Which of the following are equivalent ratios?A: 12 : 16B: 3 : 5C: 2 : 3D: 6 : 8
1 answer:
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ON = 8x • 8
LM = 7x + 4
NM = x - 5
OL = 3y - 6
OL is congruent & parallel to NM
LM is congruent & parallel to ON
So,
Simplify
subtract 7x from both sides
divide 57 from both sides
Substitute x into equations
NM & OL = -28/57
ON & LM = 4 + (28/57)
LM = 7x + 4
NM = x - 5
OL = 3y - 6
OL is congruent & parallel to NM
LM is congruent & parallel to ON
So,
Simplify
subtract 7x from both sides
divide 57 from both sides
Substitute x into equations
NM & OL = -28/57
ON & LM = 4 + (28/57)
We can use quadratic formula to determine the roots of the given quadratic equation.
The quadratic formula is:
b = coefficient of x term = -11
a = coefficient of squared term = 2
c = constant term = 15
Using the values, we get:
So, the correct answer to this question are option B and D
The quadratic formula is:
b = coefficient of x term = -11
a = coefficient of squared term = 2
c = constant term = 15
Using the values, we get:
So, the correct answer to this question are option B and D
Answer:
Side of the square paper = 21 inches
Step-by-step explanation:
Let the square paper is having measure of each side = a inches
Esther cut this square piece into two pieces.
Let the other side of one rectangle piece = x inches
Perimeter of this piece = 2(a + x) inches
Similarly dimensions of the other rectangular piece will be = a inches × (a - x) inches
Perimeter of this piece = 2[a + (a - x)]
Since both the rectangular pieces have the same perimeter = 63
So, 2(a + x) = 2[a + (a - x)] = 63
2(a + x) = 2(2x - x)
a + x = 2a - x
2a - a = 2x
a = 2x
x =
Therefore, Perimeter = 2(a + x) = 2(a + ) = 63
= 63
3a = 63
a = 21
Therefore, measure of the sides of the square is 21 inches.
