PLEASE ANSWER ASAP
What further conclusion can be made with the statements below?

If a figure is a triangle, then the sum of its angle measures is 180º.
If the sum of its angle measures is 180º, then a figure is a triangle.


The sum of its angle measures is 180º

The figure is a triangle.

No valid conclusion

A figure is a triangle if and only if the sum of its angle measures is 180º

Answer:

(i) The equivalent coordinates in rectangular form are [tex](x, y) = (-3.277,-2.294)[/tex].

(ii) The equivalent coordinates in rectangular form are [tex](x, y) = (0.866, 0.5)[/tex].

Step-by-step explanation:

In this exercise we must find the equivalent coordinates in rectangular form from polar form. That is:

[tex](x, y) = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex]

Where:

[tex]r[/tex] - Norm of vector, dimensionless.

[tex]\theta[/tex] - Direction of vector with respect to +x semiaxis, measured in sexagesimal degrees.

(i) ([tex]r = 4[/tex], [tex]\theta = 215^{\circ}[/tex])

[tex](x. y) = (4\cdot \cos 215^{\circ}, 4\cdot \sin 215^{\circ})[/tex]

[tex](x, y) = (-3.277,-2.294)[/tex]

The equivalent coordinates in rectangular form are [tex](x, y) = (-3.277,-2.294)[/tex].

(ii) ([tex]r = 1[/tex], [tex]\theta = 30^{\circ}[/tex])

[tex](x. y) = (1\cdot \cos 30^{\circ}, 1\cdot \sin 30^{\circ})[/tex]

[tex](x, y) = (0.866, 0.5)[/tex]

The equivalent coordinates in rectangular form are [tex](x, y) = (0.866, 0.5)[/tex].

Answer:

25

Step-by-step explanation:

;\

Answer:

-18

Step-by-step explanation:

Answer:-18

Step-by-step explanation:

Answer:

Let's see what to do buddy..

Step-by-step explanation:

_________________________________

STEP (1)

We know that the quadratic functions form are like this :

[tex]y = a \: {x}^{2} + b \: x + c [/tex]

The quadratic function opens upward so ;

[tex]a > 0[/tex]

The axis of parabolic symmetry passes through the vertex of the parabolic.

So we know that x vertex is equal to -2.

The vertex's x is finding from this equation:

[tex]x = - \frac{b}{2a} \\ [/tex]

So we have :

[tex] - 2 = - \frac{b}{2a} \\ [/tex]

Multiply the sides of the equation by 2a :

[tex]b = 4a[/tex]

_________________________________

STEP (2)

A quota passes through points (-3,2) and (0,11) , so points (-3,2) and (0,11) must be true in the quota equation.

[tex]y = f(x) = a{x}^{2} + bx + c \\ \\b = 4a \\ \\ y = f(x) = a {x}^{2} + 4ax + c [/tex]

[tex]f( - 3) = 2 \\ \\ a ({ - 3})^{2} + 4a( - 3) + c = 2 \\ \\ 9a - 12a + c = 2 \\ \\ - 3a + c = 2 \\ \\ \\ \\ f(0) = 11 \\ \\ a ({0})^{2} + 4a(0) + c = 11 \\ \\ c = 11 [/tex]

[tex] - 3a + c = 2 \\ \\ c = 11 \\ \\ - 3a + 11 = 2 \\ 11 \: goes \: to \: the \: other \: side \: \\ \\ - 3a = 2 - 11 \\ - 3a = - 9 \\ divided \: the \: sides \: of \: the \: equation \: by \: - 3 \\ a = 3[/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

m-6=x

Step-by-step explanation:

Answer:

B. Exactly one solution

Step-by-step explanation:

this should be it y=-2/5x+5

Answer:

192

Step-by-step explanation:

8x6x4

Answer:

192

Step-by-step explanation:

because it is

Answer:

$76.95

Step-by-step explanation:

Amber worked for 2.2 hours on Monday and she makes $9.50 per hour, so that means you multiply 9.50 x 2.2 and it equals 20.9, then it says she works 5.9 hours on Tuesday, so that means you multiply 9.50 x 5.9 and it equals 56.05, so in total you add 20.9 from Monday and 56.05 from Tuesday and it equals 76.95, which means $76.95 is how much Amber will be paid.

