Answer:
We will select the final option as the correct one.
Step-by-step explanation:
A land surveyor positions two stakes 500 ft apart and identifies the midpoint between them.
From that midpoint, he is tasked with placing another stake 100 ft away, maintaining equal distance to the two original stakes.
To utilize the Perpendicular Bisector Theorem, the land surveyor must identify a line that is "perpendicular to the segment connecting the two stakes and passes through the midpoint of those stakes."
Thus, we will choose the last option as the correct answer.
Answer:
The small puzzle took 16% of the total time while the large puzzle took 84%.
Step-by-step explanation:
A. The quantity of 10-boards that Peter purchases is equal to n divided by 10. Consequently, each of the 10-boxes will receive two boxes of nails. After purchasing n boards, the formula for the number of boxes of nails Peter will have will be,
N = (2)(n/10)
When simplified,
N = n/5
b. If the total number of boards is 90, then,
N2 = (90/10)(2)(100 nails/box)
N2 = 1800
Final Answer: 1800
Answer:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
y = 2 x + 7
Step-by-step explanation:
Let x denote the smaller number and y denote the larger number.
Part 1
The equation presented indicates that four times some number added to three times a larger number equals 31.
This translates to:
From here, solving for y yields:
- 4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3
⇒ y= - 4/3x + 31/3
This indicates the correct response for this scenario:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
Part 2
The statement that seven subtracted from the larger number equals twice the smaller number translates to:
y-7= 2x
Further, solving for y yields:y-7= 2x ⇒
y= 2x+ 7
The correct answer for this equation is:
y = 2 x + 7
Answer:
174 IS THE ANSWER
Step-by-step explanation:
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