Find the measure of angle A.
x + 47
780
x + 61
A) 31°
B) 44°
C) 51°

Answer:

The other end of the line segment is at (-8, 3)

Step-by-step explanation:

Since we know one end point and the midpoint, all we need to do is take the vector from the end point to the midpoint, and add it again to the midpoint to find the other end point:

dx = -5 - (-2) = -3

dy = -1 - (-5) = 4

-5 + dx = -8

-1 + dx = 3

So the other end of the line segment is at (-8, 3)

If a segment has an endpoint at (-2, -5) and a midpoint at (-5, -1), the coordinates of the other endpoint are (-8, 3)

The midpoint of a line segment is given as:

[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]

One of the endpoints of the line segment is (-2, -5)

That is, [tex]x_1=-2, y_1=-5[/tex]

Let the coordinates of the other endpoint be [tex](x_2, y_2)[/tex]

Solving for [tex]x_1[/tex] and [tex]y_1[/tex] in  the equation:

[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]

[tex]-5=\frac{-2+x_2}{2} \\\\-2+x_2=-5(2)\\\\x_2=-10+2\\\\x_2=-8[/tex]

Solve for [tex]y_2[/tex]

[tex]b=\frac{y_1+y_2}{2} \\\\-1=\frac{-5+y_2}{2} \\\\-2=-5+y_2\\\\y_2=-2+5\\\\y_2=3[/tex]

The coordinates of the other endpoint are (-8, 3)

Learn more here: https://brainly.com/question/20696453

The polygons that are regular are:

Triangle, Parallelogram, and Square.

Options A, B, and C are the correct answer.

It is a polygon having six faces.

The volume of a cube is side³.

We have,

A regular polygon is a polygon where all the sides are equal and the interior angles are equal.

Now,

Figure 1 is a triangle.

Figure 2 is a parallelogram.

Figure 3 is a square.

Figure 4 does not have the same side and the same interior angles.

Thus,
Figure 4 is not a regular polygon.

Learn more about cubes here:

https://brainly.com/question/11168779

#SPJ2

Answer: 5 weeks

Step-by-step explanation:

In the 1 week he was on vacation, Nolan was able to buy 3 postcards.

The rate he is buying postcards is therefore 3 per week.

If he needed to buy 15, he would need to be there for:

= 15 postcards/ 3 postcards a week

= 5 weeks

Answer: Each paper clip is [tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

Simply divide how long the notebook is, by how many paper clips there are, [tex]10\frac{2}3}[/tex] divided by 8.

This question is incomplete

The girls' swim team is hosting a fund raiser. They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items.

Write a system using c for candles and f for flowers.

Answer:

c + f ≤ 200

5c +6f ≥ 500

Step-by-step explanation:

Using

c for candles

f for flowers.

The girls estimate that at most they will sell 200 items.

At most is a statement that means : Less than or equal to with the inequality sign (≤)

Hence:

c + f ≤ 200

They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6.

At least is a statement that means : Greater than or equal to with the inequality sign (≥)

Hence:

$5 × c + $6 × f ≥ $500

5c + 6f ≥ 500

Therefore, the system of inequalities is given as:

c + f ≤ 200

5c + 6f ≥ 500

Answer:

Here's the proof

Step-by-step explanation:

tan(47°)/cot(43°)

=tan(90°-47°)/cot(43°)

=cot(43°)/cot(43°)

=1 (proven)

Answer:

Step-by-step explanation

Loll

Answer:

Step-by-step explanation:

we have a rectangle and a semicircle,

area rectangle=14*4=56

area of semicircle

diameter is 4, than r=2

A of the circle=3.14*r^2=3.14*4=12.56

we have a semicircle so we will divide the area by 2

A=12.56/2=6.28

total area=56+6.28=62.28

Answer:

The production cost is Rs 12,500

Step-by-step explanation:

Let the production cost be $x

At any point in time

sales price = cost price +( profit percentage* cost price)

Manufacturer gaining 6%

That would be;

x + 6% of x

x + 0.06x

= 1.06x

Wholesaler gaining 8%

= 1.06x + 8% of 1.06x

1.06x + 0.08(1.06x)

= 1.06x + 0.0848x

= 1.1448x

The for the retailer

= 1.1448x + 10% of 1.1448x

= 1.1448x + 0.11448x

= 1.25928x

1.25928x = 15,741

x = 15,741/1.25928

x = 12,500

Answer:

Since it is not an equation u wont get a numerical value

so basically its just fraction addition and subtraction

which is ((2/5)-(3/5)+(1/10))k

so answer is (-1/10)k

Step-by-step explanation:

[tex] \frac{2}{5} k \: - \frac{3}{5} + \frac{1}{10} k[/tex]

[tex] \frac{4}{10} k + \frac{1}{10} k - \frac{3}{5} [/tex]

[tex] \frac{5}{10} k - \frac{3}{5} [/tex]

