Based on the outside angles theorem, the value of x is: 42°
What is the Outrside Angles Theorem?The outside angles theorem states that the measure of the angle that is formed outside a circle when two tangents or secants intersect is half the measure of the diffrence of the intercepted arcs.
Given the following:
One arc measure = 222°The second arc measure = 360 - 222 = 138°Therefore, based on the outside angles theorem, we would have the following:
x = 1/2(222 - 138)
x = 42°
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The coldest temperature recorded on the surface of a planet was - 248 Celsius is the warmest temperature recorded on the surface of the planet was 108 Celsius what are the correspondence temperatures in degrees Fahrenheit
Answer:
-414.4 F° and 226.4 F°
hope it helps
9. All quadrilaterals are parallelogram. A True B. False C. Maybe D. Sometimes cial kind of na lelogram because
Answer:
B
Step-by-step explanation:
This statement is false because quadrilaterals just mean a polygon with 4 sides, but a parallelogram is a shape with two sides of opposite length. For example, a scalene quadrilateral has 4 sides, but none are the same length.
The quadratic function
Answer:
Four and three arithmetic numbers of this equation are then
Step-by-step explanation:
[tex]x = 3 = x = 4 > - 4 > < - 3 = x = 4[/tex]
And the numbers are equal
[tex]x = 4 \\ y = 3 \\ x \times y = 12 = 12 > 4 > 3 = xy = 0 = \\ xy = - 12[/tex]
What is the value of x? Enter your answer in the box.
Answer:
x = 8
y = 6
Step-by-step explanation:
First and foremost, it's an equilateral triangle, therefore all sides and angles are equal.
Knowing that the sum of angle in a triangle is 180°, therefore each angle is 60°.
Then equating (7x+4)° to 60, we have that,
7x+4=60
7x=60-4
7x=56
x=56÷7
x=8.
HELP IF U ACTUALLY KNOW THE ANSWER QUICK PLEASE
Answer: D
Step-by-step explanation:
16+18+19+21+21=95
95/5 is 19
95+37=132
132/6=22
The difference is
Part B 287
Find the product of the expressions.
Answer:
12
Step-by-step explanation:
The electrical current, in amperes, in a circuit varies directly as the voltage. When 18 volts are applied, the current is 6 amperes. What is the current when 51 volts are applied?
Answer:
Step-by-step explanation:
6 Ampheres or 6A
Step-by-step explanation:
I = Current (unit is Amphere or A)
V = Voltage (unit is Volt or V)
R = Resistance ( unit is Ohm or Ω)
Formulas:
V=IR ; when getting the voltage
R=V/I; when getting the resistance
I=V/R; when getting the current
Solution of the Problem:
First, you have to get the resistance using the first given senario.
Distribute the given values (Voltage=15 Volts or 15V and Current= 5 Ampheres or 5A) to the formula on how to get the resistance.
R=V/I = 15 Volts/5 Ampheres
= 3 Ohms or 3Ω
Now, you have the value of the resistance which is 3 Ohms or 3Ω and the given value of voltage which is 18 Volts or 18V for the second senario.
I=V/R = 18 Volts/ 3 Ohms
= 6 Ampheres or 6A
So, the value of the current is 6 Ampheres or 6A
mark me brainliest and hope this helps!
4 2 5 0
3 2 8 7
2 1 8 ?
Answer:
5
Step-by-step explanation:
which is a correct method for solving this equation for X
Answer:
B
Step-by-step explanation:
adding both sides will leave you at x/3=15
then diving by 3, the two 3s will cancel out and you will be left with x=15
the ratio between two no is 2:3 . if the consequent is 24 the antecendent is
antecedent : 16
ratio: 2 : 3
=========
antecedent : 2
consequent : 3
=============
[tex]\rightarrow \sf \dfrac{2}{3}=\dfrac{x}{24}[/tex] [ x is antecedent ]
[tex]\rightarrow \sf 2(24)=3(x)[/tex]
[tex]\rightarrow \sf 48=3(x)[/tex]
[tex]\rightarrow \sf x= 16[/tex]
Additional information:
In the ratio, a : b Here the "antecedent is a" and "consequent is b"
Learn more: brainly.com/question/23948357Stephanie has brought 12 bottles of juice to a party but there are more than 12 children. If she gives each child
3/4 of a bottle, how many children will she be able to serve?
