Answers
Answer:
x=19
Step-by-step explanation:
●Alternate angles are equal
therefore, angle WYZ= angle YWX
2x= angle YWX
●Angles within a triangle sum up to 180 degrees
=3x-5+2x+90=180
▪︎group like terms
=3x+2x+90-5=180
=5x+85=180
▪︎send all x terms to one side of the equation
=5x=180-85
=5x=95
▪︎divide both side by the coefficient of x ; 5
=x=19
Related Questions
if x equals y what does y equal
Answers
Answer:
x
Step-by-step explanation:
If x is y than y is equal to x only
x=y & y=x :)
8TH GRADE MATH 100 POINTS+BRAINLIEST - Factor Quadratic equations- please write out the steps, explain simply, and possibly provide a couple rules to remember for questions like these in the future. Any offensive answers or ones for the sake of points will be reported THANKS SO MUCH!!!
Also, 5 more 8th grade math questions are coming–GIVING AWAY 600 POINTS
Answers
Hello,
We have : (a + b)² = a² + 2ab + b²
4x² + 20x + 25 = (2x)² + 2 × 2x × 5 + 5² = (2x + 5)² → answer B
Here, we have a = 2x and b = 5 !
Answer:
[tex]\textsf{b.} \quad (2x+5)^2[/tex]
Step-by-step explanation:
Given quadratic equation:
[tex]4x^2+20x+25[/tex]
To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].
[tex]\implies ac=4 \times 25=100[/tex]
[tex]\implies b=20[/tex]
Factors of 100 that sum to 20: 10 and 10
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies 4x^2+10x+10x+25[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies 2x(2x+5)+5(2x+5)[/tex]
Factor out the common term (2x + 5):
[tex]\implies (2x+5)(2x+5)[/tex]
Simplify:
[tex]\implies (2x+5)^2[/tex]
Learn more about quadratic equations here:
https://brainly.com/question/27997764
SALES TAX Apply your knowledge of percentages to solve the problems below. Round answers to the nearest hundredth. 1. How much sales tax will be charged on a good priced at $32.507 2. How much sales tax will be charged on a good priced at $56.00? 3. If a good is priced at $17.00, how much will you pay after tax? 4. If a good is priced at $132.99, how much will you pay after tax? 1
Answers
1) 34.46
2) 59.36
3) 18.02
4) 140.97
let me know if sales tax is different
HELP ASAP!!!!!!!!!!!!!!!!!
Answers
Answer:
19
Step-by-step explanation:
ZYW=YWX
2x=180-90-(3x-5)
2x=90-3x+5
2x=95-3x
5x=95
x=19
PLEASE HELP: What is the sales tax for each item?
Textbook: $20.00
Sales tax: 4%
Answers
Answer:
0.8
Step-by-step explanation:
The tax is calculated as the total price of the object multiplied by the amount of sales tax.
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number.
If the tens digit is x, then the equation is:
The number is:
Answers
Answer: 32
Step-by-step explanation:
The only numbers that can have 2 digits and two of which equal to five can only be:
3+2
2+3
4+1
1+4
So the numbers are: 41,14,23, and 32.
41-9=32
14-9=5
23-9=14
32-9=23
Since the question is asking for the number who’s difference is the reverse of one of the numbers. The only possible answer is 32 because 32-9= 23. (23 is the reverse of 32)
3+2 is equal to 5
32 - 9 is equal to 23 witch is the reverse of 32
100 POINTS+BRAINLIEST 8TH GRADE MATH PT 5: WRITE THE EQUATION OF A LINE- this one was strange because the slope is supposed to be a negative fraction but that never appeared in the answer choices so please explain why I got it wrong thanks!!
Answers
Answer:
[tex]\textsf{b.} \quad 3x+5y=2[/tex]
Step-by-step explanation:
Define the given points:
[tex]\textsf{let}\:(x_1,y_1)=(4,-2)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(-1,1)[/tex]
Use the slope formula to determine the slope of the line:
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-(-2)}{-1-4}=\dfrac{1+2}{-1-4}=-\dfrac{3}{5}[/tex]
Use the point-slope formula to determine the equation of the line.
