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3 years ago

This dot plot is not symmetric, and the data set has two

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

6 0

Answer:

Step-by-step explanation:

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On a coordinate plane, the location of 3 points are: (0, 6). (5. -4), and (-1-5). Where would the fourth point need to be locate

mario62 [17]

Given:

The three vertices of parallelogram are (0,6),(5,-4),(-1,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Consider the given vertices of parallelogram are A(0,6), B(5,-4), C(-1,-5).

Let the fourth vertex be D(a,b).

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

We know that the diagonal of parallelogram bisect each other. It means their midpoints are same.

Midpoint of AC = Midpoint of BD

$\left(\dfrac{0+(-1)}{2},\dfrac{6+(-5)}{2}\right)=\left(\dfrac{5+a}{2},\dfrac{-4+b}{2}\right)$

$\left(\dfrac{-1}{2},\dfrac{1}{2}\right)=\left(\dfrac{5+a}{2},\dfrac{-4+b}{2}\right)$

On comparing both sides, we get

$\dfrac{5+a}{2}=-\dfrac{1}{2}$

$5+a=-1$

$a=-1-5$

$a=-6$

And,

$\dfrac{-4+b}{2}=\dfrac{1}{2}$

$-4+b=1$

$b=1+4$

$b=5$

Therefore, the coordinates of fourth vertex are (-6,5).

8 0

3 years ago

What is log39 = x in exponential form?

rodikova [14]

Answer:

9 = $3^{x}$

Step-by-step explanation:

Using the rule of logarithms

$log_{b}$ x = n ⇔ x = $b^{n}$

Given

$log_{3}$ 9 = x ⇔ 9 = $3^{x}$ ← in exponential form

3 0

3 years ago

Read 2 more answers

For the remaining three problems, write always, sometimes, or never. If it is always true, give the property or two examples. If

Oduvanchick [21]

$x+x=2x\\
2x=2x$

Always true.

5 0

4 years ago

Keiko, Abdul, and Bob have a total of $82 in their wallets. Keiko has $7 more than Abdul. Bob has 3 times what Abdul has. How mu

dlinn [17]

Answer:

abdul has 15

keiko has 22

bob has 45

Step-by-step explanation:

82= a+7+3a+a

75=a+3a+a

75=5a

15=a

15=abdul

15+7=keiko

3(15)=bob

8 0

3 years ago

Find x<br><br> May I please receive help?

NikAS [45]

Answer:

x = 63°

Step-by-step explanation:

See the attachment

The measure of the angles in a triangle = 180 . If the sides of a triangle are congruent, then the base angles are equal. So in the triangle with the 72°, you have another angles = 72°. Looking at the same triangle, 72° + 72° + part of the right angle = 180°. Do the math! 72° + 72° = 140°; 180° -144° = 36° (this is the measure of the piece of the right angle that is in the triangle with the 72° angle.. So the other part of the 90°(right angle) = 90° - 36° = 54°.

Now to solve for x: You know that if the sides are congruent in a triangle, then the base angles are equal. Thus this triangle angles are x, x, and 54°.

You know that a triangle = 180°, so x + x + 54° = 180°; 2x +54° = 180°; 2x = 126°; x = 63°

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6 0

3 years ago

Read 2 more answers