Answer:
x = 10
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
12 +10x = 81 + 31
Combine like terms
12 +10x = 112
Subtract 12 from each side
12-12+10x = 112-12
10x= 100
Divide each side by 10
10x/10 = 100/10
x = 10
Answer:
10
Step-by-step explanation:
Exterior angle = sum of interior angles
12 + 10x = 81 + 31
12 + 10x = 112
10x = 100
x = 10
Which ordered pair in the form (x,y) is a solution of this equation?
7x-5y=28
A) (-3,-2)
B) (-2,-3)
C) (0,4)
D) (4,0)
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Which types of quadrilaterals have four congruent angles
Answer:
I'm gonna go with rectangle and square
Step-by-step explanation:
rectangle: 2 pairs of parallel sides. 4 right angles (90°). Opposite sides are parallel and congruent. All angles are congruent.
Square: 4 congruent sides. 4 right angles (90°). Opposite sides are parallel. All angles are congruent.
The rectangle and square are the types of quadrilaterals that have four congruent angles. Then the correct option is A.
What is a quadrilateral?It is a polygon with four sides. The total interior angle is 360 degrees.
Types of the quadrilateral are as follows;
Square: All the angles of square are right angle that is 90°.Rectangle: All the angles of rectangle are right angle that is 90°.Rhombus: Opposite angles are same and adjacent angles are difference.Parallelogram: Opposite angles are same and adjacent angles are difference.Thus, the rectangle and square are the types of quadrilaterals that have four congruent angles.
Then the correct option is A.
More about the quadrilateral link is given below.
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does anyone know this ????
Answer:
What exactly is the question asking? Is that the full question? The answer is 20
Step-by-step explanation:
Answer:
20 sq units
Step-by-step explanation:
α-2.01=5.5
b+2.01=5.5
10c=13.71
100d=13.71
Help.
Answer: c. fo so!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The probability of a certain event A occurring is 3:5, the probability of event B occurring is 2:5, and the probability of them occurring together is 6:25. What is true about the two events?
A.Event A is dependent on event B.
B.Event B is dependent on event A.
C.Events A and B are independent events.
D.Events A and B are mutually exclusive.
Answer:
To use proportions to solve ratio word problems, we need to follow these steps:
Identify the known ratio and the unknown ratio.
Set up the proportion.
Cross-multiply and solve.
Check the answer by plugging the result into the unknown ratio.
Step-by-step explanation:
Which is the graph of g(x) = [X + 3]?
Answer
D or the fourth one because i took the quiz and got it right
BRAINLIEST!!!! PLZ HELP..
18. Identify the asymptotes of each function.
Answer:
x = 4, f(x) = 0
Step-by-step explanation:
Given
f(x) = [tex]\frac{1}{x-4}[/tex]
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
x - 4 = 0 ⇒ x = 4 ← is the vertical asymptote of f(x)
Since the degree of the denominator > degree of denominator
There is a horizontal asymptote at y = 0 , that is f(x) = 0
HELP!!!!!!!!!
Plz Show working:)
Step-by-step explanation:
Hope this help you !! ;))answer of (ii) : perimeter = 66m
area = 272m^2
A bowling alley charges $3 per shoe rental and $4 per person per game. If you and a friend bowl 3 games and each rent a pair of shoes, how much will it cost in all?
Answer: $36
Step-by-step explanation:
3 times 2 times 2 = 12
4 times 2 times 3 = 24
add 12 and 24
answer = $36!
Please help due in 30 min
Answer:
take your time dont rush
Step-by-step explanation:
help me you don’t have to explain!!
Answer:
option b ................
math question screen shot down below
Answer:
A
Step-by-step explanation:
If the current amount he has is B and its 7 LESS then he had earlier add 7 back to find the amount he add at the start.
Answer:
b+7,Option 1
Step-by-step explanation:
Let the number of buttons Cole had at first be a,
We know,now he has b buttons remaining which is 7 less than a
In other words,
a-7=b
or,a=b+7
Which statement is NOT true?
A)
Group 3 has no outliers.
B)
Group 5 has no outliers.
C)
Group 9 has two outliers.
D)
Group 8 has three outliers.
Answer:
D
Step-by-step explanation:
D because the red dots seem to represent outliers, and on Group 8, there are 2 outliers, not 3. Hope this helps!
Which statement must be true?
Answer:
A
the two are parallel
Step-by-step explanation:
I hope its right
good luck!
This net consists of a square and 4 identical triangles. What is the surface area of the solid this net can form?
144 square inches
184 square inches
224 square inches
264 square inches
Answer: 224
Step-by-step explanation:
I did the calculations don’t worry
Answer:
the person above me is correct
Step-by-step explanation:
You and your friend are playing a game where you spin a circular spinner with nine numbered sections of equal
size. In this game, you win if the spinner lands on 1, 4, or 7. Your friend wins if the spinner lands on 2.5. or 8.
You tie if the spinner lands on 3. 6. or 9.
All the possible outcomes of the game are listed in the sample space
S = {1,2,3,4,5,6,7,8,9).
If we take A = {1.3.4.6:7.9} as a subset of the sample space, which of the statements below describe the
subset A?
Choose all answers that apply:
Answer:
-The subset consists of all of the outcomes where you do not lose.
-The subset consists of all of the outcomes where your friend loses, or there is a tie.
Step-by-step explanation:
Khan Academy
Statements that describe the subset A are option (a) and option (d).
What is a subset?A set of which all the elements are contained in another set. Subset can be empty or equal to the set.
Given sample of space S = {1,2,3,4,5,6,7,8,9}
And subset M of S = {1,4,7} where you win in the spinner game.
If the spinner lands on the subset N of S = {3,6,9} , you tie.
Given A = {1,3,4,6,7,9,} is a subset of S.
Now to verify the options;
In option (a) ;
The subset consists of all the outcomes where you win that means your friend loses or there is a tie. Because subset A does not contain any elements of subset {2,5,8}, where you lose.
In option (b) ;
The subset consists of all the outcomes where your friend ties. That means subset should only contain the elements of subset N = {3,6,9}. Which is clearly not. So this option is incorrect.
In option (c) ;
The subset consists of all the outcomes where there is not a tie and your friend does not win. That means subset S should only contain the elements from {1,4,7}. which is contradiction so this option is also incorrect.
In option (d) ;
The subset consists of all the outcomes where you do not lose. That means subset does not have any element from {2,5,8}.
Hence Correct answers are option (a) and option (d).
To learn more about the subset;
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The complete question is ;
You and your friend are playing a game where you spin a circular spinner with nine numbered sections of equal size. In this game, you win if the spinner lands on 1,4, or 7. Your friend wins if the spinner lands on 2,5, or 8. You tie if the spinner lands on 3,6, or 9.
All the possible outcomes of the game are listed in the sample space S= { 1,2,3,4,5,6,7,8,9} If we take A= { 1,3,4,6,7,9} as a subset of the sample space, which of the statements below describe the subset A?
a) The subset consists of all the outcomes where your friend loses or there is a tie.
b) The subset consists of all the outcomes where your friend ties.
c) The subset consists of all the outcomes where there is not a tie and your friend does not win.
d) The subset consists of all the outcomes where you do not lose.
Which statement is true about the circumference of a circle?
Answer:
A) The circumference is equal to the radius of a circle.
Step-by-step explanation:
Here are the options:
A) The circumference is equal to the radius of the circle.
B) The circumference is equal to the diameter of the circle.
C) The circumference is found by multiplying Pi by the radius.
D) The circumference is found by multiplying Pi by the diameter.
The circumference of a circle is the distance around the circle. The radius is a line segment with one end point on the circle and the other endpoint on the center of the circle.
What is the area of the following right triangle?
Answer:
30 square units
Step-by-step explanation:
The area of the given right triangle can be found a couple of ways:
Pythagorean theoremThe missing side length can be found using the Pythagorean theorem relation between the sides:
c² = a² +b²
13² = a² +5²
a² = 169 -25 = 144
a = √144 = 12
Then the area is ...
