Since this is an isosceles triangle (indicated by the two tick marks on the sides), we know that the base angles are congruent, and we therefore know that x = 30 degrees.
Since interior angles of a triangle always add to equal 180 degrees, we can find y using the following equation:
180 = 30 + 30 + y
180 = 60 + y
120 = y
We can further deduce that z also equals 24, since, as stated before, the two sides with the tick marks are congruent.
Answer:
x = 30 degrees
y = 120 degrees
z = 24
Answer:
<u>The equation is:</u>
<u>We have two points:</u>
A)
<u>Find the slope using these two points:</u>
- m = (99 - 68)/(620 - 310) = 31/310 = 0.1
<u>Use one of the points to find the y-intercept b:</u>
- 68 = 0.1*310 + b
- 68 = 31 + b
- b = 68 - 31
- b = 37
<u>The equation is:</u>
B)
<u>Find the value of y when x = 980:</u>
- y = 0.1*980 + 37
- y = 98 + 37
- y = 135
The total cost is $135
What are the possible answers ?
Answer:
y = -2
Step-by-step explanation:
Answer:
a = 3, b = -1, c = 2
Step-by-step explanation:
an^2 + bn + c
n = 1:
a + b + c = 4 Eq. 1
n = 2:
4a + 2b + c = 12 Eq. 2
n = 3:
9a + 3b + c = 26 Eq. 3
Eq. 2 minus Eq. 1
3a + b = 8 Eq. 4
Eq. 3 minus Eq. 2
5a + b = 14 Eq. 5
Eq. 5 minus Eq. 4
2a = 6
a = 3
Plug in a = 3 into Eq. 4
3(3) + b = 8
b = -1
Plug in a = 3 and b = -1 into Eq. 1.
3 - 1 + c = 4
c = 2
Answer: a = 3, b = -1, c = 2