2. You see them in your face:
[tex]\displaystyle m∠F ≅ m∠C;[/tex][tex]$\overline{FD}$[/tex] ≅ [tex]$\overline{CA}$[/tex]
[tex]m∠E ≅ m∠B;[/tex][tex]$\overline{FE}$[/tex] ≅ [tex]$\overline{CB}$[/tex]
[tex]m∠D ≅ m∠A;[/tex][tex]$\overline{ED}$[/tex] ≅ [tex]$\overline{BA}$[/tex]
To sum up, corresponding parts of congruent triangles are always congruent [CPCTC].
1. The edge and angle markings of both triangles represent all corresponding parts. Each angle and edge corresponds with another angle and edge.
I am joyous to assist you at any time.
What is the IQR for the data set? {61, 70, 59, 55, 69, 59, 62} Drag and drop the correct answer into the box.
Answer:
10
Step-by-step explanation:
Interquartile Range Formula:
IQR = Q3 - Q1
Quartiles Quartiles:
Q1 --> 59
Q2 --> 61
Q3 --> 69
69 - 59 = 10
[RevyBreeze]
Answer:
10
Step-by-step explanation:
The IQR(interquartile range is the sencond highest number subtracting 2 lowest number unlike range is highest subtract lowest
Hope this helps have a great day:)
PLEASE HELP I NEED TO PASS MATH!!
Solve for x. Numerical answer only.
Answer:
x=93
Step-by-step explanation:
Same explanation as last one I answered. :)
Plsease help me with this one plsease
can someone help with this
HELPPP!!
Can someone tell me the exact answer to 165 divided by 26? Do I put 6.34615384615 in? Or what do I put!!!!!! Do not say 6.34615384615
Answer
6 with a remainder of 9
Step-by-step explanation:
Answer:
6.35
Step-by-step explanation:
"How many times does 26 go into 165?" is the same as asking "How much is 165 divided by 26?" Thus, the answer can be calculated as follows:
165/26 = 6.35
Tip: When you get a question like "How many times does 26 go into 165?", just think of it as how many times you can fit 26 into 165.
20 points and brainliest. Please help me.
Answer:
una
Step-by-step explanation:
4/20=.20
.20 per pencil
hope this helps, brainliest appreciated
Maria and Rizal entered a competition as a team Rizal's score was 1/3of Maria's score
Maria scored 46 more points than Rizal. How many points did Maria score?
Answer:
Maria 69 Rizal 23
Step-by-step explanation:
M =Maria
(1/3)M = Rizal
M-46= (1/3)M
Multiply both sides by 3 to eliminate fraction
3M-138 =M
138=2M
69= M (Maria =69)
69/3= 23
69-46=23
Alexa opens a savings account with a starting balance of $10,000. She will not make any additional deposits or withdrawals. The account earns 5% simple interest. What is the total amount that Alexa will have in her account at the end of 4 years?
Answer:
$12,000
Step-by-step explanation:
Use the simple interest formula: P = A(1 + rt)
P = final balance (?)
A = starting balance (10,000)
r = interest rate (0.05)
t = years (4)
P = 10,000(1 + 0.05 · 4)
P = 10,000(1 + 0.2)
P = 10,000(1.2)
P = 12,000
How do you calculate the area of the shape that makes up the top and bottom of the cylindee
Cylinder is consists of two circles at both sides .
Area of circle=πr^2There are two circles
Total area:-
2πr^2The shape that makes up the top and bottom of a cylinder is Circle.
The formula to find area of circle is:Where,
r is the Radius of the circleSince, There are two circles we will multiply the area by 2
[tex] \boxed{2\pi {r}^{2} }[/tex]
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
Some important formulas related to circle:
[tex] \boxed{ \sf \: circumference = 2\pi r}[/tex]
[tex] \boxed{ \sf \: area = \pi {r}^{2} }[/tex]
[tex] \boxed{ \sf \:radius = \frac{1}{2} \times diameter }[/tex]
[tex] \boxed{ \sf \:diameter = 2 \times radius }[/tex]
Is 4 a solution of 3x + 8 = 4? Complete the statement.
The equation is ?
when x = 4, so 4 ?
a solution.
Answer:
no 4 isnt. if it was that means it would be 12+8=4. its correct
the correct answer is 3(-4/3)+8=4
Step-by-step explanation:
find the slope of the line y=1/6x + 3/2
The equation is in the form of the linear line: y = mx +b where m is the slope.
Thus the slope is 1/6
Hope that helps!
Consider the equation y=2^x+1-7
2278753378947864-:$#hdsh
help me please! giving brainliest.
Answer:
look at the picture i have sent
The area of a rectangle is 3,600 square inches. The perimeter is 400 inches. What are the length and width of the rectangle.
