Answers
Answer:
X= 14
The acute angle measures 34 degrees.
The obtuse angle measures 146 degrees.
Step-by-step explanation:
To solve this question, start by solving for x. In order to solve for x, know that angle (10x+6) degrees and angle (3x-8) degrees is a supplementary angle. A supplementary angle is an angle in which the sum of two angles equal 180 degrees.
Since angle (10x+6) degrees and angle (3x-8) degrees is a supplementary angle, we know that the sum of the two angles equal 180 degrees. To find x, write an equation that sets angle (10x+6) degrees and angle (3x-8) degrees equal to 180 degrees. The equation will look like (10x+6) + (3x-8) =180. To start solving the equation, combine like terms, which will look like 13x-2=180. Next, add 2 to both sides, and the equation will look like 13x = 182. Then, divide both sides by 13, and x will equal 14.
Since the x is now known, the actual degrees of the angles can be found. To find the actual degrees of both angles, start by plugging 14 into each angle equation.
For 10x+6, plug 14 into x, and the equation will look like 10(14)+6. Next, simplify the equation, and the answer will be 146 degrees. The 146 degrees is the obtuse angle because an obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.
For 3x-8, plug 14 into x, and the equation will look like 3(14)-8. Next, simplify the equation, and the answer will be 34 degrees.The 34 degrees is the acute angle because acute angles measure less than 90 degrees.
To check if the angles are correct, add both angles, and the answer will equal 180 degrees, which then makes them supplementary angles.
Related Questions
Evaluate f(x) = 2x - 7 when x = 8.
Answers
Answer:
9
Step-by-step explanation:
Substitute 8 in place of x
f(x) = 2*8-7
f(x) = 9
Answer:
9
Step-by-step explanation:
plug in 8 where x is so it would look like
2(8)-7 = 9
do 2 *8 first which is 16
then do 16-7 which gives you 9
Which statement describes whether the function is continuous at x = 2?
O The function is continuous at x = 2 because f(2) exists.
O The function is continuous at x = 2 because lim f(x) exists.
X-2
The function is not continuous at x = 2 because f(2) does not exist.
The function is not continuous at x = 2 because lim f(x) does not equal f(2).
X-2
Answers
Answer: (b)
Step-by-step explanation:
Given
The function is given as
[tex]f(x)=\dfrac{x^2-12x+20}{x-2}[/tex]
Solving the function
[tex]f(x)=\dfrac{x^2-2x-10x+20}{x-2}\\\\f(x)=\dfrac{(x-2)(x-10)}{(x-2)}\\\\f(x)=x-10[/tex]
for [tex]x=2[/tex]
[tex]f(2)=2-10\\f(2)=-8[/tex]
The function is continuous at [tex]x=2[/tex] because [tex]\lim_{x \to 2} f(x)[/tex] exists.
If the limit exists at a point, then the function is continuous.
Answer:
on edge its fs not b or c
Step-by-step explanation:
3. Is XY Tangent to circle Z?
Y
12 X
(20
Z
18
Answers
Answer:
XY is a tangent
Step-by-step explanation:
Given
[tex]XY = 12[/tex]
[tex]WY = 20[/tex]
[tex]WZ = 8[/tex]
Required
Is XY a tangent?
XY is a tangent if:
[tex]WY^2 = XY^2 + WX^2[/tex]
Because XY should make a right angle at point X with the circle
Where
[tex]WX = 2 * WZ[/tex]
So, we have:
[tex]WY^2 = XY^2 + WX^2[/tex]
[tex]WY^2 = XY^2 + (2*WZ)^2[/tex]
[tex]WY^2 = XY^2 + (2WZ)^2[/tex]
[tex]WY^2 = XY^2 + 4WZ^2[/tex]
This gives:
[tex]20^2 = 12^2 + 4*8^2[/tex]
[tex]400 = 144 + 256[/tex]
[tex]400 = 400[/tex]
Yes, XY is a tangent
The times that a cashier spends processing individual customers' orders are independent random variables with mean 3.5 minutes and standard deviation 3 minutes. Find the number of customers n such that the probability that the orders of all n customers can be processed in less than 2 hours, is approximately 0.1. (Round your answer to the nearest integer.)
