Problem 1
Answer: AD = 9
-------------------------------------------------
Work Shown:
Focus on triangle ADB, which is the smaller triangle on the left.
We have these side lengths
AD = unknown leg
BD = 12 = known leg
AB = 15 = known hypotenuse
Let's apply the Pythagorean Theorem to find the unknown leg
a^2 + b^2 = c^2
(AD)^2 + (BD)^2 = (AB)^2
(AD)^2 + (12)^2 = (15)^2
(AD)^2 + 144 = 225
(AD)^2 = 225-144
(AD)^2 = 81
AD = sqrt(81)
AD = 9
Side AD is 9 units long.
========================================================
Problem 2
Answer: AC = 25
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Work Shown:
AC = AD + DC .... segment addition postulate
AC = 9 + 16 ..... substitution; refer to problem 1
AC = 25
========================================================
Problem 3
Answer: Triangle ABC is a right triangle.
-------------------------------------------------
Work Shown:
The Pythagorean Theorem Converse says "if a^2+b^2 = c^2 is a true equation, then the triangle with sides a,b,c is a right triangle". Keep in mind that c is always the longest side (hypotenuse). The order of 'a' and b doesn't matter. Convention has us usually do [tex]a \le b[/tex] but again the order isn't important.
We have these three sides
a = 15 (length of side AB; leg #1)b = 20 (length of BC; leg #2)c = 25 (length of AC; hypotenuse)Plug those values into the equation below. Simplify each side.
a^2+b^2 = c^2
15^2 + 20^2 = 25^2
225 + 400 = 625
625 = 625
We get a true equation. Therefore, triangle ABC is a right triangle.
Answer:
Step-by-step explanation:
Pythagorean = c^2 =a^2 + b^2
we are given c and a so solve for b
c^-a^2 = b^2
15^2- 12^ = b^2
81= b^2
[tex]\sqrt{81}[/tex]=b
9=b
AD=b
AC = AD + 16
AC =9 + 16 =25
if it's a right triangle then Pythagorean will work with the sides to make 25
AC^2 = 15^2+20^2
AC = [tex]\sqrt{625}[/tex]
AC = 25
HELP !!!!!!!!!!!!!! giving brainliest!!!!!!!!!!!!!!
Answer:
It’s the second one
Step-by-step explanation:
I hope this helps
Answer:
B 2
Step-by-step explanation:
I don't understand this problem, could anyone help?
Answer:
B ✌
Step-by-step explanation:
Hope this helps you out
Part 2#
Practice (need help with 1 2 and 3)
Answer:
1- 14
2- 24
3- 56
Step-by-step explanation:
its multiplied by 2 each time
Answer: 14, 24, 49
You just do as the attern tells you
i+5 < 3u+5
subtract 5 from each side
what do we have left
Answer:
i+2<3u+2 is the answer for your question.
Part D
Finally, use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance for her entire shopping trip. Use your answers from parts A through C to guide you.
PART C; The original price of Rylee’s groceries was $23.50. This money is leaving her bank account, so represent the amount with a negative sign:
-$23.50.
Rylee got a 20% discount on her purchase. In other words, she got 20% of her money back. The expression that represents the net change in her bank account is
-$23.50 – (-$23.50 × 0.2).
Further simplify the expression by factoring -$23.50 from both terms:
-$23.50 – (-$23.50 × 0.2)
=
-$23.50(1 – 0.2)
=
-$23.50(0.8).
Answer:
look at explanation
Step-by-step explanation:
PART C; The original price of Rylee’s groceries was $23.50. This money is leaving her bank account, so represent the amount with a negative sign:
-$23.50.
Rylee got a 20% discount on her purchase. In other words, she got 20% of her money back. The expression that represents the net change in her bank account is
-$23.50 – (-$23.50 × 0.2).
Further simplify the expression by factoring -$23.50 from both terms:
-$23.50 – (-$23.50 × 0.2)
=
-$23.50(1 – 0.2)
=
-$23.50(0.8).
The net change to her banking account balance is $83.22.
What is net change?The net change theorem states that when a quantity changes, the final value equals the initial value plus the integral of the rate of change. Net change can be a positive number, a negative number, or zero.
Given that, She spent $36.50 plus 8% tax. (to calculate the tax amount, we have to multiply the cost by the percentage in decimal form)
36.50 x (8/100) =$2.92 (value of tax)
Adding to the original cost
36.50+2.92 = $39.42
Then, she spent $25 to refuel her car at the gas station.
