Answers
Since ∠A and ∠B forms a straight line, ∠A and ∠B are a linear pair.
Linear pair:
A linear pair is the sum of two angles that forms a straight line (180°).
⇒ ∠A + ∠B = 180°
Measure of ∠A:
Subtract the measure of ∠B from 180 to determine the measure of ∠A.
⇒ ∠A = 180 - ∠B
Measure of ∠B:
Subtract the measure of ∠A from 180 to determine the measure of ∠B.
⇒ ∠B = 180 - ∠A
*Let us take a few examples to understand the concept better.
Example (Given measure of ∠B):Let the measure of ∠B (In the triangle shown) be 105°.
What is the measure of ∠A?
Solution:
Substitute the measure of ∠B in the equation ∠A = 180 - ∠B:
⇒ ∠A = 180 - ∠B⇒ ∠A = 180 - 105Simplify the equation:
⇒ ∠A = 180 - 105⇒ ∠A = 75°Therefore, the measure of ∠A is 75°.
Example (Given measure of ∠A):Let the measure of ∠A (In the triangle shown) be 60°.
What is the measure of ∠B?
Solution:
Substitute the measure of ∠A in the equation ∠B = 180 - ∠A:
⇒ ∠B = 180 - ∠A⇒ ∠B = 180 - 60Simplify the equation:
⇒ ∠B = 180 - 60⇒ ∠B = 120°Therefore, the measure of ∠B is 120°.
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Related Questions
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!
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
How did the x value change if it went from 4 to 6?
Answers
Hello 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
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.
Learn more here: https://brainly.com/question/23533399
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]
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 secondssolve using elimination
3x-y=17-x+y=-7
Answers
Answer:
x=5
Step-by-step explanation:
.
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
PLEASE SHOW ALL YOUR WORK!!!
If popsicles cost $1.92 per dozen, what would be the cost of 60 popsicles?
Group of answer choices
$10.10
$9.60
$9.75
Answers
The cost is of $9.60
Answer:
$9.60
Step-by-step explanation:
$1.92 = per dozen
60 = how many dozens?
12 = one dozen.
60/12 = 5
5 dozens in 60 popiscles
If we know that we have 5 dozens and it costs $1.92 per dozen, we can just multipty those two numbers.
1.92*5=9.60
So, the cost of 60 popsiciales is $9.60!
Alex has already saved $500 this summer. He wants to save at least $700. Create an inequality to show the amount of money, m. Alex still needs to save
Answers
Answer:
$200
Step-by-step explanation:
$700
-$500
$200
Therefore Alex needs to save $200 more to get the $700
please anwers
500x4-8/2
Answers
Answer:
the answer for 500×4-8/2 is 1996
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
help please i need help
Answers
Answer: it will be A And D
Step-by-step explanation:
Natalie was asked to find the angle measures of a triangle that has the ratio 1:3:5 . Natalie made a mistake in her work. Find the mistake and correct it.
Answers
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
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!
Correlation analysis is used to determine
Answers
Answer:
Correlation analysis is used to quantify the degree to which two variables are related.
Step-by-step explanation:
In research, correlation analysis is a statistical approach for calculating and measuring the strength of a linear relationship between two variables. Simply defined, correlation analysis determines how much one variable changes as a result of the change in the other. A high correlation indicates a strong association between two variables, whereas a low correlation indicates a weak relationship.
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
If you want to learn more about circles:
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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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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
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].
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 :)))))))
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
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
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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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.
solve the quadratic formula x^2+4x-3=0
Answers
Answer:
using quadratic equation formula
-b±/b²‐4ac all over 2a
In a classroom, 4/6of the students are wearing
sneakers. This is 3/6more than the fraction of the
students wearing boots. What fraction of the
students are wearing boots? Write an equation
to model the problem.
Answers
4/6-3/6=1/6
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
