HELP!!! ASAP!!
Given: ABCD is an inscribed polygon.
Prove: ∠D and∠B are supplementary angles.
Answers
Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
ABCD is an inscribed polygon ⇒ Given
m∠ABC = 2(m∠D) ⇒ Inscribed Angle Theorem
m∠CDA = 2(m∠B) ⇒ Inscribed Angle Theorem
m∠ABC + m∠CDA = 360° ⇒ The sum of arcs that make a circle is 360°
2(m∠D) + 2(m∠B) = 360° ⇒ Substitution property
m∠D + m∠B = 180° ⇒ Division Property of Equality
Hence, ∠D and ∠B are supplementary angles
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Related Questions
In the unit, you found the probability of a compound event by identifying the sample space. However, it is also possible to find the probability of a compound event without finding the sample space. To do this, multiply the probability of the first event by the probability of the second event. For example, the probability of flipping heads twice on a coin is . Using this idea, what is the probability that the next cougar and bear caught will both be unmarked?
Answers
Answer:
0.07%
Explanation:
I helped somebody else with the same question! haha
The polygons are similar but not necessarily drown to scale. What is the value of x?
Answers
Answer: 38
Step-by-step explanation:
Since the polygons are similar, the corresponding sides are all in the same proportions.
x-2/4.5 = 16/2 = 48/6
Solving for x
[tex]\frac{x-2}{4.5}=\frac{48}{6}[/tex]
[tex]\frac{x-2}{4.5}=8[/tex]
[tex]\frac{4.5\left(x-2\right)}{4.5}=8\cdot \:4.5[/tex]
[tex]x-2=36[/tex]
[tex]x-2+2=36+2[/tex]
[tex]x=38[/tex]
Therefore, the value of x is 38
PLEASE HELP ME IGIVE YA'LL 12 POINTS PLEASE HELP ME
Directions: Factor the following trinomials containing negative numbers. Follow the rules for operations with signed numbers to identify the correct binomial factors.
1. x2 + 6x - 7
2. x2 - 5x + 6
3. x2 - 6x - 7
4. x2 + 5x - 6
5. x2 + x - 12
6. x2 - 2x - 8
7. x2 - 4x - 5
8. x2 + 2x - 3
9. x2 - 16
10. x2 - x - 12
11. x2 -9x + 18
12. x2 -5x - 14
13. x2 - 7x + 10
14. x2 -11x + 24
15. x2 - x - 30
Answers
This is the diamond method and helps before you can do it in your head after a bit of practice.
Hope it helps!
Answer:
Step-by-step explanation:
1. x2 + 6x - 7
2. x2 - 5x + 6
3. x2 - 6x - 7
4. x2 + 5x - 6
5. x2 + x - 12
6. x2 - 2x - 8
7. x2 - 4x - 5
8. x2 + 2x - 3
9. x2 - 16
10. x2 - x - 12
11. x2 -9x + 18
12. x2 -5x - 14
13. x2 - 7x + 10
14. x2 -11x + 24
15. x2 - x - 30
30 POINTS!!!!! (answer with work please)
1) A cone with volume 1350 m³ is dilated by a scale factor of 1/3. What is the volume of the resulting cone?
2) The top of the silo is a hemisphere with a radius of 11 ft. The bottom of the silo is a cylinder with a height of 38 ft. How many cubic feet of grain can the silo hold? Use 3.14 for pi and round your answer to the nearest cubic foot.
Answers
Answer: The answer is 50 m³.
Step-by-step explanation: We are given to find the volume of the cone cone after being dilated by a factor of one-third from a cone with volume 1350 m³.
The volume of a cone with base radius 'r' units and height 'h' units is given by
[tex]V=\frac{1}{3}\pi r^2h.[/tex]
Therefore, if 'r' is the radius of the base of original cone and 'h' is the height, then we can write
[tex]V=\frac{1}{3}\pi r^2h=1350[/tex]
⇒ [tex]\pi r^2h=4050.[/tex]
Now, if we dilate the cone by a scale factor of , then the radius and height will become one-third of the original one.
Therefore, the volume of the dilated cone will be
[tex]V_d=\frac{1}{3}\pi (\frac{r}{3})^2\frac{h}{3} =\frac{1}{81}[/tex] × [tex]\pi r^2h=\frac{1}{81}[/tex] × [tex]4050=50[/tex]
Thus, the volume of the resulting cone will be 50 m³.
