Angels ABC and DEF are supplementary angles. The measure of angle ABC, in degrees, is given by the expression 2x + 10. The measure of angle DEF, in degrees, is given by the expression 3x - 15. What is the value of x?
Answer:
x = 31°
Step-by-step explanation:
Recall ;
Supplemtary angles summ up to 180°
Given that :
ABC and DEF are Supplementary angles and hence sum up to 180°
ABC + DEF = 180°
(2x + 10) + (3x + 15) = 180
2x + 10 + 3x + 15 = 180
2x + 3x + 10 + 15 = 180°
5x + 25° = 180°
5x = 180 - 25
5x = 155
x = 155 / 5
x = 31°
The radius of a circle is 3 yards. What is the circle's area?
r=3 yd
)) Use 3.14 for a.
A triangle has sides with lengths of 12 yards, 17 yards, and 20 yards. Is it a right triangle?
Answer:
190.9
Step-by-step explanation:
Find the measure of angle 5, if m<2 is 120°
Answer:
m< 5 = 30°Step-by-step explanation:
I hope that is useful for you :)
Please help, I have no idea what is happening!!!
Perform the indicated operation.
Answer:
Yay
Step-by-step explanation:
I get points :3
Answer is 3/4 (I TOOOTALLY did this by myself)
What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a
cubic meter?
Answer:
2145.5m^3
Step-by-step explanation:
volume of a sphere= 4/3 pi r^34/3×22/7×8×8×82145.52since the hundredths value is less than 5 the answer remains the same hence answer 2145.5m^3❗❗❗PLS I NEED HELP ON THIS I DON'T UNDERSTAND PLS HELP❗❗❗❗❗❗
❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗
Answer:
3) H' = (-5,-4) I' = (-2,2) J' = (-2,-4)
4) K' = (-8,-3) L' = (-8,-8) M' = (-6,-8)
5) N' = (2,1) O' = (1,6) P' = (-2,3)
6) Q' = (0,3) R' = (-1,-2) S' = (3,1)
Step-by-step explanation:
All you have to do is exactly what the directions tell you to do. First, plot the original image of the triangle (The letters without the apostrophe (') behind it), and then recreate it on the opposite side of whatever axis it tells you to. The x-axis is the horizontal line, and the y-axis is the vertical line.
When you're doing this, think of it as a mirror. The mirror is whatever line it tells you to reflect the image across. The final product will be the exact same image, but reversed to the opposite of the axis chosen.
Let me know below in a comment if something confused you in my explanation, I'll try my best to re-word it better so you can understand :)
Which of the following is a proportion?
Answer:
the second one
Step-by-step explanation:
The compound interest on a sum of money in 2 yes and 4 yrs are 5460 and 12060.6 then find principle
Answer:
2471.81
Step-by-step explanation:
Let I be the interest, r the annual rate and P the principal. Then:
I = P(r)^2 = 5460
I = P(r)^4 = 12060.6
so r^2 = P(r)^4 / P(r)^2 = 12060.6/5460
r^2 = 2.2089
r = 1.486
So P(r)^2 = P* 2.2089 = 5460
P = 5460 / 2.2089 = 2471.81.
Point P' is the image of the point P after a counterclockwise rotation of 90 degress about the origin. If the coordinates of point P' are (-7,-3) what are the coordinates of point P?
A. (-3,-7)
B. (-3,7)
C. (3,-7)
D. (3,7)
Please can someone help me out with this- I’m really stuck on this problem and I can’t get off of it cause I failed it to much :/
CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! plzzzzzz help
Answer:
4
Step-by-step explanation:
Line f is 4 units from the x-axis.
ASAP!!! PLEASE HELP ILL GIVE U BRAINEST!
Find the LENGTH of Arc AB.
HERE I FOUND IT
Find the LENGTH of Arc AB.
A car is purchased for $30,000. The value of the car depreciates annually so that it is $24,000 after 1 year, $19,200 after 2 years, and $15,360 after 3 years. Why can this situation be modeled using an exponential function?
The value of the car depreciates annually by 20%.
The value of the car depreciates annually by 80%.
The value of the car depreciates annually by $6,000.
The value of the car depreciates annually by $4,800.
Answer:
It annually drops by 20%
Step-by-step explanation:
30,000 multiplied by 20% is 6000. Subtract 6000 from 30,000 and you get 24,000. 24,000 multiplied by 20% is 4,800. Subtract 4,800 from 24,000 and you get 19,200. Etc.
HELP PLEASE ASAP A rectangular prism has a length of 19 meters, a height of 13 meters, and a width of 14 meters. What is its volume, in cubic meters?
Answer:
3458
Step-by-step explanation:
What is the equation used to find the nth term of the arithmetic sequence:
-8, -5 -2, 1, 4
Answer:
aₙ = 3n - 11Step-by-step explanation:
The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]
d = -5 - (-8) = - 5 + 8 = 3
a₁ = -8
Therefore:
[tex]a_n =-8+3(n-1)\\\\a_n =-8+3n-3\\\\a_n =3n-11[/tex]
Andy constructed a triangle. Angle 1 and 2 are the same size and angle 3 has a measurement of 100 degrees. What is the measurement of angle 1 and angle 2?
a , 30
b 40
c 60
d 90
Answer:
Angle 1: 40
Angle 2: 40
Step-by-step explanation:
A triangle's angles will ALWAYS add up to 180 degrees total, therefore you can subtract 100 from 180 to find what the measure of A and B are combined.
180 - 100 = 80
So now we know Angles A and B add to 80 degrees, but individually, each is half of that, so both are 40 degrees.
Quadrilateral A B C D is the image of a quadrilateral ABCD under a rotation about point P
Determine the angle of the rotation
-105
-75
75
105
Answer:
D. 105°Step-by-step explanation:
If we connect points C and C' with the center of rotation P, the angle CPC' appears greater than 90°, so the angle could be 105° or - 105°
Since the rotation is counterclockwise the angle of rotation is deemed as positive.
Correct choice is D.
14 more to go please help
Answer:
B) 31.25%
Step-by-step explanation:
Michael owns a small business selling clothing. He knows that in the last week 39 customers paid cash, 30 customers used a debit card, and 2 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
Answer:
0.03
Step-by-step explanation:
!
pls help me its pls——
Answer:
Sorry but I love you
Step-by-step explanation:
Part D How do the measures of the sides and angles of ABC compare with the corresponding measurements in the three Images?
Answer:
The measurements of the sides and angles of triangle ABC are the exact same as the measurements in the three images.
Step-by-step explanation:
please mark as Brainliest :)
A: {-6, -3, 0, 3, 6}
B: {-5, -3, -1, 1, 2}
C: {-6, -5, -3, -1, 0, 3, 6}
D: {-6, 6}
Step-by-step explanation:
You need to find the function
If an item is discounted by 5 percent, and the final price is 57, what is the original price of the item?
Answer:
$59. 85 or rounding, $60 (I AM NOT COMPLETELY SURE)
Step-by-step explanation
I changed the percentage into a decimal (.05) and then multiplied it by the final price (57). After multiplying, I got, $2.85. I then added that to the final price to get, $59.85.
Write an expression equivalent to
72 using operations with
exponents.
(Will mark brainliest)
Answer:
Step-by-step explanation:
2x6²( = 2x36 ) = 72
The function f(x)=240x represents the cost of staying at a particular hotel for x nights at the full room rate of $240 per night. The hotel gives its rewards members a discount based on the length of their stay. Each additional night that rewards members stay earns them an additional 5% discount on the total cost of their stay up to a 30% discount. The function d(x)=0.05(x-1) for 1 < x ≤ 7 represents the percentage discount in decimal form for a rewards member staying x nights at the hotel.
(a) Write an equation in simplified form to represent (fd)(x).
(b) Evaluate (fd)(4), and explain what this value represents.
I WILL OFFER BRAINLIEST FOR THE BEST ANSWER!!! HURRY NOW!!
A customer earns 1 free night per 10 nights stayed.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Here, we have,
A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.
f(x)=x/10
When we put x=10, we get f(1)=10/10=1
Here f(1) represents the number of free nights earned by the customer is 1 per 10 nights stayed.
When we put x=20, we get f(2)=20/10=2
Here f(2) represents the number of free nights earned by the customer is 2 per 20 nights stayed.
When we put x=30, we get f(3)=30/10=3
Here f(3) represents the number of free nights earned by the customer is 3 per 30 nights stayed.
When we put x=40, we get f(4)=40/10=4
Here f(4) represents the number of free nights earned by the customer is 4 per 40 nights stayed.
Then, the pattern permits you to conclude that a customer earns 1 free night for every 10 nights stayed.
To know more about functions:
brainly.com/question/1383113
#SPJ2
complete question:
a hotel offers a reward program based on the number of nights stayed. the function f(x) represents the number of free nights earned as a function of x, the number of nights stayed. f(x)
The outcome of the first event does affect the outcome of the second, so that the probability is changed
Answer:
Dependent Events
Step-by-step explanation:
Suppose we have 3 balls 1,2,3 and we have to find the probability of choosing one ball.
If the first ball is chosen the probability will 1/3 leaving behind 2 balls in the bag. If the first ball is not replaced and we have to choose again the probability of choosing the second or third ball would be 1/2 which is changed from the original probability of choosing 1 ball out of 3. In this the outcome of the first event does affect the outcome of the second, so that the probability is changed. This is when choosing is done without replacement.
In this the events are called dependent events.
Consider this scenario again and suppose we replace the first ball after it is chosen back into the bag. Then again we choose another ball . And the probability of choosing the second ball after replacement remains the same as choosing the first ball. In this he outcome of the first event does not affect the outcome of the second, so that the probability remain the same. This is done by replacement.In this the events are independent.
What is the graph of one cycle of a sine curve with amplitude 5, period pi, and a>0?
What is an equation for the sine curve in the form y=asinb0?
a. y=2sin50
b. y=5sinpi0
c. y=5sin20
d. y=5sin1/2 0
Answer:
c is correct
Step-by-step explanation:
if u have the equation y = a sin b (x),
a is the amplitue (regardless of + or - before it) and 2pi / b = period. so we can deduce that a = +5 or -5 and b = 2, but then it says a>0, so therefore a must be 5 and b is still 2, so the equation is y= 5 sin2(O)
please help, need help asap!
Ummmm so I tried to figure it out but I’m really confused pls help
Answer:
The price of one ticket is $76.
Step-by-step explanation:
5% of $330 is $16.50 and 45% of $330 is $148.50. Add those two together and then add $13 to it. You should get 178 and subtract it from 330 which leads you to 152. It asks for the price of one ticket, so you divide that by 2 which results to $76.