39.42 +25 = $64.42
She bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase
23.50 x (20/100) = 4.7 (amount of discount)
Subtracting to the purchase
23.50 -4.7= $18.8
Hence, adding to the total cost.
64.42 +18.8 = $83.22
For more references on net change, click;
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The store manager decided to decrease price of ice cream store sells by 10% for the month of July. The amount of ice-cream sold in July increased by 24% comparing to June. Did the store proceedings (money that the store obtained from ice cream sales) increase or decrease in July? By how many percent?
Answer:
For example:
Price of ice cream in june was 10$ and amount of ice cream sold is 100. Store earned 10$ 100=1000$
Price of ice cream in july has been decreased by 10%. Price of ice cream is now 9$. The amoun of ice cream sold in july increased by 24% compering to june. So amount of sold ice cream in july is 124. Store earned 9$*124=1116$.
Store's proceedings increased in July by 11.6%.
Answer:
increased by 11.6%
Step-by-step explanation:
six times the quotient of four and a number
PLEASE HELP ME!!!!!!!!
Answer: 6(4/x)
Step-by-step explanation:
Quotient means division so it is 4 divided by a number. This number is unknown so it’s a variable making it 4/x
You also need to multiply this by 6 so 6(4/x)
While catching fireflies, you and a friend decide to have a competition. After m minutes, you have (3m+13) fireflies and your friend has (4m+6) fireflies.
Write an expression in simplest form that represents the number of fireflies you and your friend caught together.
Answer:.
Step-by-step explanation:.
Answer:
7m+19
Step-by-step explanation:
If you are trying to figure it out only for that minute, you would get 7m+19 by first adding 4m and 3m and then adding 13+6. If you add those, you get 7m and 19. Combine them and you get 7m+19
Lacy saves 45% of her paycheck. If Lacy's paycheck is $680, how much does she save?
Answer:
306
Step-by-step explanation:
u havw to do the formula part whole = % & 100.
45 x 680 = 30600
30600 divide 100 = 306 :)
Which statements are true about points A, B, and C? Check all that apply.
The coordinates of point A are (3, –3).
The coordinates of point B are (1, –3).
The coordinates of point C are (–2, 2).
Point C is the closest to the y-axis.
Points A and B are the same distance from the x-axis.
Answer:
A is 3 -3 and c is true
Step-by-step explanation:
Which is a true statement about the data shown in the tables?
Answer:
D
Step-by-step explanation:
Neither table os a linear relation
Top left Top right
Bottom Left Bottom right
-ANSWER CORRECTLY
-DO NOT ANSWER IF YOU DO NOT KNOW
-DO NOT COPY AND PASTE YOUR ANSWER
-DO NOT COPY OTHER PEOPLE
Answer:
top left
Step-by-step explanation:
Answer: the first one
Step-by-step explanation:
Awarding Brainliest on this
Answer: v = 3
I guess infinite solutions
Step-by-step explanation:
2v + 5v - 8 = 13
combine like terms
7v - 8 = 13
add 8 to both side
7v = 21
divide both side by 7
v = 3
sean earned $31,000 last year. if the first $25,000 is taxed at 9% and income above is taxed at 15%, how much does sean owe in tax?
$3,150
$3,550
$4,100
$4,320
The amount for Sean owe in tax will be $3,150.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Sean earned $31,000 last year.
In the first $25,000 is taxed at 9% and income above is taxed at 15%.
Now,
Since, In the first $25,000 is taxed at 9%.
Hence, The amount of tax = 9% of $25,000
= 9/100 × $25,000
= $2,250
And, Income above is taxed at 15%.
Hence, The above income = $31,000 - $25,000
= $6,000
So, The tax for above income = 15% of $6,000
= 15/100 × 6,000
= $900
Thus, The total tax = $2,250 + $900
= $3,150
Learn more about the percent visit;
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A soap factory randomly inspects 100 bars of soap to better identify problems that occur during the manufacturing process. The table below displays the possible problems and frequency for each.
Soap Problems
Frequency
Underweight
4
Impurities
2
Broken bar
3
None
91
Total
100
If the soap factory makes 5,000 bars of soap per day, how many of those bars would they expect to be broken?
They would expect 100 bars to be broken.
They would expect 150 bars to be broken.
They would expect 300 bars to be broken.
They would expect 450 bars to be broken.
