Answer:
first piece = 1.88in
second piece= 3.76in
third piece = 26.32in
32 = f + s + t
1st piece = f
2nd piece = s
3rd piece = t
what we know:
s = 2f
t = 2(7f)
32 = f + 2f + 2(7f)
32 = 3f +14f
32 = 17f
f = 1.88
now sub in:
f = 1.88
s = 3.76
t = 26.32
when you add these together you get 31.96, when you round up you get 32 which is the original piece of steel.
Answer:
x = 0, 7
Step-by-step explanation:
Step 1: Write out equation
x² - 7x = 0
Step 2: Factor out <em>x</em>
x(x - 7) = 0
Step 3: Find roots
x = 0
x - 7 = 0
x = 7
Given that ∠B ≅ ∠C.
to prove that the sides AB = AC
This can be done by the method of contradiction.
If possible let AB 
=AC
Then either AB>AC or AB<AC
Case i: If AB>AC, then by triangle axiom, Angle C > angle B.
But since angle C = angle B, we get AB cannot be greater than AC
Case ii: If AB<AC, then by triangle axiom, Angle C < angle B.
But since angle C = angle B, we get AB cannot be less than AC
Conclusion:
Since AB cannot be greater than AC nor less than AC, we have only one possibility. that is AB =AC
Hence if angle B = angle C it follows that
AB = AC, and AB ≅ AC.
Step-by-step explanation:
Sum of arithmetic terms = n/2 × [2a + (n - 1)×d], where 'a' is the first term, 'd' is the common difference between two numbers, and 'n' is the number of terms.
this is the same as n/2 × (a1 + an), because
an = a1 + (n-1)×d
so, for the series above :
a or a1 = 2
d = 7, as every new term is the previous term plus 7.
for n
37 = a1 + (n-1)×d = 2 + (n-1)×7
and now solve for n
35 = 7n - 7
42 = 7n
n = 6
so, the sum of all terms is
6/2 × (2+37) = 3×39 = 117