Answers
Answer:
26 customers
Step-by-step explanation:
First: determine the z score from standard normal probability table with an indicative area of 0.1
Z-score from probability table = - 1.28
mean = 3.5 minutes
std = 3 minutes
next determine the Z-score based on the information given in the question
Z = ( std - mean ) / processing time
= ( 3 - 3.5 ) / 2 = -0.25
Finally determine the number of customers
N = [tex](\frac{-1.28}{-0.25} )^2[/tex] = 1.6384 / 0.0625 = 26.21 ≈ 26 customers
In the first 1/6 hour of a rainstorm, 1/10 inch of rain fell. If the rain continued to fall at the same rate, how much rain fell in 2 1/2 hours?
Answers
Answer:
you should multiply or add
Step-by-step explanation:
Find the perimeter of a rectangle with a base of 12 ft and a height of 5 ft.
Answers
Answer:
P=34ft
Step-by-step explanation:
Solution
P=2(l+w)=2·(12+5)=34ft
Find the exact value of sin A in simplest radical form.
Answers
Using the sine rule,
[tex] \frac{a}{sin(a)} = \frac{b}{sin(b)} = \frac{c}{sin(c)} [/tex]
Here we are going to use the values of A and C,
[tex] \frac{12}{sin(a)} = \frac{14}{sin(90)} \\ \frac{12}{sin(a)} = \frac{14}{1} \\ sin(a) = 12 \div 14 \\ sin(a) = 0.8571[/tex]
So sin(A) = 12/14 = 6/7 = 0.8571, but since the question says in its simplest radical form, I think the closest answer to it should be
[tex] \frac{ \sqrt{3} }{2} [/tex]
Find the quotient: 28 ÷ 4 2/3
Answers
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Is the line a good fit for the data points plotted in the scatter plot below?
Answers
Find the length of arc AB.
Answers
Answer:
11.17
Step-by-step explanation:
arc length = 2πr(θ/360)
= 2π(8)(80/360)
= 11.1701072...
= 11.17 to nearest hundredth
a cylinder has a diameter of 12 and height of 12. the volume of the cylinder is:
A. 1728π cubic units
B. 288π cubic units
C. 144π cubic units
D. 432π cubic units
Answers
Find the length of the leg x. Enter the exact value, not a decimal approximation.
Answers
x = 2√13.
Step-by-step explanation:
Using the Pythagoras theorem:
14^2 = x^2 + 12^2
x^2 = 14^2 - 12^2
x^2 = (14 + 12)(14 - 12) = 52
x = √52
x = √4*√13
x = 2√13.
Pls help math lol. Yeah
Answers
Answer:
X = 65 degrees
Step-by-step explanation:
180 = 70 + 45 + X
180 = 115 + X
X = 65 degrees
Which of the following names the figure in the diagram below?
A. pentagon
B. prism
C. triangle
D. polygon
E.pyramid
F. square
Answers
Answer: Prism
Step-by-step explanation:
An isosceles right triangle has legs of equal length. If the
hypotenuse is 10 centimeters long, find the length of each leg.
Answers
Answer:
[tex] \displaystyle 5\sqrt{2}[/tex]
Step-by-step explanation:
we have a right angle isosceles triangle
in order to figure out the length of each leg we can consider Pythagoras theorem given by
[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]
remember that,
isosceles triangle has two equal legs so a=b and given that the the hypotenuse is 10
substitute:
[tex] \displaystyle {a}^{2} + {a}^{2} = {10}^{2} [/tex]
simplify addition:
[tex] \displaystyle {2a}^{2}= 100[/tex]
simplify square:
divide both sides by 2:
[tex] \displaystyle {a}^{2}= 50[/tex]
square root both sides:
[tex] \displaystyle {a}^{}= \sqrt{50}[/tex]
[tex] \displaystyle {a}^{}= 5\sqrt{2}[/tex]
hence,
the length of each leg is 5√2
PLEASE HELP FAST WILL MARK BRAINLIEST PLEASEEE
Answers
Answer:
[tex]\frac{8x^{18} }{y^{2} }[/tex]
Step-by-step explanation:
Which phrase describes the expression 505n ?
