Answer:
SAS theorem
Step-by-step explanation:
Given
[tex]\square ABCD[/tex]
[tex]\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD[/tex]
[tex]\angle BAC = \angle DCA[/tex]
Required
Which theorem shows △ABE ≅ △CDE.
From the question, we understand that:
AC and BD intersects at E.
This implies that:
[tex]\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC[/tex]
and
[tex]\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED[/tex]
So, the congruent sides and angles of △ABE and △CDE are:
[tex]\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD[/tex] ---- S
[tex]\angle BAC = \angle DCA[/tex] ---- A
[tex]\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED[/tex] or [tex]\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC[/tex] --- S
Hence, the theorem that compares both triangles is the SAS theorem
Use a sum identity to find the exact value of cos 285.
1. The more seats an airline can put in an airplane, the more money it will make. However, if seats are too narrow, passengers will be angry and uncomfortable. An airline might first consider the average woman's hip breadth when designing seats. Why would the airline use women instead of men when determining the maximum width of an airline seat?
Answer:
Airlines would use women instead of men because women usually have wider hips compared to the average men. So if they give enough room for the average women, then there will be enough room for the average man.
Step-by-step explanation:
Could someone find this for me?
Answer:
Step-by-step explanation:
Answer:
10.9
Step-by-step explanation:
Your gonna use the Pythagorean theorem to find x
5^2+x^2=12^2
x^2= 12^2- 5^2
x^2= 144-25
x^2= 119
x= root 119 or 10.9
can you help me solve this
9514 1404 393
Answer:
a) $2.40
b) $16.80
c) y = -2.40x +16.80
Step-by-step explanation:
a. Dylan's daily spending is the opposite of the slope of the line on the graph. That slope can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (4.8 -12)/(5 -2) = -7.2/3 = -2.4
Dylan spends $2.40 at lunch every day.
__
b. The y-intercept can be found from the formula ...
b = y1 -m(x1)
b = 12 -(-2.40)(2) = 16.80
Dylan's dad gives him $16.80 at the beginning of each week.
__
c. The slope-intercept equation is ...
y = mx + b
y = -2.40x +16.80
6 1/2 divided by 3 2/3
Answer:
39/22 = 1 17/22
Step-by-step explanation:
Attached below :
I hope im right!!
solve
A.12 + (-7) =
b.-7 - 3 =
Answer:
a. 5
b. -10
Step-by-step explanation:
i hope this helps :)
Answer:
A) 5 B) -10
Step-by-step explanation:
A) 12-7 = 5
Can someone please help me with math
Answer:
7 is B
8 is C
9 is D
Step-by-step explanation:
Hey There!
So as you can see in the first image the slope of a line that passes through the coordinates (-3,1) and (5,-7) is -1
As you can see in the second image the equation of the line that passes through the points (-2,5) and (3,15) is y=2x+9
The last one is D because the equation is a=2b-3
The statement that says a is equal to 3 LESS then TWICE B is correct cause its saying that 2b - 3 is equal to a
Help to find the area of this I will rate you 5 star
The isotope Herodium-100 decreases by half every minute, Herodium-100 is there
isotope that gives a super hero their strength. Once the amount depletes to 4 ml, a
superhero becomes tired and need to leave the fight. If Mathman has 2000mL in his
body, when will he have to rest and replenish, rounded to the nearest minute?
Answer:
After about 9 minutes.
Step-by-step explanation:
We can write an exponential function to model the decay of Herodium-100.
We are given that it decreases by half every minute.
The standard exponential function is given by:
[tex]f(m)=A(r)^m[/tex]
Where A is the initial amount, r is the rate, and m is the rate (in this case, in minutes).
Mathman initially has 2000 mL of Herodium-100. Therefore, A = 2000.
