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Naddik [55]
2 years ago
14

Geometry help please

Mathematics
1 answer:
Law Incorporation [45]2 years ago
3 0
<h3>Answer:  RJ = 10</h3>

=======================================================

Explanation:

Recall that midsegments are half as long as the side they are parallel to. In this case, midsegment PQ is parallel to segment GJ. This means PQ is half as long as GJ. Phrased another way, we can say GJ is twice as long as PQ.

So,

GJ = 2*PQ

Also, we can see that GR = RJ due to the triple tickmarks they share. This leads to GJ = GR+RJ = RJ+RJ = 2*RJ

Or in short,

GJ = 2*RJ

---------

In summary we can see that

  • GJ = 2RJ
  • GJ = 2PQ

equating both right hand sides leads to

2RJ = 2PQ

RJ = PQ

Because PQ is 10 units, this means RJ is also 10 units.

--------------------

Another way to see why PQ = RJ is to notice how triangles HPQ and QRJ are congruent triangles (use SAS to prove this). The corresponding pieces PQ and RJ are the same length, so PQ = RJ = 10.

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Simplify 2^2[4+(3-6)^2]-13
HACTEHA [7]

Answer:

It's 19.

Step-by-step explanation:

Use order of operations (PEMDAS):

2^2[4+(3-6)^2]-13

Parentheses first:

= 2^2[4 + (-2)^2] - 13

= 2^2 ( 4 + 4) - 13

=  2^2 * 8 - 13

Now work out the exponent:

= 4*8 - 13

Now the multiplication:

= 32 - 13

= 19.

8 0
3 years ago
This data set gives the scores of 41 students on a biology exam: {66, 67, 67, 68, 80, 81, 81, 82, 22, 65, 66, 68, 69, 70, 71, 71
Naddika [18.5K]
I think the answer is 74.
3 0
3 years ago
If a 40,000g cannon ball is 35m above the Earth’s surface, how much potential energy does the cannon ball have?
ELEN [110]

Answer:

Step-by-step explanation:

Remark

You could do this by converting the distance but the much more common way is to use kg and m.

Formula

PE = m * g * h

Givens

m = 40000 grams

m = 40000 grams * 1kg/1000 grams = 40 kg

g = 9.81

h = 35 m

Solution

PE = 40 * 9.81 * 35

PE = 13734 Joules

4 0
3 years ago
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almond37 [142]

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Step-by-step explanation:

I did something like that before

4 0
3 years ago
35% of what number is 35?
gayaneshka [121]
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