Answers
Answer:
y=70°
z= 60°
w= 70°
Step-by-step explanation:
Since the two triangles are similar, we know that all of the corresponding angles must be the same. On the triangle on the left, we can see that the angle formed between sides AB and AC is 60°. This means that the same angle is formed at Z, which is in the same location on the triangle to the right. From there, we can find the missing angle, W, from the difference of 180°.
180°-50°-60°=70°.
The same way we found Z, we can also find Y, since it has to be the same as W.
Related Questions
If you roll a fair 6 sided die and then roll a second fair what is the probability that you roll 1, 2, or 3 on the first die and roll 5 on second
Answers
Given:
A fair 6 sided die is rolled and then a second fair die is rolled.
To find:
The probability that you roll 1, 2, or 3 on the first die and roll 5 on second.
Solution:
If two fair die are rolled, then the total possible outcomes are
S= {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
So, total outcomes = 36.
Favorable outcomes of getting 1, 2, or 3 on the first die and roll 5 on second are (1,5), (2,5), (3,5).
So, favorable outcomes = 3
We know that
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{3}{36}[/tex]
[tex]\text{Probability}=\dfrac{1}{12}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].
You deposit $800 in an account that pays 2.25% annual interest compounded continuously. About how long will it take for the balance to triple?
O 48.8 years
O 24 years
O 36 years
O 52.6 years
Answers
Answer:
48.8 years
Step-by-step explanation:
A=p(1+r/n)^nt
A= total amount
p= initial investment (800_
r/n= annual interest rate over number of years( 2.25)
t= number of years compounded ( annually , biannually, quarterly etc.)
48.8 years
Please help! i cant figure it out
Answers
Answer:
y = 3, y = - 1
Step-by-step explanation:
P is the centroid of the triangle.
Centroid of a triangle divides the median in the ratio 2 : 1
Therefore,
BP : PV = 2 : 1
[tex] \frac{BP}{ PV} = \frac{2}{1} \\ \\ \frac{ {y}^{2} + 1 }{y + 2} = \frac{2}{1} \\ \\ {y}^{2} + 1 = 2y + 4 \\ \\ {y}^{2} + 1 - 2y - 4 = 0 \\ \\ {y}^{2} - 2y - 3 = 0 \\ \\ {y}^{2} - 3y + y - 3 = 0 \\ \\ y(y - 3) + 1(y - 3) = 0 \\ \\ (y - 3)(y + 1) = 0 \\ \\ y - 3 = 0 \: \: or \: \: y + 1 = 0 \\ \\ y = 3, \: \: y = - 1 [/tex]
Which of these expressions is equivalent to`-2(x-5)`?
Answers
Answer: 2x+10 is equivalent but id.k if it was a choice bc u didnt put any
Step-by-step explanation: thx for the points
Choose the multiplication equation that is related to the division equation eight divided by one fourth.
Question 21 options:
one twelfth multiplied by one fourth equals eight
one thirty second multiplied by one fourth equals eight
twelve multiplied by one fourth equals eight
thirty two multiplied by one fourth equals eight help
Answers
Answer:
thirty two multiplied by one fourth equals eight
Step-by-step explanation:
Someone please help and PLEASE make sure it’s right! Thank you!!! :)
Answers
Answer:
7
Step-by-step explanation:
i have checked, i have spoken
A car that is worth 32,000 decreases in value (V) by 12% per year (t). How much will the car be worth in 3 years? (Please round to the nearest dollar) plz help
Answers
Answer:
$21,807.10
Step-by-step explanation:
Amount ( percent decrease)^time
32,000(0.88)^3 = $21,807.10
Percent decrease = 100 - 12 = 88%
Lin's father is paying for a $20 meal. A 7% sales tax is applied. What does Lin's father pay for the meal
Answers
Answer:
$21.40
Step-by-step explanation:
7% is equal to .07
multiply .07 times 20
=1.40
add the $1.40 sales tax to the meal price to get 21.40
Which sequence is an example of an arithmetic sequence
Answers
Answer:
Only the third sequence is arithmetic
Step-by-step explanation:
If the sequence has a common difference, then it is arithmetic. To find the common difference, substract a term from the next term.
First sequence:
10 - 20 = -10 5 - 10 = -5 The differences are not the same, so the sequence is NOT arithmetic
Second sequence:
-6 - (-3) = -3 -18 - (-6) = -12 The differences are not the same, so the sequence is NOT arithmetic
Third sequence:
10 - 5 = 5 15 - 10 = 5 20 - 15 = 5 The differences are the same, so the sequence is arithmetic
Fourth sequence:
10 - 5 = 5 20 - 10 = 10 The differences are not the same, so the sequence is NOT arithmetic
please help!!!!!!!!!!!!!!
Answers
Answer:
This function is exponential
Which expression has a value that is 6 times the value of the expression 63 – 3y?
A. 6 X 63 - 3y
B. 63 - 3y + 6
C. 63+ (6 x 3y)
D. 6 X (63 - 3y)
o
Answers
Answer:
D. 6x(63-3y)
Step-by-step explanation:
You would be multiplying
Step-by-step explanation:
You want to be very carful with the parentheses for this question.
You want to find the equation that is 6 times the value of 63 - 3y, so you want to put the equation 63 - 3y in one big parentheses.
6 x (63 - 3y)
Define a variable for the unknown quantity below.
"the number of players on a football team who also have a job"
Answers
Step-by-step explanation:
Gladys blister is luggage
A garden table and a bench cost $935 combined. The garden table costs $85 more than the bench. What is the cost of the bench?
Answers
Answer:
The bench costs $425
And the Table costs $510
Step-by-step explanation:
table + bench = $ 935
$85 + 2b = $935
$935 - $ 85 = $ 850
$850/ 2 = 425 = b
Select all the expressions that have a value of 40 when x = 10.8.
4,320 - X
288
+ 16
(x2 - 18) + 33.52
(1,752 + x) – 162
+ 36
12
Answers
Answer:
the third expression
Step-by-step explanation:
x=10.8
(x2 / 18) + 33.52
10.8 x 10.8=116.64
116.64 divide by 18=6.48
6.48 + 33.52=40
Write the slope-intercept form of the equation of the line through the given points.
through: (5,1) and (1, -3)
Answers
Answer:
y = x-4
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( -3 -1)/( 1 - 5)
= -4/-4
= 1
Then using slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 1x+b
Substitute one of the points in
1 = 5 +b
1-5 = b
-4 =b
y = x-4
There are 32 cars, 24 trucks, and 8 vans in a parking lot.
Answers
PLEASE HELPPPP DUE IN 2 minutes
Answers
Answer:
16
Step-by-step explanation:
because it is
Answer: 16
Step-by-step explanation: Here's a little tip for you. Any number can be converted to a fraction if you use 1 as the denominator:
64/1
So now that we've converted 64 into a fraction, to work out the answer, we put the fraction 1/4 side by side with our new fraction, 64/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
1x64/4x1 = 64/4
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers:
The GCF of 64 and 4 is 4.
We can now divide both the new numerator and the denominator by 4 to simplify this fraction down to its lowest terms:
64/4 = 16
4/4 = 1
When we put that together, we can see that our complete answer is:
16/1
The complete and simplified answer to the question what is 1/4 of 64 is:
16
Hopefully, this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.
This Is My Most Complex Answer Yet, If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Which are linear pairs? Check all that apply. ∠DAE and ∠EAD ∠BAC and ∠CAD ∠BAE and ∠EAD ∠EAD and ∠DAC ∠CAE and ∠BAD
Answers
Answer:
B). ∠BAC and ∠CAD
C). ∠BAE and ∠EAD
D). ∠EAD and ∠DAC
Step-by-step explanation:
As we know, a linear pair consisting of angles at a single point of the line has a sum of 180° in total. In other words, two supplementary angles together comprise a linear pair. In the given figure, the pair of supplementary angles ∠BAC and ∠CAD, ∠BAE and ∠EAD, and ∠EAD and ∠DAC are the linear pairs as their sum is 180°. Thus, options B, C, and D are the correct answers.
Step-by-step explanation:
EAD ∠BAC and ∠CAD ∠BAE
helpppp! The function f(x) = 4(2) models the
length of an image in centimeters after it
has been enlarged by 100% x times.
Which of these is the length of the image
after it has been enlarged 3 times?
Answers
Answer:
after it has been enlarged 3 times
The distance traveled can be calculated using the formula D = s · t where s is the speed and t is the total time. Which of the situations below represent a total distance of 400 km? Select all that apply.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]D = s.t[/tex]
Required
Which represents 400km
This question requires options. Since none were given, I will answer on a general term.
Situation 1:
s = 20km/h and t = 20h
[tex]D = s.t[/tex]
[tex]D = 20km/h * 20h[/tex]
[tex]D = 400km[/tex]
Situation 2:
s = 10km/h and t = 40h
[tex]D = s.t[/tex]
[tex]D = 10km/h * 40h[/tex]
[tex]D = 400km[/tex]
Situation 3:
s = 40km/h and t = 10h
[tex]D = s.t[/tex]
[tex]D = 40km/h * 10h[/tex]
[tex]D = 400km[/tex]
So, all you literally have to do is multiply the values of s and t. If the product gives 400, then; that situation is D = 400
Read the paragraph. Click or tap Two underlined words that are SYNONYMS a. initate b. commence c. extend d. termanate
Answers
Answer:
where is the paragraph?
Step-by-step explanation:
1
Select the correct answer from each drop-down menu.
The function ($) = 38 has been transformed, resulting in function h.
h(s) = -(* + 2) - 4
To create function h function was translated 2 units
V, translated 4 units
and reflected across the
Reset
Next
Answers
Answer: up
Step-by-step explanation: good
Please help
a. Start with: 60
Rule: Increase by 20%
60 , 72, ?, ?, ?
Answers
Answer:
60, 72, 86.4, 103.68, 124.42
Step-by-step explanation:
How do I add 20% to a number?
Divide the original number by 100 to get 1% of it.
Multiply 1% by your desired percentage, in this case 20.
Add the product of the previous step to your original number.
Congratulate yourself on adding 20% to your number!
Answer:
60, 72, 86.4, 103.68, 124.416, ...Step-by-step explanation:
Given sequence:
60, 72, ...The rule is adding 20%
Adding 20% is converted to common ratio:
x + 20% =120% of x =1.2xThe sequence is the GP with common ratio of 1.2:
60, 72, 72*1.2= 86.4 , 72*1.2² = 103.68 , 72*1.2³ = 124.416One Hundred pecent is the same as 1.? true or false
Answers
Hope this helps
Have a great day/night
HELP I WILL GIVE BRAINLESS
Answers
Answer
6 months / the $30 ($5 per month) will be cheaper
Answer:
1) Six months
2) The second plan ($30 sign up fee, $5 per month)
Step-by-step explanation:
1) Six months
We can write an equation such as 30 + 5m = x, where m = months and x = total cost after a certain amount of months. If we know that the first plan costs $12 a month, we can find the LCM of 12 and 30 + 5m, which is 60. If we plug in 60 as m in the equation I showed, we'll get this:
30 + 5m = 60
Solve for x = 6.
2) The second plan
Write the first plan as an equation 12m = x, where m is months and x is the total cost after a certain amount of months. If we plug in 12 for m (since there's 12 months in a year), we'll get 12(12) = x, where x is equal to $144 after a year.
Write the second plan as an equation 30 + 5m = x, where m is months and x is the total cost after m months. Plug in 12 again so our equation looks like
30 + 5(12) = x. Solve for x and get $90 after a year.
Solve the formula C = d for d.
Answers
x + 5 = 17
×=____ help
Answers
Answer:
The answer is X=-2
Step-by-step explanation:
Subtract 5 from both sides
The five cancels itself out on the left side
X+5=17
-5 -5
x = -12
Answer:
12
Step-by-step explanation:
Move all terms not containing x to the right side of the equation. Hope this helped! :)
There are 42 girls and 56 boys who want to play a game. Each team will have both boys and girls on it. The ratio of boy to girls has to be the same for each team. Everyone must participate in the game. What is the greatest number of teams that can be formed?
Answers
Answer:
7 teams with 6 girls and 8 boys on each team
Step-by-step explanation:
Both 42 (girls) and 56 (boys) are divisible by 7 (getting 6 and 8).
Therefore, there would be 6 girls and 8 boys on each team.
The ratio would be 6 girls:8 boys per team.
Check:
6•7=42 ––(6 girls amongst 7 teams = 42 girls total)
8•7=56 ––(8 boys amongst 7 teams = 56 boys total)
Billy Bob bench presses 200 lbs. He wants to bench more than 300 lbs. If he improves by 20 lbs a month how long will it take him to bench over 300 lbs.
Write your answer like x>3 make sure you use the right sign.
WILL GIVE BRAINLIEST
Answers
it will take him 5 months
Find how much more he wants to bench:
300-200 = 100
He needs to increase by at least 100 pounds.
So 20 pounds per month has to be greater than 100 pounds.
20x > 100
Divide both sides by 20:
X > 5 months
Please answer asap, Due at 11:59!! ( giving brainliest )
Select the equation and solution for the problem. Let x represent the unknown number.
A total of 15 people on a sports team are riding in 3 vans. How many people are riding in each van if each van is carrying the same number of people?
Answers
Answer:
C
Step-by-step explanation:
So your total is 15. There are 3 vans, and we want to know how many are on each van.
3 (number of people on each van)=15
Number of people are unknown
3x=15
Divide both sides by 3 to solve for x
x=5