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Lady bird [3.3K]
3 years ago
9

Please help with this

Mathematics
1 answer:
Maslowich3 years ago
3 0
<h3>Explanation:</h3>

The note "SAS Congruence" under the middle box tells you this proof will be accomplished by showing two sides and the included angle are congruent. (That's what S A S refers to.)

One of the angles is shown in the upper left box as ∠TMI. The note under that box tells you the other angle is a vertical angle with ∠TMI. By referring to the diagram, you see that the vertical angle is ∠EMR.

The middle box on the left and the bottom box on the left share the note "M is a midpoint." This tells you the segments of interest are the congruent segments of which M is the midpoint. The <em>Given</em> information tells you M is the midpoint of ET and of RI. The middle left box is already filled with TM ≅ EM, so the bottom box needs to be filled with the letters of the other segments: RM ≅ IM.

The three congruence relationships on the left, involving an angle and two  sides either side of that angle mean that you can invoke the SAS Congruence theorem to say ΔTMI ≅ ΔEMR. Be sure to write the triangle names so that T corresponds to E, and I corresponds to R. This is the relation that goes in the middle box.

The right side box is the desired conclusion, the whole point of the proof: ∠T ≅ ∠E. The corresponding note is "CPCTC" (corresponding parts of congruent triangles are congruent).

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The Pick 4 games in many state lotteries announce a four‑digit winning number each day. Each of the 10,000 possible numbers 0000
Finger [1]

Answer:

Step-by-step explanation:

Given that the Pick 4 games in many state lotteries announce a four‑digit winning number each day. Each of the 10,000 possible numbers 0000 to 9999 has the same chance of winning. You win if your choice matches the winning digits. Suppose your chosen number is 3079 .

a) The probability that the winning number matches your number exactly

= 1 out of 10000 = 0.0001

b) the probability that the winning number has the same digits as your number in any order

This includes 0379, 0397, 0739, 0793, 0937, 0397 i.e. starting from 0 there are 6 = 3! ways

Or 3079 can be arranged in 4! ways = 24

Favorable outcomes = 24

Prob of winning = 24/10000 = 0.00024

=0.0002

4 0
3 years ago
Which statement is true? a 3 2/5 &lt; 2 4/5 b 2/3 &gt; 1 7/3 c 4 1/4 &gt; 2 3/4 d 1/2 &lt; 1/4
Kaylis [27]

Answer:

c 4¼ > 2¾

Step-by-step explanation:

1 7⁄3 → 3⅓ [We know that this is false (answer choice b)]

This is correct because in this case, we can base it off of the larger whole number:

2 < 4

I am joyous to assist you anytime.

5 0
3 years ago
How do i find the circumcenter of a triangle with an undefined slope
gulaghasi [49]

The slope perpendicular to an undefined slope is: 0

Example:

x = 5 is a vertical line and has an undefined slope.

The line perpendicular to it is y = <em>any value</em> which has a slope of 0.


I hope this makes sense.  If not, please post the homework question so we can help you find the circumcenter.

3 0
3 years ago
Which equation represents a line which is parallel to the line y=-8/3x-8?
Amiraneli [1.4K]

Answer:

8x+3y=-6

Step-by-step explanation:

Convert to slope-intercept form

8x+3y=-6

3y=-8x-6

y=-8/3x-2, The slope is the same, therefore the lines are parallel.

6 0
4 years ago
____________ are vibrations of the earth’s crust caused by movement at plate boundaries and major fault lines.
Maurinko [17]

Answer:

Earthquakes

Step-by-step explanation:

Earthquakes are vibrations of the earth’s crust caused by movement at plate boundaries and major fault lines.

4 0
3 years ago
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