Two angles form a linear pair. One angle measures (10x - 63). The other angle measures (8x)". What is the value of the larger

angle?

O 180

O 72

O 135

O 108

Answers

Answer 1

Answer:

108 degrees

Step-by-step explanation:

Given

Let the angles be A and B

[tex]A = 10x - 63[/tex]

[tex]B = 8x[/tex]

Required

Find the larger angle

If both angles form linear pair, then the following relationship exist:

[tex]A + B = 180[/tex]

Substitute values for A and B

[tex]10x - 63 + 8x = 180[/tex]

Collect Like Terms

[tex]10x + 8x = 180 + 63[/tex]

[tex]18x = 243[/tex]

Solve for x

[tex]x = \frac{243}{18}[/tex]

[tex]x = 13.5[/tex]

Substitute 13.5 for x in

[tex]A = 10x - 63[/tex]

[tex]B = 8x[/tex]

[tex]A= 10 * 13.5 - 63[/tex]

[tex]A= 135 - 63[/tex]

[tex]A= 72[/tex]

[tex]B = 8 * 13.5[/tex]

[tex]B = 108[/tex]

Hence, the larger angle measures 108


Related Questions

The sum of outer angles of a polygon is twice the sum of inner angles. How many sides does it have?

Answers

6The sum of the interior angles of a polygon is twice the sum of its exterior angles. Therefore, by solving we get n=6 sidesHOPE IT HELPS THANK YOU

Answer:

3 sides

Step-by-step explanation:

sum of exterior angles for all polygons is 360°

sum of interior angles for a polygon can be found by using the formula:

(n - 2) · 180°  where 'n' is the number of sides

'sum of outer angles' = 360

'twice the sum of inner angles' = 2n

360 = 2n

n = 180

a three-sided polygon (triangle) has 180 degrees

Hi please help me thank you!

Answers

THe correct option is the 3rd option

−8r
2
+11r−6
−7r
2
−9r+14

Answers

Answer:

Try to simplifying the expression.

− 28r  +  8

30 Points!

f(x) = 2x -4; Find f(x + 3)

Answers

Answer:

[tex]f(x) = 2x - 4 \\ f(x + 3) = 2(x + 3) - 4 \\ = 2x + 6 - 4 \\ = 2x + 2 \\ = 2(x + 1)[/tex]

(2x+2) is the right answer.

Evaluate the expression when x=8 and y=7.
64
— -у
x

Answers

Answer:

1

Step-by-step explanation:

64 divided by 8 is 8 and - 7 is 1 so your answer is one

Solve for x!!
1) x + 2(1.5x - 6) = 16
A) 4.25
B) 6
C) 6.5
D) 7

Answers

x + 2 (1.5x - 6) = 16
x + 3x - 12 = 16
4x - 12 = 16
4x = 16 + 12
4x = 28
4x / 4 = 28 / 4
x = 7

Therefore x is equal to 7
Option D

A line and a point _______ intersect

1. Always

2. Sometimes

3. Never

Answers

A line and a point always intersect

The circumference of a circle is 39.25 mm. What is the length of its diameter?

Answers

Answer:

d≈12.49mm

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

C = 2pir

39.25 = 2pir

(divide both sides by 2pi)

12.49366 = r

there are 12 jelly beans in a bag. bob eats a green jelly bean and then lets sally pick a jelly bean.is this independent or dependent probability

Answers

It’s a dependent probability due to the fact that he shared
The answer is dependent
Because bob picks a color jelly bean and then shares one with sally and let’s her pick a color jelly bean of her choice

I WILL GIVE BRAINLY! PLEASE HELP! PLEASEEEEE!!
Bob walks up to a tank of water that can hold 75 gallons. When it is active, a drain empties water from the tank at a constant rate. When Bob first sees the tank, it contains 15 gallons of water. 4 minutes later, the tank contains 12 gallons of water.

A. At what rate is the amount of water in the tank changing? answers: 3/4, -3, -3/4, 3
B. How many more minutes will it take for the tank to drain completely?
C. How many minutes before Bob arrived was the tank completely full?

Answers

Answer:

A) -3/4

B) 15 more minutes

C) 80 minutes

Step-by-step explanation:

A. rate of change = -3/4

B. 16 minutes

C. 1 hour 20 minutes

What is slope?

The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

Given:

A) At first the tank contain 15 gallons of water.

After 4 minutes the tank contain 12 gallons of water.

