The total would be 180 degrees because angles on a straight line would always add up to 180.
(3x+31)+(2x-6)=180
5x+25=180
-25 -25
5x=155
/5 /5
x=31
The reciprocal is just when you flip the number that you're given. the reciprocal of 7/12 is 12/7
Answer:
D
Step-by-step explanation:
The basic equation to solve this would be D = RT, which is
D is Distance
R is Rate (speed)
T is time
To find total distance D, we can find individual distances for two legs of the whole.
First Leg:
R = 8
T = a
D = 8a
Second Leg:
R = 7.5
T = b
D = 7.5b
Total distance D is:
D = 8a + 7.5b
Moreover, we know student runs 45 minutes in total hence a + b = 45 or we can say a = 45 - b, so we can replace this in the equation found:
D = 8a + 7.5b
D = 8(45 - b) + 7.5b
Answer choice D is right.
Answer:
Step-by-step explanation:
The equation of a proportional relationship: y = mx.
METHOD 1:
We know: If x and y are in a proportional relationshi, then the ratio y/x is constant
We have P(3, 2) and Q(x, 6). Therefore
<em>cross multiply</em>
<em>divide both sides by 2</em>
METHOD 2:
<em>(look at the picture)</em>
The graph of y = mx is a straight line passes through the origin.
Step 1.
Plot point P(3, 2) on the graph.
Step 2.
Draw the line passes through he origin and point P.
Step 3.
Draw the line y = 6 <em>(6 from the coordinates of Q(x, 6))</em>
Step 4.
The intersection of lines is the point Q. Read the coordinte x.
