Answer:
<2 = 34degrees
Step-by-step explanation:
Find the diagram attached below:
First we need to get <1;
<1 + 74 = 180 (angle on a straight line)
<1 = 180 - 74
<1 = 106degrees
Also, <1 + <2 + 40 = 180 (sum of angle in a triangle)
106+<2 + 40 = 180
146 + <2 = 180
<2 = 180-146
<2 = 34degrees
Answer:
D. 119
Step-by-step explanation:
To find the common difference, we take the second term and subtract the first term
2-(-7) = 9
We check by taking the third term and subtracting the second
11-2 = 9
The common difference is 9
The formula for an arithmetic sequence is
an = a1 +d(n-1)
where a1 is the first term, d is the common difference and n is the number of the term in the sequence
a1=-7, d=9 and we are looking for the 15th term so n=15
a15 = -7 +9(15-1)
a15 = -7+9(14)
=-7 +126
= 119
Answer: Q=1/2p+15,= p=2q-30= Slope = 1.000/2.000 = 0.500
p-intercept = -30/1 = -30.00000
q-intercept = 30/2 = 15
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p-(2*q-30)=0
Solve p-2q+30 = 0
we have an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line p-2q+30 = 0 and calculate its properties
Notice that when p = 0 the value of q is 15/1 so this line "cuts" the q axis at q=15.00000
q-intercept = 30/2 = 15
When q = 0 the value of p is -30/1 Our line therefore "cuts" the p axis at p=-30.00000
p-intercept = -30/1 = -30.00000
Slope is defined as the change in q divided by the change in p. We note that for p=0, the value of q is 15.000 and for p=2.000, the value of q is 16.000. So, for a change of 2.000 in p (The change in p is sometimes referred to as "RUN") we get a change of 16.000 - 15.000 = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.000/2.000 = 0.500
Answer:13 yards
Step-by-step explanation:
There are 3 feet in one yard 39 divided by 3 is 13. So 39 feet is 13 yards
Answer:
500
Step-By-Step Explanation:
200/50 = 4
4 * 17 = 68
68 / 2 = 34
34 x 5 = 170
170 / 17 = 10
10 x 50 = 500