Answers
Answer:
I believe it would be "505 times n"
Step-by-step explanation:
If tis is not what you are looking for I am sorry, but the question was vague.
If Bill hiked 6.5 miles at a rate of 10.4 mph, how long did it take him to complete his hike?
Answers
Answer:
I think it depends how far bill wants to hike..
Step-by-step explanation:
OR
37 minutes and 30 seconds
Charlotte has 30 beads. She has 8 more red beads than blue beads. Which equation represents this situation? Please help :(
Answers
Answer:
The second answer choice is right
Step-by-step explanation:
Write 7 as a fraction with 3 in the denominator
Answers
Answer:
7/3
Step-by-step explanation:
7 is in numerator's and 3 is in denominator's position.
Find the value of x
Answers
Answer:
Yes the bots answer was deleted!
Anyways x = 29 because 29 + 151 = 180
Hope that helps!
which best describes a rectangle with diagonals that are perpendicular
Answers
Answer: If a parallelogram has diagonals that are perpendicular, it is a rhombus. … This definition can also be stated as: A square is a quadrilateral that is also a rectangle and a rhombus.
Step-by-step explanation:
A babysitter earns the same amount per hour. She earned $36 for 3 hours of babysitting. Which equation describes the relationship between x, the number of hours spent babysitting, and y, the total amount
in dollars earned?
Answers
Answer:
y= 12x
Step-by-step explanation:
36/3=12
12× x =y
________________________
Your pool is 80 ft long by 40 ft wide and the depth is 3ft to 8ft what is the pool volume?
Answers
Answer:
Since there are 7.5 gallons in each cubic foot, multiply the cubic feet of the pool by 7.5 to arrive at the volume of the. 3.14 x 25 ft x 3 ft x 7.5 = 1766.25 gallons
Step-by-step explanation:
solve for x. topic: pythagorean theorem
Answers
Answer: 44.59 or 44.6
Step-by-step explanation:
30^2+33^2= 900+ 1089
= 1989^2
square root = 44.6
hope this helps
Kiki has 1/6 pound of blueberries and 5/8 pound of raspberries.
What is the most accurate estimate for the difference between the pounds of berries?
Drag and drop an answer into each box to correctly complete the statements.
1/6 is closest to _____, and 5/8 is closest to_____. So the difference is closest ____.
0
1/2
1
Answers
Answer: Did this all by myself 1/6 is closer to 0 and 5/8 is closer to 1/2 so the answer is 1/2 0 then 1/2 then 1/3 again
Step-by-step explanation:
1/ 6 -5 /8 =(1 × 4 6 × 4) – (5 × 3 8 × 3) = 4 /24 – 15 /24 = 4 – 15 24 = – 11 24
Hi, i need to calculate roots x1 and x2 using the vieta theorem, can anyone help me? I have found the answer for x1 and x2, its 1,5 and 2, all i need is a solution on how to get this answer, the equation is in the picture, will give you brainliest if you type down the correct solution for me, thanks.
I have left a similar equation that i did. The only thing why i cant do the equation, because in front of x2 there’s an number, so i don’t understand.
Answers
Answer:
Solution given:
x²-12x+11=0
Comparing above equation with ax²+bx+c
we get
a=1
b=-12
c=11
By using Vieta's theorem
X1+X2=[tex] \frac{-b}{a} [/tex]=[tex] \frac{- -12}{1} [/tex]=12
again
X1X2=[tex] \frac{c}{a} [/tex]=[tex] \frac{11}{1} [/tex]=11
x1.x2=11
x1+x2=12
If you toss three coins, what are the odds in favor of getting exactly two tails and one head?
Answers
Answer:
I think the answer is 3:5
Answer:
3.5
Step-by-step explanation:
Twice a number , subtracted from 60 is 20. Find the number
Answers
Answer:
The number is 20.
Step-by-step explanation:
60 - 2y = 20
- 2y + 60 = 20
- 2y + 60 - 60 = 20 - 60
- 2y = - 40
- 2y ÷ - 2 = - 40 ÷ - 2
y = 20
Find The Surface Area Of the Figure Below.
Answers
Answer: 200cm
Calculation: 15cm times 8=120
20cm times 4= 80
Add 120+80= 200cm