Step-by-step explanation:
Given the information:
- 1st square: 12 square units
- 2nd square: DOUBLE that of the first square = 2*12 = 24 square units
From that, we can determine the length of the side in each square:
1/
<=> x = 2
2/
<=> a = 2
Please have a look at the attached photo.
Hope it will find you well.
Answer:
64/49
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
a^0 = 1
_____
Using these rules, we can simplify the given expression to ...
Answer:
Complex Fraction/Compound Fraction
Step-by-step explanation:
Complex Fraction/Complex Fraction : A fraction whose numerator or denominator or both, obtain a fraction.
Mixed Fraction: An improper fraction which is written as the sum of a whole number and a proper fraction
Parallel Fraction: I've never heard of the term parallel fraction but refer to the definition down below because, i'm not sure if this is what you mean.
Equivalent Fraction: Different fractions which create the same number as a whole
Part A:
Given that <span>FG is the midsegment of isosceles triangle ABC, by the triangle midsegment theorem, we have that BF = FC and AG = GB.
Thus, BC = BF + FC = 2BF (since BF = FC)
Therefore, the measure of side BC is 2(20 mm) = 40 mm
Part B:
Similarly by the triangle midsegment theoren, GF = 1/2AC.
Given that the measure of side AC is 30 mm, therefore, the measure of side GF is 1/2(30 mm) = 15 mm
Part C:
From the given figure, EG = GF = AD.
Since, we obtained from part B that the measure of side GF is 15 mm, thus EG = GF = AD = 15 mm.
CD = CA + AD = 30 mm + 15 mm = 45 mm
Therefore, the measure of side CD is 45 mm.
Part D:
Given that EF is parallel to KM is parallel to DC, BA is a transversal such that EG = DA, this implies that line DE is parallel to line AG.
Since, line DE is parallel to line AG and KM is the midsegment of trapezoid CDEF, this implies that line KL is parallel to line DE is parallel to line AG. And ADEG forms a parallelogram with KL as the midsegment. This means that EG = KL = DA = 15 mm.
Also, LM is halfway between GF and AC, and thus the measure of line LM is the average of the measures of line GF and AC.
Thus, LM = (15 mm + 30 mm) / 2 = 45 mm / 2 = 22.5 mm
Therefore, the measure of line KM = The measure of line KL plus the measure of line LM = 15 mm + 22.5 mm = 37.5 mm
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Answer:
y = 2/3x - 1
Step-by-step explanation:
Find the slope:
2y = 3x - 5
2/2y = 3/2x - 5/2
y = 3/2x - 5/2
Slope is 3/2
In order for a line to be perpendicular the slope in the equation should be flipped. 3/2 becomes 2/3.
Perpendicular equation:
y = 2/3x + b
b is going to be equal to the y intercept of the point they gave us, so -1.
Answer: y = 2/3x - 1