So, rate of change

=12-15/4-0

=-3/4

=-3/4

B) now, Let x be the number of minutes will it take for the tank to drain completely.

So,

(3/4 gallons per minute) *x = 12 gallons

x = 12*4/3

x = 16 minutes

C) As, the tank has capacity of 75 gallons.

So, the tank of water is full when there is 10 gallons of water which is 60 gallons more.

Let 'y' be the number of minutes before Bob arrived when the water tank was completely full.

(3/4) (y) = 60

y = 60*4/3

y=  80 minutes

y= 1 hour 20 minutes

Learn more about slope here:

https://brainly.com/question/14548961

#SPJ2

Tommy and Millie shared £100 in the ratio 3 : 2.
Work out how much Tommy received.
£

Answers

Answer:

£60

Step-by-step explanation:

3+2 = 5

£100/5 = £20

£20 x 3 = £60

Answer:

ok

Step-by-step explanation:

ok

1. A candy bowl in Blake’s kitchen has 12 red candies, 15 blue candies, 6 green candies, 11 yellow candies, and 16 orange candies. Blake randomly chooses one candy from the bowl without looking. What is the probability that he will choose a red, green, or orange candy? Express your probability answer as a fraction, decimal, and percent
plzzz help

Answers

Answer:

ask someone other

Step-by-step explanation:

PLEASE PLEASE HELP ME WITH THIS MAth QUESTION ASAP

Answers

Answer:

x=3.11

Step-by-step explanation:

Sin 15 degrees = x/12

multiply 12 on both sides to get rid of the denominator

now you have 12 times the sin of 15 degrees = x

which can also be written as 12 sin 15 = x

put 12 sin 15 into your calculator and you get 3.105828541 or just 3.11 when rounded to the nearest hundreth

#2
In OZ, m What is the length of PR?
A. 2/3 pi
B. 8/3 pi
C. 4/3 pi
D. 16/3 pi

Answers

Answer:

16/3 pie

Step-by-step explanation:

The rectangular pool is 45 feet x 18 feet. The fence needs to be 5 ft away from the edges of the pool or a 5 ft border. How many feet of fencing would you need? The area is 810ft

Answers

Answer:

The length of fencing is 146 feet.

Step-by-step explanation:

The length of fencing is equal to the perimeter of the rectangle plus 8 times the width of the border between the edge of the pool and the fence. By Geometry, we find that the perimeter ([tex]p[/tex]), measured in feet, is equal to:

[tex]p = 2\cdot (w+f)+2\cdot (l+f)[/tex] (1)

Where:

[tex]w[/tex] - Width of the pool, measured in feet.

[tex]l[/tex] - Length of the pool, measured in feet.

[tex]f[/tex] - Width of the border, measured in feet.

If we know that [tex]w = 45\,ft[/tex], [tex]l = 18\,ft[/tex] and [tex]f = 5\,ft[/tex], then the length needed of fencing is:

[tex]p = 2\cdot (45\,ft+5\,ft)+2\cdot (18\,ft+5\,ft)[/tex]

[tex]p = 146\,ft[/tex]

The length of fencing is 146 feet.

12 batteries cost $30 = ? dollars per battery

Answers

30 dollars/ 12 batteries
30/12 = 2.5
Solution: $2.50 per battery

Answer:

2.50

Step-by-step explanation:

You just divide 30 by 12... and that will give you the cost of one battery.

An artist mixes 25 ounce of blue paint with 115 ounce of green paint. Using the same ratio, how many ounces of green paint should she mix with 3 ounces of blue paint?

Answers

Answer:

Ounces of green paint needed = 13.8

Step-by-step explanation:

Blue paint : green paint = 25 : 115

how many ounces of green paint should she mix with 3 ounces of blue paint?

Let

Ounces of green paint needed = x

Blue paint : green paint = 3 : x

Equate both ratios

25 : 115 = 3 : x

25/115 = 3/x

25 * x = 115 * 3

25x = 345

x = 345/25

x = 13.8 ounces

Ounces of green paint needed = 13.8

please answer immediately.​

Answers

1. Angle L

2. A

3. Side PL

4. Side AR

5. A and K

6. B

7. Side Br

8. A

9. T

10. TA

What animal has the most bones

Answers

Answer:

Pythons is the answer

Casi drove 135 miles in 3 hours. Use a proportion to find how long it would take her to drive 360 miles at the same speed.

