In quadrilateral PQRS, the exterior angle at Q measures 155 and PS = QR. What measure of ∠PSR would confirm that PQRS is a parallelogram?

Answer:

point-slope form is : y - y1 = m(x -x1) where m is the slope and y1 and x1 is the point. plug in the given values. since the question wants it in point-slope, you leave it as is.

y - 5 = 1/3 (x - (-2))

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

First, there must be at least 3 pounds of apples in the basket. Apples are the first number, so B and D are our options. As it is impossible to have a negative weight of oranges, D is our answer

The point that represents a viable solution is D(4, 3).

At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.

The graph shows the system of inequalities:

x + y ≤ 14

x ≥ 3

y ≥ 0

where x is the weight of the apples and y is the weight of the oranges.

We need to find the point that represents a viable solution, which means it should satisfy all three inequalities.

Let's check each option:

A(2, 9):

2 + 9 ≤ 14 (satisfied)

2 < 3 (not satisfied)

9 ≥ 0 (satisfied)

A(2, 9) does not satisfy the second inequality, so it is not a viable solution.

B(3, -2):

3 + (-2) ≤ 14 (satisfied)

3 ≥ 3 (satisfied)

-2 ≥ 0 (not satisfied)

B(3, -2) does not satisfy the third inequality, so it is not a viable solution.

C(1, 14):

1 + 14 ≤ 14 (not satisfied)

1 ≥ 3 (not satisfied)

14 ≥ 0 (satisfied)

C(1, 14) does not satisfy the first inequality, so it is not a viable solution.

D(4, 3):

4 + 3 ≤ 14 (satisfied)

4 ≥ 3 (satisfied)

3 ≥ 0 (satisfied)

D(4, 3) satisfies all three inequalities, so it represents a viable solution.

Therefore, the point that represents a viable solution is D(4, 3).

To learn more about the systems of inequalities;

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Answer:

6 girls - 3 boys

Step-by-step explanation:

Answer:

6girls - 3 boys

Step-by-step explanation:

4 girls + 2 girls =6 girls

you cant mix girls and boys so you still have 3 boys

Answer:

what the question

.

.

.

.

.

Step-by-step explanation:

The sum of two opposite interior angles equals an exterior angle

50+?=115

?=115-50=65°

Answer:

60 degrees

Step-by-step explanation:

angles on a straight line add up to 180 degrees.

so do 180-115=60

because its an equilateral triangle, you can check whether it adds up to 180

60+60+50=180

please mark me as brainliest!!<3

Step-by-step explanation:

subtract b to get P-b=2a. divide each side by 2 to get (P-b)/2=a

Answer:

25%

Step-by-step explanation:

Given that,

Initial cost of a t-shirt = $30

Final cost of a t-shirt = $37.50

We need to find percent of change. The percentage change in any value is given by :

[tex]\%=\dfrac{\text{final value-initial value}}{\text{initial value}}\times 100\\\\=\dfrac{37.5-30}{30}\times 100\\\\=25\%[/tex]

Hence, the percentage error is 25%.

Answer: it would be a

Step-by-step explanation:

from my understanding you look at the sides and a traingale has 360 in total of the area.

so

Answer:

3

Step-by-step explanation:

If you substitute the values x = 0 and y = −5 into the second equation, you get a false statement: 2(−5) − 10 = 2(0). To solve this system, try rewriting the first equation as x = 2y − 8. Then substitute 2y − 8 in for x in the second equation, and solve for y. The correct answer is x = −2, y = 3.

Not what I really think it might be, but I hope it helped you!

The input value that gives an output of 19 is not listed in the answer choices. None of the options are correct.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
We can start by setting up the equation:

2x² + 3x + 5 = 19

Subtracting 19 from both sides:

2x² + 3x - 14 = 0

(2x - 7)(x + 2) = 0

Using the zero product property, we can solve for x:

2x - 7 = 0 or x + 2 = 0

2x = 7 or x = -2

x = 7/2 or x = -2

Therefore, the input value could be either 7/2 or -2.

