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Ilya [14]
3 years ago
7

Janet is trying to prove that the sum of the measures of the interior angles of a triangle is 180°.

Mathematics
2 answers:
Butoxors [25]3 years ago
7 0

Answer:

  A  Alternate interior angles of parallel lines are congruent

Step-by-step explanation:

The referenced angles (1, A), (3, C) are alternate interior angles, not corresponding or exterior. The symmetric property does not apply. The only answer choice with any applicability is the one shown above. (It is also the right choice.)

pogonyaev3 years ago
6 0

Answer:

<h2>A . Alternate interior angles of parallel lines are congruent</h2>

Step-by-step explanation:

If you observe the image, the statement that Janet wants to justify is

\angle 1 \cong \angle A

\angle 3 \cong \angle C

According to the given graph, these angles are inside parallels because DE \parallel AC by given, and these angles are at different sides of the transversals BA and BC, those position define Alternate Interior Angles, which by theorem  they are congruent.

Therefore, the right reason of such congruence is

<em> A . Alternate interior angles of parallel lines are congruent.</em>

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Please help me answer this ASAP! The two-way table shows the number of ninth and tenth graders who prefer going to sporting even
Elis [28]
<h2>Answer</h2>

0.43

<h2>Explanation</h2>

Remember that RelativeFrecuency=\frac{Frecuency}{SumOfAllFrecuencies}

Since the problem is telling us "Among tenth graders", we must focus on the 10th graders row only. From the row, we can infer that the frequency is the number of 10th graders who prefer going to sporting events, so Frecuency=6. Now, the sum of all frequencies will be the sum of all the 10th graders, so SumOfAllFrecuencies=6+8=14. Let's replace the values:

RelativeFrecuency=\frac{Frecuency}{SumOfAllFrecuencies}

RelativeFrecuency=\frac{6}{14}

RelativeFrecuency=0.4285

And rounded to the nearest hundredth:

RelativeFrecuency=0.43

4 0
3 years ago
Its pitcher is shaped like a cylinder with a radius of 1 centimeter and a height of 7.8 cm. What's this pitcher plant's approxim
nordsb [41]

Answer:

The pitcher plant's approximate volume is 24.492 \text{cm}^{3}.

Step-by-step explanation:

We are given that a  pitcher is shaped like a cylinder with a radius of 1 centimeter and a height of 7.8 cm.

Let the radius of a cylinder = r = 1 cm

and the height of a cylinder = h = 7.8 cm

As we know that the volume of a cylinder is given by;

The volume of a cylinder = \pi r^{2}h

                           = 3.14 \times 1^{2} \times 7.8  {taking approximate value of \pi to be 3.14}

                           = 3.14 \times 7.8

                           = 24.492 \text{cm}^{3}

Hence, this pitcher plant's approximate volume is 24.492 \text{cm}^{3}.

4 0
2 years ago
The equation y = 1/3 x is the boundary line for the inequality y ≤ 1/3 x Which sentence describes the graph of the inequality?
professor190 [17]
D d d d f ddddddddddd
7 0
3 years ago
If (-7,43) and (4,-12) are two anchor points on the trend line, then find the equation of the line
Romashka [77]
Slope, found using the points is -55/11 = -5
We use that for the equation y=mx+b where m=-5. Since we also know one of the points, we can plug that in and find b
-12=-5(4)+b
-12=-20+b
8=b

So the equation of the line is y=-5x+8
8 0
3 years ago
Polynomial add or subtract (-2x^2-4x+13)+(12x^2+2x-25)
BigorU [14]

1.Simplify.

-2{x}^{2}-4x+13+12{x}^{2}+2x-25−2x2−4x+13+12x2+2x−25

2.Collect like terms.

(-2{x}^{2}+12{x}^{2})+(-4x+2x)+(13-25)(−2x2+12x2)+(−4x+2x)+(13−25)

3.Simplify.

10{x}^{2}-2x-1210x2−2x−12

6 0
3 years ago
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