And since it decreases by half every minute, r = 1/2. Thus:
[tex]\displaystyle f(m)=2000\Big(\frac{1}{2}\Big)^m[/tex]
Mathman needs to rest when the Herodium-100 levels drop to 4 mL. Therefore, we can substitute 4 for f(m) and solve for m:
[tex]\displaystyle 4=2000\Big(\frac{1}{2}\Big)^m[/tex]
Solve for m. Divide both sides by 2000:
[tex]\displaystyle \frac{4}{2000}=\frac{1}{500}=\Big(\frac{1}{2}\Big)^m[/tex]
We can take the natural log of both sides:
[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=\ln\Big(\frac{1}{2}^m\Big)[/tex]
By logarithm properties:
[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=m\ln\Big(\frac{1}{2}\Big)[/tex]
Therefore:
[tex]\displaystyle m=\frac{\ln(1/500)}{\ln(1/2)}\approx 8.9657\approx 9\text{ minutes}[/tex]
Mathman will have to rest and replenish after 9 minutes.
Pls help ASAP NUMBER 2
Answer:
The answer to the question is 2 and 5
Write the linear equation in slope-intercept form given the following:
Answer:
y=-2/3x+4
Step-by-step explanation:
i found the slope using rise and run equation, its -2/3
i just saw that the y-intercept is -4, and yeah.
btw im assuming that the value of one unit is 1.
have a great day
brainliest?
The mean age of 5 people in a room is 39 years.
A person enters the room.
The mean age is now 36.
What is the age of the person who entered the room?
Answer:
fast multiply 5 by 39 to get the total age of the five people now as you are told those per 5 so imagine the six person being you if you enter you're going to add to their ages so they mean is going to be for six people so take the six people x their mean age now we have two different total ages for the five people and for the six people subtract the total age of the 5 from the 6th total ages to get the age of the person who entered the room if you don't understand please ask me and be willing to help
Answer:
The age of the person who entered the room is 21.
Step-by-step explanation:
Mean of 5 peoples = 39
i.e.
Sum / 5 = 39
Sum = 39 x 5
Sum = 195
Mean after one person enters the room = 36
Let x be the age of the new person.
Then
Mean = (Sum + x)/ 6
36 = (195 + x)/6
36 x 6 = 195 + x
216 = 195 + x
x = 216 - 195
x = 21
4s - 3
9r - 17
3r + 13
7s
Solve for s
Step-by-step explanation:
step 1. the diagram is very unclear and should be redone
step 2. I'll assume 9r - 17 and 3r + 13 are vertical angles and are equal
step 3. 9r - 17 = 3r + 13
step 4. 6r = 30 or r = 5
step 5. I'll assume 4s - 3 and 7s - 24 are alternate interior angles and are equal
step 6. 4s - 3 = 7s - 24
step 7. 3s = 21 or s = 7.
HELP ME PLEASE ....<3
Answer:
33
Step-by-step explanation:
the diagram shows triangle ABC
work out the sizes of angles x,y and z
Answer:
Step-by-step explanation:
x= 180-110(angles on a straight line)
x= 70
y=x=70 (alternate angles)
z= 110(alternate angles)
A cone-shaped game piece has a volume of 1.177 cm?. The diameter of the base of the game piece is 2 cm
A baby dolphin is born into the ocean, which is a fairly cold environment. Water has a high heat conductivity, so the thermal regulation of a newborn dolphin is quite important. It has been known for a long time that baby dolphins' blubber is different in composition and quantity from the blubber of adults. Does this make the babies better protected from the cold compared to adults? One measure of the effectiveness of blubber is its "conductance". This value as calculated on 5 newborn dolphins and 6 adults dolphins (Dunkin et al. 2005).
Answer:
Yes
Step-by-step explanation:
Yes, the difference in composition and quantity from the blubber of baby dolphins in comparison to that of adults allows them to regulate and maintain their body temps much more efficiently. This in term allows baby dolphins to have a much higher probability of survival as opposed to if their blubber was the same as adults. Once they reach a certain age the composition begins to change since they are able to more easily adapt to their environment.
Order the fractions, decimals, and percents from least to greatest. ( If you get it right I will mark you Brainliest.
