The theorem that applies to the similar triangles is AA theorem.
How to find similar triangles?Similar triangles are triangle with same shapes but may be different sizes.
Similar triangle have corresponding sides as a ratio of each other.
The triangles above have two of their angles equal, therefore, the triangles are similar.
They are similar by AA theorem.
AA theorem of similarity states that If two of angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.
30 ≅ 30
95 ≅ 95
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2. On the Internet, you find an Latin quiz with 10 matching vocabulary questions. Your 3 year old niece randomly matches the
words with the definitions. What is the probability that she makes 100 on the quiz?
Does the order matter? Yes -
This is a permutation
Will all of the words be matched? Yes -
Can we use factorials? Yes -
How many different ways can the answer key be arranged?
P(all correct)
(Enter your answer as a reduced fraction using/ for the fraction bar.)
Answer:
Assume that there is a Latin quiz with 10 matching vocabulary questions, and your niece try to match them randomly. Then, the probability that she gets the first item right is
1
10
since there is only one correct answer for this item out of 10 options. Now, the probability that she gets the second item right is
1
9
since there is only one correct option and there is only 9 options left to choose from. So, in a similar fashion, the probability that she will get the third item correct is
1
8
, the fourth item correct is
1
7
and so on. Therefore, the probability that she will match them all correctly (getting a 100 on the quiz) is equal to
1
10
⋅
1
9
⋯
1
2
⋅
1
1
=
1
10
!
=
1
3628800
A right triangle is labeled with the hypotenuse 12m and an acute angle 23 degree
. Which of the following equations could be used to find the side length of one of the legs of the triangle.
A) sin. 23=12/x
B)cos =12/x
c)sin 23 =x/12
D) tan 23=x/12
Answer:
sin23= x/12
sin23(12)=x
0.391(12)=x
x=4.7 or 5
How many groups of 3/4 are in 6 and 1/2
A membership to a movie night club costs $10 plus $2 per movie. Write the equation in slope intercept form to represent the situation
The equation in slope-intercept form is y = 2x + 10.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Cost of membership = $10
Cost per movie = $2
The total cost for x movie.
= 10 + 2x
This can be written as,
y = 2x + 10
This is a slope-intercept form.
Where 2 is the slope.
Thus,
The equation is y = 2x + 10.
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A bike tire just ran over a nail, and it is losing pressure at a rate of 5% every minute. The tire pressure is currently 900 kilopascals. What will it be in 7 minutes?
9514 1404 393
Answer:
629 kilopascals
Step-by-step explanation:
The tire pressure is given by the exponential function ...
p(t) = 900·0.95^t
where t is in minutes and p is in kilopascals.
p(7) = 900·0.95^7 ≈ 629 . . . . kilopascals
Helpppppppp helpppppppp
Answer:
D
Step-by-step explanation:
divide the fraction lol
Answer:
D
Step-by-step explanation:
gchchchxhccydhdjchhxxhxchxxhbddbxbdbhdxh
is this correct? 3^10 over 3^7 = 3^3
Answer:
Yes, you are correct
Step-by-step explanation:
Answer: Yes it is.
Step-by-step explanation:
calculate the middle number between 1.5 and 7.1
Answer:
4.3
Step-by-step explanation:
Add the numbers and divide by 2 , finding the average, that is
middle number = [tex]\frac{1.5+7.1}{2}[/tex] = [tex]\frac{8.6}{2}[/tex] = 4.3
Answer:
4.3 is the answer
Step-by-step explanation:
(1.5 + 7.1 ) ÷ 2 = 4.3
Simplify( (-4/5)^-2)^2
Felicia picks 1/2 bushel of apples in 2/5 hour how many bushels of apples does Felicia pick in one hour at this rate written as a decimal
THE ANSWER IS NOT B
If you can’t see the picture plz zoom in.
The box plots show Theo's math scores and language arts scores.
About 50% of Theo's scores are in which range for each subject?
60 to 85 for math: 60 to 80 for language arts
55 to 90 for math: 50 to 90 for language arts
55 to 60 for math: 50 to 60 for language arts
85 to 90 for math 80 to 90 for language arts
Answer:
B
Step-by-step explanation:
Find y in the parallelogram
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
RS || UT , SU oblique
Thus :
[tex]y = 45[/tex]
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Can you answer the Situation For 50 points
Problem Situation: Jimmy is reading a book for school that is 175 pages long. So far, He has read 50 pages. She can read 25 pages per hour. How many hours will it take her to finish the remainder of the book?
Which answer choice best represents the unknown quantity in this problem
A: h, the number of hours it will take to finish the book
B: p, the number of pages she can read per hour
C: b , the total number of pages in the book
D: a, the number of pages she has already read
Answer:
a
Step-by-step explanation:
Rafael was asked to construct a square inscribed in a circle. He drew a circle and
a diameter of the circle. Describe how to complete his construction. Then, complete
the construction.
Answer:
here you go
Step-by-step explanation:
Kareem and Lena each open a savings account today. Kareem opened his account starting amount of $370, and he's going to put a $95 per month. Lena opened her account with the starting amount of $850, and she's going to put in $35 per month. let x be the number of months after today.
a- for each amount write an expression for the amount of money in the account after x months
b-write an equation to show into accounts would have the same amount of money
Answer:
D= It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.
Step-by-step explanation:
Help I will be marking brainliest!!!
