Graph the line that has a slope of 1/6 and includes the point (0, 7).

Answer:

x = 25

Step-by-step explanation:

Complementary angles add to 90 degrees

x+65 = 90

Subtract 65 from each side

x = 90-65

x = 25

The Definition of Complementary Angles states that if two angles are

complementary, then the sum of their measures is 90°.

To find the complement of an angle, we take 90 degrees minus the

measure of the angle which in this case 90° - 65° or 25°.

So the complement of the 65° angle measures 25°.

Answer:

False

Step-by-step explanation:

N/A

Answer:

(4, 7) (third answer choice)

Step-by-step explanation:

In the system

y = x + 3

3x + y = 19

the first equation already gives y in terms of x.  Thus we can substitute x + 3 for y in the second equation:

3x + (x + 3) = 19, which simplifies to:

4x = 16, yielding x = 4.  Substituting 4 for x in the first equation, we get:

y = (4) + 3 = 7.

Thus, the solution is (4, 7) (third answer choice).

Answer:

C.  9√2.

Step-by-step explanation:

√8 + 3 √2+ √ 32

= √4 *√2 + 3√2 +  √16*√2

= 2√2 + 3√2 + 4√2

= 9√2.

Answer:

6

Step-by-step explanation:

Answer:

Six times a number x less than four less than six

The product of six and a number x  decreased by four.

Given that,

Based on the above information, the information is as follows:

Here 6x - 4 should be written like the product of x and the number x should be decreased by four.

Learn more: brainly.com/question/17429689

Answer:

y=2+√28+4x

Step-by-step explanation:

Answer:  C

Step-by-step explanation: Since the angle measures of a heptagon measure up to 900, add all known angle measures. they equal to 755. 900 - 755 is 145.

Answer:

She will raise 6 dollars a week and the total donation will be 600 dollars.

Step-by-step explanation:

Answer: 1. she will raise $6 per week.  2) $600

Step-by-step explanation:

30/5 = 6   she will raised $6 per week.

so her total donation will be $200 because she is raising $30 more.

Now if her father matches the her total then she will now have $400 because her father doubles it.

Now her mother will also add the same amount which will make it $600

because $400 + $200 = $600.

Answer:

f(x)= (x-3)(x-7)

Step-by-step explanation:

Answer:

Should be 33 degrees if it is congruen.

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

124 + 33 = 157

180 - 157 = 23

Answer:

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

13+14+16=43

Answer:

43

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

x^2-7x+10

Substitute x = -2

(-2)^2 -7(-2) +10

Exponents and multiplication

4 +14+10

Add

28

Answer:

6

Step-by-step explanation:

Given the system of equations:

y = 6x-b  (eq. 1)

-3x+1/2y = -3 (eq. 2)

We can rewrite eq. 1 as follows:

-6x + y = -b

Dividing by 2:

(-6x + y)/2 = -b/2

-6x/2 + y/2 = -b/2

-3x + 1/2y = -b/2

The system of equations will have infinite number of solutions if both equations are equal. Therefore:

-b/2 = -3

b= -3*(-2)

b = 6

Answer:

Step-by-step explanation:

height

Answer:

7

Step-by-step explanation:

7x + 68 = 2x + 103

Subtract 2x from each side

5x + 68 = 103

Subtract 68 from each side

5x = 35

divide 5 from 35 and you get X = 7

Answer:

x≥2

Step-by-step explanation:

-6≥10-8x

+6      +6

= 0≥16-8x

+8x    +8x

= 8x≥16

/8       /8

= x≥2

Answer:

2≤x

Step-by-step explanation:

−6≥10−8x

Subtract 10 from each side

−6-10≥10-10−8x

−16≥−8x

Divide each side by -8, remembering to flip the inequality

-16/-8 ≤-8x/-8

2 ≤x

Answer:

the triangles are similar because y=34 and there are three pairs of congruent angles

Step-by-step explanation:

this is correct because all of the angles in a triangle add up to 180, so if y = 34 then 34 + 63 + 83 = 180

this also means x is equal to 83  which means both triangles share all of the same angle measures

Answer:

Step-by-step explanation:

if there are two numbers a and b.then

1. a+b=b+a ,commutative under addition.

2. ab=ba,commutative under multiplication.

If there are three numbers a,b,c then

1. a+(b+c)=(a+b)+c,associative under addition.

2.

a×(b×c)=(a×b)×c ,associative under multiplication.

