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3 years ago

Line d is parallel to line c in the figure below. Which statements about the figure are true? Select three options.

Mathematics

1 answer:

Andreyy893 years ago

8 0

Answer:

Statements 2, 3 and 4 are true.

Step-by-step explanation:

2. < 1 and < 4 are alternate interior angles.

3. < 3 and < 6 are vertical angles.

4. There are 2 sets of alternate angles so the triangles are similar (< 1 and <4, and <2 and <5).

You might be interested in

Solve the right triangle

defon

I recommend learning the mnemonic SOHCAHTOA (it's very fun to say!)
Here is what SOHCAHTOA represents.

Sin - Opposite / Hypotenuse (SOH)
Cos - Adjacent / Hypotenuse (CAH)
Tan - Opposite / Adjacent (TOA)

The sine of an angle is the length of the side opposite of the angle divided by the length of the hypotenuse.

Thus, the length of the side opposite of the angle divided by the sine will give us the length of the hypotenuse.

The angle is 46 degrees. The length of the side opposite of the angle is 14. The hypotenuse is c.

$c= \dfrac{14}{\sin{46^o}}$

$\approx 19.46$

The tangent of an angle is the length of the side opposite of the angle divided by the length of the side adjacent to the angle.

Thus, the length of the side opposite to the angle divided by the tangent of the angle will give us the length of the other leg.

The length of the side opposite to the angle is 14. The angle is 46. The unknown length of the side adjacent to the angle is b.

$b=\dfrac{14}{\tan{46^o}}$

$\approx 13.52$

This should be what you are looking for. Enjoy!

6 0

3 years ago

Plz help me, can't figure this out:

Bess [88]

Answer:

y= -2/5x - 6

Step-by-step explanation:

Use Rise/Run with any of the given points! You go up two, left 5. That proves the slope is -2/5. The line hits the Y axis at -6, so the y-intercept is -6!

I hope this helps!!

3 0

3 years ago

Angle Sums Properties. Qute-Level

geniusboy [140]

49 is the missing angle

3 0

3 years ago

Read 2 more answers

write an equations in slope-intercept form of the line that passes through the point(5,9) with slope 7

vovangra [49]

Answer:

$y=7x-26$

Step-by-step explanation:

1) Write it in the slope-intercept form of $y=mx+b$ , where m is the slope and b is the y-intercept.

$y=7x +c$

2) Substitute the given coordinates into $y=7x +b$ , and then solve for c.

$9=7(5) +b\\9=35+b\\9-35=b\\b= -26$

3) Substitute c into $y=7x +b$

$y=7x-26$

Therefore, the answer is $y=7x-26$ .

6 0

2 years ago

Desjardin Landscaping's income statement reports net income of $73,700, which includes deductions for interest expense of $10,70

Lisa [10]

Answer:

11 times

Step-by-step explanation:

To calculate the interest earned with respect to the initials, what you owe is to add up all the income to the company, in this case the net profit that is 73700, plus the interest that is 10700 and income taxes of 33300. That sum is divided by the value of interest and will give the number of times the interest was earned. As follows:

(73700 + 10700 + 33300) / 10700 = 11 times

The answer would be 11 times he has earned interest.

5 0

3 years ago