Each angle of the equilateral triangle in the figure has measure (2x – 9)°. Determine the value of x.

A) x = 25.5
B) x = 34.5
C) x = 69
D) x = 60

Answer:

For each test run, the minimum time is 45 mins  or 3/4  ____ hours

and the maximum time is 67.5 minutes or 1 hour 7.5 minutes.

Step-by-step explanation:

If x is the number of hours the robot is performing a test run, the equation that can be used to find the minimum and maximum time (in hours) for a test run is  15 mins for 1 mile

For 4 miles the time is 1 hour

For 1 miles the time will be 1/4 hour

For 3 miles the time will be 3/4 hours

and for 4.5 miles the time will be 4.5/4 hours

Now reversing

1 hour = 4miles

15 mins= 1 mile

45 mins = 3 miles

30 mins = 2 miles

67.5 min= 4.5 miles

For each test run, the minimum time is ____ hours

the minimum distance is 3 miles and time taken is 45 mins

and the maximum time is ____ hours.

The maximum distance is 3+ 1.5= 4.5 miles and time taken is 67.7 minutues or 1 hour 7.5 minutes.

Answer:

890/3 thats the anwser

Step-by-step explanation:

Answer:

$2.80

Step-by-step explanation:

17-3=14

14 divided by 5=

2.8

Add 0 since it's about money.

$2.80

Answer:

The directional earing is N 30° E

Step-by-step explanation:

The given velocity vector is (25, 25·√3), therefor, we have;

R = 25·i + 25·√3·j

The angle of inclination of the direction of the boat with the horizontal = Arctan (y/x)

Where;

(x, y) = The coordinate of the components of the velocity of the boat

Therefore;

Arctan (y/x)  =  Arctan (25·√3/25) = Arctan (√3) = 60° North of East

The directional bearing which is the bearing relative to the northern direction is given as follows;

The directional earing = 90° - 60° = N 30° E.

Answer:

A on Egde

Step-by-step explanation:

i got it right

Answer:

$26 dollars

Step-by-step explanation: when you divide 156 divided by 6 you get 26

Answer:

26 dollars per ticket

Step-by-step explanation:

156/6=26

26x6=156

Answer:

There are 9 possible isosceles triangles

Step-by-step explanation:

Inequalities

Let's consider an isosceles triangle with equal side lengths x and unequal side y.

The perimeter of that triangle is:

P = x + x + y =2x + y

The perimeter has a fixed value of 20 units, thus:

2x + y = 20

Solving for y:

y = 20 - 2x

The solutions of this equation have two restrictions:

* Both x and y must be positive

* Both x and y are integer (whole) numbers.

The first restriction leads to inequality:

20 - 2x > 0

Solving for x:

x < 10

Since x must also be positive, only the following numbers are valid solutions for x: {1,2,3,4,5,6,7,8,9}

There are 9 solutions for x, giving this set of 9 solutions for y: {18,16,14,12,10,8,6,4,2}

Thus, there are 9 possible isosceles triangles

X=18

Step-by-step explanation:

Answer:

-43

Step-by-step explanation:

m=8, n=11, and p=-3

mp=8x-3=-24

-24-m=-24-8=-32

-32-n=-32-11=-43

Answer:

(x1,y1) = (1, 2)

(x2,y2) = (-1,0)

Step-by-step explanation:

Given: f(x) = x²(x + 1) and g(x) = x + 1

To find the intersection, then set functions equal to each other to solve for x first.

x²(x + 1) =  x + 1; divide by (x+1) from both sides

[tex]x^{2}[/tex] = 1; take the square root to both sides

x = ±1;

The graphs intersect at two points (x1,y1) and (x2,y2)

Use x=1

f(1) = x²(x + 1) = [tex]1^{2}[/tex](1+1) = 2

g(1) = x + 1 = 1 + 1 = 2

(x1,y1) = (1, 2)

Use x= -1

f(-1) = x²(x + 1) = [tex](-1)^{2}[/tex](-1+1) = 0

g(-1) = x + 1 = -1 + 1 = 0

(x2,y2) = (-1,0)

The points of intersection of two functions are required.

The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].

The given functions are

[tex]f(x)=x^2(x+1)[/tex]

[tex]g(x)=x+1[/tex]

Equating them with each other

[tex]x^2(x+1)=x+1\\\Rightarrow x^2=\dfrac{x+1}{x+1}\\\Rightarrow x^2=1\\\Rightarrow x=\pm 1[/tex]

Substitute the [tex]x[/tex] value in one of the functions.

[tex]x=1[/tex]

[tex]f(1)=1(1+1)=2[/tex]

[tex](1,2)[/tex]

[tex]x=-1[/tex]

[tex]f(-1)=(-1)^2(-1+1)=0[/tex]

[tex](-1,0)[/tex]

The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].

