MATHEMATICS HIGH SCHOOL

Need help solving. Prefer you show each step in solving.

Answers

Answer 1

Answer:

Answer:

AB║CD and AD║BC

Step-by-step explanation:

By the property of a parallelogram,

" Consecutive angles of a parallelogram are supplementary"

In the figure attached,

∠DCB and ∠CDA are the supplementary angles. Therefore ABCD will be a parallelogram.

[Given: m(∠DCB) + m(∠CDA) = 180°]

And the pair of opposite sides of the parallelogram ABCD will be parallel.

AD║BC and AB║CD

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Given f(x) = x - 10. What is f(-7) ?

Answers

f(x) = x-10

f(-7) = -7 -10

f(-7)= -17

I understand now !

f(x)= x - 10

f(-7) = - 7 - 10

f(-7) = - 17

Sally will take a bus to bangor the first bus leaves at 7:12am

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Need more information

Which fraction is equivalent to 7/8 ?

Answers

So from 7/8 = 35/40 , 35 is the answer

Many fraction equivalent to 7/8
7/8•2=7/4
7/8•3=21/8
7/8•4=7/2
7/8•5=35/8
7/8•6=21/4
7/8•7=49/8
7/8•8=7
7/8•9=63/8
7/8•10=35/4

Help!!! Geometric series.

Answers

Not just any geometric series, but an infinite one. The rare taming of infinity.

Since the ratio r=2/5 is strictly between -1 and 1 the infinite geometric series converges. The first term is also a=2/5 so the sum is

$S = (a)/(1-r) = (2/5)/(1 - 2/5) = \frac 2 3$

Answer: 2/3

That formula isn't too hard to derive. We have

$S = a + ar + ar^2 + ar^3 + ...$

$rS = ar + ar^2 + ar^3 + ...$

$S-rS = a$

$S = (a)/(1-r)$

tom sold half of his comic books and then bought six more. he now has 12. how many did he begin with?

Answers

b=books
Sold half of book: b/2
Bought six more: b/2+
Now has 12: b/2+6=12
Subtract 6 on both sides: b/2+6-6=12-6
b/2=6
Multiply both sides by 2: b=12
Answer= 12 books

How many vertices, faces, and edges does a cylinder have?

Answers

It has no vertices, 3 faces (the 2 circles faces and the rectangular one) and 2 edges (the 2 around the circles faces).
Hope this helps! :)

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