The answer choices do not include 7/2, but we can check both input values to see which one gives an output of 19:

f(7/2) = 2(7/2)^²+ 3(7/2) + 5 = 19.25

f(-2) = 2(-2)² + 3(-2) + 5 = 3

Thus, the input value that gives an output of 19 is not listed in the answer choices.

Learn more about Factors here:

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Answer:

48v - 16x + 32

Step-by-step explanation:

Answer: Its the last one trust me

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

f(x) = (x-5)²+1

put x = 2

f(2) = (2-5)²+1 = (-3)²+1 = 9+1 = 10

put x = 3

f(3) = (3-5)²+1 = (-2)²+1 = 4+1 = 5

put x = 4

f(4) = (4-5)²+1 = (-1)²+1 = 1+1 = 2

put x = 5

f(5) = (5-5)²+1 = (0)²+1 = 0 + 1 = 1

put x = 6

f(5) = (6-5)²+1 = (1)²+1 = 1 + 1 = 2

Thus, the table wil be completed as:

x           2         3       4         5        6

f(x)         10        5       2         1        2

Please check the attached figure for the plotting graph.  

Answer:

He is correct^^^^^^

Step-by-step explanation:

just took the test

Answer: 11,600

you multiply 58,000 by 0.8 and you’d get 46,400. then you would subtract that number by 58,000 to get the answer of 11,600.

Answer:

y=-2x+5

Step-by-step explanation:

Answer:

y=-2x+5

Step-by-step explanation:

First, subtract 4x from both sides. You will get 2y=-4x+10. Then divide both sides by 2 to isolate the y. You will get y=-2x+5.

Answer:

-2.6

Step-by-step explanation:

3x+2x+9=10-14

5x+9=10-14

5x+9=-4

5x=-4-9

5x=-13

x=-13/5

x=-2.6

Answer:

9/1 = 0.9

2 = 2.0

3 1/10 = 3.1

10 = 100

Step-by-step explanation:

Answer:

congruent means similar

Step-by-step explanation:

why didnt you just search it up? lol

congruent means that they are perfectly identical.

Answer:

the answer is b

Step-by-step explanation:

12:

Step-by-step explanation:

Answer:

1200 inc^3

Length x width x height

10 x 8 x 15= 1200

Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else

Step-by-step explanation:

Answer:

3. H

4.O

5.O

6.O

Step-by-step explanation:

Oblique asymptote: When the numerators highest exponent is 1 more than the denominators highest exponent. (x^2 is higher than x^1)

Horizontal asymptote: When the exponents are equal. (x = x, x^2 = x^2)

Sorry I don't know how to do the second part but I hope this helps.

Answer:

Step-by-step explanation:

fixed cost = 100

variable cost = 13

soooo....

cost =  (13x + 100)/x

the questions wants to know  when cost  < 22.50

22.5 > (13x+100)/x

look at graph attached ;)

it looks to me like it's at 11

22.5 > (13(11) + 100) / 11

22.5 > 22.09

try 10

22.5 > (13(10) +100)/10

22.5  > 23   not true  so yes.. 11 is when the cost goes below 22.50

Answer:

Y’all the correct answer is 10

Answer:

the answer is the first one hope this helps

Step-by-step explanation:

Answer:

2nd option is the right answer

Answer:

46,691

Step-by-step explanation:

Given that:

Initial population, P = 51000

Decreasing rate = 1.75% = 0.0175

Time, t = 5 years

Using the relation :

A (t) = Po * ( 1 - r)^t

A(t) population after t years

Po = Initial population figure

r = rate of decrease

A(t) = 51000 * (1 - 0.0175)^5

A(t) = 51000 * (0.9825)^5

A(t) = 51000 * 0.91550937355400390625

A(t) = 46690.9780

Hence, population after 5 years will be : 46,691

Answer:

The answer is 200

Step-by-step explanation:

Answer:

Option C.

Ground level = 0 foot

Hole = -3 feet

Dirt pile = 3 feet