Based only on the information given in the diagram, it is guaranteed that
AJKL ~ AWXY.
27°
A
63"
A. True
B. False
Answers
Answer:
True
Step-by-step explanation:
Given
In JKL, we have:
[tex]\angle J = 27[/tex]
[tex]\angle K = 90[/tex]
In WXY, we have:
[tex]\angle Y = 63[/tex]
[tex]\angle X = 90[/tex]
Required
Is JKL ~ WXY?
In both triangles, we already have one similar angle (90)
Next, is to determine the third angles in both triangles.
In JKL
[tex]\angle J + \angle K + \angle L = 180[/tex]
We have that:
[tex]\angle J = 27[/tex] and [tex]\angle K = 90[/tex]
The expression becomes:
[tex]27 + 90 + \angle L = 180[/tex]
[tex]117 + \angle L = 180[/tex]
[tex]\angle L = 180-117[/tex]
[tex]\angle L = 63[/tex]
In WXY
[tex]\angle W + \angle X + \angle Y = 180[/tex]
We have that:
[tex]\angle Y = 63[/tex] and [tex]\angle X = 90[/tex]
The expression becomes:
[tex]\angle W + 63 + 90 = 180[/tex]
[tex]\angle W + 153 = 180[/tex]
[tex]\angle W = 180-153[/tex]
[tex]\angle W = 27[/tex]
The three angles in JKL are:
[tex]\angle J = 27[/tex] [tex]\angle K = 90[/tex] [tex]\angle L = 63[/tex]
The three angles in WXY are:
[tex]\angle W = 27[/tex] [tex]\angle X = 90[/tex] [tex]\angle Y = 63[/tex]
By comparing the angles, we can conclude that both triangles are similar because of AAA postulate (Angle-Angle-Angle)
Related Questions
what is the coordinates of the point where y-4x=1 crosses the y-axis
Answers
Answer:
(0, 1)
Step-by-step explanation:
you have to put the equation in the slope point form
y=mx+b and here b is the y-intercept (where it crosses the y axis)
y-4x=1 add 4x to both sides
y=4x+1 so the coordinats are (x=0, y=1)
What do you divide by 90 to get 30?
Answers
Answer:
3
Step-by-step explanation:
3 times 30 = 90 then divide 90 and 30 you get 3
Which statements describe one of the transformations performed on f(x) =x^2 to create g(x)=2x^2+5?
A: A translation of 5 units to the right
B: A vertical stretch with a scale factor of 1/2
C: A vertical stretch with a scale factor of 2
D: A translation of 5 units up
Answers
Answer:
do u know the answer ik it's five units up but that it
Answer: a vertical stretch with a scale factor of 2. and a translation of 5 units up.
Step-by-step explanation:
14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.
Answers
Answer:
Length [tex]=25[/tex] inches
Width [tex]= 15[/tex] inches
Step-by-step explanation:
Let [tex]l[/tex] = length of rectangle, [tex]w[/tex] = width of rectangle
Given the area and the perimeter of the rectangle, we can write:
[tex]lw = 375[/tex]
[tex]2l+2w=80[/tex]
So:
[tex]l+w = 80\div2[/tex]
[tex]=40[/tex]
[tex]l=40-w[/tex]
Now, we can use substitution to find the value of [tex]w[/tex]:
[tex]lw = 375[/tex]
[tex](40-w)w = 375[/tex]
[tex]40w-w^2 = 375[/tex]
[tex]375+w^2-40w = 0[/tex] (Quadratic equation)
[tex](w-15)(w-25) = 0[/tex]
∴ [tex]w = 15, 25[/tex]
We can use substitution again to find the value of [tex]l[/tex]
[tex]lw = 375[/tex]
[tex]l=375\div w[/tex]
[tex]=25,15[/tex]
∵ Length usually refers to the longer side of a rectangle, ∴ length [tex]=25[/tex] inches and width [tex]=15[/tex] inches.
Hope this helps :)
2 L = _____ ml can someone help? :((
Answers
Answer:
2000
Step-by-step explanation:
Answer:
2000 ml
Step-by-step explanation:
Which equation should you solve to find x?
Answers
Cosine= adjacent / hypotenuse
HEYYYYYYYYYYYY ONCE AGAIN THIS IS ONLY 3 OF 30 PlS HELPPP
Answers
Answer:
the 3rd one im pretty sure
Step-by-step explanation:
Answer:
the 3rd one <3
Step-by-step explanation:
if f = 3, g = -4 and h = -5
[3-h]+13
Answers
Which of the following is equivalent to 75/100? A 2/3 B 10/15 C 25/50 D 15/20
Answers
Answer:
D. 15/20
Step-by-step explanation: Because if it is 100 divide by 5 then it equals 20 and since 75% is 3/4 then 15/20 is your answer.
