Similar triangles ABC and DEF are shown on the coordinate plane line t passes through points B, E, F, and C

Answer:

y=124°

x=67°

Step-by-step explanation:

For the triangle on the right

180-74-50=56°

then y= 180-56=124°

For the triangle on the middle (that small triangle)

180-85(Head opposite angles)-50=45°

So

x=180-45-68=67°

9514 1404 393

Answer:

  7.26

Step-by-step explanation:

If your equation is ...

  y = 7.26x

the coefficient of x is the constant of proportionality. It is 7.26.

Answer:

Velocity of plane is 100 mi/hr along northeast direction

Step-by-step explanation:

From the question it is given that Initial velocity of plane is 150 mi/hr along east north direction and wind is blowing at 50 mi/hr along southwest direction

since the velocity of wind and plane is exactly opposite

⇒ relative velocity of plane with respect to wind is given by

[tex]v_r_e_l = v_p - v_w[/tex] where [tex]v_p[/tex] is the velocity of plane = 150mi/hr and [tex]v_w[/tex] = velocity of wind = 50 mi/hr

Therefore, [tex]v_r_e_l = v_p - v_w[/tex]  = [tex]v_r_e_l = 150 - 50 = 100 mi/hr[/tex] alond northwest direction

Therefore, velocity of plane is 100 mi/hr along northeast direction

By working with the velocity vectors, we will find that the direction of motion of the plane is 28.7 south of east.

First, we need to define our coordinate axis, I will define the x-axis as the east and the y-axis as the north.

We know that the plane travels at 150 mi/hr at 100° east of north, notice that if we measure from the positive x-axis, this is equivalent to an angle of -10°.

So the vector is:

V =  < 147.7 mi/hr,  -26 mi/hr >

Now we know that the wind blowing at 50mi/hr at southwest, exactly southwest would be at an angle of 225°, so the components of the vector are:

So the vector is:

W = < -35.4 mi/hr, -35.4 mi/hr>

The sum of the vectors gives the total velocity of the plane in the wind, we will get:

V + W =  < 147.7 mi/hr -35.4 mi/hr ,  -26 mi/hr -35.4 mi/hr >

V + W =  <112.3 mi/hr, -61.4 mi/hr>

The direction of a vector <x, y> is given by:

θ = Atan(y/x)

Then in this case the direction of the plane is:

θ = Atan(-61.4 mi/hr/112.3 mi/hr) = -28.7°

So the direction of the plane is 28.7° south of east.

If you want to learn more about vectors, you can read:

https://brainly.com/question/17108011

Answer: 4 weeks

Step-by-step explanation: 28 divided by 7 is 4.

Answer:

See Explanation

Step-by-step explanation:

Both vertical lines are parallel to each other. (given)

Similarly, both horizontal lines are also parallel to each other.. (given)

So, quadrilateral obtained by the intersection of both vertical and horizontal lines is a rectangle.

Therefore,

[tex] \angle 7 \cong \angle 6... (1)[/tex]

(corresponding angles)

[tex] \angle 6 \cong \angle 5... (2)[/tex]

(corresponding angles)

From equations (1) & (2)

[tex] \angle 7 \cong \angle 5... (3)[/tex]

(By Transitivity)

[tex] \angle 5 \cong \angle 10... (4)[/tex]

(vertical angles)

From equations (3) & (4)

[tex]\huge \purple {\boxed {\angle 7 \cong \angle 10}} [/tex]

(By Transitivity)

There are several other ways to prove it as well.

Step-by-step explanation:

How much hours have passed?

Answer:

$7244

Step-by-step explanation:

Step one:

Given data

Columbia Mirror and Glass pays Frank Griffin $2570 monthly salary plus a 6% commission.

If sales is $77,900

Required

Frank's take home

Step two

let us find the expression used to determine Frank's take-home pay

let the total be y

y= 2570+ 6/100*77900

y=2570+0.06*77900

y=2570+4674

y=$7244

Answer:

No

Step-by-step explanation:

negative numbers work the opposite of how positive numbers work. Think about it like this. -12 is 12 units less than 0 and -12.5 is 12.5 units less than 0 which means that -12.5 is less than -12

Answer: 2 Vats will be used

Step-by-step explanation:

using the formula below, the ideal number of Kanban cards can be calculated;

N = (DT × ( 1 + X)) / C

where N is total number of container,

D is panned usage rate of using work Centre

T is Average waiting time for replenishment of parts plus average production for a  container of parts,

X is policy variable set by management that reflects possible inefficiency in the system ,

C is capacity of standard container.

