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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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area is base x height so 5 x 100 because as I said area is base x height.

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⦁ A $10,000 certificate of deposit earns simple interest of 8 percent per year. Calculate the total earned money over the 5 year
abruzzese [7]

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The total earned money over the 5 year period=$14,000

Step-by-step explanation:

We are given that

Principle amount, P=$10000

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Time, t=5 years

We have to find the total earned money over the 5 year period.

We know that

Simple interest=\frac{P\times r\times t}{100}

Using the formula

S.I=[tex]\frac{10000\times 8\times 5}{100}{/tex]

S.I=$4000

Now,

Amount=P+S.I

Amount=10000+4000

Amount=$14000

Hence, the total earned money over the 5 year period=$14000

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2 years ago
If the temperature degrees above zero are denoted by positive numbers, what does - 10 degrees denoted?
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Answer:

-10 degrees denotes 10 degrees below zero.

Step-by-step explanation:


3 0
3 years ago
Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on. He continues to double his savings each
zheka24 [161]

ANSWER

$16,384

EXPLANATION

From the question we have that,

Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on.

This forms a geometric sequence,

1,2,4,...

The first term of this sequence is

a = 1

The common ratio is

r =  \frac{2}{1}  =  \frac{4}{2}  = 2

The general term of a geometric sequence is given by the formula:

f(n) = a {r}^{n - 1}

To find the 15th term, we plug in a=1, r=2 and n=15.

f(15) = 1 {(2)}^{15 - 1}

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The amount he will save on the 15th day is $16,384

4 0
3 years ago
Which equation represents a proportional relationship between the x and y values?
Airida [17]

Answer:

D) y=-2x

Step-by-step explanation:

A linear relationship is of the form y=mx+b, where, m is the slope and b is the y-intercept (constant).

For a proportional relationship, the value of b=0 and thus it is of the form y=mx

Let us check each option and express it in the form above.

Option A:

y=2

This can be written as y=0x+2. So, b\ne 0.

Since, b \ne 0, therefore, it is not a proportional relationship.

Option B:

y=14x+1

Here, b=1. So, b\ne 0.

Since, b \ne 0, therefore, it is not a proportional relationship.  

Option C:

y=x-4

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Since, b \ne 0, therefore, it is not a proportional relationship.  

Option D:

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This can be rewritten as y=-2x+0

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Since,b = 0, therefore, it is a proportional relationship.

Therefore, the correct option is D.

8 0
3 years ago
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