Parralel lines cut by a transversal coloring activity. Please give explanation. Will give brainiest.
Answers
Step-by-step explanation: Do You Want Me To Find All The Values ?
Parallel lines intersected by a common transversal form 8 angles
The required values of y and x are;
5. y = 42°6. y = 29.5°7. y = 9°8. y = 14°9. y = 31°10. x = 20°11. x = 13°12. y = 39°The reasons why the above values are correct are given as follows:
Given the lines are parallel lines cut by a common transversal, we have;
Angles with measure (2·y - 1)° and (9·x - 38)° are same side interior angles
Angles with measure (4·x + 23)° and (2·y - 1)° are alternate interior angles
Which gives;
(2·y - 1)°+ (9·x - 38)° = 180°...(1)
(4·x + 23)° = (2·y - 1)°...(2)
From equation (1), we get;
y = 109.5 - 4.5·x
From equation (2), we get;
y = 2·x + 12
The common solution is given by; 109.5 - 4.5·x = 2·x + 12
From 109.5 - 4.5·x = 2·x + 12, we get;
x = 15,
y = 42°6) (9·x + 42)° and 15·x° are vertical angles, and therefore are equal
(9·x + 42)° = 15·x°
∴ x = 7
(4·y - 13)° and (9·x + 42)° are supplementary, therefore
(4·y - 13)° = (9·x + 42)°, which gives;
(4·y - 13)° = (9×7 + 42)° = 105°
y = 29.5°7) (3x + 11) + (x + 21) = 180
∴ x = 37
(14·y - 4)° = 3x + 11 = 3 × 37 + 11 = 122°
y = 9°8) (13·x - 33) = 10·x
∴ x = 11
10·x + 5·y = 180
10 × 11 + 5·y = 180
[tex]y = \dfrac{70^{\circ}}{5} = 14^{\circ}[/tex]
y = 14°9) (27·x + 4) + (8·x + 1) = 180
∴ x = 5
y + 10 = 8·x + 1 = 8 × 5 + 1 = 41
y = 41 - 10 = 31
y = 31°10) 16·x - 4 = 9·x - 6 + 58 = 9·x + 52
7·x = 56
x = 8
11) (6·x - 58)° + (x + 8)° = 90°
7·x - 50 = 90
7·x = 90 + 50 = 140
[tex]x = \dfrac{140}{7} = 20[/tex]
x = 20°12) 7·x - 7 = 3·x + 45°
4·x = 52
[tex]x = \dfrac{52}{4} = 13[/tex]
x = 13°
(3·x + 45)° + 63° + (y - 6)° = 180°
(3×13 + 45)° + 63° + (y - 6)° = 180°
147 + (y - 6)° = 180°
y = 39°Learn more about the angles formed between parallel lines here:
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Related Questions
A right triangle has a hypotenuse measuring 15
inches and one leg measuring 9 inches. What is the
length, in inches, of the other leg of the triangle?
A 3
B 6
C 10
D 12
Answers
Answer:
D
Step-by-step explanation:
15^2 = 9^2 + x^2
x^2 = 15^2 -9^2
x^2 = 225-81
x^2 = 144
x = 12
What is the median number of books read?
Answer options with 5 options
A.5
B.8
C.9
D.10
E.11
Answers
Answer:
The answer is B:8
Step-by-step explanation:
because when you line up the numbers in order
5 6 7 8 11 11 15
The middle number is 8
Which statement about odd numbers is true?
A. If x is odd then x2 is even.
B. If x is odd then 2x is even.
C. If x is odd then x3 is even.
D. If x is odd then 3x is even.
Answers
HElp please i really need help 100
points
Answers
Answer:
yes
Step-by-step explanation:
Answer:
you have to use your own sheet of paper. sorry
Multiply the polynomials
(2x - 5) (-3x^2 + 4x - 7)
Answers
[tex](2x - 5)( - {3x}^{2} + 4x - 7) \\ - {6x}^{3} + {8x}^{2} - 14x + {15x}^{2} - 20x + 35 \\ - {6x}^{3} + {8x}^{2} + {15x}^{2} - 14x - 20x + 35 \\ - {6x}^{3} + {23x}^{2} - 34x + 35[/tex]
Answer:
-6x^3 + 23x^2 - 34x + 35.
