Answer:
The unknown angle is 80
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
Let the unknown angle be x
20+80+x = 180
Add like terms
100+x = 180
Subtract 100 from each side
100-100+x=180-100
x = 80
Table A represent a function, and Table B does not.
Why?
Table to be a function, need to satisfy following conditions (look at the .jpeg image attached with this answer):
1. condition: In first circle, EVERY element has to be connected with SOME of the elements in second circle
2. condition: In first circle, there MUSTN'T be an element that has MORE THAN ONE connection with elements in second circle
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Table A satisfies BOTH of these conditions; that is why table A is indeed a function.
Table B satisfies FIRST condition but it does not satisfy the SECOND condition, that is why it is NOT a function.
Answer:
Each of the other side is 184 feet.
Step-by-step explanation:
Given that:
Length of two sides each = 104 feet
Total length of all sides = 576 feet
Let,
x be the length of other one side.
Length of other two sides will be 2x.
Total length of sides = 2x + 2(104)
576 = 2x + 208
2x = 576 -208
2x = 368
Dividing both sides by 2

Hence,
Each of the other side is 184 feet.
Answer:
14 gallons of a gas more will she need to travel 240 miles.
Step-by-step explanation:
Proportion states that the two fractions or ratios are equal.
Let x represents the more gallons will she need to travel 240 miles.
As per the statement:
12 gallons of gas to travel 144 miles. Six gallons in the tank.
Then;
By definition of proportion:

Multiply 240 to both sides of an equation we have;

Simplify:

Subtract 6 from both sides we get;

Therefore, 14 gallons of a gas more will she need to travel 240 miles.