Answer:

76.95

Step-by-step explanation:

Answer:

5668

Step-by-step explanation:

Answer:

Step-by-step explanation:

X=5

Answer:

Jack will weigh 26.52 pounds

Step-by-step explanation:

x = 156 (Your weight on Earth)

y = 0.17 (Surface Gravity)

z = Your weight on the moon

x * y = z

156 * 0.17 = 26.52

Jack will weigh 26.52 pounds.

If Jack weighs 156 pounds on Earth his weight on the moon will be 26.52 pounds.

All mass-bearing objects are attracted by gravitational force. Because it consistently attempts to bring masses together rather than push them apart, the gravitational force is referred to as attractive.

It is given that,

Gravity on the surface of the moon =  0.17

Weighs of Jack on Earth = 156 pounds

Mass of Jack,

W=mg

156 pounds = m × 9.81     [ g on earth = 9.81 m/s²]

m = 15.902 kg

The weight of Jack on the moon is,

W=  15.902 kg × 0.17

W=2.565 N

Thus, if Jack weighs 156 pounds on Earth his weight on the moon will be 26.52 pounds.

Learn more about the gravitational force here:

brainly.com/question/12528243

#SPJ5

Answer:

Increase

Step-by-step explanation:

The number gets larger. Increase means it gets larger, but decrease means it gets lower.

Answer:

[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]

Step-by-step explanation:

First you need to solve the expression in order to get the expression in Slop-Intercept Form:

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

-The following equation:

[tex]-6y + 4x = 5[/tex]

Solve:

[tex]-6y + 4x = 5[/tex]

[tex]-6y + 4x - 4x = 5 - 4x[/tex]

[tex]-6y = 5 - 4x[/tex]

[tex]\frac{-6y}{-6} = \frac{5 - 4x}{-6}[/tex]

[tex]y = \frac{5 - 4x}{-6}[/tex]

[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]

Therefore, the expression in Slope-Intercept Form is [tex]y = \frac{2}{3}x - \frac{5}{6}[/tex].

Answer:

1888 × [tex]10^{8}[/tex]

or

188.8 × [tex]10^{9}[/tex]

or

18.88 × [tex]10^{10}[/tex]

Step-by-step explanation:

Lets look at this in a more simple way:

[tex](5.9[/tex] × [tex]10^{6} )[/tex] × [tex](3.2[/tex] × [tex]10^{4} )[/tex]

First, let's move [tex]10^{6}[/tex] and switch it's places with 3.2:

(5.9 × 3.2) × ([tex]10^{6}[/tex] × [tex]10^{4}[/tex])

Then, let's simplify:

18.88 × [tex]10^{10}[/tex]

Finally, Celebrate! WooHoo! You just learned how to do this!

Pls Brainliest! It would mean and help a lot! ;)

Thanks! Have a nice day! Please Thanks this, Vote 5, and Go to my Profile and Thanks me!

Answer:

-2

Step-by-step explanation:

f(-1)=-2. f(−1)=−2 f ( - 1 ) = - 2.

Answer:

=

Step-by-step explanation:

because 13.80 equal 13.8 . Because how we know we need to delite 0 snd it will be 13.8

Answer:

13.8 = 13.80

Step-by-step explanation:

13.8 and 13.80 are the same values.

Hope it helped!