Answer:
L=100 W=100
Step-by-step explanation:
L+W+L+W
Find the inverse of g(x)=4/x+2
What is 290,750÷125 this is a good one I hope u can work this out.
Answer:
2326
Step-by-step explanation:
A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution below. Fifty people work for the manager. How many people work 4 hours per shift?.
Total number of employee working for four hours per shift for the manager is 2 people.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event. The probability of an event can not be more than the number 1.
The probability of failure of an event is equal to the difference of the 1 to the success of the event.
Here, the manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution below.
Probability Distribution
Hours Worked: X Probability: P(X)
3 0.1
4 ?
5 0.14
6 0.3
7 0.36
8 0.06
As, the probability of an event can not be more than the number 1. Thus, the sum of all the probabilities will be equal to 1.
Let suppose the probability of people working for four hour is x. Therefore,
[tex]0.1+x+0.14+0.3+0.36+0.06=1\\x+0.96=1\\x=1-0.96\\x=0.04[/tex]
Now, the total number of people work for the manager is 50. Therefore, total number of people working for 4 hours are,
[tex]0.04\times50=2[/tex]
Hence, total number of employee working for four hours per shift for the manager is 2 people.
Learn more about the probability here;
https://brainly.com/question/24756209
PLEASE HELP
THIS IS DUE TODAY
In this polygon, all angles are right angles. 21 cm 30 cm 14 cm 46 cm What is the area of the polygon? Show your work.
Answer:
1044 cm²
Step-by-step explanation:
dividend this polygon to 2 rectangular a horizontal and a vertical. then find area of this two rectangular and add together.
area of whole polygon= 30 × (46-21) + 14 × 21 =
30 × 25 + 294 = 750 + 294 = 1044 cm²
How much income with benefits can she expect? $43,500 $48,500 $53,500 $56,000.
Answer:
56,000
Step-by-step explanation:
Basically you add 48,500+2,500+5000 and you get 56,000 which should be D. :)
Answer:
56,000
Step-by-step explanation:
edge 22
100 POINTS AND BRAINLIEST! FULLY CORRECT AND EXPLANITORY ANSWERS ONLY!
You have been hired as a consultant by Mr. Robbins of the large Ice Cream company Dachshund Robbins. As part of assisting them with determining things like the number of cones that can be made per container of ice cream, they’ve asked you to determine the amount of ice cream in a properly filled cone.
Please note Mr. Robbins is very insistent that all cones be properly filled according to the sketch above, and that he’s running an honest business.
PART A: What shapes is the cone composed of that we can find the volume of?
PART B: What is the volume of those shapes?
PART C: Find the volume of the composite shape for Mr. Robbins, and make sure to show your work.
THERE ARE 3 PARTS! ANSWER ALL CORRECTLY AND EXPLANITORY FOR 100 POINTS AND BRAINLIEST! Thank you!!
Part A: the composite shape is composed of a cone and a half sphere
Part B: The volume of the cone is 1186.92 And the volume of the half sphere is 1526.04
Part C: The volume of the composite shape is the solution of 1186.92+1526.04 = 2712.96
The radius of both the cone and the half sphere is 9 inches and the hight of the cone is 14 inches, using the formula (volume = (1/3) · π · r2 · h) Putting the radius in the r spot and squareing it which is equal to 9x9=82 and putting the hight in the h and turning the pi symbol into 3.14 we get
Volume = (1/3) · 3.14 · 82 · 14
We get the volume of the cone which is 1186.92
Then we use the formula (volume = (4/3) · π · r3) putting the radius in where the r is which is equal to 9x9x9 And changing the pi symbol for 3.14 we get
volume = (4/3) · 3.14 · 729 ÷ 2) = 1526.04
We get the volume of the half sphere which is 1526.04
We then add all of it up to get 1186.92 + 1526.04 = 2712.96
I halved it because it's a half sphere
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answer:
see below
Step-by-step explanation:
1. 6 and 6sqrt(2)
2. 5 and 5sqrt(3)
3. 3 and 3
4. 12 and 6sqrt(3)
5. 2 and 2
6. 4 and 8
7. 6/sqrt(2) and 6/sqrt(2)
8. 9/sqrt(3) and 18/sqrt(3)
9.4/sqrt(2) and 4/sqrt(2)
10. 3 and 3sqrt(3)
11. 5 and 5sqrt(2)
12. 12/sqrt(3) and 24/sqrt(3)
Cost of a Kitten: 99.95 Markup:75%
Discount:46%
94.45275 hope this helps
Find the slope of the line.
Please help!
