Answers
Answer:
The larger angle <K, has a measure of 120 degrees.
Step-by-step explanation:
So, a supplementary angle are two or more angles that combine to form a 180 degree straight line. So here, we need to set up an algebra equation.
2x = the larger angle (because it's two times the smaller angle)
x = the smaller angle
So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees
2x + x = 180
3x = 180
x = 60
Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle. Remember, we represented the larger angle as 2x.
2 time 60 is 120, so the larger angle is 120 degrees
Hope that helps :)
Related Questions
How do I evaluate this using trigonometric substitution?
∫dx/(81x^2+4)^2
Answers
Answer:
[tex]\displaystyle \frac{1}{144}arctan(\frac{9x}{2}) + \frac{x}{8(81x^2 + 4)} + C[/tex]
General Formulas and Concepts:
Alg I
Terms/CoefficientsFactorExponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Pre-Calc
[Right Triangle Only] Pythagorean Theorem: a² + b² = c²
a is a legb is a legc is hypotenuseTrigonometric Ratio: [tex]\displaystyle sec(\theta) = \frac{1}{cos(\theta)}[/tex]
Trigonometric Identity: [tex]\displaystyle tan^2\theta + 1 = sec^2\theta[/tex]
TI: [tex]\displaystyle sin(2x) = 2sin(x)cos(x)[/tex]
TI: [tex]\displaystyle cos^2(\theta) = \frac{cos(2x) + 1}{2}[/tex]
Calc
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
IP [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
U-Substitution
U-Trig Substitution: x² + a² → x = atanθ
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{dx}{(81x^2 + 4)^2}}[/tex]
Step 2: Identify Sub Variables Pt.1
Rewrite integral [factor expression]:
[tex]\displaystyle \int {\frac{dx}{[(9x)^2 + 4]^2}}[/tex]
Identify u-trig sub:
[tex]\displaystyle x = atan\theta\\9x = 2tan\theta \rightarrow x = \frac{2}{9}tan\theta\\dx = \frac{2}{9}sec^2\theta d\theta[/tex]
Later, back-sub θ (integrate w/ respect to x):
[tex]\displaystyle tan\theta = \frac{9x}{2} \rightarrow \theta = arctan(\frac{9x}{2})[/tex]
Step 3: Integrate Pt.1
[Int] Sub u-trig variables: [tex]\displaystyle \int {\frac{\frac{2}{9}sec^2\theta}{[(2tan\theta)^2 + 4]^2}} \ d\theta[/tex][Int] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[(2tan\theta)^2 + 4]^2}} \ d\theta[/tex][Int] Evaluate exponents: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[4tan^2\theta + 4]^2}} \ d\theta[/tex][Int] Factor: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[4(tan^2\theta + 1)]^2}} \ d\theta[/tex][Int] Rewrite [TI]: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[4sec^2\theta]^2}} \ d\theta[/tex][Int] Evaluate exponents: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{16sec^4\theta} \ d\theta[/tex][Int] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{1}{72} \int {\frac{sec^2\theta}{sec^4\theta} \ d\theta[/tex][Int] Divide [ER - D]: [tex]\displaystyle \frac{1}{72} \int {\frac{1}{sec^2\theta} \ d\theta[/tex][Int] Rewrite [TR]: [tex]\displaystyle \frac{1}{72} \int {cos^2\theta} \ d\theta[/tex][Int] Rewrite [TI]: [tex]\displaystyle \frac{1}{72} \int {\frac{cos(2\theta) + 1}{2}} \ d\theta[/tex][Int] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{1}{144} \int {cos(2\theta) + 1} \ d\theta[/tex][Int] Rewrite [Int Prop - A/S]: [tex]\displaystyle \frac{1}{144} [\int {cos(2\theta) \ d\theta + \int {1} \ d\theta][/tex]Step 4: Identify Sub Variables Pt.2
Determine u-sub for trig int:
u = 2θ
du = 2dθ
Step 5: Integrate Pt.2
[Ints] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} \int {2cos(2\theta) \ d\theta + \int {1 \theta ^0} \ d\theta][/tex][Int] U-Sub: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} \int {cos(u) \ du + \int {1 \theta ^0} \ d\theta][/tex][Ints] Integrate [Trig/Int Rule - RPR]: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} sin(u) + \theta + C][/tex][Expression] Back Sub: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} sin(2 \theta) + arctan(\frac{9x}{2}) + C][/tex][Exp] Rewrite [TI]: [tex]\displaystyle \frac{1}{144} [\frac{1}{2}(2sin(\theta)cos(\theta)) + arctan(\frac{9x}{2}) + C][/tex][Exp] Multiply: [tex]\displaystyle \frac{1}{144} [sin(\theta)cos(\theta) + arctan(\frac{9x}{2}) + C][/tex][Exp] Back Sub: [tex]\displaystyle \frac{1}{144} [sin(arctan(\frac{9x}{2}))cos(arctan(\frac{9x}{2})) + arctan(\frac{9x}{2}) + C][/tex]Step 6: Triangle
Find trig values:
[tex]\displaystyle tan\theta = \frac{9x}{2}[/tex]
[tex]\displaystyle \theta = arctan(\frac{9x}{2})[/tex]
tanθ = opposite / adjacent; solve hypotenuse of right triangle, determine trig ratios:
sinθ = opposite / hypotenuse
cosθ = adjacent / hypotenuse
Leg a = 2
Leg b = 9x
Leg c = ?
