Answers
Answer:
Exterior Angle Property of a Triangle
Step-by-step explanation:
According to exterior angle property of a triangle , the measure of any one exterior angle of a triangle is equal to the the sum of measure of it's opposite interior angles.
The relationship between angles 1, 2 and 3 is that they follows exterior angle principle. Therefore, ∠3 = ∠2 + ∠1
Exterior angle theoremThe exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
In other word, the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles
Therefore, the angle 3 is related to angle 1 and 2(remote interior angles) by the exterior angles theorem. Mathematically, this can be represented as follows:
∠3 = ∠2 + ∠1
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Related Questions
HELP PLEASE!!! I just need someone to answer it so that this can help others!!!
Answers
Answer:
Bro its right
Step-by-step explanation:
What is the solution of the equation x + 12.23 = 28.659?
X =
Answers
Answer:
X=16.429
Step-by-step explanation:
move the constant to the right
calculate
28.659-12.23
=
16.429
The expression on the left side of an equation is shown below. Negative 6 x + 6 = box If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation? –6 1 Negative 6 x Negative 6 x + 6
Answers
Answer:
The answer is -6x + 6
Step-by-step explanation:
For us to have an infinite number of solutions, then, what we have on the right hand side will be exactly what we have on the left hand side
Since we have -6x + 6 on the left hand side
To have infinite number of solutions, what we have on the right hand side will be the same
Thus, we have -6x + 6 on the second side
Answer:
It's D
Step-by-step explanation:
I just did it on edge
A bag contains green tokens and black tokens. There are 24 green tokens in the bag. The ratio of green tokens to black tokens is 8 to 5. Find the number of black tokens in the bag.
Can I have the answer please?
Answers
Answer:
There are 15 Black tokens.
Step-by-step explanation:
If the ratio is 8:5 we divide 24 by 8 to get 3. We then do 5 x 3 for the black tokens and get 15.
The number of black tokens in the bag are 15.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
In the bag, there are 24 green tokens in the bag.
And, The ratio of green tokens to black tokens is 8 to 5.
Now,
There are 24 green tokens in the bag.
And, The ratio of green tokens to black tokens is 8 to 5.
So, Number of green tokens = 8x
And, Number of black tokens = 5x
Hence, We can formulate;
⇒ 8x = 24
⇒ x = 3
Thus, Number of black tokens = 5x
= 5 × 3
= 15
Therefore, The number of black tokens in the bag are 15.
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Can someone please help with this question please I need help?!
Answers
Answer: B
Step-by-step explanation:
Each month, the person seems to grow taller. So, there IS a positive association between height and age.
Giving brainliest to the correct answer 20 points!!!
Answers
Answer:
x, (40,0)
y, (0,15)
hope it helps
Answer:
78
Step-by-step explanation:
hvtyvyuhj7
Micah sketches the graph below to represent a scenario his teacher gave him.
On a graph, a line goes through points (0, 2) and (2, 4).
Which scenario could Micah’s graph represent?
Valerie has $1 and then earns $2 per week (where x is the number of weeks) in allowance, for a total of y dollars.
Valerie has $2 and then earns $1 per week (where x is the number of weeks) in allowance, for a total of y dollars.
Valerie earns $1 per week (where x is the number of weeks) in allowance and has spent $2, for a total of y dollars.
Valerie earns $2 per week (where x is the number of weeks) in allowance and has spent $1, for a total of y dollars.
Answers
The scenario represented by the linear function y = x + 2 is given by:
Valerie has $2 and then earns $1 per week (where x is the number of weeks) in allowance, for a total of y dollars.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we have that:
The y-intercept is of 2, as when x = 0, y = 2.The slope is of 1, as when x changes by 2, y also changes by 2, hence m = 2/2 = 1.Thus the function is given by:
y = x + 2.
Which means that the initial amount is of $2, and increases by $1 for each unit of time, hence the correct option is:
Valerie has $2 and then earns $1 per week (where x is the number of weeks) in allowance, for a total of y dollars.
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Answer:
b
Step-by-step explanation:
Gina has 7/8 pound of nuts that she wants to divide equally into 4 bags. How can Gina determine the amount of nuts she can put in each bag? For this problem Gina must divide a 1._________ by a 2. ________. The amount of nuts in each bag will be 3._________ 7/8 because 7/8 is 4._________ 4. Gina will be able to put 5._________ pound(s) of nuts in each bag. Word Bank 1. Fraction or Whole Number 2. Fraction or Whole Number 3. Less Than or Greater Than 4. Divided By or Multiplyed By 5. 7/2, 32/7, 7/2, 7/32
Answers
Gina must divide a fraction by a whole number.