[tex]\implies y-y_1=m(x-x_1)[/tex]
Substitute the found slope and point (4, -2):
[tex]\implies y-(-2)=-\dfrac{3}{5}(x-4)[/tex]
[tex]\implies y+2=-\dfrac{3}{5}(x-4)[/tex]
Multiply both sides by 5:
[tex]\implies 5(y+2)=-3(x-4)[/tex]
Expand the brackets:
[tex]\implies 5y+10=-3x+12[/tex]
Add 3x to both sides:
[tex]\implies 5y+10+3x=-3x+12+3x[/tex]
[tex]\implies 3x+5y+10=12[/tex]
Subtract 10 from both sides:
[tex]\implies 3x+5y+10-10=12-10[/tex]
[tex]\implies 3x+5y=2[/tex]
Please use statemnet reasoning!
Answers
Answer:
lineHO parallel lineEN - Given
lineHW = lineNW - Given
angle HWO congruent angle EWN Vertical Angles
angle OHW congruent angle ENW Alternate interior angles
Thus triangle HOW congruent triangle NEW
[wouldn't let me use symbols sorry]
PLEASE: Find The Ending Balence
1. $939 at 8% for 6 years
2. $823 at 3% for 9 years
3. $269 at 1# for 3 years
Answers
Answer:
$450.72$222.21$8.07Step-by-step explanation:
2: 222.21
3: 8.07
There are 5 blue socks in Josh’s drawer. After he removes 3 non-blue socks, the probability to pick a blue sock at random becomes . How 1/7 many non-blue socks were in Josh’s drawer originally?
Answers
Answer: There is 5 non blue sock in Josh's drawer
Step-by-step explanation:
The denominator shows the total of nonblue and blue socks. So there are 7 non-blue and blue socks in the drawer after he removes 3 non blue socks.To find how many non-blue where in the drawer originally you need to find how many non blue are in the draw after removing the three. So you subtract 7 from 5 which gives you 2. So there are 2 non-blue socks in the drawer after removing the three. Now you need to find how many non-blue were there before he removed the three. So add the 3 non blue socks that he removed to the two that were there after which gives you five.
Write the number in expanded form for the significant digits
117.000
20.018
13.265
3.4000
0.8100
Answers
1. 117.00= 100+ 10+ 7
2. 20.018 = 20+ 0.01+ 0.008
3. 13.265 = 10+ 3+ 0.2+ 0.06+ 0.005
4. 3.4000 = 3+ 0.4
5. 0.8100 = 0.8+ 0.01
what is √75 in simplifed form?
Answers
Answer:
5√3
Step-by-step explanation:
how much will you have to pay back in total if you borrowed $400 from the bank for a year at 12%
Answers
400x.12= 48
2) add interest and loan amount
400+48= 448
You would have to pay back $448 in total after one year.
What is the amount on the loan?The simple interest formula can be expressed as;
I = P × r × t
Where I is interest, P is principal, r is interest rate and t is time.
Given the parameters:
Principal P = $400 (the initial loan amount)
Rate r = 12% = 12/100 = 0.12
Time t = 1 year
Interest = ?
To determine the interest, we can use the above formula for simple interest:
I = P × r × t
Interest = $400 × 0.12 × 1
Interest = $48
Money to be paid back will be:
Amount = Principal + Interest
Amount = $400 + $48
Amount = $448
Therefore, the accrued amount to be paid is $448.
Learn more about simple interest here: brainly.com/question/25845758
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This is 8th grade math on khan academy, correct answers only ty- 7 points
have a gud day folks
Answers
9² or 9^2
Step-by-step explanation:Because the base is the same on the top and the bottom which is "9", you would either add or subtract the top and bottom exponent based on the arithmetic symbol used.
Because the arithmetic symbol division sign is used, you subtract the top exponent by the bottom giving you the answer nine to the power of two.
Answer:
The correct answer is [tex]9^2[/tex]
Step-by-step explanation:
9 is the base and 7-5=2. so n=2.
What is the length of AC
Answers
Answer:
6.4
Step-by-step explanation:
Use the triangle angle bisector theorem.
4.9/2.6 = AC/3.4
2.6AC = 4.9 × 3.4
AC = 6.40769...
Answer: 6.4
The table and the graph each show a different relationship between the same two variables, x and y:
A table with two columns and 5 rows is shown. The column head for the left column is x, and the column head for the right column is y. The row entries in the table are 3,210 and 4,280 and 5,350 and 6,420. On the right of this table is a graph. The x axis values are from 0 to 10 in increments of 2 for each grid line. The y axis values on the graph are from 0 to 550 in increments of 110 for each grid line. A line passing through the ordered pairs 2, 110 and 4, 220 and 6, 330 and 8, 440 is drawn.
How much more would the value of y be in the table than its value on the graph when x = 11?
Answers
Answer:
275
Step-by-step explanation:
PLEASE ANSWER: A camera usually sells for $68. Because it was slightly damaged, it sold for $59.90, what was the rate of the discount to the NEAREST PERCENT?
Answers
Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.
Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.
Answers
biscuits sweet strawberry
X= the dessert
4= ounces per dessert
Numbers and Operations KA 8th grade- correct answers only ty, and have a great day folks (7 pts)
Answers
Answer:c
Step-by-step explanation:
Answer:
it's c
Step-by-step explanation:
khan academy
Please help me.
i need to finish
Answers
you are going to paint the sixth sector spinner shown.There are 4 colors to choose from. How many different ways can u paint this spinner if each color can be used more than once and there are no other restrictions
Answers
Answer:
There are 4096 options to choose from.
Step-by-step explanation:
6 sections each with 4 colours to choose from : 4⁶ = 4096
The spinner with 6 different parts and 4 different colors can be painted in 4⁶ ways.
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, you are going to paint the sixth sector spinner shown and there are 4 colors to choose from also each color can be used more than once and there are no other restrictions.
∴ The first part can e painted in 4 different ways and as there are no restrictions every 6 parts can be painted in 4 different ways.
So, the total no. of ways to color this spinner with 6 different parts and 4 different colors are,
4×4×4×4×4×4 ways,
= 4⁶ ways.
learn more about permutation and combination here :
https://brainly.com/question/2295036
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Let point P be (3, 5) and Q be (8, -3). Let T be the point on segment PQ such that PT:TQ = 1:2. Find
the coordinates of point T, and explain why this point T must be the point on segment PQ such
that PT:TQ = 1:2
Answers
Answer:
(14/3, 7/3)
Step-by-step explanation:
8-3=5, and 5/3+3=14/3.
5--3=8, and 8/3+5=7/3.
This has a ratio of 1:2 because the length is divided into three and 1 is separate from the other two.
What is the total amount due after 6 months on an initial loan of $1,400 at 12.5% annual interest.
Answers
Answer: $1487.50
Step-by-step explanation:
hey there again!
Facts:
Principal (starting amount): $1,400
Annual interest rate: 12.5% of the principal. Whenever you get an annual interest rate as a percentage, its always that percentage of the starting amount.
Time given: 6 months, 1/2 a year
the question asks "total amount due' in 6 months. Basically, we want to know how much they will have in their account after 6 months.
Step 1: Find how much interest he will get in 6 months as a percentage.
6 months is 1/2 of a year, so find 1/2 of 12.5
1/2 of 12.5
1/2 x 12.5
0.5 x 12.5
6.25%
Step 2: Find how much interest he gets, but as a number.