Now, in the question, we were given that;

D = 204 pounds per day  = 204 / 8hrs = 25.5 pounds/hr   { The plant operates on an eight-hour day}

T = 2.25 hrs

X = 0.17

C = 34 pounds each

we substitute

N = (25.5×2.25 × ( 1 + 0.17)) / 34  

N = 67.12876 / 34

N = 1.974375 ≈ 2 Vats

Therefore 2 Vats will be used.

Step-by-step explanation:

solution

let,A(5,-1)

given

y=12x-1

or, y = 12 × x + (-1)

comparing it with y=mx+c

we get

x=1

y = c = -1

now

A(5,-1) and B(1,-1)

equation of line is,

(y-y1)/(x-x1) = (y2-y1)/(x2-x1)

or, (y+1)/(x-5) = (-1+1)/(1-5)

or, (y+1)/(x-5) = 0/-4

cross multiply

-4y-4 = 0

or, 0=4y+4

or, 4y+4=0 is the required eqn

I think this is the process and answer too.

I hope this helps you

Answer:

30 degrees

Step-by-step explanation:

53+97=150

180-150=30

Question Completion:

(a) Identify the experimental unit.

(b) Define the population of interest to the Census Bureau.

(c) Identify the sample.

(d) What variable is being measured? Is it quantitative or qualitative?

(e) Describe the statistical inference that the economists intend to make.

Answer:

a. The experimental unit is the households visited.

b. The population of interest to the Census Bureau is all US-based individuals aged 14 and above.

c. The sample is 59,000 households.

d. The variable under measure is quantitative (percentage estimate of people in the labor force who are unemployed).

e. The economists want to make a statistical inference of the unemployed population based on the sample data analysis that they conduct.

Step-by-step explanation:

a) Data and Calculation:

Population of interest = 98 million households

Sample from population = 59,000 households

b) The unemployment rate is the percentage of the total workforce of a country that is unemployed and who may be actively seeking employment at a particular period.  This implies that the unemployment rate may include persons who are active members of the workforce but may be underemployed.  

Answer:

x= -5

Step-by-step explanation:

its kinda complex, i don't know if my answer is right but i think it has to do with propertions

if its right can i have brainliest

Answer: -1/8

Step-by-step explanation:

3/4 + -3/8 + -1/4

Find the LCM of 4, 8, and 4

That's 8 so you make an equivalent fraction for all fractions so the denominator is 8.

3/4 = 6/8

-3/8 = -3/8

-1/4 = -4/8

Now the expression looks like this:

6/8 + - 3/8 + -4/8

6/8 - 3/8 - 4/8

6/8 - 7/8

-1/8

Hope that helped!

Answer:

x = 5

<R = 47 degrees

<S = 47 degrees

<T = 86 degrees

Step-by-step explanation:

The sum of angles in a triangle is 180degrees

Given triangle RST

<R + <S + <T = 180

9x + 2 + 13x - 18 + 17x +1 = 180

39x - 15 = 180

39x = 180 + 15

39x = 195

x = 195/39

x = 5

Get <R

<R = 9x + 2

<R = 9(5) + 2

<R = 47 degrees

Get <S

<S = 13x-18

<S = 13(5) - 18

<S = 65-18

<S = 47 degrees

Get <T

<T = 17x + 1

<T = 17(5)+1

<T = 85+1

<T = 86 degrees

Answer:

7.66

Step-by-step explanation:

Just open the parenthesis.

4x-4+4x+4x-4=84

Now simplify and solve

12x-8=84

12x=92

x= 7.66

Answer:

c

Step-by-step explanation:

Answer:

thw answer is 8

Step-by-step explanation:

hoped I helped

Answer For the question:

8

Answer:

C. 7,2,2 is the answer

Step-by-step explanation:

hope i helped

Answer:

As time increases, the amount of water in the pool decreases.

Step-by-step explanation:

Answer:

Difference: B: 7

Sum: C: 8

Answer:

the length of BC is 9.

x=9

Answer:

here is your answer.....

the length of BC is 9

ANSWER:OPTION C

Answer:

You cannot graph this equation. So there is no solution.

The answer is no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the sequence:

The first term is 10 and the common difference is -5

The recursive formula for the given sequence is:

Answer:

23 bags

Step-by-step explanation:

Answer: 23

Step by step explanation:

Answer:

perpendicular

Step-by-step explanation:

This question only asks about the slope of the line, so the intercept doesn't matter. You can see that the slope of one line is 3x and the other is -3x so they're perpendicular