Answer:
Look to the explanation
Step-by-step explanation:
* Lets arrange the steps for bisecting angle ABC
- The vertex of angle ABC is B, and its rays are BA and BC
# Step 1:
- Place the compass on point B, and swing an arc that intersects rays
BA and BC ⇒ 5th
# Step 2:
- Place point D on the intersection of the arc on ray BA and point E on
the intersection of the arc with ray BC ⇒ 3rd
# Step 3:
- Place the compass on point D, and draw an arc inside the angle ⇒ 6th
# Step 4:
- Keeping the compass the same distance, place the compass on
point E, and draw an arc inside the angle ⇒ 2nd
# Step 5:
- Place point F on the intersection of the arcs created from points D
and E ⇒ 4th
# Step 6:
- Draw a ray from point B through point F ⇒ 1st
* This ray is the bisector of the angle ABC
Answer:
yes to both
Step-by-step explanation:
For a relationship to be a function then each value of x must relate to exactly one unique value of y.
This is the case in this table as
2 → 76
4 → 152
6 → 228
All unique values thus a function
To determine if it is linear then the rate of change is constant for each set of ordered pairs. This is measured using the slope formula.
m = 
with (x₁, y₁ ) = (2, 76) and (x₂, y₂ ) = (4, 152 ) ← ordered pair from table
m = 
= 
= 38
Repeat with (x₁, y₁ ) = (4, 152) and (x₂, y₂ ) = (6, 228)
m = 
= = 38
Since rate of change is constant then function is linear
Answer:
A
Step-by-step explanation:
-9.75 + 3.25x
3.25(-3 + x)
-3.25(3 - x)
Answers:
first term = 37
second term = 46
third term = 55
fourth term = 64
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Explanation:
Start at 37. Add 9 to this term to get the second term. Add 9 to that result to get the next term, and so on.
first term = 37
second term = 37+9 = 46
third term = 46+9 = 55
fourth term = 55+9 = 64
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The nth term formula is
a(n) = 9n+28
It can be found by plugging a = 37 and d = 9 into the general form
a(n) = a + d*(n-1)
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Define x:
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Let the shorter piece be x.
Shorter piece = x
Longer piece = 6x
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Construct equation:
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x +6x =35
7x = 35
x =5
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Find the length:
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Shorter length = x = 5 feet
Larger length = 6x = 6(5) = 30 feet
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Answer: The shorter piece is 5 feet.
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