Answers
Answer:
x = 4, y = 8
Step-by-step explanation:
If the triangles are congruent by the HL Theorem, it means that the hypotenuse and one leg of the right triangle are congruent to the corresponding one leg and hypotenuse of the other.
Thus;
2x - 5 = y - 5 (Eqn 1) and
y - 3 = x + 1 (Eqn 2)
Thus:
Rewrite equation 1
2x = y - 5 + 5
2x = y
Substitute y = 2x in equation 2.
y - 3 = x + 1 (Eqn 2)
2x - 3 = x + 1
Collect like terms
2x - x = 3 + 1
x = 4
Substitute x = 4 in equation 1
2x - 5 = y - 5 (eqn 1)
2(4) - 5 = y - 5
8 - 5 = y - 5
3 = y - 5
3 + 5 = y
8 = y
y = 8
Related Questions
Quita bought a jacket priced at $90. The sales tax rate on the jac
was 7%.
How much was the sales tax in dollars and cents on this jacket
Answers
Answer:
Sales tax= $6.30
Jacket= $0.9630
Step-by-step explanation:
Jacket price= $90
Sales tax= 7%
Sales tax in dollars
=7/100×90
=$6.30
Jacket in cents
=$90+$6.30
=$96.30 ÷100
=$0.9630
-3x + 2 ≤ 14= ? [tex]-3x +2 \leq 14[/tex]
Answers
Answer: x>=-4
Step-by-step explanation:
-3x+2<=14
subtract 2 from both sides,
-3x<=12
Divide by -3, because you are dividing by a negative, the sign gets flipped
X>=-4
ILL GIVE BRAINLIEST PLZZ I NEED THIS
Answers
Answer:
Q1
[tex]by \ pythagoras \ theorem : \\(3x +1 )^2 = (3x - 1)^2 +x^2\\\\9x^2 + 6x +1 = 9x^2 + 1 -6x +x^2\\\\9x^2 + 6x +1 = 10x^2 + 1 -6x \\\\ 10x^2 + 1 -6x - 9x^2 -6x -1 = 0 \\\\x^2 -12x = 0\\x(x - 12) = 0\\x = 0, 12\\since \ length \ cannot \be \ 0, x = 12\\OJ = 3x + 1 = 3(12) +1 = 37[/tex]
Q2
[tex]by \ pythagoras \ thm, \\(7x -12) ^2 = (5x +10)^2 +(2x)^2\\\\49x^ 2 +144 - 168x = 25x^2 +100+ 100x +2x^2\\\\49x^ 2 +144 - 168x - 25x^2 -100- 100x -2x^2 = 0\\\\22x^2 -268x -44 = 0\\11x^2 - 134x - 22 = 0\\x=12.0154[/tex]
A property that offers a 7.5 percent return on the listing price has a monthly net of $810.
The property is listed at
Answers
Answer:
$129,600
Step-by-step explanation:
Given that
The return percentage is 7.5%
And, the monthly net is $810
We need to find the property listed price
Since we assume that the return percentage is on annual basis
So, for monthly, it is
= 7.5% ÷ 12
= 0.625%
Now the property listed price is
= $810 ÷ 0.625%
= $129,600
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4,9,14,...
Answers
Answer:
It is an arithmetic sequence and the common difference is 5
Step-by-step explanation:
4+5 = 9; 9+5=14 (adding is arithmetic, multiplying is geometric)
In a Geometric Sequence, there is a common number multiplied or divided from each term to get the next
4, 9, 14
(4+5) = 9
(9+5) = 14
So sequence is arithmetic and the common difference is 5
Select the correct solution in each column of the table
Answers
Answer:
2,1,3
Step-by-step explanation:
find the perimeter of each polygon. Assume that lines which appeared to be tangent are tangent.
Answers
9514 1404 393
Answer:
A) 54.4
Step-by-step explanation:
The perimeter of a circumscribing quadrilateral is twice the sum of the lengths of opposite sides.
P = 2(17.6 +(2.9 +6.7)) = 2(27.2)
P = 54.4
Answer:
perimeter of each polygon
Solve for X
A.45
B.35
C.25
D.30
Answers
90+60=150
180-150=30
• 3.3
• 5.0
• 6.7
• 8.4
• 10.1
Which one is it?
Answers
Answer: 5.0
Step-by-step explanation:
In triangle JKL, the length of side JK is 12 feet, and the length of side KL is 15 feet. Which of the following could be the length of side JL?
A.
27 feet
B.
30 feet
C.
3 feet
D.
4 feet
Answers
Answer:
D
Step-by-step explanation:
every 2 sides of a triangle has to be bigger than the 3rd side
Image below! PLEASE HELP! THIS IS DUE!
Answers
Answer:
270 if not simplified and
1/1 if simlifies
Step-by-step explanation:
help asap pls need help by 1230 pt thanks
Answers
Answer:
acute, isosceles
Step-by-step explanation:
Acute: all angles are less than 90°
Isosceles: 2 sides are the same length, the other is not
Have a great day! :D
Which function is represented by the graph ?!
