Let's solve your equation step-by-step.
84
=
42
+
x
3
Step 1: Simplify both sides of the equation.
84
=
42
+
x
3
84
=
42
+
1
3
x
84
=
1
3
x
+
42
Step 2: Flip the equation.
1
3
x
+
42
=
84
Step 3: Subtract 42 from both sides.
1
3
x
+
42
−
42
=
84
−
42
1
3
x
=
42
Step 4: Multiply both sides by 3.
3
*
(
1
3
x
)
=
(
3
)
*
(
42
)
x
=
126
Answer:
x
=
126
Answer:
Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.
Work out the total fine paid by Amelia. Give your answer in £
Answer:
64 times 4.
Step-by-step explanation:
I don't remember the names of the theorems at all, but we know that AD ≈ DE ≈ EB (Segment Addition). Which means <ACD ≈ <DCE ≈ <ECB (not completely sure how to prove this). Therefore, <1 ≈ <2. (Don't forget to state that <1 ≈ <ACD and <2 ≈ <ECB). With this and Angle Addition, we know that <ACE ≈ <DCB, so with SAS Congruence Theorem, we can prove ΔACE ≈ ΔBCD.
Hope that helps
