What is the missing step in this proof?
(image attached below)

Answer:

Step-by-step explanation: find the exact value by using trigomectric identities

Answer:

The answer is C. (4x+12)+8x=180

Answer:

C

Step-by-step explanation:

alt. interior angles are congruent, so don't worry about y

also, because of alt. int. angles, we know that (4x+12)+8x=180

we can solve it by grouping like terms to get x=14

Complete question :

William travels only on Saturdays and Sundays and has flown 400 miles this month. Jason travels every weekday and has flown 500 miles this month. Who travels more miles per day for this month

Answer:

WILLIAMS ; 50 miles per day

Step-by-step explanation:

Given that :

Williams travel times = Saturdays and Sundays

Total distance traveled = 400 miles

Jason travel times = Every weekday

Total distance traveled = 500 miles

Number of weeks in a month = 4

Hence, saturdays and Sundays = 4 * 2 = 8 days

Weekdays = 5 * 4 = 20 days

Miles traveled per day:

Williams :

Total distance / number of days

= 400 miles / 8 days

= 50 miles per day

Jason :

Total distance / number of days

= 500 miles / 20 days

= 25 miles per day

50 > 25

Hence, Williams travel more miles per day than Jason

Answer:

13:  312yd squared

14: 907.5 rounded up but not rounded is 907.46

Step-by-step explanation:

this is because the formula is pi*r^2  so you'd

Step by step:

1. 20yd/2= 10 to get the radius for 13

2. substitute r in the formula pi*r^2 for 10 making it pi*10^2

3. multiply 10 by itself, 10*10=100

4. multiply pi by 100, 3.14*100= 314

314yd^2 is the answer for 13

14:

1. 34ft/2=17 to get the radius for 14

2. substitute r on the formula pi*r^2 for 17 making it pi*17^2

3. multiply 17 by itself, 17*17=289

4. multiply pi by 289, 3.14*289=907.46

5. round 907.46 to the nearest tenth, 907.5

907.5ft^2 is your answer

hope this helps :)

Answer:

Well i got 4.32 but im not completely sure

Step-by-step explanation:

Answer:

The length of side BD is 4.62 units to the nearest hundredth

Step-by-step explanation:

In Δ ABC

∵ m∠ABC = 90°

∵ BD ⊥ AC

∴ AB × BC = BD × AC

∵ AB = 12 units

∵ BC = 5 units

∵ AC = 13 units

→ Substitute them in the equation above

∴ 12 × 5 = BD × 13

∴ 60 = 13 BD

→ Divide both sides by 13 to find BD

∴ 4.615384615 = BD

→ Round it to the nearest hundredth

∴ BD = 4.62 units

∴ The length of side BD is 4.62 units to the nearest hundredth

b ≤ −18 or (−∞, −18)

Answer:

Step-by-step explanation:

4 boxes with 7 pencils each

26

4*7 = 28

He has 28 pencils in total.

Number of extra pencils

= 28 - 26 = 2

Hope this helped,

Kavitha Banarjee

work it out

Step-by-step explanation:

Answer:

x = 18

These two angles are formed by a transversal that cuts through 2 parallel lines. This means that (5x + 2) on line m corresponds to the angle on the right of (5x-2) on line n.

Now that we can see (5x + 2) and (5x - 2) are on a straight line, we can say that (5x + 2) + (5x - 2) = 180

10x + 0 = 180

10x = 180

x = 180/10

x = 18

Answer:

first off i just want to say i hate aleks but ill still give the answer

Step-by-step explanation:

1.75^-0.5 = 0.75592894

3/2^2.4 = 2.6461778

Answer:

This equation is already complete to its maximum stage.

Step-by-step explanation:

If you want other possibilities of this equation here:

y - 2 = 4x

4x = y - 2

x = [tex]\frac{y - 2}{4}[/tex]

Hope this helps!

Have a nice day!

If you find my answer helpful

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Answer: Not enough info

Step-by-step explanation:

Answer:

a. x6= 32

x = 32/6

x = 5.33

b. 15 = 4y

4y = 15

y = 15/4

y = 3.75

c. 2x+39= 57

2x = 57 - 39

x = (57 - 39)/2

x = 9

Answer: See explanation

Step-by-step explanation:

You didn't give the options but let.me solve the number of left handed girls and you then choose the closest answer to the value that I get.

Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed. Therefore, the number of left handed girls will be:

= 32% × 475

= 32/100 × 475

= 0.32 × 475

= 152 left handed girls

The discount is $24.5 and Sale Price is $122.5.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

loren wants to buy a golf club that is $98.

Sale= 25% off

So, the discount is

= 98 x 25/100

= 98 x 1/4

= $ 24.5

and, the Sale Price is

= 98 + 24.5

= $122.5.

Learn more about Percentage here:

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Answer:

$0.69

Step-by-step explanation:

Add them all up.

Answer:

$0.64

Step-by-step explanation:

hope this helped :-)

Answer:

slope of 10/1 or simplified to 10

Step-by-step explanation:

Answer:

slope is 10/7

Step-by-step explanation:

use the formula or plot the points on a graph to get the slope is 10/7

Answer:

The value of 11+x at x=12 will be 23.

Step-by-step explanation:

Given the expression

As we have to evaluate the expression at x=12

so substitute the value x=12 in the expression

[tex]11 + x[/tex]

[tex]=11+12[/tex]

[tex]=23[/tex]

Therefore, the value of 11+x at x=12 will be 23.

