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Vikentia [17]
1 year ago
6

In the equation below, a and b are constants. If a = b, what is the value of x in terms of y ? 2xa=8yb Select one:

Mathematics
1 answer:
Bas_tet [7]1 year ago
7 0

Answer: x=4y

Step-by-step explanation:

The equation is 2xa=8yb.

To find the value of the variable "x" in terms of "y", you need to apply the Division property of equality and divide both sides of the equation by "2a". Then:

\frac{2ax}{2a}=\frac{8yb}{2a}

x=\frac{8yb}{2a}

You know that the costants "a" and "b" are equal (a=b), then:

 \frac{b}{a}=1

Knowingt this, you can simplify.

Therefore, you get that the value of "x" in terms of "y" is:

x=4y

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Triangle MRN is created when an equilateral triangle is folded in half. Triangle N R M is shown. Angle N R M is a right angle. A
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The value of x is 4.

Step-by-step explanation:

It is given that triangle MRN is created when an equilateral triangle is folded in half.

It means original equilateral is triangle MNO and NR is a perpendicular bisector (<em>A line which cuts a line segment into two equal parts at 90°</em>).

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8 0
2 years ago
On a coordinate plane, square P Q R S is shown. Point P is at (4, 2), point Q is at (8, 5), point R is at (5, 9), and point S is
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Answer:

(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.

Step-by-step explanation:

  • Point P is at (4, 2),
  • Point Q is at (8, 5),
  • Point R is at (5, 9), and
  • Point S is at (1, 6)

Midpoint of SQ =\frac{1}{2}(1+8,5+6)=(4.5,5.5)

Midpoint of PR =\frac{1}{2}(4+5,2+9)=(4.5,5.5)

Now, we have established that the midpoints (point of bisection) are at the same point.

Two lines are perpendicular if the slope of one is the negative reciprocal of the other.

In option D

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Therefore, lines RP and SQ are perpendicular.

Option D is the correct option.

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2 years ago
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