The amount of nuts in each bag will be less than 7/8 because 7/8 is divided by 4.
Gina will be able to put 7/32 pounds of nuts in each bag.
A basketball player has a 60% chance of
making each free throw. What is the
probability that the player makes exactly
five out of seven free throws?
Answers
Answer:
8/10
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
Whats the answer choices
50,6291583.9741
What place value does 4 hold in the number above?
Answers
number 4 is in the thousanths place
what is 2/3 of the distance between the points U (-1,4) and B (8,5)
Answers
Answer:
6.037Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\U (-1,4)\quad\implies\quad x_1=-1\,,\ \ y_1=4 \\\\B (8,5)\quad\implies\quad x_2=8\,,\ \ y_2=5\\\\\frac12d=\frac23\sqrt{(8+1)^2+(5-4)^2}=\frac23\sqrt{81+1}=\frac23\sqrt{82}\approx6.037[/tex]
what is the base of a triangle if the height is 8 in. and the area is 28 in. squared
Answers
Answer:
the base = 7 in
Step-by-step explanation:
Answer:
Step-by-step explanation:
Area = 1/2 base * height
Area = 28
height = 8
base = ?
28 = 1/2 * 8 * base
28 = 4 * base
28/4 = base
base = 7
Amy has a collection of dimes and quarters. If the expression
V=0.25x+0.10y
represents the total value of the coins Amy has, the expression 0.10y
most likely represents the ...........
Answers
Answer:
the value of the dimes
Step-by-step explanation:
The expression 0.10y most likely represents the number of dollars when all dimes are clubbed together.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Amy has a collection of dimes and quarters. If the expression is given as,
V = 0.25x + 0.10y represents the total value of the coins Amy has.
The expression 0.10y most likely represents the number of dollars when all dimes are clubbed together.
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Solve:
−7/3a+4=47/3
What is A
I will give extra points to who gets this right also will give brainliest
Answers
Answer:
a= -5
Step-by-step explanation
PEMDAS
Javier simplified the expression below. Find and
describe the three mistakes he made.
20x
- (203) = (5x®]* _ 5x * to
(5x®)» (20x)} – 20.x* *4
Answers
Answer:
Step-by-step explanation:
Javier did not raise the coefficients to the third power
When Javier raised [tex]x[/tex] to the third power, he wrote that [tex](x^1)^3=x^4[/tex], but it equals [tex]x^3[/tex].
In the last step, Javier divided the exponents. He should have used the quotient of powers property and subtracted them.
Please answer this is homework i need help with
Answers
Jim wanted to find out what the audience thought about the debate. After the event, Jim stood at the exit to survey every fifth guest. Was this a random or a biased sample and why?
Answers
Answer: D. This was a random sample. It may have included anyone in attendance.
Step-by-step explanation:
The options are:
A. This was a biased sample. Jim should interview all in attendance.
B. This was a census. Any guest may have participated.
C. This was a random sample. It may not have included anyone in attendance.
D. This was a random sample. It may have included anyone in attendance.
A random sampling is simply referred to as a subset of individuals that are picked from a larger set of individuals.
With regards to the question, Jim wanted to find out what the audience thought about the debate and after the event, he stood at the exit to survey every fifth guest.
This means that it was a random sampling and anyone could have been picked, the sampling wasn't bias.
Evaluate 3.6x + 4.5y when x=3 and y=7
Answers
Answer:
42.3
Step-by-step explanation:
3.6(3)+4.5(7)
10.8+31.5
42.3
What factors does Jenna need to model for the sides?
Answers
CAN SOMEONE PLEASE HELP ME THIS TEST WAS DUE 2 DAYS AGO I ONLY GOT 10 MIN LEFT AND IM ONLY ON QUESTION 2 HELPPPP!
Answers
Answer:
The amount of water draining at a rate of 2.5 gallons per minute. I hope you do good on your test good luck! :)))
Step-by-step explanation:
4x + y = 4
8x + y = 5
If (x,y) is the solution of the system of equations above, what is the value of
x?
Answers
Answer:
if u substract the equations u get 4x = 1, therefore x = 1/4
Step-by-step explanation:
(8x + y) - (4x + y) = 5 - 4
4x = 1
x = 1/4
Find the area of the parallelogram. pick one of these
30 sq cm
40 sq cm
12 sq cm
17 sq cm
Answers
Answer:
The area of the parallelogram is 40.
