1: establish the angles, basically label one x (the small one) and the other y (the bigger one)
2. supplementary angles add up to 180, so therefore you have the equation x + y = 180.
3. so y (the bigger one) is 8 less than 3 times the smaller one (x) therefore you come up with the equation y = 3x - 8
4. plug in the equation of the bigger one into the other equation
x + 3x - 8 = 180
(combine like terms)
4x - 8 = 180
5. solve the equation by adding 8 to 180, then by dividing by 4.
x should equal 47
6. plug in 47 into the x + y = 180 equation, subtract 47 from 180 and you end up with 133
i hope i explained it alright
Answer:
I think Roland is correct in his statement.
Step-by-step explanation:
Roland says the number of cups of iced tea t depends on the number of tea bags b and he says the equation represents the relationship between the number of tea bags b and the cups of iced tea
.
I think Roland is correct in his statement and this is because here t is a function of b i.e. t = f(b) and hence, the number of cups of iced tea t depends on the number of tea bags b. (Answer)
Answer:
See below
Step-by-step explanation:
Grade is slope = rise / run
a) horizontal distance 1400 ft (run) vertical distance = 40 ft (rise)
40 / 1400 = 2.85%
b) rise / run = 805.58 / 13780 = 5.84%
Answer:
...
Step-by-step explanation:
Complete Question
Consider the isosceles triangle. left side (2z+8)units, bottom of triangle (4z-10)units, right side of triangle (2z+8) units Part A Which expression represents the perimeter of the triangle? a.(4z+16) units b.(6z−2)units c.(8z−16) units d.(8z+6) units
Answer:
d. (8z + 6) units
Step-by-step explanation:
The formula for the Perimeter of a Triangle is :Side A + Side B + Side C
Hence,
(2z + 8)units + (4z - 10) units + (2z + 8)units
= (2z + 8 + 4z - 10 + 2z + 8)units
Collect like terms
= 2z + 4z + 2z + 8 - 10 + 8
= 8z + 6 units
The expression that represents the perimeter of the triangle is (8z +6) units