2.75 cups were in the punch bowl before felicia refilled it .
<u>Step-by-step explanation:</u>
Here we have , the punch bowl at felicia's party is getting low so she adds 12 cups of punch to the bowl two guests serve themselves 1.25 cups and 2 cups and 2 cups of punch the punch bowl now contains 11.5 cups of punch . We need to find how many cups were in the punch bowl before felicia refilled it let n=number of cups bowl before felicia refilled it. Let's find out:
Initially we have , n number of cups of punch ! Than 12 additional cups were added , given below is the equation framed for the number of cups present:
⇒
Now , After this 1.25 and 2 cups were served by guests themselves and remaining cups were 11.5 i.e.
⇒
⇒
Equating both we get :
⇒
⇒
⇒
Therefore , 2.75 cups were in the punch bowl before felicia refilled it .
Answer:
h = 3 cm
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = bh ( b is the base and h the height )
Here A = 7 = ← expressed as an improper fraction
and b = 5 = , thus
× × h = , that is
h =
Multiply both sides by 8 to clear the fractions
21h = 63 ( divide both sides by 21 )
h = 3
There are 6 days remaining until May 3, 2018.
Answer:
2x^2+14x-240=0
Step-by-step explanation:
Remember Pythagoras's theorem?
a^2+b^2=c^2
So over here,
x^2+ (x+7)^2= 17^2 [ we need to now simplify (x+7)^2 --> (x+7) (x+7) ]
x^2+ x^2+7x+7x+49= 289
2x^2+ 14x+49= 289
2x^2+14x+49=0 [ we need to make the right side zero coz thats
the rule for ]
2x^2+14x-240=0
(idk, but i think the "show that x^2.....) is wrong)
Answer:
Here's what I get
Step-by-step explanation:
CPCTC is an acronym for <u>C</u>orresponding <u>P</u>arts of <u>C</u>ongruent <u>T</u>riangles are <u>C</u>ongruent.
If ΔRST ≅ ΔXYZ then
∠R = ∠X
∠S = ∠Y
∠T = ∠Z
RS = XY
ST = YZ
RT = XZ