To solve a system of equations, you cannot replace a variable with an equal value or expression
Answers
Answer: This is FALSE, you can replace a variable with an equal value or expression
Step-by-step explanation:
If you can substitute an unknown variable with another equal expression, you can then solve for another variable, and with that equal expression, solve for the first variable.
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Mrs. Homan's first period class watched out the window and recorded the color of the cars that drove by the school. They found that 19 our of 50 cars were red. If 7200 cars drive by the school each day, how many are expected to be red?
Answers
Answer:
2736/7200 or 19/50
Step-by-step explanation:
7200/50 = 144
19 x 144 =
2736/7200 =
1368/3600 =
684/1800
342/900
171/450
57/150
19/50
PLSS HELP ME WITH THIS!! 20 POINTSS The following graph shows a proportional relationship. What is the constant of proportionality between y and a in the graph?
Answers
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The gradient of this graph is 2/3 so the equation of the line is
[tex]y= \frac{2}{3}x[/tex]
However, the question is asking for proportionality which has the equation:
[tex]y=kx[/tex]
So k in this instance is [tex]\frac{2}{3}[/tex].
Adele ate 1/4 of a hamburger in 5/6 of a minute. How many minutes will it take her to finish the entire hamburger?
Answers
Answer:
3 minutes 20 seconds
Step-by-step explanation:
Time taken to eat 1/4 of a hamburger = 5/6 minute
The entire burger = 4/4Since 1 x 4 = 4, it will take 4 times the amount of time taken to eat 1/4 of a hamburgerSolving
T = 5/6 x 4 minutesT = 20/6 minutesT = 3 2/6 mintuesT = 3 minutes 20 secondsHello Please Find The Answer To This Question (easy) Part 2
Answers
Answer:
y=[tex]-\frac{1}{6}[/tex]x-2
Step-by-step explanation:
by using this website
its a graphing calculator
desmos. com/calculator
how many gallons are in 8 1/4?
Answers
The total number of gallons in 8.25 quartz is 2.0625 gallons
Conversion of gallons to quartzAccording to the given question, we are to convert 8 1/4 quartz to gallons
According to the standard conversion
1 gallons = 4 quarts
x = 8.25 quartz
Take the ratio
1/x = 4/8.25
4x = 8.25
x = 8.25/4
x = 2.0625 gallons
Hence the total number of gallons in 8.25 quartz is 2.0625 gallons
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Determining Continuity
Use the graph to answer the question.
Using limits, for which value of x is the function
continuous? Check all that apply.
-2
-1
0
3
5
Answers
Answer:
A, C, E
Step-by-step explanation:
i got the question wrong so yall could get it right
x-1/4x-8 divided x-2/x2-5x+6
Answers
Answer:
Step-by-step explanation:
Factorize x² - 5x + 6
x² - 5x + 6 = x² - 3x - 2x + 6
= x(x - 3) - 2(x - 3)
= (x - 3)(x -2)
[tex]\sf \dfrac{(x -1)}{4x -8} \ \div \dfrac{x-2}{x^2-5x + 6} = \dfrac{x -1 }{4x-8} * \dfrac{x^2 - 5x + 6}{x -2}[/tex]
[tex]\sf = \dfrac{(x -1)}{4x-8)}*\dfrac{(x-3)(x-2)}{(x-2)}\\\\ [\text{\bf (x-2) in the numerator and denominator will be cancelled}]\\\\\\= \dfrac{(x -1)(x-3)}{4x-8}\\\\=\dfrac{x*x + x*(-3) + (-1)*x + (-1)*(-3)}{4x-8}\\\\=\dfrac{x^2-3x -x + 3}{4x -8}\\\\=\dfrac{x^2-4x +3}{4x-8}[/tex]
Which type of individuals within a species is most likely to survive and reproduce.
A. The best camouflaged against predators.
B. The most intelligent.
C. The strongest.
D. The best adapted to their environment.
Answers
Answer:
B.
Step-by-step explanation:
if smart, they can hide
How close together can two prime numbers be if they are both greater than 5? Why can they not be closer?
Answers
Answer:
2 numbers apart (17 and 19)
Step-by-step explanation:
Eaxh other number is even, and 5, 3, and 9 are sometimes not prime. 1 is prime though.
