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skelet666 [1.2K]
3 years ago
7

Which of the following statements about parallelograms are always true?

Mathematics
1 answer:
Nady [450]3 years ago
4 0
A. Opposite sides are parallel is correct, because if opposite sides were not parallel, it would be a trapezoid, not a parallelogram.
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Write the explicit formula for the geometric sequence. Then find the fifth term in the sequence.
Blababa [14]
Sequence: -4, 8, -16

rate of increase: -16/8 = -2
 
If you make A1 the first term in the sequence you must use (n-1) in the explicit formula. If you go backwards in the sequence to find A0 = 2 then you would use n.

The don't have A0 = 2 listed as an option so we use A1 = -4 and (n-1) terms.

An = -4(-2)^(n-1)

Solving for the 5th term A5, use n = 5

A5 = -4(-2)^(5-1)
A5 = -4(16)
A5 = -64

So the answer is B.

3 0
3 years ago
Read 2 more answers
Which equation represents a line which is parallel to the line 8y-3x=-8
marin [14]

First, we need to make the equation given to be in the form;

y=mx + b

where m is the slope and b is the intercept

8y - 3x = -8

Add 2x to both-side of the equation

8y = 3x - 8

Divide through the equation by 8

y = 3/8 x -1

comparing the above with y =mx + b

m = 3/8

slope of parallel equations are equal

From the options given the only equation with slope 3/8 is;

y= 3/8 x + 8

y=\frac{3}{8}x\text{ + 8}

The above equation of the line is parallel to 8y - 3x = -8

7 0
1 year ago
Need help finding the area of the shaded region
abruzzese [7]

Check the picture below, the assumption being that the 6ft line is perpendicular to the 18ft line and thus making a right-triangle.

now, if we just get the whole area of the containing parallelogram and then <u>get the area of the triangle and subtract it from that of the parallelogram's,</u> what's leftover is the area we didn't subtract, the shadead area.

\stackrel{ \textit{\LARGE Areas}}{\stackrel{parallelogram}{(18)(10)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(18)(6)}}\implies 180~~ - ~~54\implies 126

7 0
2 years ago
What is 27/75 in decimal form
alex41 [277]
Your answer to this is 0.36
6 0
3 years ago
I need help for this!!!
Helga [31]

Answer:

Question 1: A, C, D

Question 2: A. 3 and 5/8

Question 3: B. 13/15

Question 4: A. 2 and 1/8

Step-by-step explanation:

4 0
2 years ago
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