Step-by-step explanation:
(2x - 5) (-3x^2 + 4x - 7)
= 2x(-3x^2 + 4x - 7) - 5(-3x^2 + 4x - 7)
= -6x^3 + 8x^2 - 14x + 15x^2 - 20x + 35
= -6x^3 + 23x^2 - 34x + 35.
The vertex angle of an isosceles triangle is three times the measure of either base angle. Find the area if the measure of the congruent sides are 14 in
Answers
Answer:
[tex]Area = 93.21in^2[/tex]
Step-by-step explanation:
Given
[tex]\theta \to[/tex] vertex angle
[tex]\alpha \to[/tex] base angle
[tex]\theta = 3\alpha[/tex]
[tex]l = 14in[/tex] -- congruent sides
Required
The area of the triangle
First, calculate the angles
[tex]\theta + \alpha + \alpha = 180^o[/tex] ----- angles in an isosceles triangle
Substitute [tex]\theta = 3\alpha[/tex]
[tex]3\alpha + \alpha + \alpha = 180^o[/tex]
[tex]5\alpha = 180^o[/tex]
Divide both sides by 5
[tex]\alpha = 36^o[/tex]
Recall that: [tex]\theta = 3\alpha[/tex]
[tex]\theta = 3 * 36^o[/tex]
[tex]\theta = 108^o[/tex]
The area is then calculated as:
[tex]Area = \frac{1}{2}l^2 \sin(\theta)[/tex]
[tex]Area = \frac{1}{2}*14^2 \sin(108^o)[/tex]
[tex]Area = \frac{1}{2}*196 *0.9511[/tex]
[tex]Area = 93.21in^2[/tex]
SOMEONE HELP ITS 2IN THE MORNING AND I CANT THINK PROPERLY RIGHT NOW
Answers
Answer:
Step-by-step explanation:
37+82=x(sum of two interior opposite angles is equal to the exterior angle formed)
119=x
therefore x=119 degree
DUE IN 10 MINUTES!! PLEASE ANSWER THESE QUESTIONS BELOW. 100 POINTS!!
TOPIC: Probability
1. Provide an example of when probability is used in the media
2. Give a personal example of when probability informed your decision making
3. Provide an example of probability being used to influence a decision
4. Explain how decisions are a combination of theoretical, experimental, and subjective probability
Answers
Answer:
Here is ur answer :
1. Probability of composing music for a movie is 1
2. To choose the group in 11 th grade , choosing the subject in which it's more probable to score high marks .
3. To decide whether to go out in rain , the probability of getting cold is more than enjoying the rain .
4. Sorry i don't know
Hope the others will help you !!
Someone help please, I’ll give you brainlist!
Answers
Answer:
it is a 1
Step-by-step explanation:
Please help!
Find the amount of empty space within a cylinder containing three solid spheres, where each sphere has a radius of 3 cm. (Volume of a sphere 4 000 3 cm.
Answers
Answer:
Step-by-step explanation:
cylinder's height=3×(diameter of sphere)=3×6=18 cm
radius of cylinder=3 cm
volume of cylinder=π r²h=π(3)²×18=162 π cm³
volume of sphere=4/3 π(3)³=36 π cm³
reqd. empty space=162 π-3×36π=54 πcm³
PLEASE HELP FAST!
The number 44 is multiplied by a 44-digit number that contains only ones. What is the sum of the digits of the product?
Answers
Answer:
352.
Step-by-step explanation:
The product will have 45 digits, the fisrt and last digit will be 4 and the middle 43 will be 8.
So the sum = 2*4 + 43*8
= 352.
The data below represents the number of practices each member of Nidhi's ski team attended.
\qquad25,28,29,29,30,34,35,35,37,3825,28,29,29,30,34,35,35,37,3825, comma, 28, comma, 29, comma, 29, comma, 30, comma, 34, comma, 35, comma, 35, comma, 37, comma, 38
HELP
Which box plot correctly summarizes the data?
Answers
The right box plot that summarizes the data should look like the one constructed below in the diagram attached.
We are given the data set 25, 28, 29, 29, 30, 34, 35, 35, 37, and 38, which are already in order and we need to derive the min, max, median, Q1, and Q3 from the given data set. We need all of these values to construct a box plot to summarize the data.
