What is an equation of the line that passes through the points (1, 4) and (3,0)?

⇒ ∠1 and ∠2 are angles lying on a straight line.

⇒This simply means that the sum of ∠1 and ∠2 since the straight line forms an angle of 180°

∠1+∠2=180°

⇒It is given that the measure of ∠2 is 60° more than ∠1

This means that to get ∠2 you have to add 60° in ∠1

As a conclusion we can say that ∠2=∠1+60°...(second equation to get ∠2)

⇒In the equation ∠1 +∠2=180°

⇒Substitute the value of ∠2 which is (∠1+60°)

∠1+(∠1+60°)=180°

⇒Now simplify to get the value of∠1

∠1+∠1=180°-60°

2(∠1)=120°

Note I got 2(∠1) since ∠1+∠1= 2× (∠1)

[tex]2( < 1)=120\\\frac{2( < 1)}{2} =\frac{120}{2} \\ < 1=60[/tex]

∠1 =60°

⇒Note from what we have now we can also get the value of∠2 but we were not asked to get it. Therefore we will  not.

Answer:

Step-by-step explanation:

Slope of the line =  y2 - y1 ÷ x2 - x1

           ====>     8 - (-6) / (-1) - 5

                       =   14 / -6 = -7 / 3

Answer:

Step-by-step explanation:

12/33

Answer:

Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42? … I hope it helps you

Step-by-step explanation:

Answer:

the person above is right

Step-by-step explanation:

Answer:

Route 5 10 to route 6

Step-by-step explanation:

^to the squre route 10+10

Answer:a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35

Step-by-step explanation:

Answer:

1 + 11 is 12

Step-by-step explanation:

Answer:

the first one perimeter is 36 if i remember

Step-by-step explanation:

Answer:

Part A: You are buying candy bars online. They cost $6 each and there is an $18 shipping fee. You have $72 to spend. How many candy bars can you get?

Part B: x=9

Step-by-step explanation:

6x + 18= 72

You want to get x alone:

Subtract 18 from both sides

Rewrite:

6x= 72-18

Now, subtract 72-18

Rewrite:

6x= 54

Divide 6 from both sides

So, that would be 54/6

Answer: x=9

Hope this helps!!

Answer:

Step-by-step explanation:

Answer: x=9

Answer:

The integer that makes the inequality false is D, 42

Step-by-step explanation:

Start the problem by expanding the inequality.

[tex]3\left(n-6\right) = 3n-3\times 6\\=3n-18\\----------\\2\left(n+12\right) = 2n+2\times 12\\=2n+24\\----------\\= 3n-18 < 2n+24[/tex]

Add 18 to both sides. When doing inequalities, always add the singular number or coefficient on the left side. Afterwards, simplify.

[tex]=3n-18+18 < 2n+24+18\\=3n\left(-18+18\right)\\=-18 + 18\\=3n-\left(0\right) < 2n+24+18\\=2n\left(24 + 18\right)\\=24 + 18\\=42\\=3n-\left(0\right) < 2n+42\\=3n < 2n+42[/tex]

Subtract by 2n, the coefficient on the right side.

[tex]3n-2n < 2n+42-2n\\=3n-2n < \left(2n+(42)-2n\right)\\= \left(2n+(-2n)\right)\\=3n-2n < 0+42-0\\3n-2n = 3-2\\= 1\\= "n"\\= 1n\\= 1\times n\\= 1\:or\:"n"\\= n < 42[/tex]

Given that n is less than 42, we can conclude that 42 would make the inequality false.

Hope this helps!

Answer:

comment below the options then i will change my answer to do it ok? ~Your friendly australian~

Step-by-step explanation:

Answer:

135.00

Step-by-step explanation:

subtract 179.00 from 314.00

Answer:

2312

Step-by-step explanation:

21+ 123

Answer:

K=1

6-4=2

2x1=2

4+2=6

Answer:

Same Side interior

Step-by-step explanation:

Just trust me

Answer:

same-side interior

Step-by-step explanation:

If a transversal intersects two parallel lines, then same-side interior angles are supplementary.

Answer:

5/11

Step-by-step explanation:

Answer: 1-2.3=5

Step-by-step explanation:

It really depends on what y or x is but if x was 3 and y was 1 and you follow pemdas p=parenthesis e= exponent d= division a= addition s= subtraction follow that pattern and what every comes first solve it but remember what ever comes first for multiplication or division solve it same with addition and subtraction but again really depends on what y and x are hope this helps.

Answer: 4 buckets

Step-by-step explanation: 7 x 4 = 28

Susan would need 4 buckets to collect 28 seashells.

#SPJ1

Answer:

10x + 5

Step-by-step explanation:

You have to add common numbers (Variables).

3x + 7x = 10x

Then you add the 5.

10X + 5

Answer:

3x + 5x + 7x should just be 15x

Step-by-step explanation:

Hope I helped

Have a Jocular day

Answer:

1. The numerator

2. the denominator of the fraction

3. 6/8

4. 2 badges

Step-by-step explanation: for number 4

Mr.Garcia is making badges. Each badge has 3/8 yards of ribbon. He starts with 3/4 yard of ribbon. We need to find how many badges he can make. The length of each badge is 3/8 yard of ribbon. The total length of the ribbon is 3/4 yard. To find the number of the badges is the quotient of the division of the total length of the ribbon by the length of each badge. The number of badges =  the length of the ribbon ÷ the length of the badge. The number of badges = 3/4 ÷ 3/8. To solve the division of two fraction we change the division sign by the multiplication sign and reciprocal the fraction after the division sign. The number of the badges = 3/4 × 8/3. The number of the badges = 3*8/4*3=24/12=2. So he can make 2 badges

Answer:

6 1/4

Step-by-step explanation:

we subtract 18 3/4 and 12 1/2

table B is correct answer

Answer:

75 hairs/ day =  525 hairs / week

Step-by-step explanation:

so your base question for this is 75 hairs/ day =? h/ week. how? if the dog is losing 75 hairs per day, then you would do 75 x 7 becuase there are 7 days in a week. the answer to that would give you how many hairs the dog was losing per week. (see attached image for reference)

Hope this helps!

#MRS

Answer:1390

Step-by-step explanation:

44,890.00-43,500.00=1390

Answer:

(16,4)

Step-by-step explanation:

Answer:

$39.10

Step-by-step explanation:

Cost of one bag of flour= $2.30

Cost of 17 bags of flour = 2.30x17

                                      = $39.10

(For working look at the picture)

Answer:

They change by 10.

Step-by-step explanation:

I cannot explain

Answer:

[tex]A=\frac{ab}{2}[/tex] or [tex]A = a *\sqrt{c^2-a^2} /2[/tex]

Step-by-step explanation:

Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.

[tex]A = \frac{h_{b}+b}{2}[/tex]

Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.

By using trigonometric relations we will see that the area is:

How to find the area of one triangular section?

Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.

Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).

h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:

tan(60°) = x/h

x = tan(60°)*h

Then our two catheti are h and tan(60°)*h.

This means that the area will be:

Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1