A) 55 degrees.
The two red slashes show that both angle x and the 55 degree angle are congruent.
Answer:
x=2 or 5/3
Step-by-step explanation:
the explanation is in the picture
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For example this for example
Answer:
shortest length of fence is 8485.2 ft
Step-by-step explanation:
Given data
area = 3,000,000 square feet
to find out
shortest length of fence
let length L and width is W
so area is L × W
W = 3 × /L ............1
2W = 6 × /L
rectangular field and then divide it in half
so fencing will be 3 × L + 2 × W
i.e. 3 L + 2W
fencing = 3 L + 6 × /L
fencing minimum = 3 L - 6 × /L²
fencing minimum length will be zero
3 L - 6 × /L² = 0
3 L² = 6 ×
L² = 2 ×
L = 1414.2
so from equation 1
W = 3 × /L
W = 3 × /1414.2
W = 2121.3
so fencing will be 3 L +2 W
so fencing = 3 × 1414.2 +2 × 2121.3
fencing = 4242.6 +4242.6
fencing = 8485.2
shortest length of fence is 8485.2 ft
100,000 + 200 + 3 = Expanded form of 100,203
Answer:
Step-by-step explanation:
3x2−2x−5=0
Let us factorize using the split the middle term method.
On inspection we observe that middle term can be split in two parts whose product is equal to the product of first and third term.
Two terms are −5xand3x
The equation becomes
3x2+3x−5x−5=0, pairing the two and taking out common factors
⇒(3x2+3x)−(5x+5)=0,
don't forget to change the sign of −5 once placed inside the parenthesis.
⇒3x(x+1)−5(x+1)=0
⇒(x+1)(3x−5)=0
Either (x+1)=0 or (3x−5)=0
We obtain x=−1,53
or x=−1,123