Answer:
16 children
Step-by-step explanation:
divide 12 by .75 you get 16
hope that helps
Mary borrows $5,000 dollars from her mother at a 3% simple interest rate and pays her $600 in interest after years. What is the value of ?
2
3
4
5
Answer:
4 years
Explanation:
[tex]\sf simple \ interest :\dfrac{P * R *T}{100}[/tex]
[tex]\hookrightarrow \sf \dfrac{5000*3*t}{100} = 600[/tex]
[tex]\hookrightarrow \sf {15000*t} = 600(100)[/tex]
[tex]\hookrightarrow \sf t = \dfrac{60000}{15000}[/tex]
[tex]\hookrightarrow \sf t = 4[/tex]
Answer:
The time will be 4 years .
Step-by-step explanation:
Given :
Simple Interest = $600
Principle = $5,000
Rate = 3%
Time = ?
Formula for Simple Interest = P×R×T / 100
=> 5,000 × 3 × T / 100 = 600
=> T = 60,000 / 5,000×3
=> T = 60,000/15000
=> T = 4 years
When using a reflective device such as a Mira to bisect angle ABC where should the reflective device be placed?
A. Place the reflective device along line segment AB
B. Place the reflective device along line segment AC
C. Place one end of the reflective device on the vertex B and swing the other end until you can see the reflected line segment BC coincide with line segment AB
D. Place one end of the reflective device on the vertex A and swing the other end until you can see the reflected line segment AB coincide with line segment AC
Answer:
c. Place one end of the reflective device on the vertex B and swing the other end until you can see the reflected line segment BC coincide with line segment AB
Step-by-step explanation:
Answer:
Step-by-step explanation:
20. You owe $1,568.00 on a credit card with a limit of $2,200.00 at an interest rate of 11.3% APR. You pay $300.00/month until it is paid off. How many months does it take you to pay it off?
- 6 months
- 9 months
- 4 months
- 7 months
Answer:
(a) 6 months
Step-by-step explanation:
The formula for figuring the monthly payment on an amortized loan can be used for finding the length of time it takes to pay off the loan.
That formula is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where A is the monthly payment, P is the principal value of the loan, r is the annual interest rate, and t is the number of years.
__
Using the given information, we can solve for t:
300 = 1568(0.113/12)/(1 -(1 +0.113/12)^(-12t))
1 -(1 +0.113/12)^(-12t) = 1568(0.113)/(12(300))
(1 +0.113/12)^(-12t) = 1 -(1568·0.113)/(12·300) ≈ 0.950782
Taking logs, we get ...
-12t·log(1 +0.113/12) = log(0.950782)
t = log(0.950782)/(-12·log(1 +0.113/12)) ≈ 0.448739 . . . . years
This fraction of a year is ...
(12 months/year)(0.448739 years) = 5.38 months
It will take you 6 months to pay off the loan.
the question is attached
Evaluate the expression (3-2i)(3-2i) and write the result in the form a+bi ,where a is the real part of your answer and bis the coefficient in front of the imaginary part
Answer:
a = 5, b = -12
Step-by-step explanation:
By basic factoring, you get 9 - 12i + [tex]4i^2[/tex]. Since [tex]i^2[/tex] is simply -1, the expression evaluates to 9 - 12i - 4, which is 5 - 12i.
Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)
Just answer part B please! :)
Answer:
nonlinear
Step-by-step explanation:
Part B: nonlinear
The radius increases so the line is an arc going upwards not a linear line.
In other words, not a straight line.
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
What is the surface area of this rectangular prism?
198 in²
312 in²
396 in²
504 in²
rectangular prism with length labeled 7 inches, width labeled 6 inches, and height labeled 12 inches
Answer:
it's 396
Step-by-step explanation:
I took the k-12 quiz math Surface Area quiz
Sandy brought 6 1/4 dozen cookies to the bake sale. Alejandro brought 1 3/4 fewer cookies than Sandy brought. Pierre brought 2 3/4 dozen fewer cookies than Alejandro brought. How many dozen cookies did Pierre bring?