Now, we will find the minimum value which is 25. The maximum value in the data set is 38. The median is the middle value of the data set and it will lie between the 5th and the 6th data points. The average of both values would give us our median data point = (30 + 34) ÷ 2 = 32
Our Q1 would be the middle data point of the bottom half of the data set which is 29. Q3 would be the middle data point of the top half of the data set = 35. As we have derived these values, we can now construct a box plot to summarize the given data.
Therefore, the right box plot that summarizes the data should look like the one constructed below in the diagram attached.
To learn more about box plots;
https://brainly.com/question/14277132
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Find the derivative of f(x) =( -7/x) at x = -3.
pls help !!
Answers
Answer:
[tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Derivative of a constant is a 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \frac{-7}{x}[/tex]
[tex]\displaystyle x = -3[/tex]
Step 2: Differentiate
Quotient Rule: [tex]\displaystyle f'(x) = \frac{\frac{d}{dx}[7]x - \frac{d}{dx}[x](-7)}{x^2}[/tex]Basic Power Rule: [tex]\displaystyle f'(x) = \frac{(0)x - x^{1 - 1}(-7)}{x^2}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{(0)x - x^0(-7)}{x^2}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{(0)x - 1(-7)}{x^2}[/tex]Multiply: [tex]\displaystyle f'(x) = \frac{0 + 7}{x^2}[/tex]Add: [tex]\displaystyle f'(x) = \frac{7}{x^2}[/tex]Step 3: Solve
Substitute in x [Derivative]: [tex]\displaystyle f'(-3) = \frac{7}{(-3)^2}[/tex]Evaluate exponents: [tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Using f(x) =8x^2 and g(x) = 2x +8
Find f(g(x))
Answers
Answer:
32x²+256x+512
Step-by-step explanation:
f(g(x))=8(2x+8)²=8(4x²+32x+64)=32x²+256x+512
The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths are 2x in., 2x in., and 0.5x in. What are reasonable domain and range values for this function, if the longest side length of the box can be no greater than 20 in.? Write the answers in interval notation.
Answers
Answer:
I need this tooo, did u find it??
Step-by-step explanation:
ILL BRAINLIEST YOU PLEASE HELP ME
Answers
x+79+10=90
Then Combine like terms
x+89=90
subtract 89 from each side
x=1
Answer:
x = 51.5
Step-by-step explanation:
Can someone help me
Answers
I'll help.
A student needs 15 minutes to solve an algebra problem. How many minutes does the student need to solve 5 problems?
it's easy, you only need to divide 15 by 5.
Like this :
15÷5= 3
• because 5×3 = 15 , so you just need to flip it over
so, the student need 3 minutes to solve 5 problems
Find the oth term of the geometric sequence 4, -16,64, ...
CAN SOMEONE HELP
Answers
Answer:
262144
Step-by-step explanation:
The sequence increases by a multiple of -4
Therefore, you can either do 4⁹ or you can multiply by -4 until you have done that 9 times
Jasmine, Georgia, and Olivia are in boats on a lake. Their relative locations are shown in the diagram.
What is the distance from Georgia's boat to Olivia's boat?
Enter your answer in the box. Round your final answer to the nearest whole number.
