2 1/4 + 3/4 =<br>276x40

Directions: Complete all 3 questions. Make sure you include a graph, work and conclusion.

Simora [160]

Prove that the quadrilateral whose vertices are I(-2,3), J(2,6), K(7,6), and L(3, 3) is a rhombus.

I think in these problems the first step is to express each side as a vector. A vector is the difference between points. When two sides have the same vector (or negatives) it means they're parallel and congruent. So in a rhombus IJKL the vectors IJ and LK should be the same, as should JK and IL. That much assures a parallelogram; we check IJ and JK are congruent to complete the crowing of the rhombus.

Let's calculate these vectors:

IJ = J - I = (2,6) - (-2,3) = (2 - -2, 6 - 3) = (4, 3)

LK = K - L = (7, 6) - (3, 3) = (4, 3)

IJ = LK, so far so good

(Note: If you haven't got to vectors yet you can just show the two sides are the same length, 5, and have the same slope, 3/4, both of which can be read off the vectors.)

JK = K - J = (7,6) - (2,6) = (5,0)

IL = L - I = (3, 3) - (-2, 3) = (5, 0)

Those are the same too.

Now we have to show IJ ≅ JK

The length of IJ is the cliche √4²+3² = 5, the same as JK, so IJ ≅ JK

We showed all four sides are congruent and we have two pair of parallel sides, so we have a rhombus.

8 0

4 years ago

What type of triangle is this triangle?

olga2289 [7]

It’s isosceles because 2 acute angles and one 90 degree angle makes an isosceles triangle

8 0

2 years ago

one cubic foot of chemical weighs 60 pounds. How many pounds of the chemical can a container withe these dimensions hold? Pictur

Goshia [24]

Answer:

3600 pounds

Step-by-step explanation:

One cubic foot of a chemical weighs 60 pounds.

1 ft³ of chemical = 60 pounds

We need to find how many pounds in the container whose dimension 6 ft, 4 ft and 2.5 ft

l = 6 ft

b = 4 ft

h = 2.5 ft

Volume of box = lbh

= 6 x 4 x 2.5

= 60 ft³

As we are given

1 ft³ of chemical = 60 pounds

60 ft³ of chemical = 60 x 60 = 3600 pounds

8 0

3 years ago

Read 2 more answers

SOLVE FOR X SHOW YOUR WORK PLZ 10x-15=35 X=?

Charra [1.4K]

Answer:

x =5

Step-by-step explanation:

10x-15=35

We want to get x alone

Add 15 to each side

10x-15+15=35+15

10x = 50

Divide by 10

10x/10 = 50/10

x =5

8 0

3 years ago

Read 2 more answers

Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and stand

Fed [463]

Answer:

1. $29.4 million

2. 145.24

3. 145.24

4. 12.05

5. D. No, because the sample is not representative of the whole population.

Step-by-step explanation:

1. The computation of range of the sample data is shown below:-

Range of the sample data = Maximum value - Minimum value

= 42 - 12.6

= $29.4 million

2. For the computation of variance of the sample data first, we need to find out the mean which is shown below:-

Mean = $\frac{(42 + 40 + 39 + 32 + 21 + 18 + 16 + 14 + 13.7 + 12.6) }{10}$

= 24.83

The Variance of the sample data

= $\frac{(42 - 24.83)^2 + ..... + (12.6 - 24.93)^2}{10 - 1}$

= $\frac{1307.161}{9}$

= 145.24

3. The computation of the standard deviation of the sample data is shown below:-

The Standard deviation of the sample

= $\sqrt{145.24}$

= $12.05155592

or

$12.05

4. No, as the sample does not represent the whole population.

8 0

3 years ago

2 1/4 + 3/4 =276x40​

2 1/4 + 3/4 =276x40