Answer: 4 1/2 doezen cookies
Step-by-step explanation: just subtract. Hope this helps.
Which transformation would create an image and a pre image that are similar figures?
The transformation which would create an image and pre image that are similar figures is dilation.
What is Similarity Transformation?Similarity transformations are transformations where there occurs a dilation with one or more transformations like rotation, reflection or translation.
This is called so because the triangles so formed will be similar figures.
Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
When the pre image is reflected, rotated or translated, it is not affecting the shape and the size. So the image and the pre image will be congruent.
Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.
Dilation enlarges or reduces the size, so they are similar figures.
Hence dilation is the similar transformation.
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A quantity with an initial value of 4000 grows exponentially at a rate of 0.05% every 5 decades. What is the value of the quantity after 1 year, to the nearest hundredth?
The value of the quantity after 1 year, to the nearest hundredth is 4000.00
The exponential form of an equationThe standard exponential equation is eexpressed as:
[tex]P(t)=P_0e^{kt}[/tex]
Given the following parameters
[tex]P_0=4000\\r =0.0005\\t = \frac{1}{50} =0.02 (yearly)[/tex]
Substitute into the formula to have:
[tex]P(t)=4000e^{0.0005(0.02)}\\P(1)=4000e^{0.00001}\\P(1)=4000[/tex]
Hence the value of the quantity after 1 year, to the nearest hundredth is 4000.00
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A bag of fruit contains 3 apples, 2 oranges, 1 banana, and 4 pears, Gerald will randomly select two pieces of fruit
one at a time from the bag and not put them back. What is the probability that the first piece of fruit Gerald selects will be a banana and the second piece of fruit will be a pear?
Answer:
2/45
Step-by-step explanation:
The probability that a banana is picked for the first one is:
1/10
because there are 10 fruits and one of them is a banana,
Then, the second piece has to be a pear.
For this we have already picked one fruit out of the bag, which leaves 9 fruits in the bag.
There are 4 pears so the probability of picking a pear second is
4/9
To find the probability of a banana and then a pear, you want to multiply these values together
So:
1/10 x 4/9 = 4/90 = 2/45
So the probability is 2/45
Write each expression without the absolute value symbol.
PLEASE HELP
Step-by-step explanation:
| x - 19 + 11 | = | x - 8 |
look at the picture.
The expression without the absolute value symbol is:
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
|(x - 19) + 11|
This can be written as,
= |x - 19 + 11|
= |x - 8|
Now,
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
Thus,
The expression without the absolute value symbol is:
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
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molly makes 70% of her free throws. The random numbers below represent 20 trials of a simulator of two free throws, using the numbers 9 through 0
38 38 21 50 64
71 66 42 47 90
80 82 29 98 27
87 89 89 93 03
let the numbers from --- to ----- represent a successful free throw.
let the numbers from ---- to ----- represent a missed free throw.
based on the simulated results, the probability that molly makes both free throws is
----- or ------%
The random number simulator of Molly's throws is an illustration of probability.
The probability of making both free throws is 30%
How to determine the probability?From the complete question, we understand that:
The simulator is based on numbers 0 to 9
Given that she makes 70% of her free throws, then it means that 7 of the 10 numbers would represent a successful throw, while the other three would represent a missed throw
So, we have:
Let the numbers from 0 to 6 represent a successful free throw.Let the numbers from 7 to 9 represent a missed free throw.From the random numbers, she has two successful free throws in:
21 50 64 66 42 03 --- 6 numbers of 20
The probability of making two free throws is then calculated as:
P = 6/20
Evaluate
P = 30%
Hence, the probability of making both free throws is 30%
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Solve by completing the square
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 8x = 33 [/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 8x +16 = 33 + 16 [/tex]
[tex]\qquad \sf \dashrightarrow \: (x + 4) {}^{2} = 49[/tex]
[tex]\qquad \sf \dashrightarrow \: x + 4 = \sqrt{49} [/tex]
[tex]\qquad \sf \dashrightarrow \: x + 4 = \pm7[/tex]
Hence, there are two solutions ~
1. when x + 4 = 7[tex]\qquad \sf \dashrightarrow \: x + 4 = 7[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 7 - 4[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 3[/tex]
2. when x + 4 = -7[tex]\qquad \sf \dashrightarrow \: x + 4 = - 7[/tex]
[tex]\qquad \sf \dashrightarrow \: x = - 7 - 4[/tex]
[tex]\qquad \sf \dashrightarrow \: x = - 11[/tex]
I hope you understood ~
Suppose you deposit $2,500 in a savings account that pays interest at an annual rate of 6%. If no money is added or withdrawn from the account, answer the following questions,
a. How much will be in the account after 3 years?