Answers

Answer:

8 hours

Step-by-step explanation:

We are given that

Casi traveled distance in 3 hours=135 miles

We have to find the time taken by Casi to drive 360 miles at the same speed using proportion .

Let time taken by Casi to drive 360 miles=x

We know that

Speed=[tex]\frac{Distance}{time}[/tex]

Using proportion

[tex]\frac{a}{b}=\frac{c}{d}[/tex]

[tex]\frac{135}{3}=\frac{36}{x}[/tex]

[tex]x=\frac{360\times 3}{135}[/tex]

[tex]x=8[/tex]

Hence, the time taken by Casi to drive 360 miles=8 hours

Find the value of x in the given
right triangle.
10
37°
x = [?]
Enter your answer as a decimal rounded to the
nearest tenth.
Enter

Answers

Answer:

x = 6.0

Step-by-step explanation:

As the given triangle is a right-angled triangle, we can use the trigonometric ratios to find the required length.

In the given triangle

Hypotenuse = 10

Perpendicular = x

Angle = 37°

As we know the value for perpendicular and hypotenuse, sine will be used.

[tex]sin\ 37 = \frac{Perpendicular}{Hypotenuse}\\sin\ 37 = \frac{x}{10}\\0.6018 = \frac{x}{10}\\x = 0.6018*10\\x = 6.018[/tex]

Rounding off to nearest tenth

x = 6.0

Hence,

x = 6.0

21. BRAINLIEST! URGENT!​

Answers

Answer:

100

Step-by-step explanation:

here we are solving for x

first plug in 100 for the ys in the equation

0.10x + 0.10(100) = 0.18(x + 100)

simplify

0.10x + 10 = 0.18x + 18

get x by itself

-8 = 0.08x

-100 = x

so the reasonable answer here would be 100

hope this helps <3

The answer is 100 hopefully it’s correct

what would the angle be! asap answer

Answers

Answer:

x = 111°

Step-by-step explanation:

Angles in a triangle add up to 180

180 - (29+82) = 69

Angles on a straight line add up to 180

180 - 69 = 111

Answer:

111°

Step-by-step explanation:

the sum of the outer angles of a triangle is alway 180

so 180-82-29= 69°

180-69= 111°

1. Write out the law of cosines and find the hypotenuse of triangle with 2 sides lengths equal to three and the included angle measuring 75 degrees.


2. What happens in law of cosines formula if the angle from the above question is changed to 90 degrees.

Answers

Answer:

1.) [tex]\sqrt{13.341}[/tex]  ≈ 3.652

2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.

Step-by-step explanation:

I think we may have the same class so hopefully this helps:

1.) [tex]a^2 = b^2 + c^2 - 2bccosA[/tex] --> law of cosines formula.

   [tex]a^2 = 3^2 + 3^2 - 2(3)(3)cos(75)[/tex] --> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.

   [tex]a^2 = 18 - 18cos75[/tex] --> in between steps.

   [tex]a^2 = 13.341[/tex] --> more simplifying.

   [tex]a(hypotenuse) = \sqrt{13.341} or 3.652[/tex] --> answer

2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.

Good luck! :)

   

15s-100=350 what is the value of s

Answers

Answer:

30

Step-by-step explanation:

15s-100=350

15s=350+100

15s=450

s=450/15

s=30

What symmetries have a parallelogram

Answers

Answer:

Rotational Symmetry

Step-by-step explanation:

Parallelograms have no lines of symmetry. But they do have rotational symmetry at 180°.

A Rotational Symmetry

Aaron travels a total of 60 miles to school each week. Aarushi travels 75% of the miles Sharon travels to school each week. how many miles does Aarushi travel to school each week?​

Answers

Answer:

45 miles

Step-by-step explanation:

Answer: 45 miles

HOPE THIS HELPS

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

3.67
...................

Answer:

Shredder A shreds about 3.67 pounds of paper per minute.

Step-by-step explanation:

1100 pounds/(5 * 60 minutes)

1100 pounds/300 minutes

3.6666...7 pounds/minute

3.67 lb/min

find the sum of the first 40 multiples of 7​

Answers

Answer:

The number series 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, . . . . , 280. Therefore, 5740 is the sum of first 40 positive integers which are divisible by 7

Step-by-step explanation:

Please help me with this

Answers

Answer: 1/7

Step-by-step explanation:

slope = y2-y1/x2-x1

(10 - 9) / (8-1) = 1/7

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