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
The sum of outer angles of a polygon is twice the sum of inner angles. How many sides does it have?
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!
THe correct option is the 3rd option
−8r
2
+11r−6
−7r
2
−9r+14
Answer:
Try to simplifying the expression.
− 28r + 8
30 Points!
f(x) = 2x -4; Find f(x + 3)
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
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
A line and a point _______ intersect
1. Always
2. Sometimes
3. Never
The circumference of a circle is 39.25 mm. What is the length of its diameter?
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
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?
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.
£
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
Answer:
ask someone other
Step-by-step explanation:
PLEASE PLEASE HELP ME WITH THIS MAth QUESTION ASAP
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
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
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
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?
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.
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
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.
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
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!
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
what would the angle be! asap answer
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.
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
Answer:
30
Step-by-step explanation:
15s-100=350
15s=350+100
15s=450
s=450/15
s=30
What symmetries have a parallelogram
Answer:
Rotational Symmetry
Step-by-step explanation:
Parallelograms have no lines of symmetry. But they do have rotational symmetry at 180°.
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?
Answer:
45 miles
Step-by-step explanation:
Answer: 45 miles
HOPE THIS HELPS
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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
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
Answer: 1/7
Step-by-step explanation:
slope = y2-y1/x2-x1
(10 - 9) / (8-1) = 1/7