I don’t understand this. In class we have been doing these problems with only one transversal, not two.

Mathematics

1 answer:

Verizon [17]3 years ago

3 0

Answer: Yes it is possible. Angle DCF is also 50 degrees

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Check out the image attachment below. On that image, I've marked that angle EBA is congruent to angle BAC by the alternate interior angle theorem. Those angles are shown in red. Furthermore, angle BAC is congruent to DCF (corresponding angles) using a green marker. Finally, using the transitive theorem, you can connect the statements in a chain to say that angle EBA is congruent to angle DCF, which is why angle DCF is 50 degrees as well.

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Anettt [7]

Start by making variables to represent each tire
S=all-season tires
T=all-terrain tires
Create equations based on what was given in the question
68s+125t=3926 (the price for each tire multiplied by the number of tires equals the overall sales price)
T=14 (14 all-terrain tires were sold)
Sub 14 into the first equation for t in order to solve for s
68s+125(14)=3926
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3 years ago

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AveGali [126]

Simplify

$E=\dfrac{\frac{x}{y}-\frac{y}{x}}{\frac{1}{y}+\frac{1}{x}}$

Conditions for the existance of $E:$

$x\neq 0~~\text{ and}~~y\neq 0~~\text{ and }~~x\neq -y.$

(otherwise, the one of the denominators would be zero.)
____________________

Simplifying:

$E=\dfrac{\frac{x}{y}-\frac{y}{x}}{\frac{1}{y}+\frac{1}{x}}$

Multiply both the numerator and the denominator by $xy:$

$E=\dfrac{xy\cdot \left(\frac{x}{y}-\frac{y}{x} \right )}{xy\cdot \left(\frac{1}{y}+\frac{1}{x} \right )}\\\\\\ E=\dfrac{\frac{xy\cdot x}{y}-\frac{xy\cdot y}{x}}{\frac{xy}{y}+\frac{xy}{x}}\\\\\\ E=\dfrac{x^{2}-y^{2}}{x+y}\\\\\\ E=\dfrac{(x+y)(x-y)}{x+y}$

Simplify common factors:

$E=x-y\\\\\\ \therefore~~\boxed{\begin{array}{c}\dfrac{\frac{x}{y}-\frac{y}{x}}{\frac{1}{y}+\frac{1}{x}}=x-y \end{array}}$

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3 years ago

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kirill115 [55]

Answer:

Step-by-step explanation:

Y=3x-4

Slope of this line = 3

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