Step-by-step explanation:
Convert all into decimals:
0.14, 4/8=0.5,0.33
Answer:
0.14, 0.33, 0.5
or
0.14, 3/9, 4/8
If y =-5 when x =12.5 find x when y =15
Answer:
x = -37.5
Step-by-step explanation:
Set up a proportion so -5/12.5 = 15/x
Solve for x so -5x = 15(12.5) so -5x = 187.5 so x = -37.5
Find x: (10x-1) (14x-37)
Answer:
140x^2−384x+37
Step-by-step explanation:
(10x+−1)(14x+−37)
=(10x)(14x)+(10x)(−37)+(−1)(14x)+(−1)(−37)
=140x^2−370x−14x+37
Answer:
X=9
Step-by-step explanation:
Pull out like factors :
-4x + 36 = -4 • (x - 9)
Solve : -4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : x-9 = 0
Add 9 to both sides of the equation :
x = 9
4 The graph compares the number of people at a party and
the number of slices of pizza ordered. Which statement
is true?
PLEASE ASAP
Tatiana wants to give friendship bracelets to her 323232 classmates. She already has 555 bracelets, and she can buy more bracelets in packages of 444.
Can you write this as an inequality please and answer fast thanks.
30 Points..
Answer:
She already has 5 and the total is 32 so she has to make 28 friendship bracelets. Bracelets in packages of 4 and she buys 5 packages which is 20 so no, she doesn't have enough bracelets if she buys 5 packages.
Step-by-step explanation:
fifteen thousandths as a percent?
Answer:
1.5%
Step-by-step explanation:
you would convert from a fraction to a percent
15 / 1,000 = 1.5%
BC is tangent to circle A. Determine the length of AC.
Answer:
5
Step-by-step explanation:
AC=√(3^2+4^2)=√(9+16)=√(25)=5
Please please help me before it's to late
Answer:
it is the 3rd one to the bottem
o.7 - 0.31 = 0.39
Step-by-step explanation:
Zoey inflated 24 balloons for the high school dance. If Zoey inflated 15% of the total number of balloons at the dance, how many balloons are there total?
Answer:
Total number of balloons= 160
Step-by-step explanation:
Giving the following information:
Number of balloons inflated by Zoey= 24
Proportion of balloons inflated= 15%
To calculate the total number of balloons, we need to use the following formula:
Total number of balloons = Number of balloons inflated by Zoey / Proportion of ballons inflated
Total number of balloons= 24 / 0.15
Total number of balloons= 160
A basketball team scored 82 points in a game. The players made no free throws,and the number of two point field goals was 2 more than 5 times the number of three point shots. How many of each shot did they make?
Answer:
3 points = 6
2 points = 32
Step-by-step explanation:
Points scored = 82
Let
Number of 2 points goals = x
Number of 3 point goals = y
2x + 3y = 82 - - (1)
x = 5y + 2 - - - (2)
(1) Becomes :
2(5y + 2) + 3y = 82
10y + 4 + 3y = 82
13y = 82 - 4
13y = 78
y = 78/13
y = 6
x = 5y + 2
x = 5(6) + 2
x = 30 + 2
x = 32
2. Causation implies a cause and effect relationship. Which pair BEST describes a
causation relationship?
a) A child's age and shoe size
b) The number of ice cream cones sold and the amount of sunscreen sold
c) The temperature at a football game and the amount of hot drinks sold
d) The number of people attending a ballgame and the length of the ballgame
el
Answer:
C
Step-by-step explanation:
I would say that if it were not outside you would tend to sell more drinks and / or if it were cold outside you would tend to sell less drinks
3400 dollars is placed in an account with an annual interest rate of 5.25%. To the nearest year, how long will it take for the account value to teach 10800 dollars
Answer:
23 years.
Step-by-step explanation:
Are these triangles similar
Answer:
Yes, by AA theory
Step-by-step explanation:
They are related right triangles.