Hope this helps!
Find the slope of a line that passes through the points (2, 3) and (0, 2).
(slope, 50 points.)
Answers
Answer:
1/2
Step-by-step explanation:
To find the slope, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 2-3)/(0-2)
= -1/-2
= 1/2
Answer:
Slope = 0.5
Step-by-step explanation:
Given: Line passes through (2, 3) and (0, 2)
[tex]\text{Slope formula} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute the coordinates in the formula and solve for the slope;
[tex]\implies \text{Slope formula} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]\implies\text{Slope formula} = \dfrac{2 - 3}{0 - 2}[/tex]
[tex]\implies\text{Slope formula} = \dfrac{-1}{-2}[/tex]
[tex]\implies\text{Slope formula} = \dfrac{1}{2} = 0.5[/tex]
Therefore, the slope of the line is 0.5.
Solve the following expression for t select all that apply
A:9
B:42
C: 45
D: t+3=45
Answers
Answer:
Option B ([tex]42[/tex]) and D ([tex]t + 3 = 45[/tex])
Step-by-step explanation:
Step 1: Multiply both sides by 15
[tex]\frac{t + 3}{15} = 3[/tex]
[tex]\frac{t + 3}{15} * 15 = 3 * 15[/tex]
[tex]t+3=45[/tex]
Step 2: Subtract 3 from both sides
[tex]t + 3 -3 = 45 -3[/tex]
[tex]t = 42[/tex]
Answer: Option B ([tex]42[/tex]) and D ([tex]t + 3 = 45[/tex])
Here my Answer :)))))))
*BRAINLIEST* (EASY QA: Warm UP) Find a positive solution to each equation: x2 = 1/4
A.
x = 1
B.
x = 4
C.
x = 1/2
D.
x = 1/4
E.
No positive solution
SHOW EXPLANATION FOR BRAINLIEST
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's get it solved :} [/tex]
[tex] \sf{x² = \dfrac{1}{4}} [/tex][tex] \sf{x = \sqrt{\dfrac{1}{4}}} [/tex][tex] \sf{x= \pm{\dfrac{1}{2}}} [/tex][tex] \sf{x ={\dfrac{1}{2}} } [/tex][tex] \textsf{[ since we need positive solution ]} [/tex]
[tex] \textsf{Correct choice is C} [/tex]
Answer:
C. x = 1/2
Explanation:
[tex]\sf \rightarrow x^2 = \dfrac{1}{4}[/tex]
[tex]\sf \rightarrow x=\sqrt{\dfrac{1}{4}},\:x=-\sqrt{\dfrac{1}{4}}[/tex]
[tex]\sf \rightarrow x=\dfrac{1}{2},\:x=-\dfrac{1}{2}[/tex]
As asked for positive solution (+)
[tex]\sf \rightarrrow \sf \rightarrow x=\dfrac{1}{2}[/tex]
Given the tree concentric circles, with radius 1 unit, 2units, 3 units, do the following
Answers
For the 3 circles, in increasing order of the radius, we have:
L₁ = 2.09L₂ = 4.18L₃ = 6.28How to get the arc lengths of the circles?For a circle of radius R, the arc defined by an angle θ (in degrees) is given by:
L = (θ/360°)*2pi*R
Where pi = 3.14
In this case, we have 3 circles of different radius, and θ = 60°, then we have:
circle 1:
radius = 1 unit, then:
L₁ = (60°/180°)*2*3.14*1 = 2.09
circle 2:
radius = 2 units, then:
L₂ = (60°/180°)*2*3.14*2 = 4.18
circle 3:
radius = 3 units, then:
L₃ = (60°/180°)*2*3.14*3 = 6.28
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What is the slope of the line that
passes through these two points?
(-1,4)
(2, 2)
slope
Remember, given two points,
(x1.yu)
(x, y
Slope
rise (y2-yı)
run (x2-1)
Answers
Answer:
slope= -2/3
explanation: 2-4/2+1
explanation. bc i sadi
please anwers
500x4-8/2
Answers
Answer:
the answer for 500×4-8/2 is 1996
solve using elimination
3x-y=17-x+y=-7
Answers
Answer:
x=5
Step-by-step explanation:
.
how many different roots does the polynomial function have y = (x-2)(x+3)^2 have
Answers
Answer:
[tex]x=2,-3[/tex]
Step-by-step explanation:
Set [tex](x-2)(x+3)^2[/tex] equal to [tex]0[/tex].
