Select that all apply.
Answer:
C. ASA E. AAS B. HA
Step-by-step explanation:
ASA - The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
AAS - If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the triangles are congruent.
HA - If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another triangle, then the two triangles are congruent.
Answer:
c.asa
Step-by-step explanation:
only C. asa tgat correct answer
Write 7√5 using rational exponents.
Answer:
7*(5)^0,5
Step-by-step explanation:
The value of number 7√5 in form of rational exponents will be 1561/1000.
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
Given that;
The number is,
⇒ 7√5
Now,
Since, The number is,
⇒ 7√5
Solve as;
⇒ 7√5 = 7 × 2.23
= 15.61
= 1561/100
Thus, The value in rational exponents = 1561/1000
Learn more about the rational number visit:
https://brainly.com/question/12088221
#SPJ2
what is 0.375 as a fraction
Answer:
3/8 because 1/8 is .125 multiply by 3 and u get .375 aka 3/8
Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range
Question:
Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range. Calculate s for the data 4, 1, 3, 10, 2.
Answer:
(a)
[tex]Mean = 4[/tex]
[tex]Median=3[/tex]
[tex]Mean > Median[/tex]
(b)
[tex]IQR = 2[/tex]
[tex]SD = 3.2[/tex]
[tex]SD> IQR[/tex]
Step-by-step explanation:
Given:
Data: 4, 1, 3, 10, 2.
Solving (a): The mean and the Median
The mean is calculated as follows:
[tex]Mean = \frac{1}{n} \sum x[/tex]
Where
[tex]n = 5[/tex] i.e 5 data
So, the expression becomes:
[tex]Mean = \frac{1}{5}(4 + 1+3+10+2)[/tex]
[tex]Mean = \frac{1}{5}(20)[/tex]
[tex]Mean = 4[/tex]
Calculating the Median:
First, arrange the order (ascending order):
[tex]Data: 1, 2,3,4,10[/tex]
Because n is odd
The median is represented as:
[tex]Median = (\frac{n+1}{2})th\ item[/tex]
[tex]Median = (\frac{5+1}{2})th\ item\\[/tex]
[tex]Median = (\frac{6}{2})th\ item[/tex]
[tex]Median = 3rd\ item[/tex]
From the arranged data, the 3rd item is 3.
Hence:
[tex]Median=3[/tex]
By comparison, the mean is greater than the median because [tex]4 > 3[/tex]
Solving (b): Standard Deviation and IQR
The standard deviation is calculated as follows:
[tex]SD= \sqrt{\frac{\sum (x_i - Mean)^2}{n}[/tex]
So, we have:
[tex]SD= \sqrt{\frac{(4 - 4)^2+(1 - 4)^2+(3 - 4)^2+(10 - 4)^2+(2 - 4)^2}{5}[/tex]
[tex]SD= \sqrt{\frac{(0)^2+(- 3)^2+(- 1)^2+(6)^2+(-2)^2}{5}[/tex]
[tex]SD= \sqrt{\frac{0+9+1+36+4}{5}[/tex]
[tex]SD= \sqrt{\frac{50}{5}[/tex]
[tex]SD= \sqrt{10}[/tex]
[tex]SD = 3.2[/tex]
Calculating IQR
[tex]IQR = Q_3 - Q_1[/tex]
[tex]Data: 1, 2,3,4,10[/tex]
In (a), we calculate the median as:
[tex]Median=3[/tex]
First, we calculate [tex]Q_1[/tex]
[tex]Q_1 = Median\ of\ the\ first\ half.[/tex]
The first half is:
[tex]First\ Half = 1,2,3[/tex]
So:
[tex]Q_1 = 2[/tex]
First, we calculate [tex]Q_3[/tex]
[tex]Q_3 = Median\ of\ the\ second\ half.[/tex]
[tex]Second\ Half = 3,4,10[/tex]
So:
[tex]Q_3 = 4[/tex]
Recall that:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 4 - 2[/tex]
[tex]IQR = 2[/tex]
So, we have:
[tex]IQR = 2[/tex]
[tex]SD = 3.2[/tex]
By comparison, the standard deviation is greater than the IQR because:
[tex]3.2 > 2[/tex]
So,
[tex]SD> IQR[/tex]
I need the answer ASAP plz
Question 21 (5 points)
Saved
The equation 3(4x) = (4x)3 illustrates which property?
O multiplicative inverse
distributive
O commutative
O associative
Answer:
a
Step-by-step explanation:
What is the length of diagonal BD?
Answer: My answer would be 7.6
Step-by-step explanation: Hope this is correct.
Find the measures of the interior angles.
X = 26 degrees
Step-by-step explanation:
84+ 70=154
180-154= 26
the home plate at a baseball game measures 17 inches across what is the measurement in feet and inches?
a. 1 foot 7 inches
b. 1 foot 5 inches
Answer:
b. 1 foot 5 inches
Step-by-step explanation:
because one foot is 12 inches
. A gym charges $25 a month membership fee. The cost of a personal trainer is $15 per session.
If p represents the number of personal training sessions used and c represents the total
charges at the end of the month, what finear equation can be used to determine a user's
monthly bill?
