During the Martinez family trip, they drove from home to a ski lodge, a distance of 52 4 5 miles, and then drove an additional 14 4 5 miles to visit friends.

Answer:

59 degrees

Step-by-step explanation:

There are 360 degrees in a circle. Each arc with a known measure adds up to 242 degrees. To find the measure of the third remaining arc DC, we have to subtract 242 from 360, which leaves us with 118 degrees. The inscribed angle theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. This means we have to divide 118 by 2 to find the value of DC's associated inscribed angle. This leaves us with 59 degrees.

Answer:

Step-by-step explanation:

Let the merchandise she sold = x

Her commission is 15% of that, so 15% of x or 0.15x

We know her commission was $40, so 0.15x = $40

0.15x = $40

Divide by 0.15

x = $266.67

We can check our answer by substituting $266.67 back into the equation.

0.15(266.67) = 40

40 = 40 ✅

Alyson sold $266.67 worth of merchandise.

Answer:

Step-by-step explanation:

y-4=-3x+9

y=-3x+13

Answer:

6*15 = 5(x+5)

90 = 5x + 25

65 = 5x

x = 13

Step-by-step explanation:

I've gone ahead and labeled some points.

There is a formula that says PA*PB = PC*PD, this is what you use.  If you would like me to show why this works I would be happy to.

So what we have is PA = 6, PB = 9+6 = 15, PC = 5 PD = 5+x so let;s writ ethe formula with these values

6*15 = 5(x+5)

90 = 5x + 25

65 = 5x

x = 13

EDIT: Here is the explanation for the formula

If you form triangles PCB and PAD you can find angle D and angle B are the same, because they are inscribed angles that intersect the same arc of the circle.  Also angle P is the same on both triangles since they are the same angle, so this means both triangles are similar.

This means DA is similar to BC, AP is similar to CP and PD is similar to PB. Similar sides means if you can multiply one side by a number to get to its similar side, then you can multiply all sides by that value to get all sides of that similar triangle.  

This also means if you divide one side by its similar side you get the scale value, so this means if you do it to two different sets of similar sides you get the same number

[tex]\frac{PA}{PC}=\frac{PD}{PB}\\PA*PB = PC*PD[/tex]

Answer:

B.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

yes they are rational

Step-by-step explanation:

in mathematics rule numbers that are positive are usually in rational form❤

Answer:

Let's solve your equation step-by-step.

x

15

=

3

5

Answer:

x=9

Step-by-step explanation:

Answer and Step-by-step explanation:

90 - 51 = 39.

Angle L is equal to 39, since angle M is equal to 51.

The angles are complementary, so they add up to 90, which is why we subtract 51 from 90 to get 39.

Have a great day!

#teamtrees #PAW (Plant And Water)

Answer:

$1.25

Step-by-step explanation:

Given data

let the movie ticket be x and the candy bar be y

x+y= 5-------------1

also

2x+y= 8.75--------2

solve 1 and 2

x+y= 5

2x+y= 8.75

from 1

x= 5-y

put this inplace of x in 2

2(5-y)+y=8.75

10-2y+y= 8.75

10-y= 8.75

10-8.75=y

y= 1.25

Hence candy bar is $1.25

Step-by-step explanation:

[tex]1) \\ f(x) = 3x - 1 \\ f(2) = 3(2) - 1 = 5 \\ 2) \\f(x) = {x}^{2} - 1 \\ f(2) = {2}^{2} - 1 = 3[/tex]

Answer:$5.00

Step-by-step explanation:

Let c = the cost of each candy bar

3 + 8c = 43

8c = 40

c = $5.00

Answer:

each candy bar costs 5 dollars

Step-by-step explanation:

43-3=50 and 40÷8=5

Answer:

5.988

Step-by-step explanation:

_9.687

3.699

=5.988

Answer:

4, -3

Step-by-step explanation:

I believe it'd be 4, -3 due to the shape moving seven units downwards, though I've only messed with triangles so I may be wrong. Sorry if I am.

