Answer:
Step-by-step explanation:
Given: ΔDFE is isosceles with base FE; FB ≅ EC.
To prove: ΔDFB ≅ ΔDEC
Proof: It is given that ΔDFE is isosceles with base FE; FB ≅ EC, thus
From ΔDFB and ΔDEC, we have
FB≅EC (Given)
DF≅DE (Definition of isosceles triangle)
∠DFE≅∠DEF⇒∠DFB≅DEC (because DF≅DE, therefore base angles are equal)
Thus, by SAS rule,
ΔDFB ≅ ΔDEC
Statements Reasons
1. FB≅EC (Given)
2. DF≅DE (Definition of isosceles triangle)
3.∠DFE≅∠DEF
⇒∠DFB≅DEC (because DF≅DE, therefore base angles are equal)
4. ΔDFB ≅ ΔDEC SAS rule
The function that represents the average manufacturing cost in terms of b is:
A(b) =
Total daily cost ( in dollars) of manufacturing scented candles is given by the function
C(b) = 250 + 3b
The number of candles manufactured = b
Therefore, average manufacturing cost
= Total cost / Total number of candles manufactured
For this reason,
A (b) = C(b) / b = =
5y - 6 = 18. Add 6 to both sides. 5y = 24. Divide by five and you end up with y = 24/5, which could also be written as 4.8.
Answer: wow have the same question please let me know when you have the answer
Step-by-step explanation:
Answer:
x = 10 and x = 2
Step-by-step explanation:
x² - 6x + 20 = 6x
x² - 12x + 20 = 0
We should have values of p and q that multiply and give the answer as 20 and if added give -12.
=> p * q = -10 * -2 = 20
=> p + q = -10 + (-2) = -12
Therefore, we can factor it now:
(x - 10) (x - 2) = 0
We can say:
x - 10 = 0, and x - 2 = 0
=> x = 0 + 10, and x = 0 + 2
=> <u>x = 10 and x = 2</u>
Hope this helps!