ft
Answers
Answer:
52ft
Step-by-step explanation:
Mhanifa please help! This is due soon and I dont want to fail
Answers
Answer:
#1
Sum of interior angles is 180:
y = 180 - (42 + 31) = 107The law of sines:
x / sin 107 = 11 / sin 42x = 11 sin 107deg / sin 42deg x = 15.72#2
The law of cosines:
cos 76 = (6² + 17² - x² )/2(6)(17)204*0.24 = 325 - x²x² = 325 - 48.96x² = 276.04x = √276.04x = 16.61#3
Same as above:
2*9.4*10*cos 20 = (10² + 9.4² - x²)176.66 = 188.36 - x²x² = 188.36 - 176.66 x² = 11.7x = √11.7x = 3.42#4
Sum of interior angles is 180:
y = 180 - (52 + 94) = 34The law of sines:
x / sin 34 = 15 / sin 94x = 15 sin 34 / sin 94 x = 8.41The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD? (4 points) negative 1 over 2 −2 2 1 over 2
Answers
Answer:
answer 1/2
Step-by-step explanation:
y-3=-2(x-4)
y-3=-2x+8
y=-2x+11
y=mx+c
m= slope which is -2
because it perpendicular It became 1/2
Find five rational numbers between −2/3 and 0
Answers
Step-by-step explanation:
-1.4 or - 14/10
-1.3 or -13/10
-1.2 or -12/10
-1.1 or -11/10
-1.0 or -1/1
Lilbabyonme hahahahahahahahahahahahay
Answers
Answer: ghrhuydduyfgjrguh
Step-by-step explanation:
jcjdmsjskskms
jsjsksjsmsjdjskaowkdndnd
jsjsksisjsjdhdjeiwksjd
Last one please help my brain can’t take this
Answers
Answer:
first option 7.331 × 10^6
Answer:
7.331×10E6
( E means the exponent just letting u know :)
The table shows the total profits earned from magazine sales.
select a function that models this situation.
O A.) y = 24x
O B.) y = 10x + 28
O C.) y = 14x + 20
O D.) y = 15x + 10
Answers
Rita buys 8 bottles of water. Each bottle contains 1.8 L of water.
Rita says she bought a total of 14.4 L of water.
Use estimation to show that her answer is reasonable.
Drag the numbers into the boxes to complete the number sentence.
_____x______= L
1 2 8 15 16 20 120 160
Answers
Answer:
Equation: 2 x 8 = 16
Step-by-step explanation:
1.8 ≈ 2
8 ≈ 8
2 x 8 = L
L = 16
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
HELP ME PLEASE I DON'T UNDERSTAND
Answers
Answer:
For #9 it can be 4,6, or 7
#10 is angle 3
#11 is 134
#12 is 49
Step-by-step explanation:
#9 just look at the picture given and see which one is opposite from it
#10 look at which one is beside it but that the ’half‘ circles are facing each other
#11 and #12 subtract the angles they give you and see if they are next to each other and if they are that subtract the number they give you by 180-the degrees of a line
The radius of a circle is 8 feet. What is the circle's area?
Use 3.14 for .
Answers
Answer:
50.27
Step-by-step explanation:
remember that the circumference of a circle is 2πr
so 3.15x8 and then multiply by two
Answer:
200.96 ft²
Step-by-step explanation:
Step 1: Define/formula
To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.
[tex]a=\pi r^2(3.14*radius*radius)[/tex]
Step 2: Solve
According to the word problem, the radius is 8.
From here, we plug the numbers into the formula.
[tex]\pi 8^2(3.14*8*8)=200.96ft^2.[/tex]
Step 3: Conclude
Therefore, the area of this circle is 200.96 ft.²
A college professor hands out a list of 10 questions, 5 of which will appear on the final exam for the course. One of the students taking the course is pressed for time and can prepare for MATH 270 Assignment 2 W. Li 2 only 7 of the 10 questions on the list. Suppose the professor chooses the 5 questions at random from the 10. a) What is the probability that the student will be prepared for all 5 questions that appear on the final examination
Answers
Answer:
21 / 252
Step-by-step explanation:
Recall : nCr = n! ÷ (n-r)!r!
The total possible outcome ; 5 questions out of 10
10C5 = 10! ÷ 5!5! = (10*9*8*7*6)÷(5*4*3*2*1) = 252
Required outcome :
All 5 questions set being from the 7 questions covered and 0 from the 3 left uncovered
7C5 * 3C0
7C5 = 7! ÷ 2!5! = (7*6) ÷ (2*1) = 21
3C0 = 3! ÷ 3!0! = 1
Probability = required outcome / Total possible outcomes
P(All 5 questions prepared for appears) :
[7C5 * 3C0] ÷ 10C5
(21 * 1) / 252
= 21 / 252
Triangles ABC and DEF are similar. Explain why
AB
BC
DE
EF
Given an example of possible side lengths for segments AB, BC, DE and
EF. Write a coherent explanation using domain specific vocabulary to
justify why these side lengths are reasonable.
B
D
А
Answers
Answer:
Triangles ABC and DEF are similar. Explain wh
Step-by-step explanation:
They are the same shape it's just one is smaller one is bigger