Answer: ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS.
Step-by-step explanation:
Given: ΔXYZ and ΔEFG such that ∠X=∠F
To prove they are congruent by using ASA or AAS conruency criteria
we need only one angle and side.
1. ∠Z ≅ ∠G(angle) and XZ ≅ FG(side)
so we can apply ASA such that ΔXYZ ≅ ΔFEG.
2. ∠Z ≅ ∠G (angle)and ∠Y ≅ ∠E (angle), we need one side which is not present here.∴we can not apply ASA such that ΔXYZ ≅ ΔFEG.
3. XZ ≅ FG (side) and ZY ≅ GE (side), we need one angle which is not present here.∴we can not apply ASA such that ΔXYZ ≅ ΔFEG.
4. XY ≅ EF(side) and ZY ≅ FG(side), not possible.
5. ∠Z ≅ ∠G(angle) and XY ≅ FE(side),so we can apply ASA such that
ΔXYZ ≅ ΔFEG.
Answer:
4 years
Step-by-step explanation:
FYI this sounds like a personal problem
The variable is the number of blueberries, the operation is division, and the constant is 6. Write the division expression as the fraction, b/6 . To evaluate, substitute 210 in for the variable, b, and simplify. 210 divided by 6 is 35. So each bowl has 35 blueberries.
Answer:
<h3>Option 4: y = 3 – 2a</h3>
Step-by-step explanation:
Given the simultaneous equation;
ax + by = ab ......... 1
2ax + 3by = 3b .....2
Required
Express y in terms of a
Using elimination method to eliminate x variable.
eqn 1 * 2 and eqn 2 *1 will give;
2ax + 2by = 2ab
2ax + 3by = 3b
Subtract
2by - 3by = 2ab - 3b
-by = 2ab - 3b
-by = b(2a-3)
-y = 2a-3
multiply through by -1
y = -2a + 3
y = 3-2a
Hence the value of y in terms of a is y = 3-2a