A = 1/2ab = 1/2(12)(5) = 30 . . . square units
__
TrigonometryThe angle at lower right can be found from the trig relation ...
Cos = Adjacent/Hypotenuse
cos(A) = 5/13
A = arccos(5/13) ≈ 67.38°
The area can be found from these side lengths and the angle:
A = 1/2bc·sin(A)
A = 1/2(5)(13)sin(67.38°) = 30 . . . square units
_____
Additional comment
The sine of the angle can be computed from the cosine using the identity ...
sin(x) = √(1 -cos²(x))
In this case, the sine of the angle would be found to be 12/13, so the area would be computed as ...
A = 1/2(5)(13)(12/13) = 1/2(12)(5) . . . . same as using the Pythagorean theorem
The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of x?
Answer: 6
Step-by-step explanation:
16x + 4 = 15x + 10
X = 6
To multiply two fractions, multiply the numerator by the numerator
and the denominator by the
RETRY
Answer:
multiply the numerator by the other numerator and denominator by the other denominator
1/2×2/4=2/8=1/4
HOPE YOU FOUND IT HELPFUL , PLEASE MARK AS BRAINLIEST
How many ways can you plant 15 flowers from a group of 36 flowers?
Answer:
30.
Step-by-step explanation:
You could do 15 times the amount by 2 then add 6.
The probability that a student guesses the correct answer to a five-choice multiple choice question is
P(correct) = 0.2. How many correct answers should a student expect to guess on a test with 95
five-choice multiple choice questions?
A student should expect to guess correct answers.
Answer:
19?
Step-by-step explanation:
Hope this helps
The possible outcomes are 0, 1, 2, …, 95 correct answers.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
P(correct) = 0.2
N=95
Now,
In this case, the random variable is the number of correct answers on a test with 95 five-choice multiple choice questions. Each question has a probability of 0.2 to be guessed correctly and a value of 1 point for each correct answer.
To find the expected value, we need to multiply the probability and the value for each possible outcome and then add them up.
Therefore, by probability the answer will be 0, 1, 2, …, 95 correct answers.
Learn more about probability here;
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what are the pods against selecting a red marble?
Answer these questions about finding the missing angle measures. What is the measure of ∠Q? What is the measure of ∠T? What can be concluded about these triangles?
Answer:
<Q = 44.4
<T = 44.4
The triangles are similar
Step-by-step explanation:
Both triangle QSR and triangle TUV are similar triangles since the corresponding angles are equal.
Similar figuresTwo figures are similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. Hence all the corresponding angles are similar.
From the diagram:
∠Q + ∠R + ∠S = 180° (angle in a triangle)
∠Q + 98 + 37.6 = 180
∠Q = 44.4°
∠T + ∠U + ∠V = 180° (angle in a triangle)
∠T + 98 + 37.6 = 180
∠T = 44.4°
Both triangle QSR and triangle TUV are similar triangles since the corresponding angles are equal.
Find out more on Similar figures at: https://brainly.com/question/2644832
The two triangles illustrated below are similar. What are the values of x and y?
math question screen shot down below
Answer:
48
Step-by-step explanation:
100-52=48
Answer:
48
Step-by-step explanation:
1.First u have to order the numbers from least to greatest.
-52,58,66,71,72,79,82,84,85,94,98,100
2.Find the lowest number and the highest number.
-52 nd 100
3.Subtract the 2 numbers
100-52=48
Find the measure of angle U
Answer:
30 degrees
Step-by-step explanation:
first you have to find angle TSU which is 70 degrees
you get this my doing 180 - 110
then you add up all the angles in the triangle
so, 80 plus 70
you get 150
then you do 180 - 150 and get 30 degrees
can someone please find the volume of this ?
Answer:
998.4 m to the 3rd power
Step-by-step explanation:
Which of the following does NOT make you credit worthy?
a
Making payments on time
b
Having a savings account
c
Having too much of your income already obligated in credit
d
Having a well-paying job