Answer: Addition and multiplication :)

Answer:

the answer is b, 4 units

Answer:

4

Step-by-step explanation:

quatro

Answer:

[tex]997.66ft^3[/tex]

Step-by-step explanation:

[tex]V=\frac{3\sqrt{3} }{2} a^2h\\=\frac{3*\sqrt{3} }{2} *4^2*24\\=997.66ft^3[/tex]

Answer:

Step-by-step explanation:

5.25x +6 =74.25

5.25x = 74.25 -6

5.25x =68.25

x = 68.25÷5.25

x = 13

Answer:

x=13

Step-by-step explanation:

1) Subtract 6 from both sides.

2) Divide by 5.25 on both sides to get x on its own.

[tex]5.25x+6=74.25\\5.25x+6-6=74.25-6\\5.25x=68.25\\\frac{5.25x}{5.25} = \frac{68.25}{5.25} \\x=13[/tex]

Answer:

0 , 120 , 120 , 150

Step-by-step explanation:

Lets consider in step by step

For Time = 0 hours

At t= 0, the train has not moved from its initial spot. The amount of distance travelled by train is 0

For Time = 2 hours

The train is travelling at a constant speed of 60 miles per hour. As the train travels for 2 consecutive hours at the same speed without stopping, it means that it covers a distance of 60 miles in 1st hour and another 60 miles in 2nd hour. Total distance covered is 120 miles.

For Time = 2.5 hours

The train stops after 2 hours and remain at the same place for 30 mins. So, after 2.5 hours the distance remains the same i.e 120 miles , as the train was stopped.

For Time = 3.5 hours

After 2.5 hours, train travels at a speed of 30 miles per hour. Which means that it covers another 30 miles to reach the destination.

Total Distance covered = 120+30 = 150 miles

Answer:

It should be a "closed" dot facing the left side (towards the negative numbers)

Step-by-step explanation:

The graph will be a line segment with endpoints -1 and 1. Both endpoints are closed dots. This is to indicate we include the endpoints as part of the solution set. Everything between the endpoints is shaded in.  

The answer in interval notation is [-1, 1]. The square brackets tell the reader to include the endpoints. This describes the interval from -1 to 1, inclusive of the endpoints.

How do we know to include the endpoints or not? By looking at the "or equal to" portion. If that is present, then we include the endpoint; otherwise, we exclude.

The original inequality [tex]|x| \le 1[/tex] is the same as [tex]-1 \le x \le 1[/tex]

The general rule is [tex]|x| \le k[/tex] turns into [tex]-k \le x \le k[/tex] for some positive number k.

Answer:

y=2/3x (y equals two-thirds x)

Step-by-step explanation:

3y=2x

(divide by 3 on both sides to get just the y value)

3/3y=2/3x

y=2/3x

Answer: -3

Step-by-step explanation:

The average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex]. All we have to do is to plug in our values.

a=-2

b=-1

f(b)=f(-1)=(-1)²+10=11

f(a)=f(-2)=(-2)²+10=14

With our values listed, all he have to do is to plug them in.

[tex]\frac{11-14}{-1-(-2)} =\frac{-3}{1}=-3[/tex]

Answer:

a) Pick a club card from an ordinary pack of cards

VERY LIKELY

b) Pick the ace of spades from an ordinary pack of cards

VERY UNLIKELY

c) Tossing a coin and it landing on heads

LIKELY

d) I roll a dice and get a 7

IMPOSSIBLE

e) Somebody you know is left-handed

LIKELY

a) Impossible

In flipping a coin once, an impossible event would be getting BOTH a head AND a tail.

b) Unlikely

The chance of snow in June in Florida

c) Certain

“Head or Tail' is a certain event connected with tossing a coin

d) Likely

The sharp knife will cut his finger

e) Very likely​

Since it is sunny and hot, it is I will go to the pool today.

Answer:

a) Pick a club card from an ordinary pack of cards

VERY LIKELY

b) Pick the ace of spades from an ordinary pack of cards

VERY UNLIKELY

c) Tossing a coin and it landing on heads

LIKELY

d) I roll a dice and get a 7

IMPOSSIBLE

e) Somebody you know is left-handed

LIKELY

a) Impossible

In flipping a coin once, an impossible event would be getting BOTH a head AND a tail.

b) Unlikely

The chance of snow in June in Florida

c) Certain

“Head or Tail' is a certain event connected with tossing a coin

d) Likely

The sharp knife will cut his finger

e) Very likely​

Since it is sunny and hot, it is I will go to the pool today.

Answer:

D

Step-by-step explanation: