Which of the following represents a pyramidal number sequence?
Which of the following represents a pyramidal number sequence? - 1

Answers

Answer 1
Answer:

Answer: the answer is C


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PLEASE HELP! In quadrilateral MNOP, ∠M ≅ ∠N. Quadrilateral MNOP could be a:I. trapezoid II. rhombus III. parallelogramA) III onlyB) II or IIIC) I, II, or IIID) I or II
Nth term for this sequence 45,40,35,30
4x²+8x=1 by completing the square
Please look at this multiple choice. thanks!!!!

My question is, what is:  log6(4x-8)=3

Answers

log_6(4x-8)=3\ (*)\n\nD:4x-8 > 0\to4x > 8\to x > 2\to x\in(2;\ \infty)\n\n(*)\ 4x-8=6^3\n\n4x=216+8\n\n4x=224\ \ \ \ /:4\n\nx=56\in D
4x-8=6^3
4x-8=216
4x=224
x=56

Find the measure of the exterior angle.

Answers

Answer:

1) 128°

2) 126°

3) 108°

Question one:

   The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.  

38 + 90 + (180-x) = 180

38 + 90 + 180 - x = 180

38 + 90 + 180 - 180 - x = 0

38 + 90 + 180 - 180 = x

128 = x

Question two:

again, adding all the interior angles makes 180°. use this to make the equation.

3x + (5x-6) + 90 = 180

3x + 5x - 6 = 90

8x = 96

x = 12.

   x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,

180 - (5x-6) = the answer

180 - 5x + 6 = the answer

substitute x for 12

180 - 60 + 6 = the answer

126 = x

Question three

again, adding all the interior angles together makes 180°.

(a + 10) + 44 + (180-2a) = 180

a + 10 + 44 + 180 - 2a = 180

-a + 234 = 180

234 - 180 = a

54 = a

however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.

x = 108

Can a linear equation and a linear inequality be solved in the same way? Explain why. What makes them different?

Answers

There are some extra mathematical rules on an inequality, for example, when you multiply or divide both sides by a negative number the direction of the inequality must be switched. > to < or < to >, etc. Another difference is that in a linear equation you get a number as the result, in an inequality, you get an interval of numbers.

PLEASE HELP ASAP!!!!Hugo is writing a coordinate proof to show that the midpoints of a quadrilateral are the vertices of a parallelogram. He starts by assigning coordinates to the vertices of quadrilateral RSTV and labeling the midpoints of the sides of the quadrilateral as A, B, C, and D. Quadrilateral R S T V in a coordinate plane with vertex R at 0 comma 0, vertex S in the first quadrant at 2 a comma 2b, vertex T also in the first quadrant at 2 c comma 2 d, and vertex V on the positive side of the x-axis at 2 c comma 0. Point A is between points R and S, point B is between points S and T, point C is between points T and V, and point D is between points R and V. Enter the answers, in simplified form, in the boxes to complete the proof. The coordinates of point A are ( , ). The coordinates of point B are ( , ). The coordinates of point C are (2c, d) . The coordinates of point D are (c, 0) . The slope of both AB¯¯¯¯¯ and DC¯¯¯¯¯ is . The slope of both AD¯¯¯¯¯ and BC¯¯¯¯¯ is −bc−a . Because both pairs of opposite sides are parallel, quadrilateral ABCD is a parallelogram.

Answers

Answer:

Step-by-step explanation:

R(0,0)

A=((0+2a)/2,(0+2b)/2)=(a,b)

S(2a,2b)

B=((2a+2c)/2,(2b+2d)/2)=(a+c,b+d)

T(2c,2d)

C=((2c+2c)/2,(2d+0)/2)=(2c,d)

V(2c,0)

D=((2c+0)/2,(0+0)/2)=(c,0)

R(0,0)

slope of AB=(b+d-b)/(a+c-a)=d/c

slope of DC=(d-0)/(2c-c)=d/c

slope of AD=(0-b)/(c-a)=-b/(c-a)

slope of BC=(d-b-d)/(2c-a-c)=-b/(c-a)

A recipe for a vegetable dish contains a total of 924 calories the dish to serve six people how many calories are in each serving

Answers

Answer:

The amount of calories in each servings is 154 calories.

Step-by-step explanation:

A recipe for a vegetable dish contains a total of 924 calories.

This can serve six people.

So, dividing the total amount of calories by the total number of people will yield the amount of calories in each servings.

Hence, amount of calories present in each serving is,

=(924)/(6)

=154\text{ calories}

Therefore, the amount of calories in each servings is 154 calories.


924 divided by 6= 154 per serving 

Hope this helps!

Two points are shown on the graph. What is the midpoint between these two points?A) (1, 5)
B) (-1, 2)
C) (-2, 1)
D) (-5, -3)

Answers

Answer: C (-2,1)

Step-by-step explanation:

Can you show the graph please