Help, please. WILL GIVE BRAINLIEST
A) (1.8,0.4)
B) (2.2,0.1)
C) (2.3 , 0)
D) (2.6, -0.2)
Max sold one third of his old stamps to buy 6 new stamps. He now has 15 stamps. How many did he start with?
ASAP PLS ANSWER I DEAD
Answer:
Variables: you are correct
Coefficients: -2
Constant: 3/7
Step-by-step explanation:
Variables are letters used in math so you were correct.
Coefficients are numbers with a variable. So to find the coefficient you would look for a number "connected" to a variable. This would be -2 because it is being subtracted from the first term.
The constant is 3/7 because you could put it on a number line.
Simplify the expression by arranging the steps in sequence, based on the order of operations. 1/6(30x+24)-1/7(63-7x)
Answer:
[tex]\frac{42}{42}[/tex] * (6x-5)
Step-by-step explanation:
Factor out 1/42 from both fractions first:
=
1/42 * (7(30x+24) - 6(63-7x))
then distribute the multiplication and combine like terms:
= 1/42 * (210x + 168 - 378 +42x)
= 1/42 * (252x-210)
Factor:
= 1/42 * 42(6x-5)
= 42/42 * (6x-5)
Ms. Gartland bought x number of shirts for the new members of her chorus. The cost for x number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. Which equation could be used to find x?
Answer:
The answer is 6 shirts
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
What is the equation of this line in standard form?
A. 6x−7y=17
B.11x−6y=13
C.6x−11y=13
D.6x−11y=−13
Answer:
A. 6x- 7y= 17
Step-by-step explanation:
answer this question first and you'll get a brainliest: Aaron's bird feeder holds 3/4 of a cup of birdseed. Aaron is filling the bird feeder with a scoop that holds 1/8 of a cup. How many scoops of birdseed will Aaron put into the feeder?
Answer:
6 scoops
Step-by-step explanation:
3/4 divided by 1/8
since you are dividing you would flip the secound number.
3/4 * 8/1
=6
Answer:
6 scoops of bird feeder.
Step-by-step explanation:
HELP! WILL GIVE BRAINLIEST IF CORRECT!
Answer:
First blank- $340
second blank- $400
Step-by-step explanation:
60/15=4
4 x 100(percent)=400
$400 is the total to get how much he still owes
400-60= 340
!!!!!!!!PLEASE HELP ASAP!!!!!!!!!
5 1/2 + 6 3/4 + 2 1/3=
IN A FRACTION ONLY THANK YOU
Help please it is graphing
Here are the pairs:
(from the left)
First group: 3rd graph, y = x - 2, table g
Second group: 2nd graph, y = 2x, table b
Third group: 1st graph, y = x + 2, table m
Use substitution to find the ordered pair of the following system of equations:
y=-8xy
y=6x-14
(_,_)
helppp on same prob pleasee
Need help with this one
Answer: No, the graph does not show a proportional relationship.
Step-by-step explanation:
Proportional relationships have to start at zero, and have a straight line.
Even though the graph has a straight line, it does not start at zero and therefore is not proportional.
Which expression is equivalent to (a^8)^4
A. a^2
B. a^4
C. a^12
D. a^32
Answer:
[tex]D. \ \boxed{a^{32}}[/tex]
Step-by-step explanation:
[tex](a^{8})^{4}=a^{8\cdot4}=a^{32}[/tex]
because
[tex](a^{x})^{y}=a^{x\cdot y}[/tex]
Solve for q..............................
Answer:
q=90
Step-by-step explanation:
90÷18=5 hope this helps
Answer:
q=90
Step-by-step explanation:
First, multiply the 18 to both sides then the q will be isolated.
18x5=90
The box plots below show student grades on the most recent exam compared to overall grades in the class:
two box plots shown. The top one is labeled Class. Minimum at 70, Q1 at 74, median at 83, Q3 at 92, maximum at 100. The bottom box plot is labeled Exam. Minimum at 60, Q1 at 81, median at 87, Q3 at 91, maximum at 95.
Which of the following best describes the information about the medians? (1 point)
A) The exam outlier at 60 makes the IQR narrower and the median higher.
B) The class data is more evenly spread, which pulls its median down.
C) The class median is lower than the exam median.
D) The class Q3 is higher than the exam Q3.
Answer:
Sorry but I don't have an explanation I guessed and got it right the answer is C)The class median is lower than the exam median. I hope this helps. :)