1. The values of p and q are: p=31 and q= 4
2. B(11, 29/5)
Further explanation:
<u>1. L(15. 1) is the midpoint of the straight line joining point (p. - 2) to point D(-1. q) find p and q.</u>
Given:
M = (15. 1)
(x1, y1) = (p, -2)
(x2, y2) = (-1, q)
The formula for mid-point is:

Hence,
p=31
q=4
<u>2. M is the midpoint of the straight line joining point A (3. 1/5) to point B.If m has coordinates (7. 3), find the coordinates of B.</u>
Here,
(x1,y1) = (3, 1/5)
(x2, y2) = ?
M(x,y) = (7,3)
Putting values in the formula of mid-point

So, the coordinates of point B are (11, 29/5) .
Keywords: Finding mid-point, Finding coordinates through mid-point
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Answer:
A. Kim's son
B. 9/28
Step-by-step explanation:
Give the fractions a common denominator of 28 then add.
12/28>7/28, so the son mowed more. 7/28+12/28=19/28. subtract this from 1 whole lawn and get 9/28.
Answer:
the formulae given do not make sense.
Step-by-step explanation:
Answer:
x = 29
Angle C = 93°
Step-by-step explanation:
Since all of the interior angles of a triangle add up to 180° and we are given the values of angle A and angle B, we can find angle C by subtracting A and B from 180.
35 + 52 = 87
180 - 87 = 93
Thus, the measure of angle C is 93°.
Now that we know the measure of angle C, we can determine the value of x.
Set up an equation:
3(x + 2) = 93
3x + 6 = 93
3x = 87
x = 29
Answer:
36
Step-by-step explanation:
Break it into parts to make it easier. The equation would become 16+12+8 which is 36