Answer:
The slope of NP is 
⇒ B
Step-by-step explanation:
- In any square, every two opposite sides are parallel and every two consecutive sides are perpendicular
- Parallel lines have the same slope
- The product of the slopes of the perpendicular lines is -1, which means if the slope of one m, then the slope of the other is
(reciprocal m and change its sign)
- The rule of the slope of the line which passes through the points (x1, y1) and (x2, y2) is m =
In square MNPR
∵ MN and NP are adjacent sides
∴ MN ⊥ NP
∵ M = (3, 8) and N = (-2, 1)
∴ x1 = 3 and y1 = 8
∴ x2 = -2 and y2 = 1
→ Use the rule of the slope above to find the slope of MN
∴ m(MN) = 
∴ m(MN) = 
∴ m(MN) = 
∵ MN ⊥ NP
∴ The product of their slopes = -1
→ Reciprocal the slope of MN and change its sign
∴ m(NP) =
∴ The slope of NP is
Answer:
42 * 10 + 42 * 5
which agrees with the third option (C) shown on the list of possible answers
Step-by-step explanation:
Notice that using distributive property we can write:
42 * 15 = 42 (10 + 5) = 42 * 10 + 42 * 5
which agrees with the third option (C) shown on the list of possible answers.
Answer:
1 7/12 cups
Step-by-step explanation:
1/2 x 3 1/6 = 1/2 x 19/6 = 19/12 or 1 7/12
The formula that should be entered in A3 is = A1 * B1
<h3>How to determine the formula?</h3>
The question implies that:
A3 = A1 times B1
In mathematics, the term "times" means *
So, we have:
A3 = A1 * B1
Remove the variable A3
= A1 * B1
Hence, the formula that should be entered in A3 is = A1 * B1
Read more about excel formulas at:
brainly.com/question/1285762
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Angles of a triangle = 180 degrees
T + C = 110 degrees, and T=C (according to the definition of an isosceles triangle).
measure of T is 110/2 which equals 55 degrees