[tex](x-2)(x-3)^22=0[/tex]
Solve for [tex]x[/tex].
If any individual factor on the left side of the equation is equal to [tex]0[/tex], the entire expression will be equal to [tex]0[/tex].
[tex]x-2=0\\(x+3)^2=0[/tex]
Set the first factor equal to [tex]0[/tex] and solve.
Set the first factor equal to [tex]0[/tex].
[tex]x-2=0[/tex]
Add [tex]2[/tex] to both sides of the equation.
[tex]x=2[/tex]
Set the next factor equal to [tex]0[/tex] and solve.
Set the next factor equal to [tex]0[/tex].
[tex](x+3)^2=0[/tex]
Set the [tex]x+3[/tex] equal to [tex]0.[/tex]
[tex]x+3=0[/tex]
Subtract [tex]-3[/tex] from both sides of the equation.
[tex]x=-3[/tex]
The final solution is all the values that make [tex](x-2)(x+3)^2=0[/tex] true.
[tex]x=2,-3[/tex]
Provide the reflected ordered pair for each of the given ordered pairs.
Answers
Answer:
so i have a little trick for you. Reflecting across the x axis is just turning (x,y) to (x, -y)
Reflecting across the y axis is just turning (x, y) to (-x, y)
If we substitute that in we can figure it out
so
(0, 3) we have to turn it to (x, -y), so it would end up being (0, -3). That is the reflection axross the x axis.
(-4,5) we have to turn it to (-x,y) which will be (4,5) because a negative and a negative is positive. so (4,5) is the ordered pair reflected across the y axis! Hope it helps :D
Step-by-step explanation:
Find the value of log1/1000
Answers
just do it with a calculator the answer is -3
Answer:
-3
Step-by-step explanation:
log (1/1000)
log ( 10^-3)
= -3
A musician uploads a music video to the Internet and sends a link to the video to 4 friends. Each friend then sends the link to 4 different friends. These 4 friends then send the link to 4 different friends. The musician estimates that about 25% of the people who get the link won't view the video. Complete and evaluate an expression to show how many friends the musician estimates will see the video.
The expression is 43 − (43 ×
).
So, the musician estimates that
people will see the video.
Answers
Answer:
the answer is 43-43x
Step-by-step explanation:
I don't know if that was the answer that you where looking for. respond to my answer if this did or not help you.
How did the x value change if it went from 4 to 6?
Answers
help please i need help
Answers
Answer: it will be A And D
Step-by-step explanation:
A shopping center keeps track of the number of customers in each store at lunchtime. The data shows the number of customers in the 15 different stores in the shopping center last Sunday.
4, 18, 20, 17, 16, 23, 19, 14, 8, 8, 6, 12, 10, 14, 18
Create a histogram of this data.
To create a histogram, hover over each number of customers range on the x-axis. Then click and drag up to plot the data.
Answers
Answer:
0-4 should go up to 1 5-9 should go up to 3 10-14 should go up to 4 15-19 should go up to 5 20-14 should go up to 2
Step-by-step explanation:
Hope this helps!
A bucket holding several inches of water was placed under a leaking faucet. Water leaked into the bucket so that the level of the water in the bucket increased by a certain number of inches per hour. The equation y=2x+4 represents this situation, where x is the number of hours and y is the number of inches of water in the bucket. What does the number 4 in the equation represent? A total of 4 inches of water leaked into the bucket. The bucket initially held 4 inches of water. The water level decreased by 4 inches per hour. The water level increased by 4 inches per hour.
Answers
The number 4 represents the initially held water of the bucket. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A bucket holding several inches of water was placed under a leaking faucet.
Water leaking into the bucket so that the level of the water in the bucket increased by a certain number of inches per hour.
The equation y = 2x + 4 represents this situation, where x is the number of hours and y is the number of inches of water in the bucket.
Then the number 4 in the equation represents.
The number 4 represents the initially held water of the bucket.
More about the linear system link is given below.
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what is the remainder for the synthetic division problem? (image attached)
Answers
Answer:
D
Step-by-step explanation:
3 | 1 5 - 8 6
↓ 3 24 48
----------------------
1 8 16 54 ← Remainder