Step-by-step explanation:
You multiply the base by the height:
4*10= 40
Explanation: I took the test
Claim: the standard deviation of pulse rates of adult males is more than 11 bpm. For a random sample of 171 adult males, the pulse rates have a standard deviation of 11.4 bpm find the value of the statistic
Answers
Answer:
182.58842
Step-by-step explanation:
Given that:
Sample size (n) = 171
Population standard deviation σ = 11
Sample standard deviation s = 11.4
males is more than 11 bpm. For a random sample of 171 adult males, the pulse rates have a standard deviation of 11.4 bpm find the value of the statistic
The test statistic :
X² = ((n - 1) / σ²) * s²
X² = ((171 - 1) / 11²) * 11.4²
X² = ((170) / 121) * 129.96
X² = 1.4049586 * 129.96
X² = 182.58842
yall pls help i would be very happy :)) Ill also give brainliest!
Which equation below would be perpendicular to the line x=5
a. y = 1/5x
b. y = 3
c. x =2
d. y = -5x
Answers
Answer:
A) y=1/5x
Step-by-step explanation:
Coz, the way you identify a perpendicular line is by looking for its negative reciprocal. The neagtive reciprocal of 5= 1/5
Now, to check the ans we can multiply the negative reciprocal by "m"
(m in y=mx+c or y=mx+b)
in this case the "m" is stated as 5, so all we need to do is 1/5*5 if the ans is 1 then your ans is right....and over here it is
So thats how you identify & check perpendicular lines!
1. y = x2 + 2x – 8
Axis of Symmetry:
Vertex:
Domain:
Range:
Answers
Answer:
Axis of Symmetry: x=-1
Vertex: (-1,-9)
Domain: (- ∞ ,∞ )
Range: (-9,∞ )
Step-by-step explanation:
At a basketball game, 95% of people attending were supporting the home team, while
5% were supporting the visiting team. If 532 people attending the game supported
the home team, what was the total number of people attending the game?
Help
Answers
Answer:
3800
Step-by-step explanation:
Answer:
560 total people attending the game.
Step-by-step explanation:
95 : 100 = 532 : x
(95%) 95 is to 100 = 532 (the # of people supporting the home team) is to x (the total number of people attending the game)
x = (532*100) /95
x = 560 total people attending the game.
5% of 560 = 28 visitor team Supporters.
How can you write the equation for a linear function if you know only two ordered pairs for the function?
Drag tiles to complete the explanation. Tiles may be used once, more than once, or not at all.
Answers
Answer:
Use the two ordered pairs to find the slope, m.
Then substitute one set of ordered pairs and m into y = mx + b to solve for b
Step-by-step explanation:
If we are given two ordered pairs of a function and we need to write an equation that represents the linear function, first, what we need to do is to use the two ordered pair to find the slope, m, using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
After getting the slope (m), find the value of the y-intercept (b), by substituting the value of one of the ordered pairs and the slope value (m) into y = mx + b.
Once the value of m and b is known, plug in the value of m and b into y = mx + b to derive the equation of the linear function.
Use the 2 ordered pairs to find the slope, m .
Then substitute m and one set of ordered pairs into y = mx + b to solve for b.
If given the 2 ordered pairs for a function, the ordered pairs can be first used to find the slope of the function.
For example
(x₁, y₁)(x₂, y₂)
m = slope = y₂ - y₁ / x₂ - x₁
The slope(m) is then substituted in the slope intercept form equation.
y = mx + b
where
m = slope
b = y-intercept
And one set of the ordered pairs is also substituted in the equation to get the value of the y-intercept(b).
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Andres has 18 sour cherry fruit strips. He and 4 of his friends are going to share them all equally. How many fruit strips will each person get?
~PLEASE ANSWER QUICK~
Answers
Answer: 3 3/5
Explanation:
18÷4=3.6
3.6= 18/4
18/4 as a mixed number is 3 3/5
William is 11 years old. One day, his granddad took him and his younger brother to a basketball game. The tickets for the game were priced at $17 for adults (`a`) and $13 for children (13 years and younger) (`c`). What is the expression for the total cost of the tickets for William’s family and what was the total cost?
Answers
Answer:
43$
Step-by-step explanation: Three tickets total.
2 tickets cost 13$ =26
1 ticket 17 = 43 total
Hope this helped! God Bless!!
The total cost of the tickets for William’s family with 1 adult and 2 children is $43.
William's age = 11 years
Price for an adult = $17
Price for a child = $13
What will be the total number of tickets be bought?The total number of tickets to be bought will be 3 i.e. William, His Granddad, and William's younger brother i.e. 1 adult ticket and 2 children tickets.
Total price = price of 1 adult ticket + price for 2 children's ticket
Total price =17+2*13
Total price =17+26
Total price =$43
Therefore, the total cost of the tickets for William’s family is $43.
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the total cost of tickets to the school play is shown in the table. Write an equation to find the total cost of any number of tickets. Describe the relationship in words. Use the equation to find the cost of 15 tickets.