Answers
What is the expected value for the binomial
distribution below?
1/3125
4/625
32/625
128/625
256/625
1024/3125
Answers
999.224
Step-by-step explanation:
Expected value = Summation of (x•px)
px is addressed as pdf (probability distribution function)
x px. x•px
1. 1/3125. 1/3125
20. 4/625. 16/125
160. 32/625. 1024/125
640. 128/625. 16384/125
1280. 256/625 65536/125
1024. 1024/3125. 335.544
total:. 1. 999.224
taking my pdf as x/3125
The expected value of the binomial distribution is 4
How to determine the expected value?The expected value of a binomial distribution is calculated using:
[tex]E(x) = \sum x * P(x)[/tex]
Using the table of values, we have:
[tex]E(x) = 0 * 1/3125 + 1 * 4/625 + 2 * 32/625 + 3 * 128/625 + 4 * 256/625 + 5 * 1024/3125[/tex]
Evaluate the expression
E(x) = 4
Hence, the expected value of the binomial distribution is 4
Read more about expected value at:
https://brainly.com/question/15858152
#SPJ6
The angles in this diagram are complementary. What is the value of x?
(4x)
(2x + 6)
Answers
Answer:
2(4)+6(4)
Step-by-step explanation:
Distribute
(4)(2+6)
(4x)(2x+6)2(4)+6(4)
2x(4x)+6(4x)
Solution
2(4)+6(4)
Please give brainliest :)
Please what’s the answer will give brainliest
Answers
Answer:
8.66 cm
Step-by-step explanation:
From the diagram :
The vase of the triangle = 9.9cm - 4.9 cm = 5cm
Hence, using Pythagoras rule :
Opposite = √hypotenus² - Adjacent²
Opposite = √10²-5²
Opposite = √100 -25
Opposite= √75
= 8.66 cm
A fair die is cast four times. Calculate
the probability of obtaining exactly two
6's.
Round to the nearest tenth of a
percent.
[ ? ]%
Answers
Step-by-step explanation:
You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)Grade 5 math. ! 30 points !
During the month of june, jessica volunteers at a library every 6 days and at a veterinarians office every 10 days. jessica’s first visit to the library was on June 6 and her first visit to the veterinarian office was on June 1th.
What day in June will jessica volunteer at both locations?
Anwser Options
june 6
june 10
june 18
june 20
june 24
june 30
Answers
The day in June, Jessica volunteered at both locations if she volunteers at the library every 6 days and at a veterinarian's office every 10 days is June 30, so option F is correct.
What is LCM?The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.
For instance: The LCM of 2 and 3 is 6.
Given:
Jessica volunteers library every 6 days,
Jessica's veterinarian's office, every 10 days,
So for her visit to both, the place takes the LCM of 6 and 10,
LCM of 6 and 10 = 30,
Hence, on the 30th day, she visits both places so if she starts volunteering from the 1st of June then she will visit both places on the 30th of June.
Therefore, The day in June, Jessica volunteered at both the location if she volunteers at a library every 6 days and at a veterinarian's office every 10 days. Jessica’s first visit to the library was on June 6 and her first visit to the veterinarian's office was on June, 1st is June 30.
To know more about LCM:
https://brainly.com/question/20739723
#SPJ2
Answer:June 30th
Step-by-step explanation:
So Jessica volunteers every 6 days and 10 days at different places.From June 6th and June 1st you see which one is good for both of them and then June 30th is the answer.
P9-17 Comparing Investment Criteria [LO1, 2, 3, 5, 7] Consider the following two mutually exclusive projects: Year Cash Flow (A) Cash Flow (B) 0 –$221,117 –$16,136 1 27,200 5,520 2 60,000 8,304 3 60,000 13,962 4 425,000 9,960 Whichever project you choose, if any, you require a 6 percent return on your investment. a. What is the payback period for Project A?
Answers
Answer:
3.17 YEARS
Step-by-step explanation:
Payback calculates the amount of time it takes to recover the amount invested in a project from it cumulative cash flows
Payback period = Amount invested / cash flow
Payback period for option A, Product A
Amount invested = –$221,117
Amount recovered in year 1 = –$221,117 + 27,200 = -193,917
Amount recovered in year 2 = -193,917 + 60,000 = -133,917
Amount recovered in year 3 = -133,917 + 60,000 = -73,917
Amount recovered in year 4 = -73,917 + 425,000 = 351,083
Payback period = 3 years + (73,917 / 425,000) = 3.17 years
Which measure of variability is the most appropriate for this set of values?
13, 42, 104, 36, 28, 6, 17
A.
range
B.
interquartile range
C.
mean absolute deviation
D.
absolute deviation
E.
either interquartile range or mean absolute deviation
Answers
Answer:
The answer is 100% NOT absolute deviation,
My first guess was range but their is a chance it's wrong.
