Points A, B, C and D are on the circle. The ∠ACB and ∠ADB are angles subtended by the same arc AB. If arc AB measures (5x – 30)° and m∠ACB = (x + 15) °, what is m∠ADB?
Answer:
m∠ADB = 35°
Step-by-step explanation:
From the figure attached,
∠ACB and ∠ADB are the angles subtended by the same arc AB.
m(arc AB) = (5x - 30)°
m∠ACB = (x + 15)°
Since, "measure of an arc is double of the measure of the angle subtended by the arc at the circumference"
m(arc AB) = 2(m∠ACB)
(5x - 30) = 2(x + 15)
5x - 30 = 2x + 30
5x - 2x = 30 + 30
3x = 60
x = 20
By using theorem,
"Angles subtended by the same arc in the same segment of a circle are equal in measure"
Therefore, m∠ACB = m∠ADB
Since, m∠ACB = (x + 15)°
= 20 + 15
= 35°
m∠ADB = 35°
Find the Area of the shaded region of the trapezoid below. (show your work or explain how you got your answer in words) *
What is the total distance Mark rode his bike ?
Answer:
By adding all the answer will be 1 3/10
Help me solve this math problem
Find the surface area of this rectangular prism.
a - 3 square units
b - 9 square units
c - 21 square units
d - 102 square units
Answer:
102 un²
Step-by-step explanation:
Area surface = 4( 3 x 7 ) + 2( 3 x 3 )
4( 21 )+ 2( 9 ) =
84 + 18 = 102 un²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
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HELP ILL GIVE BRAINLIEST
Answer:
y= -3x + 5
Step-by-step explanation:
The slope of the line is m=−3
m=−3.
The equation of the line in the slope-intercept form is y=−3x+5y=−3x+5.
The equation of the line in the point-slope form is y−5=−3xy−5=−3x.
George has $23 to spend on art supplies. He wants to buy markers, paper, and glue. If the cost of the markers and paper is more than $14, which inequality represents the dollar amount, p, George can spend on glue?
Answer:p< 9
Step-by-step explanation: that is the correct answer
Suppose in 2008 the average cost of a movie ticket in the United States was $7. If
inflation causes ticket prices to increase by 4.5% a year, in what year will a ticket cost
$25?
a. 2025
b. 2037
c. 2029
d. 2040
Answer:
B) 2037
Step-by-step explanation:
using the problem an exponential equation can be made
7(1.045)× =25
--solve for x--
x=28.9
it will take 28.9 year for the price to get to $25 so add 2008 to 28.9 to get 2036.9
2037 is closest to 2036.9 so the answer is B
find the common factor of the following monomials
Answer:
[tex]7x^{3}[/tex]
Step-by-step explanation:
Find the prime factor of each term to find the GCF. 7 is the GCF of both 21 and 28.
A rectangle with an area of 124 cm2 has a length that is 4 times the width. What is the width?
Answer:
62
Step-by-step explanation:
124*2=248
248/4=62
The school store sells spiral notebooks in four colors and three different sizes. The table shows the sales
by size and color for 407 notebooks. What is the experimental probability that the next customer buys a
red notebook with 150 pages? Enter your answer as a simplified fraction.
100 Pages
150 Pages
200 Pages
Red
59
65
Green
34
49
17
Blue
27
55
25
Yellow
13
21
15
27
The experimental probability is
Answer:
3/20
Step-by-step explanation:
f(x) = 3^x-9. Find the inverse of f(x). ASAP
Answer:
A
Step-by-step explanation:
Given :
f(x) = ³√[ x - 9 ]And we need to find the inverse of the given function. We can do it by Firstly Interchanging x and y.
So that ,
[tex]:\implies[/tex] f(x) = y
[tex]:\implies[/tex] y = ³√[ x - 9 ]
[tex]:\implies[/tex] x = ³√[ y - 9 ]
[tex]:\implies[/tex] x³ = y - 9
[tex]:\implies[/tex] y = x³ + 9
[tex]:\implies[/tex] f-¹(x) = x³ + 9
Hence option A is correct .
The inverse of the function is f' ( x ) = x³ + 9
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
f ( x ) = ∛ ( x - 9 )
To find the inverse , replace x with y , we get
y = ∛ ( x - 9 )
x = ∛ ( y - 9 )
On solving for y , we get
y = x³ + 9
Hence , the inverse is y = x³ + 9
To learn more about function rule click :
https://brainly.com/question/3760195
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If measure KL=136 and measure LH= 113. find measure angle KJH
A) 113
B) 120°
C) 136
D) 111
Answer:
D) 111
Step-by-step explanation:
In order to find ∠KJH we must find the measure of arc KH
Note that ∠KJH is a central angle and arc KH is the arc it intercepts
Because ∠KJH is a central angle it equal the measure of its intercepted arc
Thus, ∠KJH = arc KH
J is a circle that is made up of 3 arc; KL, LH and KH
If you didn't know the sum of the arcs in a circle = 360°
Which means that arc KL + arc LH + arc KH = 360
If arc KL = 136 and arc LH = 113
Then 136 + 113 + arc KH = 360
^ ( note that we just created an equation that we can use to
solve for arc KH )
We now solve for arc KH
136 + 113 + arc KH = 360
* combine like terms *
136 + 113 = 249
we now have 249 + arc KH = 360
* subtract 249 from each side *
249 - 249 cancels out
360 - 249 = 111
We're left with arc KH = 111°
Like stated previously arc KH = ∠KJH
Hence, ∠KJH = 111°
Jessica thinks that she might have made a mistake on her tax return and paid more tax than she needed to. Complete the statements describing what Jessica can do.
