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Nina [5.8K]
3 years ago
9

4. Using the given information, which lines, if any, can you conclude are parallel? Justify your conclusion with a theorem or po

stulate. Angle 1 is supplementary to angle 4. 9/11 v 1/5 2/6 10/12 b A 3/7 4 8 1 O || m by Converse of the Corresponding Angles postulate Oa || b by Converse of the Corresponding Angles Postulate Ollm by Converse of the Same-Side Exterior Angles Theorem Oa || b by Converse of the Same-Side Exterior Angles Theorem​

Mathematics
1 answer:
zheka24 [161]3 years ago
7 0

Answer:

Option (4)

Step-by-step explanation:

It has been given in the question that angle 1 is supplementary to angle 4.

m∠1 + m∠4 = 180°

∠2 and ∠3 are the interior consecutive angles.

Since, same side of the theorem says "Exterior angles formed on the same side of the parallel lines and the transversal line are supplementary".

Therefore, by converse of the same side Exterior angles theorem 'a' and 'b' will be parallel.

Option (4) will be the answer.

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Plss help!!Need this ASAP!!Daniel began filling an empty swimming pool
beks73 [17]

Answer:

15 hours

Step-by-step explanation:

To find the gallons per hour: 230/5=46, this means that it take 46 gallons per hour, you add 46 to 230, and you do that 15 times and you'll get 920. The pool will be filled at 11:00 pm.

5 0
4 years ago
The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What
Darina [25.2K]
X = older brother
y = younger brother 

Equation 1: x/y = 2/3 ⇒ x = 2y/3
Equation 2: x + 8/y + 8 = 3/4

( \frac{2y}{3} + 8) / y +8 =  \frac{3}{4}
(2y + 24)/3 = y + 8 =  \frac{3}{4}
2y + 24 = 3 (y + 8) =  \frac{3}{4}
2y + 24 = 3y + 24 =  \frac{3}{4}
4 (2y + 24) = 3 (3y + 24)
8y + 96 = 9y + 72
y = 24

The age of the older brother is 24.

x =  \frac{2y}{3} = \frac{2*24}{3}
x =  \frac{48}{3}
x = 16

The age of the youngest brother is 16.
5 0
4 years ago
Read 2 more answers
Which characteristics of a graph tell you that it represents<br> a proportional relationship?<br> I
SVEN [57.7K]

Answer: is a straight line that passes through the orgin hope it helps

Step-by-step explanation:

4 0
3 years ago
If ABC=DEF and MNO=PQR, then ABC=PQR by the transitive property.
zavuch27 [327]

Answer:

B. False

Step-by-step explanation:

There is not enough information to make that conclusion. The two statements are completely unrelated, so the transitive property cannot be used. None of the given statements say that ABC is congruent to MNO or PQR. That means that nothing can be assumed about DEF. To use the transitive property you would need proof that ABC=MNO or ABC=PQR. But neither of those statements are there so the answer is false.

3 0
3 years ago
What is the slope in the line formed by points (-1,-2) and (3,-3
tia_tia [17]

Slope of the line formed by points (-1,-2) and (3,-3) is Slope=\frac{-1}{4}

Step-by-step explanation:

We need to find slope of the line formed by points (-1,-2) and (3,-3)

Finding slope:

The formula used is:

Slope=\frac{y_2-y_1}{x_2-x_1}

here, x_1=-1,y_1=-2,x_2=3,y_2=-3

Putting values and finding slope:

Slope=\frac{y_2-y_1}{x_2-x_1}

Slope=\frac{-3-(-2)}{3-(-1)}

Slope=\frac{-3+2}{3+1}

Slope=\frac{-1}{4}

So, slope of the line formed by points (-1,-2) and (3,-3) is Slope=\frac{-1}{4}

Keywords: Equation of line using Slope  

Learn more about Equation of line using Slope at:

  • brainly.com/question/4819659
  • brainly.com/question/4097107
  • brainly.com/question/1979240

#learnwithBrainly

3 0
3 years ago
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