Answer:
B.interquartile range
Step-by-step explanation:
Got correct on eedmentum...
(-14, 3), (20, -11) slope
Answers
Answer:
= -7/ 17
Step-by-step explanation:
To find the slope when given two points
m= ( y2-y1)/(x2-x1)
= ( -11-3)/(20- -14)
= (-11-3)/(20+14)
= -14/34
Divide top and bottom by 2 to simplify
= -7/ 17
Answer:
-7/17
Step-by-step explanation:
Plug these points into the equation y2-y1/x2-x1. In this case, the y2 value is -11 and the y1 value is 3. In this case, the x2 value is 20 and the x1 value is -14. Therefore, the equation is -11-3/20--14. This is equal to -14/20+14 which is equal to -14/34. This is equal to -7/17. Therefore, the slope is -7/17
If this helps please mark as brainliest
The half-life of caffeine in a person's bloodstream is about 6 hours. If a person's bloodstream contains 70 milligrams of caffeine,how much of that caffeine will remain after 15 hours ?
Answers
Answer:
12.4 mg
Step-by-step explanation:
a = p(1/2)^(t/h)
p is the initial quantity = 70
t is the time = 15
h is the half life = 6
plug in the givens
a = 70(1/2)^(15/6)
a = 12.3743686708
12.4 mg
Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.
Answers
Answer:
10
Step-by-step explanation:
Standard form for a circle is
(x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius
--------------------------------
x² + y² - 18x + 24y = -200
Rearrange
(x² - 18x) + (y² + 24y) = -200
Complete the square for x
(x - 9)² + (y² + 24y) = -200 + (-9)²
Complete the sqaure for y
(x - 9)² + (y + 12)² = -200 + (-9)² + 12²
(x - 9)² + (y + 12)² = 25
Now the equation is in standard form
r² = 25
r = 5
Therefor Diameter = 10
An equation of the line through the points (-2.5) and (3, -4) is:
Answers
HELP PLEASE IT EASY!
+ no files please!!
Answers
Answer:
GIVEN :-
Ordered pairs given are :-
(2 , -1)(-5 , 3)(4 , 3)(-2 , -3.5)(0.5 , 1.75)TO FIND :-
Correct quadrant for each ordered pair.FACTS TO KNOW BEFORE SOLVING :-
While writing the co-ordinates of a point , its ordered pair is always in the form of ( x , y ) where x = x-coordinate of the point & y = y-coordinate of the point.In Quadrant 1 , the coordinates of a point is always = ( +x , +y ) because Quadrant 1 lies between the positive side of x-axis & positive side of y-axis.In Quadrant 2 , the coordinates of a point is always = ( -x , +y ) because Quadrant 2 lies between the negative side of x-axis & positive side of y-axis.In Quadrant 3 , the coordinates of a point is always = ( -x , -y ) because Quadrant 3 lies between the negative side of x-axis & negative side of y-axis.In Quadrant 4 , the coordinates of a points is always = ( +x , -y ) because Quadrant 4 lies between the positive side of x-axis & negative side of y-axis.SOLUTION :-
(2 , -1) is in Quadrant 4 because it's x-coordinate is positive whereas its y-coordinate is negative.(-5 , 3) is in Quadrant 2 because its x-coordinate is negative but y-coordinate is positive.(4 , 3) is in Quadrant 1 because both its x-coordinates & y-coordinates are positive.(-2 , -3.5) is in Quadrant 3 because both its x-coordinates & y-coordinates are negative.(0.5 , 1.75) is in Quadrant 1 because both its x-coordinates & y-coordinates are positive.HELP WILL MARK BRAINLIEST
Answers
Answer:
Runner A
Step-by-step explanation:
most consistent pace dots are close together and don't have any outliers like b and c do
There are 24 students in a class. 8 of the students are boys. Write th amount of the boys in the class as a fraction in its simplest form.
Answers
Step-by-step explanation:
the number of students =24
number of boys =8
to have in fraction
8/24 = 1/3
4( − 5 ) – 10 = 2 ( + 6 ) and check your answer
Answers
Answer:
- 30 < 12
Step-by-step explanation:
4(- 5) - 10 = 2 (+ 6)
- 20 - 10 = 12
- 30 < 12
What is the measure of angle SQR?
Answers
Answer:
All sides are the same length (congruent) and all interior angles are the same size (congruent). if Sqr refers to square
2 5/6 times 8 as a mixed number.
Answers
Answer:
lets make it an improper fraction:
17/6 x 8/1(consider 8 over 1) = 22 2/3
Simplify first though
17 x 8 divide by 2 = 4
_____
6 divide by 2 = 3 (8 and 6 are divisible by 2)
Your new simplified multiplication:
17 x 4
_____ then you can do your multiplication across.
3