Sub variables [PT]: [tex]\displaystyle 2^2 + (9x)^2 = c^2[/tex]Evaluate exponents: [tex]\displaystyle 4 + 81x^2 = c^2[/tex][Equality Property] Square root both sides: [tex]\displaystyle \sqrt{4 + 81x^2} = c[/tex]Rewrite: [tex]c = \sqrt{81x^2 + 4}[/tex]Substitute into trig ratios:
[tex]\displaystyle sin\theta = \frac{9x}{\sqrt{81x^2 + 4}}[/tex]
[tex]\displaystyle cos\theta = \frac{2}{\sqrt{81x^2 + 4}}[/tex]
Step 7: Integrate Pt.3
[Exp] Sub variables [TR]: [tex]\displaystyle \frac{1}{144} [\frac{9x}{\sqrt{81x^2 + 4}} \cdot \frac{2}{\sqrt{81x^2 + 4}} + arctan(\frac{9x}{2}) + C][/tex][Exp] Multiply: [tex]\displaystyle \frac{1}{144} [\frac{18x}{81x^2 + 4} + arctan(\frac{9x}{2}) + C][/tex][Exp] Distribute: [tex]\displaystyle \frac{1}{144}arctan(\frac{9x}{2}) + \frac{x}{8(81x^2 + 4)} + C[/tex]In a bag of marbles, image are red, image are blue, image are green, and image are yellow. You pick a marble without looking. What color marble are you MOST likely to choose?
Answers
Answer:
red
Step-by-step explanation:
1/2 is larger than 1/4, 1/6, and 1/12 meaning the chance of pulling red is greater than getting blue, green, or yellow.
hope i helped you!
GO ON
Page 4
Book 1
o
Which sentence from the article best explains why stunt performers are willing to do
such a dangerous job?
Answers
Answer:
for stunt performers and this is lady's work ( paragraph 6)
Does the point (4, 0) satisfy the equation y = x2?
Answers
substitute the values into the original equation
0=4^2
0=16
No it does not satisfy the equation because 0 does not equal to 16
What is the common difference for this arithmetic sequence?
31, 48, 65, 82, ...
Answers
Answer:
d = 17
Step-by-step explanation:
The given arithmetic sequence is :
31, 48, 65, 82, ...
We need to find the common difference for this sequence.
First term, a₁ = 31
Second term, a₂ = 48
Common difference = a₂-a₁
= 48-31
= 17
So, the common difference for this arithmetic sequence is equal to 17.
Please help me......
Answers
Answer:
<BAC=1/2 <BOC=1/2 X=X/2(INSCRIBED ANGLE IS HALF OF CENTRAL ANGLE)
Please help me, thanks!!!!
Answers
What is the overlap of Team 1 and Team 2?
high
medium
low
none
Two line plots aligned vertically so that their labels match. The first line plot is from 72 to 82, is labeled Team 1, and shows the following values that appear as x marks above the line. One x mark above 73. Two x marks above 74. Two x marks above 75. Three x marks above 76. Two x marks above 77. One x mark above 78. One x mark above 80. The second line plot is also from 72 to 82, is labeled Team 2, and shows the following values that appear as x marks above the line. One x mark above 74. Two x marks above 75. Four x marks above 76. Two x marks above 77. One x marks above 78. One x mark above 79. One x mark above 80.
Answers
Answer:
low
Step-by-step explanation:
Find the next three terms: −14,−17,−20,−23,...
Answers
Answer:
-26, -29, -32
Have a great day!