Learn more:

https://brainly.com/question/16276433

https://brainly.com/question/11604425

Incomplete question.  

Answer:

+2

Step-by-step explanation:

Draw a vertical line through x = -6.  Determiene the corresponding y-value.  It is +2.  This is g(-6).

The value of the function g(x) when x = - 6, g(-6) is 2.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x).

Now, The value of the function g(-6) is the same as the value of the y-coordinate when the x-coordinate is - 6.

From the graph, we observe that when x = - 6, y = 2.

So, The value of g(-6) = 2.

learn more about functions here :

https://brainly.com/question/12431044

#SPJ2

Answer:

C. 40

Step-by-step explanation:

Start with multiplying the 120 students who took the computing and networking courses with 1160 hours. 120 times 1160 = 139200

That means that 139200 hours of the 164800 hours are by the students who took computing and networking classes, so now we have to subtract.

164800 - 139200 = 25600

Now divide 25600 with 640, because 25600 is the hours for the business course. 25600/640 = 40

So there's 40 students

Answer:

The common factors for  24 , 48 , 480 are

1 , 2 , 3 , 4 , 6 , 8 , 12 , 24

1 , 2 , 3 , 4 , 6 , 8 , 12 , 24

1 , 2 , 3 , 4 , 6 , 8 , 12 , 24

The GCF (HCF) of the numerical factors 1,2,3,4,6,8,12,24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Prime factorization.

24= 2*2*2*3

48= 2*2*2*2*3

480= 2*3*2*5*2*2*2

The numbers that appear the most often for all 3 numbers is: 2, 3, 4. I got 4 because of 2*2.

Multiply 2*3*4 which equals 24. The GCF of 24, 48, and 480 is 24.

Answer:

I and H

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

13 miles

Step-by-step explanation:

It tells us that her house is 5 miles from the Post Office. So we know that each unit on the grid is 1 mile. Lucy walks from her house to the post office to the bank. The shortest path is the hypotenuse of the right triangle. We have one side length. Now, we count the post office to bank's length. It is 12 miles. The Pythagorean theroem is a^2+b^2=c^2 so 5^2+12^2=c^2 Solving this, we get c=13. The shortest path is 13 miles.

Answer:

Step-by-step explanation:

[tex]7a(3b - 2c + 4)\\\\\mathrm{Distribute\:parentheses}\\\\=7a\times \:3b+7a\left(-2c\right)+7a\times\:4\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=7\times\:3ab-7\times\:2ac+7\times\:4a\\\\Simplify\\\\21ab-14ac+28a[/tex]

Answer:

$180

Step-by-step explanation:

Simple interest formula:

I = R x T x P divided by 100

=(900 x 2 x 10) / 100

=18000 / 100 = 180

=$180

Answer:

the answer is 2/3

Step-by-step explanation:

(2/11)/(3/11)=2/3

Answer:

Exact Form:

2 /3

Decimal Form:

0. 6 repeating

Step-by-step explanation:

Answer:

Step-by-step explanation:

The proportion of x/y is 8/1. And to solve your question the value of y when x is 10 is 1.25 .

Answer:

The equation to express this situation is y = 15x + 50.

Step-by-step explanation:

Initially, the temperature of a pot of water is 50⁰, i.e. at after x = 0 minutes the temperature was, y = 50⁰.

And the temperature rises 15⁰ per minute.

So, after x₁ = 5 minutes, the temperature was, y₁ = 125⁰.

And similarly after x₂ = 10 minutes, the temperature was, y₂ = 200⁰.

Compute the equation to express this situation as follows:

[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\cdot (x-x_{1})\\\\(y-125)=\frac{200-125}{10-5}\times (x-5)\\\\y-125=15x-75\\\\y=15x-50[/tex]

Thus, the equation to express this situation is y = 15x + 50.

Answer: 47

Step-by-step explanation: I’m not in high school so how would I know I just want to get brainly points

Answer:

x = 13

arc RQ = 160°

Step-by-step explanation:

The length of smaller arc RQ is twice of the inscribed angle it sees

(5x + 15) × 2 = 10x + 30

9x + 17 + 6x - 12 + 10x + 30 = 360° add like terms

25x + 35 = 360

25x = 360 - 35

25x = 325 divide both sides by 25

x = 13 now the measure of arc RQ

10x + 30 ➡ 10 × 13 + 30 = 160°

Answer:

(5, 7)

Step-by-step explanation:

before the translation, A is (2, 5)

by adding 3 to A and 2 to y, we get (5, 7)

Answer:

c. is your answer dear.

Step-by-step explanation:

By SSS theorem which is Side Side Side.

Hope you got it.