Triangle CAT is an isosceles triangle with base angles C and T each represent by (3x + 11) degrees, while angle A is represented by (9x + 8) degrees. Find the measure of angle C.
Answer:
Angle C = 41°
Step-by-step explanation:
Given:
Angle C = (3x + 11) degree
Angle T = (3x + 11) degree
Angle A = (9x + 8) degree
Find:
Angle C
Computation:
Using angle sum property
(3x + 11) + (3x + 11) + (9x + 8) = 180
15x + 30 = 180
x = 10
So,
Angle C = (3x + 11) degree
Angle C = 3(10) + 11
Angle C = 41°
The image below shows two dilated figures with lines AB and A'B' drawn. If the larger figure was dilated using a scale factor of 3, what relationship do lines AB and A'B' have? (10 points)
Answer:
They have the same side lengths/angles except one is smaller than the other
Step-by-step explanation:
the smaller one is a "mini" of the larger one. a exact copy
The dilation is solved and the scale factor of line is A'B' = 3AB
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.
Given data ,
Let the scale factor of the dilation be represented as k
Now , the scale factor k = 3
So , the ratio of the corresponding sides is given by
A'B' / AB = 3
Multiply by AB on both sides , we get
A'B' = 3AB
Hence , the dilation is simplified as A'B' = 3AB
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An above ground pool with 17,100 gallons of water was draining. If the pool drained at a rate of 1,800 gallons per hour, how many hours has it
been draining if there was 6,300 gallons left?
Answer:
6 Hours
Step-by-step explanation:
17,100 - 6,300= 10,800
10,800/1,800 = 6
Which expression is a factor of 21 x2 + 13 x-20
Answer:
(7x−5)(3x+4)
Step-by-step explanation:
I think this is the answer
Answer:
(7x−5)(3x+4)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant -21 • 20 = -420
Step-2 : Find two factors of -420 whose sum equals the coefficient of the middle term, which is 13 .
-420 + 1 = -419
-210 + 2 = -208
-140 + 3 = -137
-105 + 4 = -101
-84 + 5 = -79
-70 + 6 = -64
-60 + 7 = -53
-42 + 10 = -32
-35 + 12 = -23
-30 + 14 = -16
-28 + 15 = -13
-21 + 20 = -1
-20 + 21 = 1
-15 + 28 = 13 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 28
-21x2 - 15x + 28x + 20
Step-4 : Add up the first 2 terms, pulling out like factors :
-3x • (7x+5)
Add up the last 2 terms, pulling out common factors :
4 • (7x+5)
Step-5 : Add up the four terms of step 4 :
(-3x+4) • (7x+5)
thanks guys i only got one question wrong
Answer:
Let me help you next time! congrats tho
Answer:
on what field of math?
Step-by-step explanation:
Congrats! Was it a big assignment?
jenny is five years older than chris little can be extracted from this. however we fud that a decade ago her age was twice his, therefore all we know is that get through this door a number made with digits four multaply jens age by ten to the two to finish it you must add chris's digits to the end of the number
answer:
2015
hope this helpsss
Francis records the price of a washer-and-dryer pair each week for 5 weeks. The table shows his data.
1
3
4
5
Week
Price $740.79 752 49 $675.49 $580.99 $694.99
What is the rate of change in the price of the washer-and-dryer pair between Week 1 and Week 57
$11.45
week
59. 16/week
0 59. 16/week
$11.45
week
Answer:
The answer is A. -11.45
Step-by-step explanation:
By using expression for the rate of change in prices between week 1 and week 5 will be -$11.45.
Rate of change is given by the expression,
Rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]
= [tex]\frac{\text{Change in price}}{\text{Change in weeks}}[/tex]
By using the given expression, rate of change of prices between week 1 and week 5 will be,
Rate of change = [tex]\frac{694.99-740.79}{5-1}[/tex]
= [tex]-\frac{45.8}{4}[/tex]
= [tex]-11.45[/tex]
Therefore, rate of change in the price of washer and dryer pair between week 1 and week 5 will be -$11.45 per week.
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Does anyone have any drink recommendations for Starbucks???
Answer this math problem tho
Me and a friend go to Starbucks I order a venti caramel frap and my friend orders the same. Both of our drinks plus 4 cake pops cost $17.75. I have $40 in cash how much do I have left after our order has been paid for???
Answer:
hmm try pumpkin spice fraptinao *sry ik i spelled it wrong
Step-by-step explanation:
Hahahahaha umm I need help thankKss
Answer:
1
Step-by-step explanation:
can you please help me
Answer:
D
Step-by-step explanation:
the dilalation from triangle ART to triangle EFG is 2 1/5:
12/5
2 1/5
use the scale factor to find m
8 * 2 1/5
19 2/10
side GF is equal to side EG so m p 19 2/10
Answer:
finally :)
Step-by-step explanation:
have a great day
i need this ASAP!!!!
Simplify. (23)2
Enter your answer, in simplest form, in the boxes.
$$
Answer:
23/2 is already in the simplest form. It can be written as 11.5 in decimal form
Step-by-step explanation:
23 2 = 22 2 + 1 2 = 11 + 1 2 = 11 1 2
This fraction cannot be simplified any further because there is no common divisor for 1 and 2 other than 1
The simplified expression of (23)2 is 46
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
(23)2
Express as products
So, we have
(23)2 = (23) * 2
Evaluate the products of 23 and 2
(23)2 = 46
Hence, the solution is 46
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cqn someone help me Graph y = -3.2 + 7.
Answer: math is 10.2
Assuming no denominator equals zero, which expression is equivalent to the given expression?
r-5/9r/5-r/3r^2
A.
-3/r
B.
r/3
C.
-r/3
D.
r-5/5-3r
Answer: C. -r/3
Step-by-step explanation: I got a 100% with that as my answer. I hope it helps.
BRAINLIEST IF YOU HELP
Evaluate this expression: (6.4 × 10^3) ÷ (3.2 × 10^2)
Express your answer in scientific notation.
A. 2 × 10^1
B. 2 × 10^2
C. 2 × 10^5
D. 2 × 10^6
Mikayla withdraws $20 on 4 different days during a week. Find the total change in her account balance after the withdrawals.
The total change in her account balance after the withdrawals is
Answer:
$80
Step-by-step explanation:
20 on 4 days. 20*4 or 80.
Hope this helps plz hit the crown :D
Please help..
Solve for x and y rounded to the nearest hundredth.
x = 5.33 and y = 4.67
x = 4.67 and y = 5.33
x = 10.5 and y = 12
x = 3.42 and y = 3
Step-by-step explanation:
A is answer
An unusually wet spring has caused the size of a mosquito population in some city to increase by 8% each day. If an estimated 180,000 mosquitoes are in the city on May , find how many mosquitoes will inhabit the city on May . Use y= 180,000 where x is number of days since May .
Answer:
The number of mosquitoes that will inhabit the city on May 25 is 4,471,200.
Step-by-step explanation:
Note: This question is not complete as some important figures and points are omitted. The complete question is therefore provided before answering the question as follows:
An unusually wet spring has caused the size of a mosquito population in some city to increase by 8% each day. If an estimated 180,000 mosquitoes are in the city on May 12, find how many mosquitoes will inhabit the city on May 25. Use y= 180,000(1.08)x where x is number of days since May 2.
The explanation to the answer is now given as follows:
Given;
y = 180,000(1.08)x = 180,000 * 1.08 * x .................... (1)
Where;
y = Number of mosquitoes that will inhabit the city on May 25 = ?
x = Number of days since May 2 = 25 - 2 = 23
Substituting for x = 23 into equation (1), we have:
y = 180,000 * 1.08 * 23
y = 4,471,200
Therefore, the number of mosquitoes that will inhabit the city on May 25 is 4,471,200.
Brenda’s brother earns $12 per hour at a store. The store offers him a 5% raise per hour. After the raise, how much will Brenda’s brother earn?
Answer:
12 * 0.05 = 0.6
He will make $12.06 per hour
At a fruit stand there are 12 strawberries, 30 blueberries, 16 apples , and 14 bananas. Which ratio expresses strawberries to all fruit.
1. If m=1/2 and b=-4, what is the equation of the line?
Answer:
y=1/2x-4
Step-by-step explanation:
helpppppp for brainliest
Answer:
508 sheets /4 shelters = 127 sheets per shelter.
A company has recently been hiring new employees. Today the company has 33% more employees than it did a year ago. If there are currently
53,200 employees, how many employees did the company have a year ago?
Answer:
Sorry , I might be wrong : 35664
Step-by-step explanation:
So, first, we can find 33% of 53,200
That is 17,556
Then, we can subtract 17556 from 53,200
We get 35664
how many solutions does the following system have?
7x+5y=4; -21x-15y=-12
a)infinitely many solutions
b)one solution
c)two solutions
d)no solutions
Answer:
Step-by-step explanation:
we can observe that the second equation is the product of the first equation and -3
there will be infinitely many solutions
Bob and Nina make dog leashes. Bob can make 7 leashes in 2 hours and Nina can make 4 leashes in 1 hour.
Enter an equation that can be used to find the number of hours, t, it takes Bob and Nina to make 60 leashes together. Enter your response in the first response box.
Enter the number of hours, t, it takes Bob and Nina to make 60 leashes together. Enter your response in the second response box.
Answer:
8 hours
Step-by-step explanation:
!:!
Is the relationship a function yes or no?
Answer:
no because 3x nothing equals 14 and 4x nothing equals 18
hope this helps plz mark brainliest
Step-by-step explanation:
Vivienne has 5 pets, all of which are either birds or cats. Her pets have a total of 14 legs. Choose the system of equations that can be solved to find the number of birds that Vivienne owns, b, and the number of cats that Vivienne owns, e.
Answer:
the system of equations is
b + e = 5
2b + 4e = 14
and the solved system gets you to the conclusion that vivienne has 3 birds and 2 cats
Step-by-step explanation:
b is the amount of birds and e is the amount of cats so adding them together would give you 5, the total amount of pets. so this is the first equation:
b + e = 5
next, we know that birds have two legs and cats have 4, so those respective numbers times the amount of each animal will give you 14, the amount of legs. so the equation would be:
2b + 4e = 14
so the system of equations would be
b + e = 5
2b + 4e = 14
i wasnt sure if you also needed to solve it but here it is solved
b = 5 - e
2(5 - e) + 4e = 14
10 - 2e + 4e = 14
10 + 2e = 14
2e = 4
e = 2
so using subsitution you would get b by using the value of e in the first equation.
b = 5 - e
b = 5 - 2
b = 3
so vivienne has 3 birds and 2 cats.
The required number of birds and cats Vivienne have is 3 and 2 respectively.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Vivienne has 5 pets, all of which are either birds or cats.
Let the number of birds be x, and the number of cats be y,
x + y = 5, - - - - -(1)
Now, Her pets have a total of 14 legs. Since a bird has 2 legs and a cat has 4 lags
According to the question,
2x + 4y = 14 - - - - -(2)
Solving equations 1 and 2,
2x + 4 (5 -x) = 14
2x + 20 - 4x = 14
2x = 6
x = 3
Now,
3 + y = 5
y = 2
Thus, the required number of birds and cats Vivienne have is 3 and 2 respectively.
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Put some coordinates on a graph and work it out pls worth 10pts
Answer: (-1,1)(1,1)(-2,-1)(2,-1)
Step-by-step explanation:
2. The measure of an angle is 114°. What is the measure of
its supplement?
Answer:
66
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf 66\°}[/tex]
Step-by-step explanation:
Supplementary angles add up to 180°.
So,
The measure of the angle of supplement of 114° is:
=> 180° - 114° = 66°
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Jamie deposits $627 into a savings account. The account has an interest rate of 3.5%, compounded quarterly
Answer:
is this all the question? Im sorry I don't see the rest
Step-by-step explanation:
please answer this question. The price of a computer was reduced from $400 to $300. By what percentage was the price of the computer reduced?
Answer:it was reduced by 25%
Source: trust me bro