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algol [13]
3 years ago
14

Find the Least Common Denominator. Then, express each fraction using the Least Common Denominator.

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0

Answer:

C

Step-by-step explanation:

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Points P, Q and R are collinear such that PQ : QR=2:3 point P is located at (1,3) and point R is located at (11,15)
balandron [24]

Using line segments, it is found that:

  • The coordinates of Q are (5,7.8).
  • The midpoint of segment PQ is M(6,9).

----------------------------

  • Point P is located at (1,3).
  • Point R is located at (11,15).
  • Point Q is located at (x,y).
  • PQ:QR = 2:3, which means that:

Q - P = \frac{2}{5}(R - P)

This is used to find the x and y coordinates of Q.

----------------------------

  • The <em>x-coordinate</em> of P is 1.
  • The <em>x-coordinate</em> of R is 11.
  • The <em>x-coordinate </em>of Q is x.

Thus:

Q - P = \frac{2}{5}(R - P)

x - 1 = \frac{2}{5}(11 - 1)

x - 1 = \frac{2}{5}10

x - 1 = 4

x = 5

----------------------------

  • The y<em>-coordinate</em> of P is 3.
  • The y<em>-coordinate</em> of R is 15.
  • The y<em>-coordinate </em>of Q is y.

Thus:

Q - P = \frac{2}{5}(R - P)

y - 3 = \frac{2}{5}(15 - 3)

y - 3 = \frac{24}{5}

y - 3 = 4.8

y = 7.8

The coordinates of Q are (5,7.8).

----------------------------

  • The midpoint of segment PQ is the mean of the coordinates, thus:

M = (\frac{1 + 11}{2}, \frac{3 + 15}{2}) = (\frac{12}{2}, \frac{18}{2}) = (6,9)

The midpoint of segment PQ is M(6,9).

A similar problem is given at brainly.com/question/24148182

4 0
3 years ago
Why does the LL theorem hold for proving right triangles congruent?
Rufina [12.5K]
B.) The right angle is included between the legs.
5 0
3 years ago
Read 2 more answers
8
N76 [4]

Answer:

4:1

Step-by-step explanation:

When converting between ratios and fractions, the denominator of the fraction is always the sum of all the numbers in a ratio. So you can eliminate the first (4:9) and last (4:5) answers because 4+9 and 4+5 do not add up to 5.

That leaves you with the middle two answers. Honestly, it could also be 1:4 but since the question talks about Josh receiving the money, the ratio would be 4 parts for him and 1 for Lucy, so 4:1 is probably the correct option

7 0
3 years ago
Consider functions f and g. f(x)=3 x+1What is the value of f(g(1))
prohojiy [21]

Step-by-step explanation:

f(1)=(3×1)+1=4

so f(g(1)=4

7 0
3 years ago
Circle P is shown. Tangents X Y and Z Y intersect at point Y outside of the circle to form an angle with measure 72 degrees. The
exis [7]

Answer:

108

Step-by-step explanation:

6 0
4 years ago
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