180^\circ[/tex]          [Opposite angles of a cyclic quadrilateral]

[tex]m\angle VUX+76^\circ=180^\circ[/tex]

[tex]m\angle VUX=180^\circ-76^\circ[/tex]

[tex]m\angle VUX=104^\circ[/tex]

Now,

[tex]m\angle UXW+m\angle UVW=180^\circ[/tex]          [Opposite angles of a cyclic quadrilateral]

[tex]m\angle UXW+77^\circ =180^\circ[/tex]

[tex]m\angle UXW=180^\circ-77^\circ[/tex]

[tex]m\angle UXW=103^\circ[/tex]

Therefore, [tex]m\angle VUX=104^\circ[/tex]  and [tex]m\angle UXW=103^\circ[/tex] .

Answer:

C

Step-by-step explanation:

Answer:

20.6

Step-by-step explanation: