1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?

Answer:

C I did the test sorry if im wrong

Step-by-step explanation:

<3 Goodluck

Answer:

The measure of ∠ZPX is 63°

Step-by-step explanation:

The given parameters are;

The incenter of the triangle = P

m∠KXP = 31°, m∠PYJ = 27°, [tex]\overline {ZP}[/tex] = 20 feet

Given that the segment [tex]\overline {XJ}[/tex] from the vertex, X, passes through the incenter of the triangle, we have;

The segment [tex]\overline {XJ}[/tex] bisects ∠KXL to form ∠KXP and ∠LXP

Therefore, ∠KXP = ∠LXP = 31°

∠KXL = ∠KXP + ∠LXP = 31° + 31° = 62°

∠KXL = 62°

Similarly;

The segment [tex]\overline {YL}[/tex] bisects ∠KYJ to form ∠PYJ and ∠PYK

Therefore, ∠PYJ = ∠PYK = 27°

∠KYJ = ∠PYJ  + ∠PYK = 27° + 27° = 54°

∠KYJ = 54°

In ΔXYZ, we have, ∠LZJ + ∠KYJ + ∠KXL = 180° based on the sum of the interior angles of a triangle postulate

∴ ∠LZJ = 180° - (∠KYJ + ∠KXL) = 180° - (54° + 62°) = 64°

∠LZJ = 64°

The segment [tex]\overline {ZK}[/tex] bisects ∠LZJ to form ∠PZL and ∠PZJ

Therefore, ∠PZL = ∠PZJ

∠LZJ = ∠PZL + ∠PZJ = 2 × ∠PZL = 64°

∠PZL = 64°/2 = 32° = ∠PZJ

In ΔZPX, we have;

∠PZL + ∠LXP + ∠ZPX = 180° based on the sum of the interior angles of a triangle postulate

∠ZPX = 180° - (∠PZL + ∠LXP) = 180° - (32° + 31°) = 63°

∠ZPX = 63°

The measure of ∠ZPX = 63°

Answer:

1,4

2,3

1,6

6,7

5,8

5,2

1,6

7,2

8,1

3,6

4,5

1,5

2,6

3,7

4,8

Step-by-step explanation:

Alternate interior, exterior, vertical, and complemetary angles are congruent.

The pairs of congruent angles ​are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

From the given figure,

Vertically opposite angles:

∠1≅∠4

∠2≅∠3

∠5≅∠8

∠6≅∠7

Alternate interior angles:

∠3≅∠6

∠4≅∠5

Alternate exterior angles:

∠1≅∠8

∠2≅∠7

Corresponding angles:

∠1≅∠5

∠2≅∠6

∠4≅∠8

∠3≅∠7

Therefore, the pairs of congruent angles ​are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.

Learn more about the parallel line angles here:

https://brainly.com/question/17237586.

#SPJ1

Answer:

Step-by-step explanation:

Given m=-3/5 ; c = -2

y =mx + c

y= (-3/5)x -2

Answer:

I got -18y^7 + 21y^6 + 9y^5

Step-by-step explanation:

Answer:

y = - [tex]\frac{28}{5}[/tex]

Step-by-step explanation:

Given y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 7 when x = - 4, then

7 = [tex]\frac{k}{-4}[/tex] ( multiply both sides by - 4 )

- 28 = k

y = [tex]\frac{-28}{x}[/tex] ← equation of variation

When x = 5 , then

y = [tex]\frac{-28}{5}[/tex] = - [tex]\frac{28}{5}[/tex]

Answer:A

Step-by-step explanation:

Answer:

D ) 25t + 10

Step-by-step explanation:

Re-order terms so constants are on the left:

(5t+2) 5

5 (5t +2)

Distribute:

5 (5t +2)

25t +10

Answer:

25t +10

Answer:

i believe their proportional

Step-by-step explanation:

cause they have a linear function

Answer:

b.

a.

c.

d.

Step-by-step explanation:

a .20x10=2.00

b .20

c 8.66

d 86.6

Answer:

B

A

C

D

Step-by-step explanation:

This are from the lowest to greatest.

Answer:

B. 4/3 is your answer dear.

Step-by-step explanation:

Solve

2/3 * 2/1

coz it is reciprocal .

you'll get 4/3

Hope you got it.

Answer:

F(1) represents the first term of the sequence.

Step-by-step explanation:

Let us suppose the sequence function

[tex]F(n) = 16-3n[/tex]

We can find the first term of the sequence by substituting n=1 in the function sequence

[tex]F(1) = 16-3(1)[/tex]

        [tex]= 16-3[/tex]

        [tex]=13[/tex]

We can find the 2nd term of the sequence by substituting n=2 in the function sequence

[tex]F(2) = 16-3(2)[/tex]

        [tex]= 16-6[/tex]

        [tex]=10[/tex]

We can find the 3rd term of the sequence by substituting n=3 in the function sequence

[tex]F(3) = 16-3(3)[/tex]

        [tex]= 16-9[/tex]

        [tex]=7[/tex]

So the first three terms of the sequence is:

13, 10, 7...

As the common difference is the same.

i.e. d = 10-13 = -3, d = 7-10 = -3

Hence, it is an Arithmetic sequence.

As the first term is 13, which can be obtained by putting n=1 in the function sequence.

Therefore, from the above discussion, we can conclude that F(1) represents the first term of the sequence.

Given :

John has 3 ½ = 7/2 pounds of Skittles.

He decides to give ¾ pounds of Skittles to each friend.

To Find :

How much the leftover Skittles are.

Solution :

Let, his number of bands are x.

So, amount of Skittles left is :

[tex]L= \dfrac{7}{2}-\dfrac{3x}{4}\\\\L = \dfrac{24-3x}{4}[/tex]

Therefore, amount of leftover Skittles are [tex]\dfrac{24-3x}{4}[/tex] pounds if number of friends are x.

Hence, this is the required solution.

Answer: 12 days

Step-by-step explanation:

3.87/3=1.29 liters of jam in 1 day

1.29*12=15.48 liters in 12 days

Answer:

12 days

Step-by-step explanation:

Answer: there is no question. Its empty

Step-by-step explanation:

Answer:

with what

Step-by-step explanation:

Answer:

27.74 is the difference

Step-by-step explanation:

23.3° C - (-4.44° C)

23.3 + 4.44

27.74

Given :

The population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001.

[tex]p(t) = \dfrac{1125}{1+12e^{-0.17t}}[/tex]    ...1)

To Find :

Find the number of fish is the pond in 2014.

Solution :

Number of years, t = 2014 - 2001 = 13.

Putting value of t in equation 1), we get :

[tex]p(t) = \dfrac{1125}{1+12e^{-0.17\times 13}}\\\\p(t) = 485.67[/tex]

p(t) ≈ 486

Therefore, number of fish in the pond in 2014 is 486.

Hence, this is the required solution.

Answer:

El tercer ángulo es 80

Step-by-step explanation:

En un triángulo hay 3 ángulos. Cuando sumas todos los ángulos, es igual a 180. Entonces, para esto, todo lo que tienes que hacer es sumar 30 y 70, lo que te da 100. Luego, restar 100 de 180, lo que te da 80. Lo que significa que el tercer ángulo es 80 :)

Answer:

(5,1)

(3,4)

(2,2)

(1,5)

answers

105= 5×5×5

Step-by-step explanation:

priya is wrong because 105 factorism is 5×5×5

Answer:

105= 5×5×5

Step-by-step explanation:

Priya is wrong because 105 factorism is 5×5×5

Answer:

frame b because it takes up more room than the other some it forces the other to be smaller

Step-by-step explanation:

Answer:

Step-by-step explanation

It is Frame B trust me it is bigger.

Answer:

1) The graph is opening upwards

2) Axis of symmetry is x=-2

3) Vertex: (-2, 1) minimum y=1

4) y intercept is (0, 9)

5) domain: x|x ∈ R (All real numbers)

6) Range y|y ≥ 1

Answer:

Step-by-step explanation:

ANSWER:

average = total distance / time

average = 200/25 = 8 m /s

Answer:

c

Step-by-step explanation:

im right i took the test

Answer:

D

Step-by-step explanation:

6. 6

5. 5

3. 3

1. 1

1 output for each input

Answer:

The required equation of the graph with the coordinates of (4, -1) will be:

The graph is also attached.

Step-by-step explanation:

Given the coordinates (4, -1)

If we put the coordinate values (4, -1) in the given equations, we determine that only [tex]y=\left(x-4\right)^2-1[/tex] is the valid equation as it satisfies the given coordinate value.

For example, putting  (4, -1) in the equation

[tex]y=\left(x-4\right)^2-1[/tex]

[tex]\left(-1\right)=\left(4-4\right)^2-1[/tex]

[tex]-1=\left(0\right)^2-1[/tex]

[tex]-1=0-1[/tex]

[tex]-1=-1[/tex]

So, the equation [tex]y=\left(x-4\right)^2-1[/tex] is true for the coordinate values (4, -1).

Therefore, the required equation of the graph with the coordinates of (4, -1) will be:

Please check, the graph is also attached.

Answer:

The regular price of the balls is $8

Step-by-step explanation:

The sporting goods store sales promotion is as follows;

The price of the third ball after buying two balls at regular price = $1.00

The price of the number of balls Coach John pays for the balls he bought = $136

To buy 24 balls, we have;

2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1

Therefore;

The number of balls bought at regular price = The sum of the 2s = 16 balls

The number of balls bought for $1 = 24 - 16 = 8 balls

Let x represent the regular price of the balls, we have;

16 × x + 8 = 136

16·x = 138 - 8 = 128

x = 128/16 = 8

The regular price of the balls = x = $8.

Answer:

Look below :)

Step-by-step explanation:

1. coefficient

2. constant (it's referred to as a constant because the value never changes)

3. This polynomial has 4 terms. We know this by counting them. 5x^3 is one term, -x^2 is the second term, 5x is the third term, and -8 is the fourth term.

4. In descending order: 2, 1, 3, 4. The degree is the same value as the exponent. For the last term, x^2y^2, you add the values of the exponents together to get the degree.

5. -2 is the coefficient. The term with the third degree, or has 3 as the exponent, is -2x^3.

6. 1 is the coefficient. The term with the second degree is x^2. When the coefficient is 1, usually the 1 isn't written because any number multiplied by 1 equals that number (x * 1 = x)

7. 5 is the degree of the polynomial. To find the degree of a polynomial, find whichever term has the highest value for an exponent. In this case, 5 is the highest exponent.

8. 2 is the degree of this polynomial. Although none of the terms may look like they have a degree of 2, in order to find the actual degree of 4xy you have to add the values of the degree of x and y to find the actual degree. If x and y both have a degree of 1, you add those together to make 2.

9. 2[tex]x^{3}[/tex] - 7[tex]x^{2}[/tex] + 5x - 15. To order a polynomial from highest to lowest you have to order the terms in decreasing value of their exponents.

10. -4[tex]x^{3} y[/tex] + 2xy + 5x + 7.

I hope this helps :)