Sammy is classifying quadrilateral EFGH. How can she use coordinate geometry to determine whether EFGH is a rhombus? E(2, 5), F(1, 3), G(2, 1), H(3, 3) Sammy can use the distance formula to show that the opposite sides have equal slopes. Sammy can use the distance formula to show that all sides are equal. Sammy can use the slope formula to show that the opposite sides have equal slopes. Sammy can use the slope formula to show that all sides are equal.

[tex]\dfrac{-4\tfrac13}{-\tfrac 34}\\\\\\=\dfrac{\tfrac{13}3}{\tfrac 34}\\\\\\=\dfrac{13}3 \times \dfrac 43\\\\\\=\dfrac{52}9\\\\\\=5 \dfrac 79[/tex]

Answer:

s < 50

Step-by-step explanation:

This is an inequality that can be used to express the amount of flowers planted. If Jones planted s flowers, Kerry planted 50, and Jones planted less flowers than Kerry, s must be less than 50.

Answer:

6

Step-by-step explanation:

1+3=4

8÷4=2

Kindergarten = 2×1 =2

Other class = 2×3=6

Ratio of kindergarten classes to other classes is 2:6

The measure of angle HIJ is 20°. The correct option is the last option 20°

From the question, we are to determine the measure of angle HIJ

From one of the Circle theorems, we have that

The angle at the center of a circle is twice the angle at any part of the circumference

From the information,

The measure of arc HJ is 40°. That is, the angle at the center is 40°.

Then, using the above theorem,

Measure of angle HIJ = 40° / 2

Measure of angle HIJ = 20°

Hence, the measure of angle HIJ is 20°. The correct option is the last option 20°

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Answer:

20°

Step-by-step explanation:

Answer:

6 units

Step-by-step explanation:

since the y- coordinates of both points are 7 then the horizontal distance between the points is the absolute value of the difference in the x- coordinates , that is

d = | 9 - 3 | = | 6 | = 6 units , or

d = | 3 - 9 | = | - 6 | = 6 units

Answer:

7

Step-by-step explanation:

you add all the numbers together and get 70, and then you divide that answer (70) by the amount of numbers that are listed (10), and you get the answer 7. Also if this is wrong its because i'm in class and about to leave so i'm in a rush.

Answer: (0, -6)

Step-by-step explanation:

The center is the midpoint of the diameter, meaning that the coordinates of Y must be (0, -6).

Answer:

37

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

substitute n = 5 into the explicit formula , then

a₅ = 4 + (5 + 1)(- 5) = 4 + 6(- 5) = 4 - 30 = - 26

Answer:

The first one is 24

Step-by-step explanation:

The second one is 1/16

so I have an idea first number five which is 3 / 1/8 which actually equals 24. and for number six the answer is 1/16

Answer:

f(x) = 23.5

Step-by-step explanation:

The slope when in the 4th quadrant is at 4,100

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

                 Simplify using the value of x. 2x/3, x=3.

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

[tex]\bigstar[/tex] Replace x with 3 and evaluate:-

[tex]\sf{\dfrac{2(3)}{3}}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\sf{\dfrac{6}{3}}[/tex]

[tex]\bigstar[/tex]  Which results in

[tex]\boxed{\bold{\underline{2}}}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

the answer is 2.. ......... .

Answer:

80 pupils

Step-by-step explanation:

60% of 200 is 120
200 - 120 is 80.

Answer: Y= -3/7+5

Step-by-step explanation:

Using Pythagoras theorem:-

H²= P²+ B²

Putting the value in equation

[tex] {x}^{2} = {5}^{2} + {3}^{2} \\ {x}^{2} = 25 + 9 \\ {x}^{2} = 34 \\ x = \sqrt{34} = 5.83[/tex]

Answer:

36

Step-by-step explanation:

A ratio 4:6 means the one quantity is 4/10 of the full thing:

While the other quantity is 6/10 of the full thing

So the smaller angle will be 4/10 of the the complementary angle.

Complementary angle is 90.

So 4/10 of 90 is 36.

[tex]\text{Given that,}~ (x_1 ,y_1) = (0,-4)~ \text{and}~ (x_2 ,y _2) = (30,-9)\\\\\text{Slope,}~ m = \dfrac{y_2-y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~~=\dfrac{-9-(-4)}{30-0}\\\\\\~~~~~~~~~~~~~=\dfrac{-9+4}{30}\\\\\\~~~~~~~~~~~~~=\dfrac{-5}{30}\\\\\\~~~~~~~~~~~~~=-\dfrac 16[/tex]

The slope of the line that passes through the points (0, -4) and (30, -9) is -1/6

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=(y₂-y₁)/(x₂-x₁)

x₁=0, y₁=-4, x₂=30, y₂=-9

Substitute in slope formula

m=(-9-(-4))/(30-0)

m=-9+4/30

m=-5/30

m=-1/6

Hence the slope of the line that passes through the points (0, -4) and (30, -9) is -1/6

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Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

let n be the number , then

[tex]\frac{1}{3}[/tex] n = [tex]\frac{1}{2}[/tex] ( multiply both sides by 3 )

n = 3 × [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{2}[/tex]

Answer:

Yes

Step-by-step explanation:

-52/4 = -(13 × 4)/4

Cancel out 4 we get,

-13 = -13

Thus, -52/4 = -13.

Answer:

D.the population change is inconsistent

Answer:

The slope of the line is: M = 0

Step-by-step explanation:

Using the "Slope from 2 points" formula which is \/

M = (y2 - y1) / (x2 - x1)

We just need to input the numbers to find the slope!
M = ( 1 - 1 ) / (1 - - 2 )

Now solve within the parentheses:

M = ( 0 ) / ( 3 )

Which is basically just 0.

I hope the formula: M = ( y2 - y1) / (x2 - x1)

Helps you in the future so you wont have to ask questions like this again.

Answer:

M+16m

Step-by-step explanation:

-9m+9 cancel eachother out because it is a negative and a postive value, so you would just put the variable. For 8m+8 it would be 16m because the sre both positive so you would add them like normal

Step-by-step explanation:

[tex] = ( - 9m + 9) + (8m + 8)[/tex]

[tex] = - 9m + 9 + 8m + 8[/tex]

[tex] = - 9m + 8m + 9 + 8[/tex]

= m + 17

hence m + 17 is the answer....

hope it helped !!!

Using the surface area of the sphere, it is found that the radius of the bearing that Helen needs to buy is of 6 millimeters.

The surface area of a sphere of radius r is given by:

[tex]S_A = 4\pi r^2[/tex]

In this problem, we have that:

[tex]S_A = 452.16[/tex]

Hence:

[tex]4\pi r^2 = 452.16[/tex]

[tex]r = \sqrt{\frac{452.16}{4\pi}}[/tex]

r = 6.

The radius of the bearing that Helen needs to buy is of 6 millimeters.

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Answer: 6

Step-by-step explanation: NOT NEEDED

Answer:

∠ FCE = 37°

Step-by-step explanation:

the secant- secant angle FCE is half the difference of the intercepted arcs, that is

∠ FCE = [tex]\frac{1}{2}[/tex] (BD - FE ) = [tex]\frac{1}{2}[/tex] (112 - 38)° = [tex]\frac{1}{2}[/tex] × 74° = 37°

Answer:

the distance is 4

Step-by-step explanation:

Answer:

9000 ft

Step-by-step explanation:

Given: A airplane is ascending at a constant rate of 15 feet per second,

What we need to know: The change in altitude during 10 minutes of flight,

60 seconds = 1 minute

60 × 10

= 600 seconds

600 × 15

= 9000 ft

Therefore there was a 9000 ft change in altitude during the 10 minutes of the flight.

Answer:6

Step-by-step explanation:

All radii of a circle are congruent.

The purchasing power of Sandra's savings according to the description above has decreased.

It follows from the task content that Sandra's savings attracted an annual interest rate of 1% while the inflation is 2% per annum. On this note, it follows that Sandra's savings purchasing power has reduced as the prices of commodities have gone up and the interest rate is unable to match it.

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