Answer:

0.000045

Step-by-step explanation:

plug in -3 for x and get -5-2 which is -7 so b

Answer:  60 km/hr and 65 km/hr

Step-by-step explanation:

        o-----------------------------------←500→-------------------------------------o

        Bus 1: rate = r + 5                                              Bus 2: rate = r            

                  time = 4                                                               time = 4

                  distance = d                                                        distance = 500 - d

                              Use distance = rate x time

      Bus 1: d = 4(r + 5)                                               Bus 2: 500 - d = 4(r)

                d = 4r + 20                                                    -d = 4r - 500

                                                                                      d = 500 - 4r

Solve the System of Equations using the Substitution method:

                                    4r + 20 = 500 - 4r

                                    8r + 20 = 500

                                   8r          = 480

                                              r = 60

    Bus 1: rate = r + 5                                              Bus 2: rate = r

                     = 60 + 5                                                              = 60

                     = 65

Distance between both buses = 500km

Time taken by them to meet each other = 4hr

Let speed of bus A be v km/hr.

ATQ, speed of bus B is 5km/ hr more than that of bus A.

∴ Speed of bus B will be (v + 5) km/hr.

★ Diagram :

[tex]\boxed{\setlength{\unitlength}{1cm}\begin{picture}(6,2)\thicklines\put(1,1){\circle*{0.2}}\put(5,1){\circle*{0.2}}\put(1,1){\vector(1,0){1}}\put(5,1){\vector(-1,0){1.5}}\put(0.2,0.9){A}\put(5.5,0.9){B}\put(1.4,1.2){v}\put(3.85,1.2){v+5}\put(2.35,0.4){\sf{500\;km}}\put(2.2,0.5){\vector(-1,0){1.3}}\put(3.55,0.5){\vector(1,0){1.5}}\end{picture}}[/tex]

★ As we know that,

Assuming both buses as point masses,

Relative speed of object A wrt object B when the object B moves in the opposite direction of A is given by

Relative speed of bus A wrt B :

[tex]:\implies\:\sf{v_{AB}=v_A+v_B}[/tex]

[tex]:\implies\sf\:v_{AB}=v+(v+5)[/tex]

[tex]:\implies\bf\:v_{AB}=2v+5[/tex]

By substituting values in (I), we get

[tex]\leadsto\sf\:v_{AB}=\dfrac{d}{t}[/tex]

[tex]\leadsto\sf\:2v+5=\dfrac{500}{4}[/tex]

[tex]\leadsto\sf\:2v+5=125[/tex]

[tex]\leadsto\sf\:2v=120[/tex]

[tex]\leadsto\sf\:v=60\:kmph[/tex]

Speed of bus B = (v + 5)

Answer:

-5/42

Step-by-step explanation:

Answer: -0.11

Step-by-step explanation:

Answer:

Its C.

Step-by-step explanation:

64.5 is the answer.

I HOPE THIS HELPS HAVE A GREAT DAY!

Answer:

64.50

hope this helps!!!

Answer:

5

Step-by-step explanation:

8*5=40 so you multiply the ingredients by 5

Answer: 8

Step-by-step explanation: You can test 234 by multiplying it by random numbers like i did on a calculator and from there i tested 8 and it fit 1874 so i knew that was the answer

Not sure what does "Zero" mean. But I'll move with y-intercept, slope and slope intercept form.

The y-intercept is (0,4) because the graph passes through (0,4)

For the slope, look at the grid and the line, it's -2. Or we can solve this by using the ordered pairs.

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

(0,4) and (3,-2) both are the part of the graph, therefore.

[tex]m=\frac{-2-4}{3-0} \\m=-\frac{6}{3}\\m=-2[/tex]

So the slope is -2 and for the slope intercept form, it must be the equation.

We know that m = -2 and b = 4 because b is the y-intercept from y = mx+b where m is the slope and b is the y-intercept.

Thus, [tex]y=-2x+4[/tex] from the y = mx + b.

Answer:

Step-by-step explanation:

Let the required miles be x

Rental for Company A

Rental for Company B

Rental costs are equal when: