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goblinko [34]
3 years ago
9

What is the converse of the following true conditional? If the converse is true, rewrite the statements as a biconditional. If e

ither is false, give a counterexample.
If two lines are parallel, they do not intersect.
Select one:
a. If two lines do not intersect, they are parallel. One statement is false. If two lines do not intersect, they could be skew.
b. If two lines do not intersect, they are parallel. One statement is false. If two lines are parallel, they may intersect twice.
c. If two lines do not intersect, they are parallel. Both statements are true. Two lines are parallel if (and only if) they do not intersect.
d. If two lines do not intersect, they are not parallel. Both statements are true. Two lines are not parallel if (and only if) they do not intersect.

Mathematics
2 answers:
Kipish [7]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Hope this helps (=

Kay [80]3 years ago
3 0

Answer: A

Step-by-step explanation: The converse of a conditional is when the two statements switch spots, for example:

Conditional: If someone like ice cream, they have brown hair

Converse: If someone has brown hair, they like ice cream

The converse of our given conditional would be:

If two lines do not intersect, they are parallel

This eliminates Option D

Next, the converse is false.

Skew lines (example attached) do not intersect and are also not parallel, meaning if two lines do not intersect, they <em>could</em> be either parallel or skew.

This eliminates Option C and B, leaving us with Option A

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I need help with questions #7 and #8 plz
katen-ka-za [31]

Answer:

7. A = 40.8 deg; B = 60.6 deg; C = 78.6 deg

8. A = 20.7 deg; B = 127.2 deg; C = 32.1 deg

Step-by-step explanation:

Law of Cosines

c^2 = a^2 + b^2 - 2ab \cos C

You know the lengths of the sides, so you know a, b, and c. You can use the law of cosines to find C, the measure of angle C.

Then you can use the law of cosines again for each of the other angles. An easier way to solve for angles A and B is, after solving for C with the law of cosines, solve for either A or B with the law of sines and solve for the last angle by the fact that the sum of the measures of the angles of a triangle is 180 deg.

7.

We use the law of cosines to find C.

18^2 = 12^2 + 16^2 - 2(12)(16) \cos C

324 = 144 + 256 - 384 \cos C

-384 \cos C = -76

\cos C = 0.2

C = \cos^{-1} 0.2

C = 78.6^\circ

Now we use the law of sines to find angle A.

Law of Sines

\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}

We know c and C. We can solve for a.

\dfrac{a}{\sin A} = \dfrac{c}{\sin C}

\dfrac{12}{\sin A} = \dfrac{18}{\sin 78.6^\circ}

Cross multiply.

18 \sin A = 12 \sin 78.6^\circ

\sin A = \dfrac{12 \sin 78.6^\circ}{18}

\sin A = 0.6535

A = \sin^{-1} 0.6535

A = 40.8^\circ

To find B, we use

m<A + m<B + m<C = 180

40.8 + m<B + 78.6 = 180

m<B = 60.6 deg

8.

I'll use the law of cosines 3 times here to solve for all the angles.

Law of Cosines

a^2 = b^2 + c^2 - 2bc \cos A

b^2 = a^2 + c^2 - 2ac \cos B

c^2 = a^2 + b^2 - 2ab \cos C

Find angle A:

a^2 = b^2 + c^2 - 2bc \cos A

8^2 = 18^2 + 12^2 - 2(18)(12) \cos A

64 = 468 - 432 \cos A

\cos A = 0.9352

A = 20.7^\circ

Find angle B:

b^2 = a^2 + c^2 - 2ac \cos B

18^2 = 8^2 + 12^2 - 2(8)(12) \cos B

324 = 208 - 192 \cos A

\cos B = -0.6042

B = 127.2^\circ

Find angle C:

c^2 = a^2 + b^2 - 2ab \cos C

12^2 = 8^2 + 18^2 - 2(8)(18) \cos B

144 = 388 - 288 \cos A

\cos C = 0.8472

C = 32.1^\circ

8 0
2 years ago
1500= 5n- 300 <br> Solve the equation for n . Show work.
quester [9]

Answer: 360 = n

Step-by-step explanation:

1500= 5n - 300

+300        +300

1800=5n

1800/5

360=n

I would appreciate a brainliest, please?

6 0
2 years ago
Read 2 more answers
Convert the following <br><br>250cm to m​
dmitriy555 [2]

100 cm = 1m

1 cm = 1/100

250 cm = 1/100*250

= 2.5m

This is Right answer...

4 0
3 years ago
The ages of three cousins are consecutive even whole numbers. The sum of the youngest and oldest is 16. How old is the oldest co
PilotLPTM [1.2K]
The oldest cousin should be 10. If their ages are consecutive even whole numbers, then the younger cousins should be 2 & 4. 2+4=6+10=16
4 0
2 years ago
Which fraction set is equivalent to 5/6 ÷ 7?
Ymorist [56]
10/12 = 15/18 = 20/24
4 0
3 years ago
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