Answers
Answer/Step-by-step explanation:
Two triangles can be proven to be congruent to each other if two angles and an included side of one triangle is congruent to the corresponding two angles and included side of the other triangle.
Two angles (<C and <A) in ∆ABC, are congruent to two angles (<D and <F) in ∆DEF. Also, the included side (AC) in ∆ABC is congruent to the included side (DF) in ∆DEF.
Therefore, based on the Angle-Side-Angle Congruence Theorem, ∆ABC is congruent to ∆DEF.
Answer:
Answer/Step-by-step explanation:
Two triangles can be proven to be congruent to each other if two angles and an included side of one triangle is congruent to the corresponding two angles and included side of the other triangle.
Two angles (<C and <A) in ∆ABC, are congruent to two angles (<D and <F) in ∆DEF. Also, the included side (AC) in ∆ABC is congruent to the included side (DF) in ∆DEF.
Therefore, based on the Angle-Side-Angle Congruence Theorem, ∆ABC is congruent to ∆DEF.
Step-by-step explanation:
Related Questions
Which of the following situations result in an answer of 2/3? Select three that apply.
A: three dogs each drink 2 cups of water. How many cups of water does each dog drink in all?
B: Two apples split among 3 people. How much of an apple does each person recieve?
C: Two gallons of water needed to fill 3 fish tanks of an equal size. How many gallons of water are required for each tank?
D: Three cupcakes are divided among 2 children. How much of a cupcake would each children receive?
E: Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?
F: Three cats share 2 cans of tuna. How much of a can does each cat receive?
Answers
What is the percent of increase from 54 to 81?
Answers
Answer:
50• A change from 54 to 81 represents a positive change (increase) of 50%
Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music was used by an average of 1.73 million households with a sample standard deviation of 0.46 million family units. Over the same 12 months Spotify was used by an average of 2.17 million families with a sample standard deviation of 0.33 million. Assume the population standard deviations are not the same. Using a significance level of 0.01, test the hypothesis of no difference in the mean number of households picking either service.
Answers
Answer:
There is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service
Step-by-step explanation:
The parameters of the music streaming service are;
The average number of households using Apple Music, [tex]\overline {X}_1[/tex] = 1.73 million
The standard deviation, σ₁² = 0.46 million
The average number of households using Spotify, [tex]\overline {X}_2[/tex] = 2.17 million
The standard deviation, σ₂² = 0.33 million
The significance level = 0.01
Hypothesis testing with different population standard deviation
[tex]Z = \dfrac{\overline {X}_1 - \overline {X}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2}} }[/tex]
H₀: [tex]\overline {X}_1[/tex] ≠ [tex]\overline {X}_2[/tex]
H₁: [tex]\overline {X}_1[/tex] = [tex]\overline {X}_2[/tex]
[tex]Z = \dfrac{1.73- 2.17}{\sqrt{\dfrac{0.46^2}{12} +\dfrac{0.33^2}{12}} } = -2.6923[/tex]
p-value for the test statistic = 2 × P(Z <-2.6923) = 2 × 0.00357 = 0.00714
Therefore, the p-value is less than the significance level, and it is therefore unlikely that the result will be observed under the null hypothesis
We therefore reject the null hypothesis and there is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service
Distance between the object you were looking out in the hands lens is the ____.
Answers
Answer:
Focal length
Step-by-step explanation:
Not sure tbh
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answers
Answer: infinitely many solutions
Step-by-step explanation:
3x + 4y = -5 ... 1
6x + 8y = -10 ... 2
Take the second equation and divide by 2
3x + 4y = -10
As you can see, the two equations are exactly the same
So they have infinite solutions
Statements Reasons Given: AWXY is isosceles with legs WX and WY: AWVZ is isosceles with legs WV and WZ. Prove: AWXY – AWZ 1. given 1. WXY is isosceles with legs WX and WY 2. given 2. AWZ is isosceles with legs WV and WZ Z 3. WX EWY, WE WZ 3. def. of isosceles traingle W 4. def. of V 5. (WZ}(Wx) = (WY) (WZ) 5. multiplication property 6. (WZ)(WX) = (WYWY Complete the steps of the proof. WV 7. property of proportion 8. ZWE ZW 8. reflexive property 9. AWXY - AWZ
Answers
Answer:
1. WX = WY;WV =WZ
2. substitution property
3. SAS similarity theorem
Step-by-step explanation:
Complete steps of the proof are,
4) WX = WY
6) By definition of congruency, Put WZ = WV
9) By SAS congruency.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Triangle WXY is isosceles with legs WX and WY
And, Triangle WVZ is isosceles with legs WV and WZ.
Now, For the proof of the ΔWXY – ΔWVZ;
The complete sentence of the table are,
4) WX = WY
6) By definition of congruency, Put WZ = WV
9) By SAS congruency.
Thus, Complete steps of the proof are,
4) WX = WY
6) By definition of congruency, Put WZ = WV
9) By SAS congruency.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
Brian wants to buy a shirt. He can choose
an XL, L, M, S, or XS long-sleeve or
short-sleeve in white, black, pink, or blue.
How many choices of combinations does
he have?
Answers
Answer:
40 choices of combinations can be made.
Step-by-step explanation:
Given that Brian wants to buy a shirt, and he can choose an XL, L, M, S, or XS long-sleeve or short-sleeve in white, black, pink, or blue, to determine how many choices of combinations does he have, the following calculation must be performed:
XL + L + M + S + XS = 5
LS + SS = 2
W + B + P + B = 4
5 x 2 x 4 = X
10 x 4 = X
40 = X
Thus, 40 choices of combinations can be made.
Someone please help me
Answers
X+95+4x=180
5x+95=180
Subtract 95
5x=85
X=17
% growth Growth factor
a 19% (1 + 0.19) = 1.19
b 3% ____________________
c 9.1% ____________________
d 41.3% ____________________
Answers
Answer:
growth factor for what?
A football team had 32 players last year. This year, the team increased by 25%. How many players are on the team this year
Answers
Answer:
40 players
Step-by-step explanation:
Well if it's a 25% increase and 32=100% then 25%=8 players because 32/4=8 then add it to 32 to get 40 players
Answer:
40 players
Step-by-step explanation:
32x0.25=8
32+8=40
Explain how to use the Pythagorean Theorem to find the missing length of a right triangle.
Answers
Answer:
Step-by-step explanation:
Pythagorean theorem,
Hypotenuse² = base² + altitude²
Substitute the known values and you can find the missing length
can someone help me please
Answers
Answer:
A' = (1, 2)
B' = (2, 3)
C' = (2, 4)
Step-by-step explanation:
Ok so you are given the scale factor of 1/3. You will basically multiply 1/3 to all of the values of point A, B, and C in order to find the values of point A', B', and C'.
A = (3, 6) ---> 3 × 1/3 = 1 and 6 × 1/3 = 2
A' = (1, 2)
B = (6, 9) ---> 6 × 1/3 = 2 and 9 × 1/3 = 3
B' = (2, 3)
C = (6, 12) ---> 6 × 1/3 = 2 and 12 × 1/3 = 4
C' = (2, 4)
Hope this helps and stay safe, happy, and healthy, thank you :) !!
What is 33/16 rounded to the nearest tenth?
Answers
Answer:
2.1
Step-by-step explanation:
33/16=2.06=2.1
25X -5 =
10 + 70x=
6y + 14-8y=
Helppp I have 3 more Minutess:(
Answers
Answer:
X=-5
x=-7
Y=12
Step-by-step explanation:
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
Answers
Answer:
She has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
Step-by-step explanation:
Continuous compounding:
The amount of money earned, after t years, in continuous compounding, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the value of the initial investment and r is the interest rate, as a decimal.
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously.
This means that [tex]r = 0.057[/tex]
How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
We have to find A(0) when [tex]A(t) = 7600, t = 7[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]7600 = A(0)(1+0.057)^7[/tex]
[tex]A(0) = \frac{7600}{(1.057)^7}[/tex]
[tex]A(0) = 5156[/tex]
To the nearest ten dollars, she has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
Matt started his own company where he rents used textbooks to struggling college students at multiple Universities for a low rate. Over the last few years Matt has been able to collect a total of 250 textbooks for his business at Temple University. Unfortunately, students can be irresponsible and lose their textbook rental causing a loss for Matt. Based on past information Matt has collected the data below for Temple University based on losses per semester. #
of losses per semester Probability
0 0.08
5 0.16
10 0.28
15 0.32
20 0.14
25 0.02
a. Calculate the expected frequency of losses per semester. (2 points)
b. Calculated the variance. (2 points)
Now assume that when losses do occur, they are non-random and losses equal $60.