Classify angle X Y Z. please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!! (Last option is Isosceles triangle) !!!!!!!!!
Answer:
its C
Step-by-step explanation:
In triangle ABC, DEAC. If AD=12, BD=3, and CE=10, find BE.
Answer:
BE = 2.5
Step-by-step explanation:
Remark
Use triangles ABC and DEB.
Formula
AB/DB = BC / BE
Givens
AB = 15BD = 3BC = 10 + xBE = xSolution
15/3 = (10 + x)/x Cross multiply
15x = 3(10 + x) Remove the brackets
15x = 30 + 3x Subtract 3x from both sides.
15x - 3x = 30 Combine
12x = 30 Divide by 12
x = 30/12
x = 2.5
You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for each mile driven. Lyft does not charge to pick up but they have a rate of $0.75 for each mile driven.
Let x = the number of miles traveled and y = the total cost for the trip.
Answer:
Uber: y = .25x + 3
Lyft: y = .75x
Step-by-step explanation:
Using the image above name a 1 pair of each of the following ! Do I have it correct?
Answer:
2 is wrong. That is a vertical angle not a linear pair. A linear pair would be 6 and 7.
Step-by-step explanation:
Everything else is correct.
take off discount and find the sale price of 15%off of $60.00
discount sale price
Answer:
15% off of $60.00 would be $51.00
Step-by-step explanation:
(15 x 15) / 100 = 9
60-9=51
</3 PureBeauty
32^x^+^2=2^x
Find the value of x
Please explain/show work
Answer:
taking log on both side
(x+2)log(32) = xlog(2)
product rule you can use out here U.V formula after that it will give you answer
I need help with a geometry problem
#1
[tex]\\ \tt\hookrightarrow 3x+5=1/2(2x+15+6x-37)[/tex]
[tex]\\ \tt\hookrightarrow 6x+10=8x-22[/tex]
[tex]\\ \tt\hookrightarrow 2x=32[/tex]
[tex]\\ \tt\hookrightarrow x=16[/tex]
#2
[tex]\\ \tt\hookrightarrow 7x+2+25x-14=180[/tex]
[tex]\\ \tt\hookrightarrow 32x-12=180[/tex]
[tex]\\ \tt\hookrightarrow 32x=192[/tex]
[tex]\\ \tt\hookrightarrow x=6[/tex]
Find the total monthly cost for this plan to buy.
Loan Rate Insurance Repairs
Gas
Extra Miles
Misc.
Total Cost
$470.60
$125.00
warranty $69.00 $0.00
$55.50
Answer: $720.10
Step-by-step explanation:
I got this by adding the prices all together
Given that x^2 - y^2 = 45 and x + y = 9, find the values of x and y.
Answer:
x = 7
y = 2
Step-by-step explanation:
x² - y² = 45
(x+y) (x-y) = 45
x + y = 9 (known)
9 x (x-y) = 45
x - y = 5
y = x-5
x + (x - 5) = 9 (substitute)
2x = 14
x = 7
y = 2
Write an
explicit formula for An, the nth term of the sequence 7, -42, 252, ....
Answer:
[tex]A_n = 7(-6)^{n-1}[/tex]
Step-by-step explanation:
Key skills needed: Explicit formula, Geometric sequence
1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.
This can be done by doing -42 ÷ 7 or 252 ÷ -42
-42 ÷ 7 equals -6.
252 ÷ -42 also equals -6.
2) This means that constant is -6.
3) The general form for an explicit formula of a geometric sequence is:
[tex]a_n = a_1(r)^{n-1}[/tex]
--> r means the constant (or common ratio) that is being multiplied.
--> [tex]a_1[/tex] means the first term
--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).
--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.
4) We can use this formula to create an explicit formula for the geometric sequence in the problem.
--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).
--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)
This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]
Hope you understood and have a nice day!! :D
find the equation of the straigt line
if you are correct then ill give you brainliest answer!
Given :
A graph with a straight line on it.
To Find :
The equation of the line.
Solution :
From the given graph we can see that the line passes through point ( 0,6 ) and ( 4,10 ) .
Also, equation of line passes through two points [tex](x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex] is :
[tex]y - y_1 = (\dfrac{y_2-y_1}{x_2-x_1})( x - x_1)[/tex]
Putting all given values, we get :
[tex]y - 6 = (\dfrac{10-6}{4-0})( x -0)\\\\y - 6 = x\\\\y -x = 6[/tex]
Therefore, the equation of line is y - x = 6 .
Help!
Sarah was standing on a dock next to the ocean. She kicked a soccer ball off the dock to her friend in the water. 4 seconds after she kicked the ball it reached a height of 9 feet above the water. It hit the water 6 seconds later.
Write an equation for the path of the rock in y=a(x-h)^2+k and give the height of the dock that she kicked the ball from. Show your work!