Answer:
undefined
Step-by-step explanation:
This line is a vertical line, meaning it goes up and down. Vertical lines do not have a slope, thus, the answer is undefined.
a bag holds 6 tiles: 2 lettered and 4 numbered. Without looking you choose tile. What is the probability of drawing a number
Answer:
2/3
Step-by-step explanation:
4 numbered tiles out of 6 tiles overall
4/6 simplified is 2/3
A website streams movies and television shows to millions of users. Employees know that the average time a user spends per session on their website is 2 hours. The website changed its design, and they wanted to know if the average session length was longer than 2 hours. They randomly sampled 100 users and found that their session lengths had a mean of 2.75 hours and a standard deviation of 1.55 hours. The employees want to use these sample data to conduct at test about the mean.
Required:
Which conditions for performing this type of test did their sample meet?
Using the Central Limit Theorem, it is found that since the sample size is greater than 30, a normal approximation can be used, hence the test can be made.
Central Limit TheoremThe Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.
In this problem, the distribution of lengths is skewed, however, since the sample size is of 100 greater than 30, a normal approximation can be used, hence the test can be made.
To learn more about the Central Limit Theorem, you can check https://brainly.com/question/24663213
Answer:
The picture shows what you're looking for.
Step-by-step explanation:
Factor: 21x^3+6x^2+7x+2
I will give Brainliest to the first person :) please show all work
Answer:
(3x^2+1)*(7x-2)
Step-by-step explanation:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(((21 • (x3)) - (2•3x2)) + 7x) - 2
STEP
2
:
Equation at the end of step
2
:
(((3•7x3) - (2•3x2)) + 7x) - 2
STEP
3
:
Checking for a perfect cube
3.1 21x3-6x2+7x-2 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 21x3-6x2+7x-2
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 7x-2
Group 2: 21x3-6x2
Pull out from each group separately :
Group 1: (7x-2) • (1)
Group 2: (7x-2) • (3x2)
-------------------
Add up the two groups :
(7x-2) • (3x2+1)
Please help with geometry
Answer:
Step-by-step explanation:
132 + (4x - 10) + (5x - 11) + 128 + (4x+2) = 540 All convex 5 sided figures have 540 degrees. Remove the brackets.
132+ 4x - 10 + 5x - 11 + 128 +4x + 2 = 540 Collect like terms
13x + 241 = 540 Subtract 241 from both sides.
13x = 540 - 241
13x = 299 Divide by 13
x = 299/13
x = 23
<P = 4x + 2
<P = 92 + 2
<P = 94
A rock is dropped from a bridge 320 feet above a river. The pathway that the rock takes can be modeled by the equation h=-16t squared+320. How long will it take the rock to reach the river?
A. 2.5 sec
B. 3.5 sec
C. 3.8 sec
D. 4.5 sec
Answer:
D. 4.5 sec
Step-by-step explanation:
Once the rock is on the ground it has no height (h=0)
h = -16t² + 320
0 = -16t² + 320
16t² = 320
t² = 20
t² = 20
t = √20
t= √4x5
t = 2√5
around 4.5 seconds
When factoring x2−10x−24 ,you need two numbers that multiply to equal -24 and add to -10.
Answer:
-12 and 2; it is factored as [tex](x+2)(x-12)[/tex]
Step-by-step explanation:
Since their product is negative, one is positive and the other is negative.
Moreover, since the sum is negative the greater of the two is negative.
Considering that factors of 24 are 1, 2,4,6, 12, 24 you have the following options:
-24 and 1. Sum gets to -23. Nope.
-12 and 2. Sum is indeed -10. Check!
-6 and 4. Sum is -2. Nope again.
The two numbers are thus -12 and 2. The factorization becomes
[tex]x^2-10x-24 = (x+2)(x-12)[/tex]
Choices below
The exponential grows at approximately half the rate of the quadratic.
The exponential grows at approximately the same rate as the quadratic.
The exponential grows at approximately twice the rate of the quadratic.
The exponential grows at approximately four times the rate of the quadratic.
Answer:
The exponential grows at approximately half the rate of the quadratic.
Step-by-step explanation:
Average rate of change of function f(x) over the interval a ≤ x ≤ b :
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Interval: [tex]0\leq x\leq 1[/tex]
[tex]\implies a=0, b=1[/tex]
Quadratic function: [tex]f(x)=2x^2[/tex]
[tex]\implies f(0)=2(0)^2=0[/tex]
[tex]\implies f(1)=2(1)^2=2[/tex]
[tex]\implies \textsf{Average rate of change}=\dfrac{f(1)-f(0)}{1-0}=\dfrac{2-0}{1}=2[/tex]
Exponential function: [tex]f(x)=2^x[/tex]
[tex]\implies f(0)=2^0=1[/tex]
[tex]\implies f(1)=2^1=2[/tex]
[tex]\implies \textsf{Average rate of change}=\dfrac{f(1)-f(0)}{1-0}=\dfrac{2-1}{1}=1[/tex]
Therefore, the exponential grows at approximately half the rate of the quadratic in the interval [tex]0\leq x\leq 1[/tex]