Answer:
D 15/20
Step-by-step explanation:
Estimate 32% of 19.
Answers
Answer: 6.08.
Explanation: 32% × 19 = 6.08.
If 47 divided by a power of 10 to get 0.047 what power of 10 was it divided by
Answers
Answer:
0.01
Step-by-step explanation:
cause 47 x 0.01 + 0.047
The power of 10 that you would dived it by would be 1,000.
Because here we have 3 option 10, 100, and 1,000. So what we would do is divide each one to that main number "47"
47 ÷ 10 = 4.747 ÷ 100 = 0.4747 ÷ 1,000 = 0.047Learn more at https://brainly.com/
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Felipe sold t-shirts and hats at a festival. He made a $5 profit for each t-shirt he sold. He also made a profit of $40 from selling hats. If he made a total profit
$125, how many t-shirts did he sell?
Answers
Answer:
He sold 17 shirts at the festival.
The total number of t-shirts Felipe sold is 17 t-shirts.
Consider that the number of t-shirts Felipe sold be "x".
Since He made a profit of $5 for each t-shirt sold. Therefore, his profit from selling t-shirts is 5x. also made a profit of $40 from selling hats.
His total profit is given as $125.
So we can write the following equation:
5x + 40 = 125
Subtracting 40 from both sides;
5x = 85
Dividing both sides by 5, we get:
x = 17
Therefore, Felipe sold 17 t-shirts.
Learn more about equations here;
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Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow.
Answers
Answer:
Step-by-step explanation:
Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow. Cash receipts Cash payments July $ 24,600 28,900 August $32,600 30,600 September $ 40,600 32,600 Prepare a cash budget for July, August, and September. (Negative balances and Loan repayment amounts (if any) should be indicated with minus sign. Round your final answers to the nearest whole dollar.) KARIM CORP. Cash Budget For July, August, and September July August $ 9,000 September Beginning cash balance Total cash available Preliminary cash balance Ending cash balance Loan balance $ 0 Loan balance - Beginning of month Additional loan (loan repayment) Loan balance - End of month
Which statement can you conclude is true from the given information?
Answers
Answer:
angle IJA is a right angle
35 points plz help
Evaluate −4(14)6x for x=13.
Enter your answer as a fraction in simplest form in the box.
Answers
Answer:
-15228
Step-by-step explanation:
Given the expression :
-4(14)6x for X = 13
To evaluate ; simply substitute 13 for X in the equation :
-14(14)6(13)
-14 * 14 * 6 * 13 = - 15228
1. Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save. Use x for the variable and do not have any spaces.
2. Jovie earns $8.25 for the hours that she is at work. This week she earned $288.75. Write an equation to solve how many hours she worked. Use x for the variable and do not have any spaces. Pls help :(
Answers
Answer:
Chicken nugget
Step-by-step explanation:
Car X travels 186 miles and 3 hours right the equation of the line that describes the relationship between distance and time
Answers
Answer:
Y=62x
Step-by-step explanation:
The equation of the line that describes the relationship between distance and time is (y = 62x) and this can be determined by using the definition of speed.
Given :
Car X travels 186 miles and 3 hours.
The following steps can be used to determine the equation of the line that describes the relationship between distance and time:
Step 1 - Let the total distance covered by car X be 'y' and the total time taken by car to cover that distance be 'x'.
Step 2 - The speed is given by the ratio of distance to time.
[tex]\rm Speed = \dfrac{Distance }{Time}[/tex]
Step 3 - Now, put the value of distance and time in the above equation.
[tex]\rm Speed = \dfrac{y}{x}[/tex] ---- (1)
Step 4 - According to the given data the speed is given by:
[tex]\rm Speed = \dfrac{186}{3} = 62\; miles/hour[/tex]
Step 5 - Now, put the value of speed in equation (1).
[tex]\dfrac{y}{x}= 62[/tex]
y = 62x
The equation of the line that describes the relationship between distance and time is (y = 62x).
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https://brainly.com/question/23774048
If Tim has 2/3 pizza to share with 6 friends how much does he friend get
Answers
Answer:
Each friend gets 1/9th of the pizza.
Step-by-step explanation:
Assuming Tim does not have any pizza, you would multiply 2/3 by 3 to get 6/9. 6/9 divided by 6 is 1/9.
