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Mariulka [41]
2 years ago
13

I need help with this geometry question asap!

Mathematics
1 answer:
guajiro [1.7K]2 years ago
6 0

No pair of lines can be proven to be parallel considering the information given, therefore, the answer is: D. None of the options are correct.

<h3>When are Two Lines Proven to be Parallel to each other?</h3>

Two lines that are cut across by a transversal can be proven to be parallel to each other if:

  • The alternate interior angles along the transversal and on the two lines are congruent [alternate interior angles theorem].
  • The alternate exterior angles along the transversal and on the two lines are congruent [alternate exterior angles theorem].
  • The same-side interior angles along the transversal and on the two lines are supplementary [same-side interior angles theorem].
  • The corresponding angles along the transversal and on the two lines are congruent [corresponding  angles theorem].

Thus, given the following information:

m∠2 = 115°

m∠15 = 115°

With only these two angles given, we can't use any of the theorems to prove that any of the two lines are parallel because angle 2 and angle 15 are located entirely on two different transversals that crosses two lines.

In summary, we can conclude that:

D. None of the options are correct.

Learn more about the Parallel lines on:

brainly.com/question/16742265

#SPJ1

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What are the solutions of the quadratic equation? 4x^2+34x+60=0
insens350 [35]

Answer:

Option 3) -6,-5/2

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

4x^{2} +34x+60=0  

so

a=4\\b=34\\c=60

substitute in the formula

x=\frac{-34(+/-)\sqrt{34^{2}-4(4)(60)}} {2(4)}

x=\frac{-34(+/-)\sqrt{196}} {8}

x=\frac{-34(+/-)14} {8}

x_1=\frac{-34(+)14} {8}=-\frac{20}{8}=-\frac{5}{2}

x_2=\frac{-34(-)14} {8}=-6

6 0
3 years ago
What is the answer to 3 = x/12 + 3?
Citrus2011 [14]
The answer is 3.25 hundredths your welcome and thank you for letting me answer your answer bye.
4 0
3 years ago
What is the common ratio of 40,12,3.6
slava [35]

Answer:

0.3

Step-by-step explanation:

Divide the second term (12) with the first term (40), and you'll get 0.3

This is correct because you get the terms in the correct order when multiplying:
(First term: 40. Common ratio: 0.3)
40 x 0.3 = <u>12</u>
<u>12</u> x 0.3<em> </em>= <em>3.6</em>

40, <u>12</u>, <em>3.6</em>

3 0
2 years ago
.933333333 repeative as a fraction
Tanya [424]
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7 0
3 years ago
Seth just opened a checking account. His account includes an ATM card. What will he NOT be able to do with his card?    
OverLord2011 [107]

Answer:

Option a

Step-by-step explanation:

Given that Seth just opened a checking account. His account includes an ATM card.

With ATM card

d) he can withdraw money from any ATM centre provided sufficient balance is kept in his checking account

b) he can deposit money for fixed denominations normally in multiples of 100 in the ATM centre with ATM card

c) he can give the card with pin in any shop to purchase an item instead of paying cash.

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Only with netbanking transfer of money is possible

Option a is right answer

6 0
3 years ago
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