Three families track their distance while traveling to the band competition each family recorded data in different form which family has the fastest speed Rodriguez family Martin family or brown family

Answer:

The correct options are;

1. Definition of supplementary angles

2. m∠1 + m∠2 = m∠1 + m∠3

3. m∠2 = m∠3

4. Definition of congruent angles

Step-by-step explanation:

The two column proof is presented as follows;

Statement    [tex]{}[/tex]                                      Reason

1. ∠1 and ∠2 are supplementary [tex]{}[/tex]       Given

∠1 and ∠3 are supplementary [tex]{}[/tex]      

2. m∠1 + m∠2 = 180°     [tex]{}[/tex]                      (1) Definition of supplementary angles

m∠1 + m∠3 = 180°

3. (2) m∠1 + m∠2 = m∠1 + m∠3      [tex]{}[/tex]     Transitive Property

4. (3) m∠2 = m∠3     [tex]{}[/tex]                            Subtraction property of equality

5. ∠2 ≅ ∠3     [tex]{}[/tex]                                       (4) Definition of congruent angles

Given that angles ∠1 and ∠2 are supplementary, we have, ∠1 + ∠2 = 180°

Given that angles ∠1 and ∠3 are also supplementary, we also have, ∠1 + ∠3 = 180°

∴ ∠1 + ∠2 = 180° = ∠1 + ∠3

∠1 + ∠2 = ∠1 + ∠3

∠1 + ∠2 - ∠1 = ∠1 + ∠3 - ∠1

∴ ∠2 = ∠3

∴ ∠2 ≅ ∠3, by definition of congruent angles.

Answer:

4/5

Step-by-step explanation:

The rise is 4, and the run is 5. The rise comes first, so the answer is 4/5. The line is positive.

Answer:

slope = 4/5

Step-by-step explanation:

The best way to find the slope with just a line is to pick the most direct points on the graph, meaning points that are not in between numbers but right on the graph lines

y value - y value  over x value - x value  

Points: (-2,0) and (3,4)

4-0 = 4

3-(-2) = 5

4/5

Answer:

A, C

Step-by-step explanation:

A.)

32 / 8 * 5.25 ----> 4 * 5.25 ----> 21

C.)

4 * 12.5 / 2----> 49 / 2 ----> 24.5

Answer:

between 20 & 30?

A & C  

Step-by-step explanation:

A) 32 / 8 * 5.25 = 21

B) -18 / 6 * 9 = -27

C) 4 * 12.5 / 2 = 25

D) 12 * 4[tex]\frac{1}{3}[/tex] / -2 = -26

Answer:

the price with the offer is going to be 1.59$

Step-by-step explanation:

[tex] \frac{x}{5.30} = \frac{70}{100} [/tex]

[tex]100(x) = 70(5.30)[/tex]

[tex]100(x) = 371[/tex]

[tex] \frac{100(x)}{100} = \frac{371}{100} [/tex]

[tex]x = 3.71[/tex]

[tex]70\% \: \: \: of \: \: \: 5.30 \: \: \: is \: \: \: 3.71[/tex]

[tex]5.30 - 3.71 = 1.59[/tex]

Answer: 20

Step-by-step explanation: 3 feet in 1 yard, there are 6 yards.

6 x 3 = 18 feet plus the 2 extra = 20 feet

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The pair of inequalities is graphed in the attachment.

The first inequality graphs as a shaded area below the dashed line y=-x+5.

The second inequality graphs as a shaded area below the solid line y=2x-1.

The solution set is the doubly-shaded area below the point where the lines intersect.

Answer:

180°

Step-by-step explanation:

because because that's how much the angle of this triangle is

The sum of the exterior angles is always 360. This applies to any polygon.

note: If you wanted to sum up the interior angles, then the answer would be 180.

Answer:

O (-18, 12)

Step-by-step explanation:

brainiest plz

Answer:

220 mph ; 230 mph

Step-by-step explanation:

Given that :

Speed of First boat = x

Speed of Second boat = y

y = (10 + x) mph

Distance apart after 3 hours = 150 miles

Speed of the boats :

Speed / time = distance

First boat distance = x / 3

Second boat distance = (10+x) /3

x/3 + (10+x)/3 = 150

x + 10 + x = 150 * 3

2x + 10 = 450

2x = 450 - 10

2x = 440

x = 220 mph

Speed of second boat = 220 + 10 = 230 mph

Answer:

bx8

Step-by-step explanation:

Answer:

If it's 16, then it's -4 > x

Step-by-step explanation:

Ignore the inequality sign first and solve 12 = -3x

This would equal -4 = x

Now, when you divide or multiply both sides by a negative, you have to change the inequality sign so you change it from -4 > x to -4 < x

Answer:

The ordered pairs that are solution to this equation are:

(8,1) and (10,3)

Step-by-step explanation:

Given statement is:

"difference of two variables x and y is 7"

This can be mathematically written as:

[tex]x-y = 7[/tex]

To solve this we have to put y = 1 and y = 3

Now,

Putting y = 1 in the equation

[tex]x-1 = 7\\x = 8[/tex]

Putting y = 3 in the equation

[tex]x-3 = 7\\x = 7+3\\x = 10[/tex]

Ordered pairs are of the form (x,y)

Hence,

The ordered pairs that are solution to this equation are:

(8,1) and (10,3)

Answer:

Then the complement of it = 90-x. Given that An angle is equal to 5 times its complement. x = 75. Hence the measure of an angle = 75.

Step-by-step explanation:

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

wooo

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

For the first picture: m angle t=36 and m angle v=54

For the second picture:m angle P=55 m angle Q=81 and m angle QPR=180

Step-by-step explanation:

For the first picture, you had to do 2x+3x+90=180

We got the 90 from the right triangle.

Then you combine like terms, which was then 5x=90=180

Then, you subtract the 90 from both side, leaving 5x=90

Divide 90 by 5, which gives you x=18

For both the answers, you had to do 2(18) for T and 3(18) for V

The second picture, you did (8y + 1) + (5y + 5)= 136

You combine like terms, which levas you with 13y + 6 = 136

You subtract 6 from both sides, leaving you with 13y= 130

Divide 130 by 13, which is 10 so y=10

You then replace the y for (8y + 1) to 10 and solve

As well as for (5y + 5), you replace the y with 10 and solve

And m angle QRP is 180 because every triangle has a total of 180 degrees

Hope this helped!

Answer:

y=05x+3.5.

that's thw answers

Answer:

any integer in between 29,30,31,32,33,34 will work.

Answer:

14

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

uh you didnt put the picture please put the picture i really want to help you:)

Step-by-step explanation:

Answer:

bra

Step-by-step explanation:

Answer:

(a) yes it does

(b) the rate is constant because the rate of change (slope) is the same throughout the function.

(c) The rate, or rate of change, is -1/2.

y1 - y2/x1-x2

4 - 2/3 - 9

2/-6

-1/2

Answer:

[tex]blue \: painted \: cups = \frac{1}{2} [/tex]

Step-by-step explanation:

use linear extrapolation

Answer:

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. ... This is because there is truly no solution—there are no values for x that will make the equation true

Answer:

No solution

Step-by-step explanation:

The solution x = 0 means that the value 0. “No solution” means that there is no values