Polygons are similar when they have the same number of sides,
their corresponding angles are equal, and their corresponding
sides are all in the same ratio.
When that ratio is ' 1 ', they are also congruent.
That can happen sometimes, but it doesn't always have to happen.
Answer:
5/12
Step-by-step explanation:
1/4 of the cakes is 60 divided by 4 which is 15. That goes to Helen
20 go to Sue
so far, he has given away 35 cakes out of the 60
he is left with 25 cakes
that is 25/60 which can be simplified to 5/12
Kylie's first month collection, a1= $ 145
Second month collection , a2= $145+ 20
Third month collection, a3 = $145 +2*20
.
.
.
.
so for n months collection = an-1+20
We get an= 20 + an-1 and a1=145
Answer: (4, -9)
<u>Step-by-step explanation:</u>
Use elimination method. Manipulate one (or both) equations to eliminate one of the variables and solve for the remaining variable. <em>I will be eliminating y</em>
6x + y = 15 → 2(6x + y = 15) → 12x + 2y = 30
-7x - 2y = -10 → 1(-7x + 2y = -10) → <u> -7x - 2y = -10</u>
5x = 20
x = 4
Next, replace "x" with "4" into either equation and solve for y.
6(4) + y = 15
24 + y = 15
y = -9
<u>Check:</u>
Plug in x = 4 and y = -9 into the other equation to verify it makes a true statement.
-7x - 2y = -10
-7(4) - 2(-9) = -10
-28 - -18 = -10
-28 + 18 = -10
-10 = -10 