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4 years ago

I'm stuck on this question: Find the 3 consecutive numbers whose sum is 438. Can someone take me through it?

Mathematics

2 answers:

BartSMP [9]4 years ago

6 0

I would just put the multipules of the numbers like 4 times 3 is 12

Vinil7 [7]4 years ago

6 0

X + x+1 + x+2 = 438
3x = 438 -3
3x = 435
x = 145
So the three consecutive numbers are
145
146
147

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There is a parallelogram ABCD with diagonals AC and BD. The diagonals AC and BD intersects each other at point E. Side AB is con

grandymaker [24]

Answer:

SAS theorem

Step-by-step explanation:

Given

$\square ABCD$

$\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD$

$\angle BAC = \angle DCA$

Required

Which theorem shows △ABE ≅ △CDE.

From the question, we understand that:

AC and BD intersects at E.

This implies that:

$\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC$

and

$\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED$

So, the congruent sides and angles of △ABE and △CDE are:

$\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD$ ---- S

$\angle BAC = \angle DCA$ ---- A

$\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED$ or $\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC$ --- S

Hence, the theorem that compares both triangles is the SAS theorem

4 0

3 years ago

Exponential form of 81/625

Vesnalui [34]

Step-by-step explanation:

Hey, there!!

you number is: 81/625

We know that,

81=9×9

and

625=25×25

and............................................................

9×9 means 9^2

and 25×25 means 25^2

so, the exponential form of the question is,

= $\frac{ {9}^{2} }{ {25}^{2} }$

{we simply find exponential form by finding their fraction}

Hope it helps...

4 0

3 years ago

PLEASE HELP ASAP!!!

barxatty [35]

Answers:

24000 dollars invested at 4%
18000 dollars was invested at 7%

======================================================

Work Shown:

x = amount invested at 4%

If she invests x dollars at 4%, then the rest (42000-x) must be invested at the other rate of 7%

She earns 0.04x dollars from that first account and 0.07(42000-x) dollars from the second account

This means we have

0.04x+0.07(42000-x)

0.04x+0.07*42000-0.07x

0.04x+2940-0.07x

-0.03x+2940

This represents the total amount of money earned after 1 year.

We're told the amount earned in interest is $2220, so we can say,

-0.03x+2940 = 2220

-0.03x = 2220-2940

-0.03x = -720

x = -720/(-0.03)

x = 24000 dollars is the amount invested at 4%

42000-x = 42000-24000 = 18000 dollars was invested at 7%

----------------------

As a check, we can see that

18000+24000 = 42000

and also

0.04x = 0.04*24000 = 960 earned from the first account

0.07*18000 = 1260 earned from the second account

1260+960 = 2220 is the total interest earned from both accounts combined

This confirms our answers.

7 0

3 years ago

Amelia receives two dozens roses for her birthday. 18 of the roses are pink what percent of the roses are pink

ollegr [7]

18/24 = pink roses... 75% of the roses are pink.

4 0

3 years ago

How did I I get this wronggggggg

SIZIF [17.4K]

Answer:

mhmmm well i don't know what you got wrong but it was prob cus u didnt sum wrong or wasn't paying attention to what you were doing. Hope this helpss have a safe and joyful holiday

Step-by-step explanation:

8 0

3 years ago