Answer:
1) 180 is a straight line, so 180 - 118 = <em>62</em>
2) 180 degrees are in a triangle, so 180 - (62) - 73 = <em>45</em>
3) 180 is a straight line, so 180 - 73 = 107. There are 180 degrees in a triangle, so 180 - 49 - 45 = <em>86</em>
The slope of the line represents that the remainder of the goal decrease by 8 for each card sold.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
The line passes through the point (1, 8) and (2, 16), hence:

The equation of the line is given by y =8x
Find out more about linear equation at: brainly.com/question/14323743
Find out more on linear equation at: brainly.com/question/14323743
Answer:
4.78
Step-by-step explanation:
Answer:
The value of height of the building h = 509.2 feet
Step-by-step explanation:
From the Δ A B C

⇒ h = y
° ------- (1)
From Δ A B D

⇒ h = ( y + 300 )
° ------- (2)
Equation 1 = Equation 2
⇒ y
° = ( y + 300 )
°
⇒ 0.46 y = 0.36 y + 109.2
⇒ 0.1 y = 109.2
⇒ y = 1092 feet
Put this value of y in equation ( 1 ) we get,
⇒ h = 1092 × tan 25°
⇒ h = 509.2 feet
This is the value of height of the building.
Answer:
The answer is option (C)=an-1+7
Step-by-step explanation:
A recursive rule is a formula that in which each term is expressed as a function of its preceding term(s), meaning in order to get to the nth term you have to express it in a form of the term that comes before it. In our case the a(n-1) term
So for the sequence -9, -2, 5, 12
The nth term is any number on the sequence and
- -2 is the a(n-1) term for -9
- 5 is the a(n-1) term for -2
- 12 is the a(n-1) term for 5
So we need to find out what we have to do to the preceding term to get the next.
To get -2 from -9 we have to add 7 to -9; -9+7=-2
To get 5 from -2 we have to add 7 to -2; -2+7=5
To get 12 from 5 we add 7 to 5; 7+5=12
So the recursive rule would be= a n-1+7