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3 years ago

Consider the Parallelogram

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

5 0

Answer:

The length of HG = 11 units

Step-by-step explanation:

We know that opposite sides of a parallelogram are equal.

EF = GH

and

FG = EH

Given that

FG = 2x+5

EH = 2x+5

also

EF = 3x-10

GH = 3x-10

Given that the Perimeter of a parallelogram = 60

As the perimeter of a parallelogram is the sum of all the sides, so

FG + EH + EF + FH = 60

substituting FG = 2x+5, EH = 2x+5, EF = 3x-10, GH = 3x-10

(2x+5) + (2x+5) + (3x-10) + (3x-10) = 60

remove parenthese

2x+5 + 2x+5 + 3x-10 + 3x-10 = 60

group similar elements

2x + 2x + 3x + 3x + 5 + 5 - 10 - 10 = 60

10x - 10 = 60

10x = 60+10

10x = 70

divide both sides by 10

10x/10 = 70/10

x = 7

Therefore, the value of x = 7

Thus,

The length of HG = 3x-10 = 3(7) - 10 = 21 - 10 = 11 units

Hence,

The length of HG = 11 units

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Bob can cut through a log in two minutes. How long will it take Bob to cut a 24-foot log into 4-foot sections?

ExtremeBDS [4]

Answer:

It will take 6 minutes for Bob to cut 24-foot log into 4-foot sections

Step-by-step explanation:

First: Find out how many sections he has to make

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Third: Multiply Sections x Time taken

Fourth: Answer finished

4 0

3 years ago

Read 2 more answers

Need help asap important! thanks so much!

a_sh-v [17]

Answer:

You would have $343.37 at the end of the 2 years.

Step-by-step explanation:

Interest earned is like bonus money the bank pays you just for keeping money

$\mathrm{Compund\:Interest\:Formula}:\quad A = P { \left( 1+ \dfrac{ r }{ n } \right) }^{ nt }$

P: the starting balance of the account (also called initial deposit, or principal)

A: the new balance in the account after N years.

t: the number of years or time

r: the interest rate, (in decimal form)

n: the number of times the interest is compounded each year.

Annually = each year = 1

P =$300, r = 7%, t = 2, n = 1, A = ?

Substitute the numbers into the "Compound Interest Formula".

$A = 300 { \left( 1+ \dfrac{ 0.07 }{ 1 } \right) }^{ 1 \times 2 }$

$\mathrm{Anything\:divided\:by\:1\:gives\:itself}$

$A = 300 { \left( 1+0.07 \right) }^{ 1 \times 2 }$

$\mathrm{Add\:1\:and\:0.07\:to\:get\:1.07}$

$A = 300 \times { 1.07 }^{ 1 \times 2 }$

$\mathrm{Multiply\:1\:and\:2\:to\:get\:2}$

$A = 300 \times { 1.07 }^{ 2 }$

$\mathrm{Calculate\:1.07\:to\:the\:power\:of\:2\:and\:get\:1.1449}$

$A = 300 \times 1.1449$

$\mathrm{Multiply\:300\:and\:1.1449\:to\:get\:343.47}$

$A = 343.47$

So you would have $343.37 at the end of the 2 years.

Look at the chart

$\mathrm{Year}\quad \mathrm{Year\: Interest}\quad \mathrm{Total\:Interest}\quad \mathrm{Balance}\\\quad1\quad\quad\quad $21.00\quad\quad\quad\quad $21.00\quad\quad\quad\quad $321.00\\\quad2\quad\quad\quad $22.47\quad\quad\quad\quad $43.47\quad\quad\quad\quad $343.47$