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3 years ago

Drag and drop a statement or reason to each box to complete the proof.

Mathematics

2 answers:

Inga [223]3 years ago

7 0

Answer:

Given : EFGH is a Parallelogram

Prove : EG Bisects HF , HF Bisects EG

Step-by-step explanation:

Proof

Check image below

frozen [14]3 years ago

5 0

Answer:

Given Parallelogram EFGH

EG bisects HF and HF bisects EG, if and only if both the diagnols have same mid point.

Step-by-step explanation:

Step 01:

Let

E be the point (a,b)

F be the point (a',b)

G be the point (a',b')

H be the point (a,b')

Step 02:

Now find mid points of EG and HF

mid point of EG = ( $\frac{a+a'}{2}$ , $\frac{b+b'}{2}$ ) and

mid point of HF = ( $\frac{a'+a}{2}$ , $\frac{b'+b}{2}$ )

Since addition is commutative, and they have the same mid-point, so they bisect each other.

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Nonamiya [84]

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3 years ago

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balu736 [363]

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3 years ago

Read 2 more answers

In the arithmetic sequence {13, 6,-1,-8,...}, what is the common difference?

guapka [62]

<h3>Answer: -7</h3>

Explanation:

Pick any term. Subtract off the previous one to find the common difference.

term2 - term1 = 6-13 = -7
term3 - term2 = -1-6 = -7
term4 - term3 = -8-(-1) = -8+1 = -7

And so on. You only need to pick one of those to show as your steps to your teacher. However, doing all three subtractions is a good way to get practice in seeing how we have an arithmetic sequence. The common difference must be the same each time.

We subtract 7 from each term to get the next term, i.e. we add -7 to each term to get the next one.

6 0

1 year ago

If 800g of a radioactive substance are present initially and 8 years later only 450g remain, how much of the substance will be p

artcher [175]

A=Pe^(rt)

P = 800g

t = 8 years

A = 450g

r = This is what we will try and find to start with

450=800e^(r*8)

After running the math through a calculator, we end with r = -0.07192

Now we just re-input this information into our equation: A=800e^(-0.07192*16)

A=800e^(1.15072)

Now we will re-write the equation using the negative exponent rule:

A = 800 1/e^1.15072

Combine right side:

A = 800/e^1.15072

Then do the math:

A = 253.12709836......

That will give us A = 253 (rounded to the whole number)

I hope this helps! :)

5 0

3 years ago

Seiji and Gavin both worked hard over the summer. Together they earned a total of $450. Gavin earned $30 more than seiji.

jok3333 [9.3K]

Answer:

(a) $s+g=450\\g=s+30$

(b) The graph is shown below.

(c) Seiji earned $ 210 and Gavin earned $ 240.

Step-by-step explanation:

Given:

Sum of earnings of Seiji and Gavin = $ 450

Gavin earns $ 30 more that that of Seiji.

(a)

So, as per question, if s and g are the amounts earned by Seiji and Gavin respectively, then;

$s+g=450\\g=s+30$

(b)

The graph is plotted using the x and y intercepts of each line.

For the line, $s+g=450$ , the x intercept is at $g=0$ . So, x intercept is (450,0). Similarly, the y intercept is when s=0, which is (0,450). Draw a line passing through these two points. The red line represents $s+g=450$ .

We follow the same process to plot the next line. The x intercept is at (-30,0) and y intercept is at (0,30). Draw a line passing through these two points. The blue line represents $g=s+30$ .

The graph is shown below.

(c)

From the graph, the point of intersection of the two lines gives the earnings of each of the persons.

The $x$ value of the point of intersection is the earning of Seiji which is $ 210 and the $y$ value is the earning of Gavin which is $ 240 as shown in the graph.

Therefore, Seiji earned $ 210 and Gavin earned $ 240.

3 0

3 years ago