If y varies directly with x, then the ratio y/x will always be the same. Set it equal to the known values and solve for y.
y/x = -12/6
Cross multiply
6y = -12x
y = -2x
Answer:
Part a)
The quantity of fruit pies sold was
The quantity of juice bottles sold was
Part b) Mr. Kelly’s class earned more money
part c)
Step-by-step explanation:
Part a)
Let
x-----> quantity of fruit pies sold
y----> quantity of juice bottles sold
we know that
-----> equation A
----> equation B
substitute equation A in equation B
bottles of fruit juice
Find the value of x
------> fruit pies
Part b) Which class earned more money?
Mr. Sanchez’s class
Mr. Kelly’s class
therefore
Mr. Kelly’s class earned more money
Part c) How much more money did that class earn?
Find the difference
Answer:
x = 52
Step-by-step explanation:
∡RQS = 180 - (90 + 34)
∡RQS = 56°
∡PQS + ∡RQS = 180°
∡PQS = x + 72
x + 72 + 56 = 180
x + 128 = 180
x = 52
1. S is a straight line that cuts through f and t
2. Given
3. ∠5 ≅ ∠7
4. ∠7 ≅ ∠3 Corresponding angles
Solution:
Step 1: Given
S is a straight line that cuts through f and t
Step 2: Given
∠3 ≅ ∠5
Alternate interior angles are equal.
Step 3: By Vertical angle theorem
Vertically opposite angles are congruent.
∠5 ≅ ∠7
Step 4: Corresponding angles
∠7 and ∠3 are corresponding angles.
∠7 ≅ ∠3
Step 5: Corresponding angles theorem
f || t
Hence proved.