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Sveta_85 [38]
3 years ago
12

Find the coordinates of the fourth vertex that completes the construction of the rectangle on the coordinate plan

Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0

The coordinates of the fourth vertex are (2, -4).

Step-by-step explanation:

Step 1:

The opposite sides of a triangle are always equal.

First, we plot the three given points of the rectangle.

Assume the top left corner is A, the top right corner is B, the bottom left corner is C and the bottom right corner is D.

We need to determine the coordinates of point D.

Step 2:

The coordinates of the given three points are

A (-2, 5), B (2, 5), and C (-2, -4).

A and C are the same side i.e. the left side, they have the same x coordinate of -2.

So B and D will have the same x coordinate of 2.

A and B are on the same side too i.e. the top side so they both have the same y coordinate of 5.

The points C and D are two ends of the bottom side so they must have the same y coordinate of -4.

So the coordinates of the fourth vertex are (2, -4).

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Write the first 4 multiples of 3/8
sesenic [268]

Multiples of 3

: 3, 6, 9, 12, 15, 18, 21, 24, ...

Multiples of 4

: 4, 8, 12, 16, 20, 24, ...

Multiples of 8

: 8, 16, 24, ..

2

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 2424

Method 2: By Prime Factors

1

List the prime factors of each number.

Prime Factors of 3

: 3

Prime Factors of 4

: 2, 2

Prime Factors of 8

: 2, 2, 2

2

Find the union of these primes.

2,2,2,32,2,2,3

3

Multiply these numbers: 2\times 2\times 2\times 3=242×2×2×3=24. This is the LCM.

LCM = 2424

3 0
2 years ago
HELP ILL GIVE BRAINLIEST
RideAnS [48]

Answer:

D

Step-by-step explanation:

3 0
3 years ago
What’s the answer and work for this? Please someone tell me
frutty [35]

Answer:11 hours

Step-by-step explanation:

you would add all three hours and then divide by 3 but first you would have to convert the minutes into hours so it would be 900/60 which is 15 so then you would do 8+10+15 / 3 which gives you 11

3 0
3 years ago
PLS HELP ASAP find the measure of side b. round to the nearest whole number
ludmilkaskok [199]

Answer:

b=204

Step-by-step explanation:

The law of sine states that: \frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}

We know that a triangle has 180° total, so we can subtract the two angle measures we know to find the third angle: 180-90-41=49°.

Using these two things, we can come up with the equality \frac{Sin90^{o} }{270} =\frac{Sin49^o}{b}, which we can use to solve for side b.

\frac{Sin90^o}{270} =\frac{1}{270}, so we know that \frac{1}{270} =\frac{Sin49^o}{b}.

Next, we would multiply both sides by b to get \frac{1}{270}b=Sin49^o.

Sin49°≈0.75471, so to find b we would multiply 0.75471×270=203.77

Since the problem asks us to round to the nearest whole number, b=204

Hope this helps! :)

3 0
2 years ago
Solve the system by substitution.<br> y = 4x<br> y = 8x - 36
blagie [28]

Answer:

(9,36)

Step-by-step explanation:

Substitute the 4x for the y in second equation.

Basically setting them equal to each other because the both have 'y='

4x = 8x - 36

-4x  = -36 (subtract 8x from both sides)

x = 9         (divide by -4, both sides)

y = 4(9)     (Substitute the x value into first equation)

y = 36

8 0
3 years ago
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