Answer:

107

Step-by-step explanation:

The two angles would make a linear pair, which means they're supplementary to each other. Supplementary angles add up to 180.

This allows us to do 180 - 73 = 107

x would be 107.

The measure of the other 7 angles are;

m∠2 = m∠3 = 109°; m∠4 = m∠5 = m∠8  = 71°;  m∠6 = m∠7 = 109°

We are given;

m∠1 = 71°

Thus;

m∠1 and m∠2 are angles that form a straight line and as such they are supplementary angles and sum up to 180°

Thus; m∠1 + m∠2 = 180°

71 + m∠2 = 180°

m∠2 = 180 - 71

m∠2 = 109°

Now, m∠2 and m∠3 are alternate angles and as such;

m∠2 =  m∠3

Thus; m∠3 = 109°

Similarly,

m∠1 and m∠4 are alternate angles and as such;

m∠1 =  m∠4

Thus;

m∠4 = 71°

m∠1 and m∠5 are corresponding angles and as such;

m∠1 =  m∠5

Thus;

m∠5 = 71°

m∠2 and m∠6 are corresponding angles and as such;

m∠2 = m∠6

Thus;

m∠6 = 109°

Similar to how angles were gotten earlier, we can say that;

m∠5 = m∠8  = 71°

and m∠6 = m∠7 = 109°

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Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

[tex]145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}[/tex]

Christina had to travel 125 m from the three-way junction to the church.

The distance Kristina travelled from the three-way junction to the church is; x = 125 meters

     We are told that she drove 145 meters towards the three way junction. She now turned right to reach a nearby church around rimando road.

This means that if the distance at which she turned right is x, then x is perpendicular to 145 m.

     Now, we are told that the displacement between the church and McDonalds is 191.442 meters.

The displacement means the distance from the final position to the initial position. Thus, there will form a right angled triangle with 191.442 as the hypotenuse.

Using Pythagoras theorem, we have;

x² + 145² = 191.442²

x² = 191.442² - 145²

x² = 15625.039364

x = √15625.039364

x = 125 meters

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Answer:

Well, you look at each individual place value.

1.679 and 1.697

Compare 1 to 1. They are the same. Move on.

Compare 0.6 to 0.6. They are the same. Move on

Compare 0.07 and 0.09. They are not the same. 0.07 is less than 0.09

Therefore 1.679 < 1.697

Hope this helps :)

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Answer:

Step-by-step explanation:

Given

Solving for a

Answer:

Step-by-step explanation:

x^2= -25

x=5i and -5i

Answer:

The answer is 5

Step-by-step explanation:

x^2= -25

x=√-25

x=5

9514 1404 393

Answer:

  3) y = -1

  5) x = -14

Step-by-step explanation:

The first step is to recognize that the equation describes a vertical line in problem 3 and a horizontal line in problem 5. The perpendicular to a vertical line is a horizontal line, and vice versa.

__

3. To make the desired horizontal line go through the point (-8, -1) the y-value of the line must match that of the point:

  y = -1

__

5. To make the desired vertical line go through the point (-14, 81), the x-value of the line must match that of the point:

  x = -14

The value of the variable x will be {0, pi/2, pi}. Then the correct option is B.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The trigonometric equation is given below.

tan (3π/4 - 2x) = - 1

We know that the value of tan 3π / 3 is negative one. Then the equation will be

tan (3π/4 - 2x) = tan 3π/4

Apply inverse of tangent on both sides, then the equation will be

(3π/4 - 2x) = 3π/4, -π / 4

         - 2x = 0, -π

           2x = 0, π

             x = 0, π/2

Then the value of the variable x will be {0, pi/2, pi}.

Then the correct option is B.

The question was incomplete, but the complete question is given below.

Which values represent solutions to the equation? tan(3pi/4 - 2x) = -1, where x ∈ [0,pi]

A) {0, pi}

B) {0, pi/2, pi}

C) {0, pi, 2pi}

D) {0, pi/2, pi ⋅ 3pi/2}

More about the trigonometry link is given below.

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Answer:

a=0.8

Step-by-step explanation:

First I distributed 2.5 into (a+4) and got (2.5a+10)+0.5a=12.4. I then combined like terms which are 2.5a and 0.5a and got 3a+10=12.4. I subtracted 10 from both sides to get rid of it and got 3a=2.4. Later, I divided 3 from both sides to get a which comes out to be 0.8.

Hope this helps you :)

Answer:

1 bedroom = $280

2 bedroom = $400

3 bedroom = $560

Step-by-step explanation:

Given that :

Total rent received = 1240

Rent amount of 3 bedroom = 2 times rent of 1 bedroom

Let 1 bedroom = x

2 bedroom = y

3 bedroom = 2x

x + y + 2x = 1240

3x + y = 1240 ---(1)

Repair cost :

10% of x = 0.1x

20% of y = 0.2y

30% of 2x = 0.6x

0.1x + 0.2y + 0.6x = 276

0.7x + 0.2y = 276 - - - (2)

From (1)

y = 1240 - 3x

0.7x + 0.2(1240 - 3x) = 276

0.7x + 248 - 0.6x = 276

0.1x + 248 = 276

0.1x = 28

x = $280

1 bedroom = $280

3 bedroom = $280 * 2 = $560

2 bedroom = $1240 - $840 = $400

Answer:

15 track practices

Step-by-step explanation:

because 23 minus the 7 she already ran is 15 which she runs 1 each practice

Answer:

16

Step-by-step explanation:

because if you minus 7 from 23 you get 16 so she would have to have 16 practices