Answer:
Step-by-step explanation:
Thank your for revising and improving the image.
Assuming DF is a straight line,
Given E is the mid-point of DF
mCE = mGF
CE || GF
Then
mDE = mEF (E midpoint of DF)
Angle DEC = Angle EFG (corresponding angle, DF transversal of parallel lines CE and GF)
mCE = mGF (given)
Then triangles DCE and EGF are congruent by reason SAS (side-angle-side)
Answer:
a = 195 ; c = 615
Step-by-step explanation:
So, you want to start by forming your equations...
I will use 'c' for children and 'a' for adults for my variables
3a + 30 = c
(this is because of the info that 30 more tickets than 3 times the amount of children's were sold than adult)
then for equation 2:
3c + 5a = 2820
(this is because of the prices of the tickets and the total money raised)
Then, plug in the equation for c
Your equation should look like:
3(3a + 30) + 5a = 2820
You get:
(9a +90) + 5a = 2820
Then:
14a = 2730
So:
a = 195 adult tickets sold
Plug in a, to find c:
3 (195) + 30 = c
585 + 30 = c
c = 615 children tickets sold
Answer:
3 students got a perfect score.
Step-by-step explanation:
Total number of students in Mrs. Grape's class = 90
Number of students who earned an A = 3/10 of 90
= 
= 27 students
Out of 27 students the number of students who got perfect score
= 
= 3 students
3 students got a perfect score.
We should use lb to convert weight to kg
let unknown lb be = X
14 lb = 1 stone
X lb = 9 stone
Cross multiply : X × 1 = 9 × 14
X = 126 / 1 = 126 lb
9 stone = 126 lb
let unknown value of kg be = Y
2.2 lb = 1kg
126 lb = Y kg
Cross multiply : 2.2 × Y = 126 × 1
Y = 126 / 2.2 = 57.3 kg
So 9 stone = 126 lb = 57.3 kg
HOPE IT HELPED !!
