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Artist 52 [7]
3 years ago
9

The black figure is an ellipse

Mathematics
1 answer:
mash [69]3 years ago
8 0
There is no figure here
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Veronica tells another classmate that ΔHAT is congruent to ΔPAM because of the AAA Theorem. Is Veronica correct in what she tell
SCORPION-xisa [38]

Answer: Veronica is not correct

Explanation:

The AAA theorem, aka the AA theorem, only applies to similar triangles. We cannot use it to prove two triangles are congruent or not. We would need to know info about at least one pair of sides. So based on this diagram, we don't have enough information to know if triangle HAT is congruent to triangle PAM or not.

A similar example to this is to consider two equilateral triangles. Let's call them triangle A and triangle B. If equilateral triangle A has side lengths of 2, and has side lengths of 10, we can see that the triangles are not congruent. However, the triangles are similar because the corresponding angles equal one another. One triangle is a scaled copy of the other. This example is a counterexample as to why the AAA theorem is not a valid congruence theorem.

3 0
2 years ago
What is the slope of this line?
anygoal [31]

Answer:

35^67

Step-by-step explanation:

8 0
3 years ago
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The first gardener can finish the job in 6 hours, and the second gardener can do the same job in 7 hours. How long it will take
marissa [1.9K]

If the first gardener can finish the job in 6 hours, it means that every hour he completes 1/6 of the job.

By the same logic, the second gardener completes 1/7 of the job per hour.

So, if they work together, they complete

\dfrac{1}{6}+\dfrac{1}{7}=\dfrac{7+6}{42}=\dfrac{13}{42}

of the job per hour.

So, after 42/13 of a hour, they'll complete the job. Since one hour is made of 60 minutes, 42/13 of a hour is

\dfrac{42}{13}\cdot 60 \approx 194

So, it will take them about 194 minutes to finish the job, i.e. about 3 hours and 14 minutes.

8 0
3 years ago
Please help! I’m not good with y=mb+x
3241004551 [841]

Answer:

m = -4

b = -12

Step-by-step explanation:

First, identify the slope-intercept form:

y = mx + b

y = -4x - 12

Whereas m = slope and b = y-intercept.

Slope is the steepness of the line.

The y-intercept is where the line intersects the y axis.

8 0
3 years ago
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Is the square root of 65 rational or irrational?​
wlad13 [49]

Step-by-step explanation:

\sqrt{65}

As it can't be expressed in the form p/q, where q is not equal to 0,

<em><u>Hence</u></em><em><u>,</u></em>

<em><u>square</u></em><em><u> </u></em><em><u>root</u></em><em><u> </u></em><em><u>65</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>an</u></em><em><u> </u></em><em><u>irrational</u></em><em><u> </u></em>

3 0
2 years ago
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