Describe the process of creating a linear equation using two points and the point-slope form

Answer:

As the opposite angles of a cyclic quadrilateral, A is supplementary with C and B is supplementary with D.

In the trapezoid,  angle A is supplementary with D and angle B is  supplementary with C.

It means ∠A ≅ ∠B and ∠D ≅ ∠C

Now, ∠ABD ≅ ∠ACD as both angles intercept same arc AD.

So we have:

So angles B and A are 107° and angles D and C are 73°

PXR is exterior angle of triangle XSR.

Angles Q and S are supplementary as opposite angles of a cyclic quadrilateral QPSR.

Answer:

7.2

Step-by-step explanation:

5y = 5 *7.2 = 36

36 ÷ 6 = 6

So, y = 7.2

Answer:

$1.25

Step-by-step explanation:

2 × $1 = $2

4 × 1 = 4

1 × 1 = 10

$2 + 4 + 10

$2.14

$2.14 - $0.89

$1.25

Step-by-step explanation:

Dividing the shape into two:

The area of the rectangle is

A= 13.5*4.8= 64.8km2

the area of the triangle

A = [( 5.7-4.8) *13.5 ]/ 2= 6.075km2

Therefore the total area is

At = 64.8 + 6.075 = 70.875km2

Answer:

25

Step-by-step explanation:

The median of a trapezoid equals one half of the sum of the bases

AC is a median and EB and DF are the bases.

hence AC = 1/2(EB + DF)

We are given that EB = 13 and that AC = 19. And we need to find DF

To do so we plug in what we are given and solve for DF

AC = 1/2(EB + DF)

AC = 19, EB = 13

19 = 1/2(13 + DF)

Now solve for DF

* Multiply both sides by 2*

19 * 2 = 38

1/2(13 + DF) * 2 ( the 1/2 and 2 cancel out and we're left with 13 + DF )

We then have 38 = 13 + DF

* Subtract 13 from both sides *

38 - 13 = 13 - 13 + DF

We get that DF = 25

Answer:

the second one from top coz it is pointed on 2 so dollar 2

Answer:

6, 5, 4

Step-by-step explanation:

Midpoint is exactly half so it would be half the value of triangle ABC's value

12/2=6

10/2=5

8/2=4

Answer:

25.

Step-by-step explanation:

For each of the 5 numbers on the first spinner there could be any one of the 5 colours on the other spinner.

So possible outcomes = 5 * 5.

The possible outcomes of the given sample space are 25.

We have given that,

You spin a spinner numbered from 1 to 5 and spin another spinner with the colors blue, orange, yellow, green, and red.

A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol S.

For each of the 5 numbers on the first spinner, there could be any one of the 5 colors on the other spinner.

So possible outcomes = 5 * 5.

Therefore, The possible outcomes of the given the sample space is 25.

To learn more about the sample space visit:

https://brainly.com/question/9222927

#SPJ2

Answer:

6 3/10 box

Step-by-step explanation:

7/10 box * 9 = 63/10 box = 6 3/10 box

Answer:

one

Step-by-step explanation:

If two lines are not parallel, they will intersect one time as shown by the graph given.

Where the two graphs intersect is the solution to the system.

Answer:

3131 meters

3332 - 210 = 3122

3122 +9 = 3131 meters

Step-by-step explanation:

Answer:

You can buy 40 tacos

You have enough money

Step-by-step explanation:

Given

[tex]Amount = \$20[/tex]

[tex]Taco = 20[/tex]

[tex]Unit\ Cost = \$0.50[/tex] --- missing from the question

Required

Determine if you have enough amount

The number of Tacos that $20 can afford is calculated as:

[tex]Tacos = \frac{Amount}{Unit\ Cost}[/tex]

So, we have:

[tex]Tacos = \frac{20}{0.50}[/tex]

[tex]Tacos = 40[/tex]

[tex]40 > 37[/tex] -- i.e. the number of Tacos will go round the 37 students

Hence, you have enough money

Answer:

Option D

Step-by-step explanation:

Alternate Interior angles are angles that are on the opposite sides of the transversal line (which is the line that cuts across the two parallel lines) and are on the inside of the two parallel lines which in this case is Option D.

Answer:

The answer is [tex]3^{-1/3}[/tex]

Step-by-step explanation:

Answer:

=51.63 m^2

Step-by-step explanation:

First find the area of the triangle

A = 1/2 bh = 1/2(3) * 5 = 7.5

Then find the area of the rectangle

A = l*w = 5*6 = 30

Then find the area of the semi circle, which is 1/2 the area of the circle

The diameter is 6 so the radius is 3

A = 1/2  pi r^2 = 1/2 (3.14) (3) ^2 = 14.13

Add the areas together for the total area

7.5+30+14.13

=51.63

Answer:

3) 16π cm²

4) 240.625 cm²

Step-by-step explanation:

3. For this problem I'm going to use the formula Area = π × r²

To start off, I'm going to input our value of radius which is 4cm.

π × 4²

Finally, I'm going to square our value "4"

16π cm²

(I'm going to "leave my answer in terms of π" as the problem states but if you need the complete answer it would be about 50.24 cm²

4. For this problem I'm going to use the formula Area = π × (d/2)²

To begin, I will divide our diameter by 2 to find the radius.

17.5/2 = 8.75

Next, we are going to square our now, radius.

8.75² = 76.5625

Now, we have to multiply our squared radius by π (in this problem it states to use 22/7, so that's what we'll do :)

76.5625 × 22/7 = 240.625 cm²

So! This is our final answer!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer

(36)^1/2=(2^5)^1/2=6

Explanation

36 is equivalent to 2^5.

36^1/2 is equivalent to 6. The numerator of the fraction is the power and the denominator is the root. 36^1/2 is the same thing as the square root of 36, which is 6.

Answer:

D. it is the point where the three angle bisectors of the triangle intersect.

Step-by-step explanation:

Because in geometry the incenter of a triangle is deliberated as the center of a triangle.

Answer:

EX = 51

Step-by-step explanation:

The 3 intersecting lines in the triangle are medians.

The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, that is

EJ = 2 JX = 2 × 17 = 34 , then

EX = EJ + JX = 34 + 17 = 51

Answer:

Yes

Step-by-step explanation:

Mathematically, when points are co-planar, what it means is that they exist in the same plane

Now, looking at the 4 points, we can see that they exist on the same x-like plane that is both perpendicular to like H through C

Hence, we can simply opine that these points exist in the same plane and are essentially co-planar

Answer:

[tex]\boxed{ \sf Cuts \ x-axis \ at \ (9,0 ).}[/tex]

[tex]\boxed{ \sf Cuts \ y-axis \ at \ (0,6).}[/tex]

Step-by-step explanation:

We need to graph a linear equation and we need to find the point on which it crosses the x and y axis . The given equation is,

[tex]\sf\longrightarrow 2x + 3y = 18 [/tex]

For graphing it's line we need at least two points . hair we can find out the points on which it cuts the x and y axis and then using those two points we can plot its graph.

Step 1 : Put x = 0 in the equation :-

[tex]\sf\longrightarrow 2*0 + 3y = 18 [/tex]

Simplify ,

[tex]\sf\longrightarrow 0 + 3y = 18[/tex]

Add ,

[tex]\sf\longrightarrow 3y = 18[/tex]

Divide both sides by 3 ,

[tex]\sf\longrightarrow \underline{\purple{ y = 6}}[/tex]

Step 2: Put y = 0 in the equation :-

[tex]\sf\longrightarrow 2x + 3*0 = 18 [/tex]

Simplify ,

[tex]\sf\longrightarrow 2x = 18 [/tex]

Divide both sides by 2 ,

[tex]\sf\longrightarrow \underline {\purple{x = 9}}[/tex]

Hence the line cuts y axis on (0,6) and on x axis at (9,0) . Now these two points plot the graph . [ Graph is in attachment ]

Answer:

True

Step-by-step explanation:

Two angles form a pair of complementary angles

Answer:

No, P(high school | GPA above 3.0) ≠ P(high school)

Step-by-step explanation:

Given

See attachment for table

Required

Determine if High school and GPA above 3.0 are independent

Let

[tex]H \to[/tex] High school

[tex]G \to[/tex] GPA above 3.0

For both events to be independent, the following must be true

[tex]P(H\ |\ G) = P(H)[/tex]

From the table:

[tex]P(H) = \frac{H}{Total}[/tex]

[tex]P(H) = \frac{60}{100} = 0.60[/tex]

[tex]P(H | G) = \frac{H\ n\ G}{G}[/tex]

[tex]P(H | G) = \frac{14}{40} = 0.35[/tex]

The test for independence is as follows:

[tex]P(H\ |\ G) = P(H)[/tex]

By comparison

[tex]P(H\ |\ G) \ne P(H)[/tex]

i.e.

[tex]0.35 \ne 0.60[/tex]

Hence, both events are not independent

Answer:

1 meter

Step-by-step explanation:

Previous spot of the eagle = 9 meters below him

Present spot of the eagle = 8 meters below him

What is the difference from earlier to now?

Diffetence in the spotting = Earlier position - present position

= 9 meters - 8 meters

= 1 meter

Answer:

[tex]g(x)=x^2+6[/tex]

Step-by-step explanation:

Hi there!

We're given [tex]f(x)=x^2[/tex], and that [tex]g(x)[/tex] is a translation of [tex]f(x)[/tex] 6 units up.

This means that [tex]g(x)=f(x)+6[/tex].

[tex]g(x)=f(x)+6[/tex]

Rewrite the equation

[tex]g(x)=x^2+6[/tex]

This would be our final equation. It does not look like the form [tex]a(x-h)^2+k[/tex], However, when rewritten as [tex]g(x)=1(x-0)^2+6[/tex], we can tell clearly that it is.

I hope this helps!

Answer:

Step-by-step explanation:

Comparing the triangles in the given questions, the following can be deduced:

5. The scale factor = [tex]\frac{15}{10}[/tex] = [tex]\frac{12}{8}[/tex] ≠ [tex]\frac{9}{7}[/tex]

So that;

QR is similar to UT, PR is similar to US, but PQ is NOT similar to TS.

Thus, the triangles are NOT similar.

6. Scale factor = [tex]\frac{15}{10}[/tex] = [tex]\frac{12}{8}[/tex] = [tex]\frac{9}{6}[/tex]

                         = 1.5

So that;

QR is similar to UT, PR is similar to US, but PQ is similar to TS.

Thus, the triangles are similar by Side-Side-Side (SSS).

7. Here, an exact scale factor can not be determined. Thus, the triangles are NOT similar.

Answer:

y=mx+b

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

y = kx+b

Most people write this

y = mx+b where m is the slope and b is the y intercept

Answer:

Step-by-step explanation:

Answer:

You can manipulate both equations into y = mx + b format and end up with the same result of y = 1.2x + 1.4

Step-by-step explanation:

y + 1 = 1.2(x + 2)

y = 1.2x + 2.4 - 1

y = 1.2x + 1.4

y - 5 = 1.2(x - 3)

y = 1.2x - 3.6 + 5

y = 1.2x + 1.4

So essentially, they're the same equation but in different forms.

Answer:

x = 8

x = -10

Step-by-step explanation: