Answers
23) The proof that ΔRSU is congruent to ΔTUS is from; SAS Congruency theorem.
18) The proof that ΔHOW and ΔNEW are congruent is from; SAS congruency theorem.
What are congruent triangles?
23) We are given a rectangle RSTU with diagonal US.
Now, we are told that;
UR is parallel to ST
∠R and ∠T are right angles
We can say that for ΔRSU and ΔTUS, that US is equal to itself in both cases by the reflexive property of congruence.
Now, since ∠R and ∠T are right angles, it means that UR is equal to ST.
Thus for the two triangles;
UR = ST
US = US
∠R = ∠T
There are two corresponding equal sides and one corresponding equal angle and as such, ΔRSU and ΔTUS are congruent by SAS congruency postulate.
18) We are given that;
H O = EN
HW = NW
Now, since HN intersects OE at W, then we can say that;
∠HWO = ∠NWE (Alternate angles)
There are two corresponding equal sides and one corresponding equal angle and as such, ΔHOW and ΔNEW are congruent by SAS congruency postulate.
Read more about Congruent Triangles at; https://brainly.com/question/1675117
Related Questions
Add the fractions and whole numbers
21 13/16 +
5 3/32
Answers
Answer: 16 2/8
21 13/16+5 3/32=?
13/16 3/32 32 divided by 16 = 2 so you need to simplified 32/16 and 3/32= 16 so both 13/16 + 32/16= 48/16 then you need to simplified again to make it even and it will be 3 so you add the three with the wholes it will make 16 so know we simplified and divide the fraction 48/16 so once you divide it equals 8 because 8x2=16 and 8x6=48 so it will be 2/8 so the answer is 16 and 2/8
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Which of the following numbers is the smallest
Answers
The smallest number from the folowing option is A . 0.0082.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
The given numbers are;
0.0082
1/3
0.048
0.36
1/9
thus, The smallest number from the folowing option is A . 0.0082.
Learn more about a number pattern:
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Which of the following is true about the line that passes through the points (-5, 8) and (1,8
Answers
Answer: there is a horizontal line on the bottom side to each point.
Step-by-step explanation: -5 x 8y, 1x 8y so from each position they are on the bottom. negative on the right, positive on the left (x axis)
Brainliest if correct
Answers
Answer:
x = -4
Step-by-step explanation:
Divide both sides of the equation by the same term
24=-6x
Divide the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
HOPE IT HELPS, BE SAFE :3
please help me with this
Answers
Answer:
7
Step-by-step explanation:
We can see that x is equal to 7 and that is we use the exponent of 2 it equals 49 if we divide this by 2 we get 24. 5 and add this by the left over 3.5 gives us 28 and divide this by 2 and we get 14. After this you always need to remember to divide your answer by 2 which gives us 7.
Please help - trig identity
Answers
Answer:
Step-by-step explanation:
[tex]LHS=cosec(x)-cosec(x)cos^{2} (x)\\\\LHS=cosec(x)-cosec(x)(1-sin^{2} (x))\\\\LHS=cosec(x)-cosec(x)+cosec(x)*sin^{2} (x)\\\\LHS=cosec(x)-cosec(x)+cosec(x)\frac{1}{cosec^{2}(x) } \\\\LHS=cosec(x)-cosec(x)+\frac{1}{cosec(x) }\\\\LHS=\frac{cosec^{2}(x)-cosec^{2}(x)+1 }{cosec(x)} \\\\LHS=\frac{1}{cosec(x)} \\\\LHS=sin(x)=RHS[/tex]
Hence,LHS=RHS proved
You enter an online Esports tournament. The entry fee is $17, and the top 3 finishers win money. First place wins $325. Second place wins $276. Third place wins $106. You give yourself an X chance of finishing in the top 3, and if you finish top 3, then you have an equal chance of finishing first, second, or third. What is X such that entering this tournament is a fair gamble for you. A fair gamble is one where the expected value of entering the tournament is $0.
Answers
Using the expected value of a discrete distribution, it is found that X = 0.0673.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
In this problem, we have that the distribution is:
P(X = -17) = 1 - X.
P(X = 325) = X/3.
P(X = 276) = X/3.
P(X = 106) = X/3.
Hence, since the expected value is 0:
[tex]-17(1 - X) + 325\frac{X}{3} + 276\frac{X}{3} + 106\frac{X}{3} = 0[/tex]
[tex]-17 + 17X + 235.67X = 0[/tex]
[tex]252.67X = 17[/tex]
[tex]X = \frac{17}{252.67}[/tex]
[tex]X = 0.0673[/tex]
More can be learned about the expected value of a discrete distribution at https://brainly.com/question/24855677
What is the slope of the line?
Answers
Answer:
The slope of the line is -3
Step-by-step explanation:
I chose the points (-2,3) and (0,-3)
The slope formula: m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-3-3}{0-(-2)}[/tex] ==> [tex]\frac{-3-3}{0+2}[/tex] ==> [tex]\frac{-6}{2}[/tex] = [tex]-3[/tex]
Our final answer is -3.
Hope that helps!
1. Solve the following LPP using a Simplex method: Max Z = 10X1 + 20X2 + 14X3 Subject to 5X1 + 4X2 + 2X3 < 60 X2 < 5 X3 > 10 X1, X2, X3 > 0
Answers
Answer:
878
Step-by-step explanation:
Your parents invest $10,000 in a college fund when you are born. They find a fund that will return 8% per year for 18 years.
When you are 18 you find a school that charges $12,000 tuition per year. Tuition increases at a rate of 11% per year (so the second year will have a tuition of $13,320) , will this money take care of four years of school? How many years of college will this take care of? Explain your answer fully.
Answers
The interest is compounded in the investment and the fees, the 4 years
school fees is however larger than the future value of the investment.
Response:
The money is less required to take care of four years of schoolTwo yearsHow can the future value of the amount invested be found?First part:
The future value, FV, of the investment after 18 years is given as follows;
[tex]FV = \mathbf{PV \cdot (1 + i)^n}[/tex]Where;
PV = The present value = $10,000
i = The interest rate = 8% = 0.08
n = The number of years = 18
Which gives;
[tex]FV = 10,000 \times (1 + 0.08)^{18} \approx \mathbf{39,960.195}[/tex]
The future value of the investment, FV = $39,960.195
The school fees each year is given as follows;
Fees = First year fees·(1 + r)ⁿ
Where;
First year fees = $12,000
r = Increase rate of the school fees = 11% = 0.11
n = The number of years
The school fees for four years is given as follows;
∑Fees = $12,000 + $12,000·(1 + 0.11) + $12,000·(1.011)² + $12,000·(1.011)³
Which gives;
∑Fees = 12,000 + 12,000·(1 + 0.11) + 12,000·(1 + 0.11)² +12,000·(1 + 0.11)³ = 56,516.772
The total tuition fees for four years = $56,516.772
The future value of the investment after 18 years, $39,960.195 is less
than the amount required as school fees for four years, therefore;
The money is less than the amount to take care of four years of schoolSecond part:
The fees for 3 years of school is given as follows;
[tex]\displaystyle \sum \limits_{n = 1 }^3[/tex] = 12,000 + 12,000·(1 + 0.11) + 12,000·(1 + 0.11)² = 40,105.2 > 39,960.195
The fees for 2 years of school is given as follows;
[tex]\displaystyle \sum \limits_{n = 1 }^2[/tex] = 12,000 + 12,000·(1 + 0.11) = 25,320 < 39,960.195
The number of years of college the value of the investment will take care of is therefore;
Two yearsLearn more about future value here:
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can I have help pls
Answers
. A jeweler has 100 necklaces and bracelets to sell at a flea market. Bracelets are selling for $5.75 each, and necklaces are $8.50 each. If the jeweler makes $685.00 after selling all of the items, how many of each type of jewelry did the jeweler sell?
Answers
Answer:
there are total 60 bracelets and 40 necklaces.
Explanation:
let necklaces be x
let bracelets be y
make two equations from the given values:
x + y → 1005.75y + 8.50x → $685solving steps:
x + y → 100
x → 100 - y
using substitution method:
5.75y + 8.5x → 685
5.75y + 8.5(100 - y) → 685
5.75y - 8.5y + 850 → 685
-2.75y → 685 - 850
-2.75y → -165
y → 60
Find x:
x + y → 100
x → 100 - 60
x → 40
Answer:
60 bracelets
40 necklaces
Step-by-step explanation:
Let n = number of necklaces sold
Let b = number of bracelets sold
Given:
Total number of items sold = 100⇒ n + b = 100
Given:
Sale price of bracelet = $5.75Sale price of necklace = $8.50Total sales = $685⇒ 5.75b + 8.5n = 685
Rewrite n + b = 100 to make b the subject, substitute into 5.75b + 8.5n = 685 and solve for n:
⇒ b = 100 - n
⇒ 5.75(100 - n) + 8.5n = 685
⇒ 575 - 5.75n + 8.5n = 685
⇒ 575 + 2.75n = 685
⇒ 2.75n = 110
⇒ n = 40
Substitute found value for n into n + b = 100 and solve for b:
⇒ 40 + b = 100
⇒ b = 60
t is inversely proportional to the square of d , t= 0.2 when d =8 find t when d = 10
Answers
An article reports “attendance dropped 6% this year, to 300.” What was the attendance before the drop?
Answers
Answer:
Approximately 319.15
Step-by-step explanation:
300 ÷ (1 - 6%) = 319.14893617021
What is the length of ONE side in a square if the perimeter is 4x + 25
Answers
Answer:
Hi, you already asked this question, the answer is 6...
Step-by-step explanation:
Matthew can spend up to $75 on supplies for his garden. The flowers will cost $38 and he wants to spend the rest on bags of top soil. Each bag of top soil costs $6.
How many bags of top soil can he buy?
Enter your answer in the box.
bags of top soil
Answers
Answer:
6 r1
Step-by-step explanation:
Brandon has a jar of quarters and dimes with a total value of $9.65. The number of quarters is 7 less than twice the number of dimes. How many quarters and how many dimes does Brandon have?
Answers
Dime: 19
(WORK SHOWN BELOW)
What is 4x – 5 = 16 ? I have to show my work
Answers
4x - 5 = 16
+ 5 + 5
4x = 21
/4 /4
x = 21/4 = 5.25
Hope this helps!
Answer: x = 21/4
First, you want to Add 5 to both sides of the equation:
4x - 5 + 5 = 16 + 5.
Then you want to simplify:
4x = 21.
Divide both sides of the equation by the same term:
4x/4 = 21/4.
Then you want to simplify:
x = 21/4.
The final solution is:
x = 21/4
Exact Form:
x = 21/4
Decimal Form:
x = 5.25
Mixed Number Form:
x = 5 1/4
Step-by-step explanation:
Hope this helps =)
Write the improper fraction as a mixed number or a whole number.
956
125
Answers
Answer:
956= 9/56
125= 1/25
Step-by-step explanation:
A candy bar is created with 28 cubic centimeters of chocolate. If the length is 8 cm and the width is 6 cm, what is the height of the candy bar? Round to the nearest hundredth.
Answers
Answer:
0.58cm
Step-by-step explanation:
l×b×h=volume
Given:
Voume=28cm^3
l=8cm
width or breadth=6cm
h=?
applying the above formula
l×b×h=28cm^3
6×8×h=28cm^3
h=28/48=0.58cm
5 A line passes through the point (-4,-1) and has a slope of 4 Write an equation in point-slope form for this line.
Answers
Answer:
y + 1 = 4(x + 4)
Step-by-step explanation:
When you write an equation in point-slope form, you only need two things: a point and a slope.
Given:
point: (-4, -1)slope (m): 4The standard point-slope equation is
y - y₁ = m(x - x₁)Plug in what you know.
y - (-1) = 4(x - (-4))Simplify.
y + 1 = 4(x + 4)This is your equation.
Hope this helps!
Learn with another example:
https://brainly.com/question/24436844
The linear equation in point-slope form is y + 1= 4(x + 4)
How to determine the equation of the lineA linear equation is calculated using the following equation:
y - y1= m(x - x1)
From the question, we have:
Slope (m) = 4
(x1,y1) = (-4,-1)
So, the equation becomes
y + 1= 4(x + 4)
Hence, the linear equation in point-slope form is y + 1= 4(x + 4)
Read more about linear equations at:
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The value of q is:
A. 42.
B. 39.
C. 40.
Answers
Answer:
40
Step-by-step explanation:
Its pretty easy i did that on a test and got a 100
i’ll give brainliest!
Answers
Answer:
-6
Step-by-step explanation:
just keep the same slope and just pretend to move the line up 8 which would decrease the x value by 14 equaling -6
Fatima is painting this cardboard cut out for her class play. the cutout is a trapezoid 3 m tall. it has a square opening. what is the area that Fatima needs to paint?
PLS SHOW WORK.
Answers
Answer:
8 square meters
Step-by-step explanation:
Area of the trapezoid is (1/2)(3)(2+4)=9
Area of the trapezoid is (1)(1)=1
So the area she needs to paint is 9 - 1 = 8
The supplement of a 60∘ angle is an angle that measures how many degrees?
Answers
Answer:
120 Degrees
Step-by-step explanation:
Supplementary means angles that add up to 180 Degrees, so 180 - 60
Hope it helps
A new movie theater opens at the local mall. During the first month, the owner collected information
on how many customers they had throughout each day. The owner concluded that the number of
customers the theater has at any given moment can be represented by C(x) = -x2 + 11x where x
represents the number of hours that the movie theater has been open on a given day. The theater
opens at 12:00 PM.
At what time does the theater have no customers?
a.
11:00 PM
b. 5:30 PM
c. 2:00 PM
d. 8:30 PM
Answers
The time at which the theatre does not have any customers is; Choice A: 11:00 PM
Functions and variableFrom the task content;
The function which represents the number of customers the theater has at each point in time is;C(x) = -x² + 11xHence, when C(x) = 0, the theater has no customers.
0 = -x² +11xDivide through by x;
0 = -x +11x = 11.
Read more on functions and variables;
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Coach reynolds bought 23 bottles of sports drink. Each bottle contains 25 ounces of sports drink. If he wants to have 700 ounces of sports drink for the football `game on friday night, how many more bottles of sports drinks should Coach reynolds buy.
4th grade.
Answers
Answer:
5 more bottles
Step-by-step explanation:
23 x 25 will give us how many ounces Coach Reynolds have already.
23 x 25 is 575
700 - 575 will give us how many ounces he needs to buy.
700 - 575 is 125
125 divided by 25 will give us how many bottles he needs to buy
125 divided by 25 is 5
So 5 more bottles
Hope this helps! :)
Vishal decided to return to Greenwood Bakery on Liberty Avenue on Tuesday to buy more desserts. This time he bought cookies and cake pops. He needed to buy at least 10 desserts to share with his family. each cake pop was $4 and each cookie was $2 Vishal could not spend more than $30. of each cake pop is x and each cookie is y determine the different amounts of desserts Vishal can purchase though graphing
Answers
The linear equality that shows this relationship is x + y ≥ 10 and 4x + 2y ≤ 30
Equation
An equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the number of cake pop and y represent the number of cookie. Hence:
x + y ≥ 10 (1)
Also:
4x + 2y ≤ 30 (2)
The linear equality that shows this relationship is x + y ≥ 10 and 4x + 2y ≤ 30
Find out more on equation at: https://brainly.com/question/13763238
Help bell math math math
Answers
y = ax + b
The coefficient of x is the slope of the line in this form of the linear equations.
=====================================
The perpendicular line have negative and inverse slope which means the product of their slope must equals to - 1 .
Thus if we suppose that the line we want to find it's equation has a slope of m ; we have :
4 × m = - 1
Divide both sides by 4
4m ÷ 4 = - 1 ÷ 4
m = - 1/4
Thus we know the coefficient of x now :
y = - 1/4 x + b
======================================To find the value of b we need one of the point that the line passed through it which is the point ( 4 , - 11 ) .
All we have to is put the coordinates in the equation and find the value of b.
Let's gooo....
y = - 1/4 x + b
put the coordinates in the equation
- 11 = (- 1/4)×4 + b
- 11 = - 1 + b
Add both sides 1
- 11 + 1 = -1 + 1 + b
b = - 10
======================================
Thus :[tex]y = - \frac{1}{4} x + ( - 10) \\ [/tex]
[tex]y = - \frac{1}{4} x - 10 \\ [/tex]
Answer:
y = ax + b
Step-by-step explanation:
A car dealer purchases a car for $5,000 and sells for $6,600 what is his percentage profit? Round your answer to the nearest whole percent
Answers
Answer:
32%
Step-by-step explanation:
The percentage profit is the ratio of profit to original cost, expressed as a percentage. The profit is the difference between the selling price and the cost.
profit = selling price - cost
profit = $6600 -5000 = $1600
The ratio of that to cost is ...
$1600/$5000 = 0.32
As a percentage, that is ...
0.32 × 100% = 32%
The car dealer's profit was 32% of his cost.