Jessica can hire
to check her tax return. If a mistake is found, Jessica can file Form
to have the IRS correct the mistake and refund any excess taxes she paid.
Answer:
A certified accountant and can file 1040X
Step-by-step explanation:
The probability distribution for a
random variable x is given in the table.
X
-5
3
-2
0
12
3
Probability
.17
-13
1.33
.16
. 11
. 10
Find the probability that x<0
Answer:
0.50
Step-by-step explanation:
X ___ - 5 ___ 3 __ - 2 __ 0 __ 12 __ 3
P(x) __0.17_0.13_0.33 _0.16 _0.11 _0.10
P(x <0) = p(x = - 2) + p(x = - 5)
P(x < 0) = 0.33 + 0.17
P(x < 0) = 0.50
Answer:
the answer is 0.79
Step-by-step explanation:
.17+.13+.33+.16=0.79 they are asking for less then or equal to 0 so just add all the percents of those numbers and boom hope that helped :)
simplify 2x²/x²-7x+12 - x²+9/x²-7x+12
Answer:
(x+3)/(x-4)
Step-by-step explanation:
[2x²/(x-4)(x-3)] - [x²+9/(x-4)(x-3)] =
(x²-9)/(x-4)(x-3) =
(x+3)(x-3)/(x-4)(x-3) =
x+3/x-4
Answer:
2x²/x² - 7x + 12 - x² + 9/x² - 7x + 12
2x²/x² simplifies to just 2 (the x²s cancel out)
2 - 7x + 12 - x² + 9/x² - 7x + 12
add like terms: (2 + 12 + 12) + (-7x - 7x) - x² + 9/x²
= - x² - 14x + 9/x² + 26
Suppose we must choose 4 rooms out of
the 100 rooms in a dormitory. We
randomly choose one each out of rooms
1-25, 26-50, 51-75, and 75-100. This is an
example of:
A. A convenience sample
B. A self-selected sample
C. A systematic sample
D. A random sample
Answer:
C. A systematic sample
Step-by-step explanation:
Answer: The answer is C
Acellus sux
Step-by-step explanation:
What is 1/2 off of 3.28
Answer:
The answer is 6.56
I HOPE THIS HELPS FELLOW STAY!!
and the answer to 1/2 of 3.48 is 6.96
Which angle is about 30°?
Answer:
your answer is going to be a
Help me with this please!!!!!!!!!!!!!!
Answer:
sin 60 = opp/hyp = f/(6√2)
f = 6✓2 × sin 60 = 6✓2 × (✓3/2)
= 3✓6
please help answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!! ASAP !!!!!!!
Answer:
16.9°
Step-by-step explanation:
tan x = 1.7/5.6
tan^-1 x = 16.9°
Find the area of the figure.
4 in.
-6 in.
6 in.
10 in.
Answer:
68 in
Step-by-step explanation:
Find area of the rectangle - 6 x 10 = 60
Find area of the triangle (Formula - 1/2(base)(height)) - 1/2(4)(6) = 8
Add them - 60 + 8 = 68
8. An $18,000 car depreciates at a rate of 16% per year. How old will the car be when it is worth $12,000?
What is the circumference of the circle when there's a radius of 5
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
A
Step-by-step explanation:
which is the simplified form of x-¹²?
A. x¹²
B. -x¹²
C. 1/x¹²
D. -1/x¹²
Answer:
c. 1/x½
x- 12 = 1/x½
hope it helps
Step-by-step explanation:
-
does anyone know how to find the area of a triangle on a graph ? THIS CAN BOOST MY GRADE BY THREE LETTERS!
Answer:
1/2bh
Step-by-step explanation:
graph has base and height
also triangle have base and height
How do I solve these problem?
Answer:
- 199
Step-by-step explanation:
7.
a1 = 25
d = - 16
15th term is t15.
Formula : -
an = a + ( n - 1 )d
t15
= 25 + ( 15 - 1 ) - 16
= 25 + 14 ( - 16 )
= 25 + ( - 224 )
= 25 - 224
= - 199
Select all of the expressions that are equivalent
to 18x+6.
Answer:
6(3x+1)
To check
6×3x=18x
6×1=+6
Answer:
1st, 2nd, 5th
Step-by-step explanation:
Please give me BRAINLIEST and THANKS lol
7/8 = m - 5/12 What is m?
Answer:
31/24 or 1.29
Step-by-step explanation:
First isolate m to one side of the equation
7/8+5/12=m
21/24 + 10/24=m
31/24=m or you can simplify to get 1.29