Answer:

96 dollars....

Step-by-step explanation:

divide 24 by 5

which is 4.8

which represents that it costs 4 dollars and 80 cents for one dinner

multiply 4.8 and 20

which is 96

Answer:

The y-intercept is 2 and the slope is 1/2. So the equation is y = 1/2x + 2

Step-by-step explanation:

The y-intercept is where the line starts on the y-axis. For the slope to the next point on the line you have to move 2 units to the right and 1 unit up. When writing the slope as a fraction, you always put how far you move up or down above how far you move to the right or left.

The graph is missing, so i have attached it.

Answer:

$0.40 per minute

Step-by-step explanation:

From the attached graph, we can see that it is a linear graph.

Thus, to find the unit rate paid by Ken, we will calculate the slope by picking two coordinate points with thick dots on the blue and calculating it.

Point 1 = (15, 6)

Point 2 = (35, 14)

Slope = (y2 - y1)/(x2 - x1)

Slope = (14 - 6)/(35 - 15)

Slope = 8/20

Slope = $0.40 per minute

Answer:

1/3 times 9 so just do that math and there's your answer ;)

Answer: do the math kid 1/3 times 9 theres your answer

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The answer is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

Answer:the third one

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We want to find the equation of the line in slope-intercept form.

From the graph, we are given the two points (-5, 1) and (0, -3).

We can find the slope between them. The slope formula is given by:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We will let (-5, 1) be (x₁, y₁) and (0, -3) be (x₂, y₂). Substitute:

[tex]\displaystyle m=\frac{(-3)-(1)}{(0)-(-5)}[/tex]

And evaluate:

[tex]\displaystyle m=\frac{-4}{5}=-\frac{4}{5}[/tex]

Next, notice that the point (0, -3) is already the y-intercept, so we do not need to find it.

Slope-intercept form is given by:

[tex]\displaystyle y=mx+b[/tex]

Therefore, our equation is:

[tex]\displaystyle y=-\frac{4}{5}x-3[/tex]

Our answer is A.

Answer:

dcelfijiwq

Step-by-step explanation:

ddnwjw s20 x 60w qlk _

Answer: 16

Step-by-step explanation: If 1 mile is 1.6 km 10 times 1.6 is 16.

Answer:

1:1.5 or 2:3 or 4:6 or 8:12, etc. is the ratio

Step-by-step explanation:

Answer: Length of each side of the building block will be 1 feet.

Answer:

23/45

Step-by-step explanation:

Answer:

i dont see the question

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Greatest common factor (GCF) of 36 and 56 is 4.

Step-1: Prime Factorization of 36

Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:

36 = 2^2 × 3^2

Step-2: Prime Factorization of 56

Prime factors of 56 are 2, 7. Prime factorization of 56 in exponential form is:

56 = 2^3 × 7^1

Step-3: Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18

Step-4: Factors of 56

List of positive integer factors of 56 that divides 36 without a remainder.

1, 2, 4, 7, 8, 14, 28

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36 and 56. The biggest common factor number is the GCF number.

So the greatest common factor 36 and 56 is 4.

The highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.

It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.

It is given that:

The two numbers are: 36 and 56

As we know GCF means highest common factor, the factor which presents the in both numbers:

The GCF(36, 56) can be found using the Division Lemma:

56 = 36x1 + 20

36 = 20x1 + 16

20 = 16x1 + 4

16 = 4x4 + 0

The value of GCF(36, 56) :

GCF(36, 56)  = 4

Thus, the highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.

Learn more about the LCM here:

brainly.com/question/20739723

#SPJ2

Answer:

-3-5x

Step-by-step explanation:

4+(-7)-10x+5x

4-7-10x+5x

Answer:

−5−3

Step-by-step explanation:

Simplify

Subtract the numbers

4−7−10+5

−3−10+5

Combine like terms

−3−10+5

−3−5

Rearrange terms

−3−5

−5−3

Solution

−5−3