Step-by-step explanation:
how much money will she have left after she pays back the money she borrowed from the bank
Answers
Step-by-step explanation:
whatever amount her bank account balance is at the same time frame when paying off her loan as only her bank knows
1-Un balón de fútbol tiene un precio de $125 + IVA
1. ¿Cuánto es el IVA del balón?
A) 125 b) 200 c) 245
Answers
Answer:
b) 200
Step-by-step explanation:
The correct answer is b) 200
1) El IVA del balón es de $ 20.
2) El precio final del balón es $ 145.
1) El Impuesto al Valor Agregado (IVA) es un impuesto indirecto que se aplica sobre el precio de compra del artículo comprado, es decir, se trata de un impuesto indirecto al consumo.
El porcentaje por concepto del impuesto varía de país en país. No obstante, el valor más común en países hispanoparlantes se ubica en torno al 16 % del precio de compra del artículo.
El IVA del balón se determina mediante la siguiente operación aritmética:
[tex]\Delta C = 0.16\cdot (125)[/tex]
[tex]\Delta C = 20[/tex]
El IVA del balón es de $ 20.
2) El precio final del producto es la suma del precio de compra y el IVA, es decir:
[tex]C = 125 + 20[/tex]
[tex]C = 145[/tex]
El precio final del balón es $ 145.
Para aprender más sobre impuestos, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/24907444
Nota - El enunciado reporta numerosos errores tipográficos y está incompleto, el enunciado correcto y completo es el siguiente:
Un balón de fútbol tiene un precio de $ 125 + IVA.
1) ¿Cuánto es el IVA del balón? a) 20, b) 145, c) 325
2) ¿Cuál es el precio final con IVA del balón? a) 125, b) 200, c) 145
HELP ASAP NEED ANSWER
Answers
Answer:
2
Step-by-step explanation:
hope this helps
please give brainliest. Thanks! :)
Estimate The Product of 62.375 and 9 (I Need A Clear Answer, DO NOT PUT "SORRY I DONT KNOW BLAH BLAH BLAH I NEED A NICE AND CLEAR QUESTION )
Answers
Joking so i will round to 1 sig fig
So 60 and 10 product is times
60x10=600
when estimating say what you are rounding to
11
A blue dress is marked down 15%. What is the sale price of the dress if the
regular price is $150?
Type your answer...
Answers
Answer:
45 dollar's ezzzzzzzzzzzzz
Round number 245-320
Answers
Answer:
300
Step-by-step explanation:
if you mean, 245.320
I will give brainly Brett has a box that has edges 2.5 meters long. He plans to paint the
outside of all sides, including the top and bottom, of this box. Before
buying the paint, he needs to know the area of the surface he plans to
paint. What is the outside surface area of this box?
Answers
Answer:37.5
Step-by-step explanation:
Answer:
37.5
Step-by-step explanation:
A bullet is fired straight upward with an initial speed of 720 ft/s. It’s path is modeled by the equation h=-16t^2 + 720t, where h is the height of the bullet t seconds after it was fired. When does the bullet reach a height of 4,000 feet?
Answers
Answer:
The bullet reaches a height of 4000 feet after 6.49 seconds, and then, coming back down, after 38.5 seconds.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
The height of the bullet after t seconds is given by:
[tex]h(t) = -16t^2 + 720t[/tex]
When does the bullet reach a height of 4,000 feet?
This is t for which [tex]h(t) = 4000[/tex]. So
[tex]4000 = -16t^2 + 720t[/tex]
[tex]16t^2 - 720t + 4000 = 0[/tex]
Dividing by 16
[tex]t^2 - 45t + 250 = 0[/tex]
So [tex]a = 1, b = -45, c = 250[/tex]
[tex]\bigtriangleup = b^{2} - 4ac = (-45)^2 - 4(1)(250) = 1025[/tex]
[tex]t_{1} = \frac{-(-45) + \sqrt{1025}}{2} = 38.5[/tex]
[tex]t_{2} = \frac{-(-45) - \sqrt{1025}}{2} = 6.49[/tex]
The bullet reaches a height of 4000 feet after 6.49 seconds, and then, coming back down, after 38.5 seconds.
The dry cleaning fee for three pairs of pants is $18. How much will it cost to clean 11 pairs of pants?
Answers
$18/3=6
$6 per one pair of pants
6 times 11= 66
$66
Hope this helps! Have a great day :)
Explain 5 different ways you use Math in your everyday life.
Answers
Answer:
Buying Groceries, paying for a house, maybe in your job, doing schoolwork of course, and counting money.
Step-by-step explanation:
Answer:
1. you use it to calculate time (managing your day)
2. you use it while driving (use in angles and degrees)
3. you use it while drawing (again, use in angles and degrees)
4. you use it while cooking
5. you use it while banking (financial help)
Step-by-step explanation:
hope this helps:) please mark brainliest
The period between two numerals is identified as a decimal point. true or false?
Answers
Answer: TRUE!
Step-by-step explanation: Hope this helps!
Answer: True
Step-by-step explanation:
Which inequality represents the number line below?
x< 2
x > 2
x _< 2
x >_ 2
Answers
Answer:
x_<2
Step-by-step explanation:
its shaded in so you have to flip it
Answer:
The answer is
x_<2
The circle is shaded and the arrow is going to the left hand side
Which expression is equivalent to the given expression?
8(34a)−8
34a
6a
8(34a−1)
34a−1
Answers
Answer:
8(34a-1)
Step-by-step explanation:
Hope this helps :)
Answer:
8(34a-1)
Step-by-step explanation:
Lamar is saving money to buy a game. So far he has saved $6, which is two-thirds of the total cost of the game. How much does the game cost?
Answers
Step-by-step explanation:
$9 because 1 third of 3 third would be $3
Multiplying by which number is equivalent to a decrease of 8.2%?
Answers
Multiply by 0.918
In a city election, 5,000 people voted for mayor. If the new mayor received 60% of the votes, how many people voted for the new mayor? Show how you know.
Answers
Answer:
3000
Step-by-step explanation:
100%-> 5000
60%->3000
Given a point translated from A(1,2) to B(4,4). If a point C at (0,0) is translated in the same way, what will be its new endpoints?
A.(−3,−2)
B.(3,2)
C.(2,2)
D.(3,3)
please help
Answers
Answer:
B. (3,2)
Step-by-step explanation:
Step 1) When shifting from A(1,2) to B(4,4), the point shifted 3 units to the right (which means x=3) and 2 units upwards (which means y=2).
Step 2) So when you apply the same movements to point C(0,0), the new point will be (3,2).
See the diagram below. Step 1 is the graph on the left. Step 2 is the graph on the right. The movement is colored in green. Hope this helps!
John was adding Rational Numbers. He showed his work below. What was John's error?
Explain to John how to solve it correctly.
Adding Rational Numbers Error.
Answers
Answer:
-5 3/5
Step-by-step explanation:
John's error was in adding the whole number and fractional portions separately, the fractions must be converted to improper fractions with common denominators to be added or subtracted properly so
(-7 4/5) + (2 1/5), convert to improper fractions
-39/5 + 11/5, both fractions have common denominator so we can continue
-39 + 11 = -28, so -39/5 + 11/5 = -28/5, convert back to proper fractions
-28/5 = (-25/5) + (-3/5) = -5 3/5
I need to know Sergio rode mph and Sergio walked mph
Answers
Answer:
73
Step-by-step explanation:
Probably
Help plz dis is a lil importatnete
Answers
Following order of operations:
3^2 = 9
(10-2) = 8
Now you have :
9 + 8 x 5 -4
Multiplication is next:
9 + 40 -4
Now just add and subtract from left to right:
9 + 40 = 49
49-4 = 45
The answer is 45
Step-by-step explanation:
So first you solve whats inside of the parenthesis 10 -2 aand get 8 then you figure 3^2 which is 9 then multiplie 8 times 5 and get 40. 9 + 40 - 4 is what it is so far then add 9 to 40 which is 49 then subtract 4 and get 45!
4. Suppose the probability of event A is 0.23, the probability of the intersection of event A and event Bis 0.12, and
the probability of the union of event A and event B is 0.34. Find the probability of the complement of event B.
(A) 0.11
(B) 0.23
(C) 0.48
(D) 0.52
(E) 0.77
Answers
Answer:
[tex]P(B') = 0.77[/tex]
Step-by-step explanation:
Given
[tex]P(A) = 0.23[/tex]
[tex]P(A\ n\ B) = 0.12[/tex]
[tex]P(A\ u\ B) = 0.34[/tex]
Required
Find P(B')
First, we calculate P(B).
We have:
[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]
Substitute values
[tex]0.12 = 0.23 + P(B) - 0.34[/tex]
[tex]0.12 = 0.23 - 0.34 + P(B)[/tex]
Collect like terms
[tex]P(B) = 0.12 - 0.23 + 0.34[/tex]
[tex]P(B) = 0.23[/tex]
P(B') is then calculated as:
[tex]P(B') = 1 - P(B)[/tex]
[tex]P(B') = 1 -0.23[/tex]
[tex]P(B') = 0.77[/tex]