Answer:
1) The equation for the of the ball in y = a·(x - h)² + k is;
y = -16·(x - 5)² + 25
2) The height of the dock, d = -375 feet below the water level
Step-by-step explanation:
1) The question is with regards to quadratic function representing projectile motion
The given parameters are;
The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet
The time the ball hits the water = 6 seconds after reaching the 9 feet height
The form of the quadratic equation representing the motion is given as follows;
y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k
Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;
The equation for the ball, y = a·(x - h)² + k
Where;
(h, k) = The coordinates of the vertex
h = The horizontal component of the vertex coordinate = 0
Therefore, we have;
When x = 0, y = d
d = -16·(0 - h)² + k = -16·h² + k
d = -16·h² + k
When x = 4, y = 9 - d
9 - d = -16(4 - h)² + k = -16(4 - h)² + k
When x = 2, y = d
d = -16(2 - h)² + k
When x = 6, y = 9
9 = -16(6 - 5)² + k
When x = 8, y = d
d = -16(8 - h)² + k
-16(8 - h)² - (-16(2 - h)²) = 0
h = 5
From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k
d = 9 - k
9 = -16(6 - h)² + k
k = 9 + 16(6 - 5)² = 25
d = 9 - k = 9 - 25 = -16
Therefore, h = 5, k = 25
The equation for the of the ball in y = a·(x - h)² + k is therefore;
y = -16·(x - 5)² + 25
2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water
The height of the dock, d = -375 feet below the water level
The number 299 is divided into two parts in
the ratio 5:8. The product of the numbers
(A) 21140
(C) 21160
(B) 21294
(D) 31294
What is the difference between –11x – 2 and 13x + 5?
24x + 7
-24x + 7
24x + 3
-24x - 7
____________________________
1.) Find the opposite of 13x + 5:To find the opposite of 13x+5, find the opposite of each term.[tex]13x=-13x[/tex][tex]5=-5[/tex]- We do this because when solving this they are in parenthesis, so you must get rid of the parenthesis by turning them negative.
Equation at the end of Step 1:
[tex]-11x-2-13x-5[/tex]2.) Combine −11x and −13x:[tex]-11x+-13x=-24x[/tex]- We do this since we can only have on variable at the end of the problem, so you just combine them if they have the same variable base.
Equation at the end of Step 2:
[tex]-24x-2-5[/tex]3.) Subtract 5 from −2:[tex]-2-5=-7[/tex]- We do this because we need one number left over to get a simplified version of this equation.
Equation at the end of Step 3:
[tex]-24x-7[/tex]____________________________
Which set of numbers is arranged in increasing order? A. , , , B. , , , C. , , , D. , , ,
Answer: Option B.
Step-by-step explanation:
By an online search, i found that the options are:
A: (123873, 24765, 25000, 5678)
B: (16287, 16728, 16827, 16872)
C: (98782, 98728, 98287, 98278)
D: (78082, 78802, 78208, 78028)
The numbers will be arranged in increasing order if the difference between all the pairs of consecutive numbers in the set is positive (where the order of the numbers if from left to right):
For example, for the set A the differences are;
1) 24765 - 123873 = -99108
The difference is negative, then the second number is smaller than the first one, then the numbers are not arranged in increasing order.
Now let's see with set B:
1) 16728 - 16287 = 441
2) 16827 - 16728 = 99
3) 16872 - 16827 = 45
All the differences are positive, then the numbers on this set are arranged in increasing order.
We could easily see that in sets C and D the numbers are not arranged in increasing order, in set C the second number is smaller than the first one.
and in set D the third number is smaller than the second number.
Answer: sorry if it is not what you wanted I wasn't sure on what to submit
Chi has a big pile of nickels. He says, “Even if I use 100 of these nickels, I’ll still have 95% of my original pile.” How many nickels does Chi have?
Answer:
2000
Step-by-step explanation:5%= 100 nickels
1%= 20 nickels
20 x 100 = 2000
Answer:
2,000
Step-by-step explanation:
If 5%=100 nickels , then 20x100=the number of nickels Chi has.
20x100=2,000
help plsss someone asap, i’ll mark as brainliest if correct!
Answer:
A.) y=x-2
Step-by-step explanation:
Each value in the "x" section is 2 numbers less than its corresponding number in the "y" section.
Find the rate of change
Answer:
non linear
Step-by-step explanation:
you can see it doesnt go up a specific number each time, aka changes each time, therefor its non linear
Answer:
2
Step-by-step explanation:
Use the method
Change in output / Change in input
The input progresses by 1, and y progresses by 2.
We will plug the numbers in.
2/1
Then simplify.
2/1 = 2
Hence, the rate of change is 2.
I need help with this ASAP
Answer:
it is D
since 6 percent of people infected by 10 day
Lenny bought a motorcycle. He paid 12.5% in tax. The tax added 1437.50 to the price of the motorcycle what was the price of the motorcycle not including the tax
Answer:
Amount of motorcycle = $11,500
Step-by-step explanation:
Given:
Tax rate = 12.5 % = 0.125
Amount of tax = $1,437.50
Find:
Amount of motorcycle
Computation:
Amount of motorcycle = [Amount of tax ] / Tax rate
Amount of motorcycle = [1,437.50] / 0.125
Amount of motorcycle = $11,500