[tex] \frac{k}{2} - \frac{3}{5} [/tex]

Answer:

yes, it is proportional because the slope is constant, and it is a linear equation

the unit rate is 25 x's per y

Step-by-step explanation:

Answer:

A≈254 cm^2

Step-by-step explanation:

The area of a circle is given by formula:  π r^2

π  has a constant value of  3.14  And the radius of the circle is  9 c m

the area= π r^2 = 3.14 x (9)^2 cm^2

= 3.14 × ( 81 )

= 254.34 c m^2

≈ 254 c m^2

Answer:

A. 13 lb, 35 lb, resultant force 30 lb, no; 20 lb, 15 lb, resultant 25 lb, yes

Step-by-step explanation:

From the given problem, I gather that there are only two groups of forces. These are:

13 lb, 35 lb, resultant force 30 lb

20 lb, 15 lb, resultant force 25 lb

We use the pythagorean theorem to determine if the three forces are grouped correctly, such that the resultant force is the hypotenuse.

Resultant Force = √(a² + b²)

So, for the first group,

30 ? √(13² + 35²)

30 ≠ 37.33

Thus, the first group does not pull at right angles to each other.

For the second group,

25 ? √(20² + 15²)

25 = 25

Thus, the second group does pull at right angles to each other.

Answer:

a) y = -6/x has a vertical asymptote at x = 0

b) y = 1/(2·x) - 1 has two asymptotes;

1) A vertical asymptote at x = 0

2) A horizontal asymptote at y = -1

Step-by-step explanation:

The asymptote is given as the line in which the distance between the graph and the line draws closer to zero as either the 'x', or 'y', or both 'x', and 'y', approaches infinity

a) The given equation is y = -6/x

Therefore, the function does not have a horizontal or oblique asymptote only a vertical asymptote at x = 0

b) The given equation is y = 1/(2·x) - 1

∴ y = (1 - 2·x)/(2·x)

The function has a vertical asymptote at x = 0

The function has an horizontal asymptote at y = -2/2 = -1

Answer:

250/30= 25/3

inverse of 25/3= 3/25

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

3 squared + 1, -2 +-3

10/-5= -2

Answer:

-2

Step-by-step explanation:

Answer:

(x +8) (x - 3)

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

P = 68.95

Step-by-step explanation:

Here, we want to get the measure of angle P

Please check the attachment for the diagram of the triangle

To get P, we use the cosine rule

p^2 = m^2 + n^2 - 2mn Cos P

60^2 = 51.4^2 + 54.5^2 -2(51.4)(54.5) Cos P

2012.21 = 5602.6 Cos P

cos P = 2012.21/5602.6

cos P = 0.3592

P = arc cos 0.3592

P = 68.95

Answer:

173x^2+107x+24

Step-by-step explanation:

9x-x^2+7x+8+10x-x^2+19x+8-x^2+26x+88x^2+10x+88x^2+26x+8

173x^2+107x+24

Answer: asically plot down each from the least

Step-by-step explanation:

Answer:

Step-by-step explanation:

at fourth column:

Answer:

there's no grid provided

Answer:

2.07 miles

Step-by-step explanation:

If Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course, the difference in the distance run by Heather and Steph is 3/3 - 3/9 = 1 - 1/3 = 2/3

Since a 5k run race is 3.1 miles, Heather goes 2/3 × 3.1 miles = 6.2/3 miles = 2.07 miles more than Steph.

Answer:

3 toothpaste

Step-by-step explanation:

Tube of toothpaste : year

1/2 : 1/3

how much toothpaste would he use in one year

Tube of toothpaste : year

x : 1

Seductions

1/2 : 1/3 = x : 1

1/2 ÷ 1/3 = x / 1

1/2 × 3/1 = x/2

3/2 = x/2

x = 3/2 ÷ 1/2

= 3/2 × 2/1

= 6/2

x = 3 toothpaste

Answer:

its 1  1/2

Step-by-step explanation:

Find Warren's rate in tubes of toothpaste per year. Divide  

1

2

of a tube of toothpaste by  

1

3

of a year.

To divide by  

1

3

, multiply by its reciprocal, 3.

1

2

÷

1

3

=  

1

2

3

=  

13

2

Simplify.

13

2

=  

3

2

= 1

1

2

Warren used the toothpaste at a rate of 1

1

2

tubes per year. So, he would use 1

1

2

tubes in 1 year.

Answer:

4........

plz follow me....

Answering:

Step-by-step explanation:

How to solve your question

Your question is

2

Answer:

The answer is above :)

Step-by-step explanation:

Hope i helped

Answer:

7x+14 I think is correct. it's just combining like terms

Answer:

-11

Step-by-step explanation:

Subtract 3 everytime

Answer:

-11

Step-by-step explanation:

coz

1-3= -2

-2-3= -5

-5-3= -8

-8-3= -11