A. 201.32
B. 37.24
C. 96
D. 126.32
Answer:
96
Step-by-step explanation:
su=153
ts=57
su-ts=tu
153-57=96
tu=ou
ou=96
Answer:
A
Step-by-step explanation:
Find length of segment > Been so long i did this problem
How I get answer by simplify
SU = 153
Multiply to CO =75
Divide that 57
Which get 201.31 ,But your question round nearest hundredth
201.32
Answer : A
~~~~~~~~~~~~~~~~~~~~~~~
" Problem it said look carefully" Round nearest hundredth
pleaseee help ill marl brainliest!
Answer:
c
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Steve has 10 biscuits in a tin.
There are 6 digestive and 4 chocolate biscuits.
Steve takes two biscuits at random from the tin.
Work out the probability that he chooses two different types of biscuits.
Answer:
31/90 is the prob.
Step-by-step explanation:
sorry if this is incorrect :9
ty for reading :9
Using the triangle in the diagram, what would be the coordinate of A' if reflected over the line x=2 ? *
(0, 3)
(0, -3)
(4, -3)
(-4, 3)
Show work!
1. James did an experiment. He started out with 640 bacteria cells. He found that the growth rate of the bacteria
cells was 5.3%. Sketch the graph that represents the situation. Label the y-intercept and the point that
represents the projected bacteria population 25 h from the time James started the experiment.
2.The function f(x) = 150(1.3)
t
represents the number of bikes sold at Peer’s Bike store in months. The graph
represents the amount of bikes sold at Cycles R Us bike store in the same time period.
Answer:
y = 2327.49 ---> 25 hrs
starting plot points (0,640) and ending (25, 2327.49)
Step-by-step explanation:
b = 640
r = 5.3% = 0.053
t = 25
y = 640 ( 1 + 0.053)^25
y = 640 ( 1.053)^25
y = 2327.49 ---> 25 hrs
starting plot points (0,640) and ending (25, 2327.49)
Write an equation in slope-intercept form of the line that passes through the given points. 0,4 4,2
First, find the slope: m = Δy/Δx = (2-4)/(4-0) = -0.5
The "intercept" in the slope-intercept form of a line is the y-intercept. And at the y-intercept, x = 0. Conveniently, one of our points has an x = 0, i.e., the point (0,4). So, our equation would be y = -0.5x + 4.
If you wanted to double-check, you could use the point (4,2) to find the point-slope equation of the line and see if it matches up with the slope-intercept form above. Given a slope of -0.5 and a point (4,2), our point-slope equation would be y - 2 = -0.5(x - 4). If we expand this, we get y - 2 = -0.5x + 2. Solving for y, we obtain y = -0.5x + 4.
Thus, y = -0.5x + 4 would be our equation.
The points (-1, r) and (2, 3) lie on a line with slope -1.Find the missing coordinate r
Answer:
r=0
Step-by-step explanation:
1) Place point (2, 3) on graph.
2) Use the slope of -1 to go left -1 and go down -1
3) Until you get to x value of -1
(C) Write an equation for the amount, a, that Maria makes as a function of the number of hours, h, that she
tutors. Keep in mind that Maria will make $0 for tutoring for 0 hours.
Answer:
yes
Step-by-step explanation:
yes
At the World Cup, 25% of the teams are from South American countries. If there are 40 teams in the World Cup, how many are from South American countries? Construct a double number line if needed.
Answer:
10
Step-by-step explanation:
100% = 40 teams
1% = 40 ÷ 100 = 0.40
25% = 0.40 x 25 = 10
Answer:
10
Step-by-step explanation:
100%/4=25%
40/4=10
You have to divide 100% by 4 because 25 goes into 100 four times.
What ever you do on the bottom or top you to do it top or bottom.
So 40 divide by 4 is 10.
Then you have you answer.
.A 15 m ladder rests against a wall at an angle of 60° with the ground. How far is the
foot of the ladde from the wall?
9514 1404 393
Answer:
7.5 m
Step-by-step explanation:
The cosine relation applies.
Cos = Adjacent/Hypotenuse
cos(60°) = (distance to wall)/(15 m)
distance to wall = (15 m)cos(60°) = (15 m)(1/2) = 7.5 m
The foot of the ladder is 7.5 m from the wall.
7. Maria quiere agrandar la foto de su
graduación de manera proporcional de
tal manera que su área sea 16 veces la
de la original. Si la que se muestra a
continuación tiene las medidas de la
foto original, ¿cuál será el perimetro de
la nueva foto?
6
24
960
450
240
76
Answer:
the perimeter is 960
Step-by-step explanation:
The computation of the perimeter is shown below;
If we assume
= (24 × 2) + (6 × 2)
= 48 + 12
= 60
And, the area is 16 times to that of original So
= 60 × 16
Hence, the perimeter is 960
Solve the equation. Graph the solution on a number line. (You don’t have to graph it, I just need the equation answer.)
5x = 20; x = ?
Thats the question please help!! emergancy
Answer:
a) 1/25
b) 4/25
Step-by-step explanation:
the length of the edge of a cube is ³√7 cm. Find the volume of a cube
Answer:
7 [tex]cm^{3}[/tex]
Step-by-step explanation:
volume is length X width X height
since a cube has the same measurement for length, width, and height, the volume is found by multiplying [tex]\sqrt[3]{7}[/tex] X [tex]\sqrt[3]{7}[/tex] X [tex]\sqrt[3]{7}[/tex]
the answer is 7
Ramon and his brother go to an amusement park. They each go on the Ferris wheel that costs $6 per ticket and a roller coaster that costs $9 per ticket. Ramon pays for all the tickets. How much does Ramon pay altogether?
Answer:
6+6=12
9+9=18
12+18=30
30 dollars
Answer:
$30
Step-by-step explanation:
6+6=12
9+9=18
18+12=30
I would assume this was the right answer if not i would need more information to go with the question