c. Calculate the expected losses per semester? (2 points)
d. Calculate the expected losses for ALL textbooks per semester. (1 point)
e. Calculate the expected losses for ALL textbooks for the next 2 school years (4 semesters). (1 point)
Answers
Answer:
a. Expected frequency of losses per semester = 0*0.08 + 5*0.16 + 10*0.28 + 15*0.32 + 20*0.14 + 25*0.02
Expected frequency of losses per semester = 11.7 losses per semester
b. Variance = (0-11.7)²*0.08 + (5-11.7)²*016 + (10-11.7)²*0.28 + (15-11.7)²*0.32 + (20-11.7)²*0.14 + (15-11.7)²*0.02
Variance = 10.9512 + 7.1824 + 0.8092 + 3.7848 + 9.6446 + 3.5378
Variance = 35.61
c. As losses equal $60, expected losses per semester = 11.7*$60 = $702
d. Expected losses of all textbooks per semester = 250*11.7*$60 = $175,500
please help asap i didn’t pay attention in class
Answers
Answer: omg you are me
Step-by-step explanation:
let p= fg where f (0,5) and g (-4,-3). what is the direction angle of -3/2p?
Answers
Answer: its B) 63
Step-by-step explanation:
On edge 2021
The vaccination center located at Watsessing school supplies turkey and
veggie sandwiches to all workers. Mr. Milano organized the ordering of 80
sandwiches in all, 90% of which were turkey. How many turkey sandwiches did
they serve?
Answers
80 x 0.9 = 72 Turkey sandwiches
can u guys help me with y?
Answers
Answer:
Step-by-step explanation:
Given condition
y = x + 5
When x = - 1
y = - 1 + 5 = 4
when x = 0
y = 0 + 5 = 5
when x = 1
y = 1 + 5 =6
hope it helps :)
31. A business rents cars for $150 a day and vans for $300 a day. One day it rented a total of 30 vehicles and
made a total $5700. How many cars and vans did the business rent that day?
A 8 cars and 22 vans.
B 10 cars and 20 vans
C 20 cars and 10 vans
D 22 cars and 8 vans
Answers
Answer:
D. 22 Cars and 8 Vans
Step-by-step explanation:
1. You multiply 22 x 150 = 3,300.
2. Then you multiply 300 x 8 = 2,400.
3. Next, add 3,300 + 2,400
4. That equals 5700.
Hopefully, that helps!
sketch each graph of each line y=-7/3x+4
Answers
Answer:
Step-by-step explanation:
Which object has the greatest inertia?
1 lb of butter
2 lb bag of sugar
5 lb bag of apples
10 lb bag of potatoes
Answers
Answer:
Its D
Step-by-step explanation:
I took the quiz and got 100
The hanger image below represents a balanced equation.
Select an equation that represents the image.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
5m=505m=505, m, equals, 50
(Choice B)
B
\dfrac{m}{5}=50
5
m
=50start fraction, m, divided by, 5, end fraction, equals, 50
Find the value of mmm that makes the equation true.
m=m=m, equals
Answers
Answer:
The answer is A
Step-by-step explanation:
5m=505m=505,m equal, 50
A regular computer screen has a area of A square inches. The width of the computer screen is 7 inches. Which equation represents x,length of the computer screen in inches.
Answers
Answer:
7 square inches hope this helps brainlest plzzz
Step-by-step explanation:
-12(x - 3) - (2x - 6) = 60
Answers
Answer:
x=-9/7
Step-by-step explanation:
Answer:-12(x - 3) - (2x - 6) = 60
= -12 OJHORZHOEHFOSDHSKDKCDEZIAIFDNSQDKFFFFFFFFFFFFZIDJAZIFJOIJF
Step-by-step explanation:
EFKJNDOIDNOIEFJOAIZFOUJFNJBVJFNVJNZJCN
Help please I really don’t understand this
Answers
Answer:
78.5/250 = 31.4%
Step-by-step explanation:
divide the area of the circle (which is 25π = 78.5 sq in) by the area of the rectangle (which is 25x10 = 250 sq in)
1 litre is equal to how many decalitre
Answers
Divide the volume value by 10
What is the volume of a cube with a side length of 3t5units?
Cube V = s3
Answers
Answer:
V=a3=33=27
Step-by-step explanation:
sorry if its wrong
Can somebody help me?