If P(A or B) = 0.8, P(A) = 0.3, and P(A and B)= 0.15, find P(B).
P(B) =
(Simplify your answer. Type an integer or a decimal.)
Answers
9514 1404 393
Answer:
P(B) = 0.65
Step-by-step explanation:
The appropriate formula is ...
P(A or B) = P(A) +P(B) -P(A and B)
Then P(B) is ...
P(B) = P(A or B) +P(A and B) -P(A)
P(B) = 0.8 +0.15 -0.3
P(B) = 0.65
A physicist examines 23 sedimentary samples for mercury concentration. The mean mercury concentration for the sample data is 0.036 cc/cubic meter with a standard deviation of 0.012. Determine the 80% confidence interval for the population mean mercury concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answers
Answer:
The 80% confidence interval is [tex]0.0328 < \mu < 0.0392[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 23
The sample mean is [tex]\= x = 0.036 \ cc/m^3[/tex]
The standard deviation is [tex]\sigma = 0.012[/tex]
From the question we are told the confidence level is 80% , hence the level of significance is
[tex]\alpha = (100 - 80 ) \%[/tex]
=> [tex]\alpha = 0.20[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.282[/tex]
Generally the margin of error is mathematically represented as
[tex]E = 1.282 * \frac{0.012 }{\sqrt{23} }[/tex]
=> [tex]E = 0.00321 [/tex]
Generally 80% confidence interval is mathematically represented as
[tex]0.036 -0.00321 < \mu < 0.036 + 0.00321[/tex]
=> [tex]0.0328 < \mu < 0.0392[/tex]
Suppose you deposit $2,500 in a savings account that pays you 5% interest per year.
a. How many years will it take for you to double your money?
b. How many years will it take for your account to reach $8,000?
Answers
Answer:A=4 Years B=6 years
Step-by-step explanation:
determine if the 2 triangles are similar or not. if they are similar choose the correct similarity theorem below.
A
B
C
D
Answers
A gas tank holds exactly 13 gallons. If the tank is 2/3 empty, how many gallons remain in the tank? (Round your answer to the nearest tenth)
Group of answer choices-
4.3
5.5
6.5
8.7
Answers
6(x−2)=−18
x=?
Anybody know what X is equal to?
If you know a little bit about this question, thank you for your help.
(If the answer is right, this person will be the smartest.)
Answers
6x-12=-18
now we add the 12 to both sides
6x=-6
then we divide 6
x= -1
Kesha it’s plain to rent a van for a trip to Mt.rainier two of her friends each went to the same type of van from the same car rental company last week
Answers
Answer:
a
Step-by-step explanation:
!!! time sensitive please answer !!!
consider the sequence below. 3, 1, 1/3, 1/9
select the explicit function which defines the sequence
A. f(n) = 1/3 • 2^(n-1)
B. f(n) = 2 • (1/3)^(n-1)
C. f(n) = 3 • (1/3)^(n-1)
D. f(n) = 1/3 • 3^(n-1)
Answers
patricia has 45.82 in her checking account. How much does she have in her account after she makes a deposit of 120.75 and a withdraw of 185.90
Answers
Answer:
-19.43
Step-by-step explanation:
You got to add 120.75 to 45.82 then you subtract it from 185.90
comment if this helps :)
Eight friends go to the movies. The price for each ticket is
$7.99. One person thinks the total for all eight people will
be around $50.00.
Is this a reasonable estimate? Why?
OA. Yes, a reasonable estimate is around 5- $10 = $50.
B. No, a reasonable estimate is around 5 $8 = $40.
C. No, a reasonable estimate is around 8 $8 = $64.
OD. No, a reasonable estimate is around 8-$9 = $72.
Answers
Answer:The answer is C....
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is the missing numbers to this equation please
? - (? × ?)=90
Answers
Answer:
-0(10 x 9)=90
Solve the system using substitution.
y - 3x = 1
2y - x = 12
([?], [])
Answers
Answer:
(2, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y - 3x = 1
2y - x = 12
Step 2: Rewrite Systems
y - 3x = 1
Add 3x on both sides: y = 3x + 1Step 3: Redefine Systems
y = 3x + 1
2y - x = 12
Step 4: Solve for x
Substitution
Substitute in y: 2(3x + 1) - x = 12Distribute 2: 6x + 2 - x = 12Combine like terms: 5x + 2 = 12Isolate x term: 5x = 10Isolate x: x = 2Step 5: Solve for y
Define equation: 2y - x = 12Substitute in x: 2y - 2 = 12Isolate y term: 2y = 10Isolate y: y = 5