b. How much will be in the account after 18 years?
c. How many years will it take for the account to contain $3,000?
d. How many years will it take for the account to contain $3,500?
Answer:
A: 2977.54
B: 7135.84788228
C: 4
D: 6
Step-by-step explanation:
Find the length of the ramp. ?
35 ft
12 ft
The length of the ramp is_____ ft.
Answer:
37 Feet
Step-by-step explanation:
We can use Pythagoras Theorem to solve this:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]35^{2} +12^{2} =c^{2}[/tex]
[tex]1225+144=c^{2}[/tex]
[tex]1369=c^{2}[/tex]
[tex]\sqrt{1369} =c[/tex]
37 = c
Answer:
37 ft
Step-by-step explanation:
Use Pythagorean Theorem for right triangles to find the hypotenuse
35^2 + 12^2 = Ramp^2 ramp = 37 ft
Find the 20th item of the following sequence. -6, -4, -2, 0, ...
Answer: 32.
Step-by-step explanation: Assuming that the first 4 numbers count, the sequence goes as follows:
-6, -4, -2, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, and 32.
Let me know if this is right! :)
Could someone help me with this?
Step-by-step explanation:
Identity the variable:
Initial Velocity is 35.
Initial Height is 204
Final Height is 0.
What looking for the time.
So we have
[tex]0 = - 16 {t}^{2} + (35)t + 204[/tex]
Use Quadratic Formula,
[tex] - b± \frac{ \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
A is -16, B is 35 , C is 204.
So we have
[tex] - 35± \frac{ \sqrt{ {35}^{2} - 4( - 16)(204) } }{ - 32} [/tex]
[tex] - 35± \frac{ \sqrt{1225 + 2240} }{ - 32} [/tex]
[tex] - 35± \frac{ \sqrt{3465} }{ - 32} [/tex]
[tex]{35} ± \frac{ \sqrt{3465} }{ - 32} [/tex]
The positve solution is
[tex]4.83[/tex]
So the answer is 4.83 seconds
The following equation models the deer population during mating season starting April 1, 2016, where m is time in months.
1053(1.23)^m = N
(a) How many deer were there on April 1, 2016?
(b) How many deer were there on May 1, 2016?
(c) What is the monthly growth rate?
(d) What is the yearly growth rate?
(e) What is the weekly growth rate?
The function N =1053(1.23)^m or 1053(1.23)^m = N is an illustration of an exponential function
The deer on April 1, 2016The function is given as:
N =1053(1.23)^m
On April 1, 2016; the value of m is:
m = 0
So, we have:
N =1053(1.23)^0
N = 1053
Hence, there are 1053 deers on April 1, 2016
The deer on May 1, 2016The function is given as:
N =1053(1.23)^m
On April 1, 2016; the value of m is:
m = 1
So, we have:
N =1053(1.23)^1
N =1295
Hence, there are 1295 deers on May 1, 2016
The monthly growth rateAn exponential growth function is represented as:
y = a(1 + r)^x
Where r represents the growth rate
By comparison; the monthly growth rate (r) is calculated as:
1 + r = 1.23
Subtract 1 from both sides
r = 0.23
Express as percentage
r = 23%
Hence, the monthly growth rate is 23%
The yearly growth rateWe have the monthly growth rate to be 23%
There are 12 months in a year.
So, the yearly growth rate is:
y = 23%^12
Evaluate
y = 0.00022%
Hence, the yearly growth rate is 0.00022%
The weekly growth rateWe have the monthly growth rate to be 23%
There are 4 weeks in a months
So, the weekly growth rate is:
m = 23%^(1/4)
Evaluate
m = 69%
Hence, the weekly growth rate is 69%
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