Principal: $1400
6.25% of 1400= $87.50
Step 3: Find the total amount of money he will have after 6 months.
he starts with 1400, and gets an additional $87.50 added to his account after 6 months. How much does he have now?
To answer this, add to find the total:
87.50+1400= $1487.50
Ummm, Is this right
Mary brought 500ml of water to school, she drank 400ml herself,and shared the remaining am9unt of wayer equally among 4 friends. What amount of water did each friend drink?
Answers
Answer:
[tex]\huge\boxed{\sf 25\ ml}[/tex]
Step-by-step explanation:
Total amount of water = 500 ml
Mary drank = 400 ml
Left:
= 500 ml - 400 ml
= 100 ml
This was divided equally among 4 friends.
So,
Each friend got:
= 100 ml/4
= 25 ml
[tex]\rule[225]{225}{2}[/tex]
HELP ME ASAP!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
5x+ACB=180
A=33
2x+33 +ACB=180
This means 2x+33=5x
3x=33
x=11
We know that 5x + angle c=180
A=33 so therefore
2x+33+angle c=180
2x+33=5x
3x=33
X=11
Help me please and thank you !
Answers
A would be incorrect because the problem is asking what the area of the stamp would be. In order to find area, we multiply length and width by each other. The given equation we initially had shows division, and would therefore be incorrect. B would be incorrect because although the equation has the correct evaluation symbol, the formula for identifying length would be L = A / W, which means length equals area divided by width. Because the area is 1/4 in this problem, the expression used for evaluation would be 1/4 divided by 1/5. D is incorrect because, like B, the evaluation expression would be 1/4 divided by 1/5.
Your final answer: Because C is the only problem that gives us a corresponding expression to the initial expression, C is the correct answer. If you need extra help, let me know and I will gladly assist you.
Answer:
Step-by-step explanation:
(A)length of a stamp=1/5foot
wide of a stamp=1/4foot
area of the stamp=?
area of the stamp=length of a stamp *wide of a stamp
=1/5*1/4
=1/20square foot
(B)an area of the room=1/4 square meter
width of the room=1/5meter
length of the room=?
an area of the room=width of the room*length of the room
1/4 =1/5 * length of the room
1/4 = length of the room/5
5/4 =length of the room
length of the room =5/4=1 1/4(C)the area of the canvas=1/5square yard
width of the canvas=1/4 yard
length of the canvas=?
an area of the canvas=width of the canvas*length of the canvas
1/5 = width of the canvas*1/4
1/5 = width of the canvas/4
4/5 =width of the canvas
width of the canvas= 4/5
(D)length of the rectangular course=1/5mile
area of the rectangular course=1/4square mile
width of the rectangular course=?
an area of the rectangular course
=
width of the rectangular course*length of the rectangular course
1/4 =width of the rectangular course*1/5
1/4 =width of the rectangular course/5
5/4 =width of the rectangular course
width of the rectangular course=5/4
6.) Michael & Melissa both claim to be earning a C average, 70% to 79%, in their Latin Class. Use the table below to explain their reasoning and determine which student is earning a C average.
Answers
To figure out the average of Michael and Melissa we must add up all their test scores and divide the by 7; which is the number of tests they took.
Michael:
(80+76+73+70+40+25+10)/7
Melissa:
(88+83+75+70+60+65+62)/7
Michael's average is 53.4
Melissa's average is 71.9
So Melissa is earning a C in Latin.
Which expression is equivalent to 56x-28y + 42?
a.) 8(7x - 3y + 6). b.) 7(8x + 4y +6z)
c.) 7(8x - 4y + 6)
Answers
Answer:
Letter c
Step-by-step explanation:
You are distributing the 7 to each term in the parentheses.
7(8x) is 56 x
Here is the tricky part. You can think of it a couple of ways:
7(-4y) = -28y a positive times a negative is a negative.
or 7(4y) = 28 , but then remember that you are subtracting so it will become -28
7(6) = 56
56x - 28y +42
Answer:
c.) 7(8x - 4y + 6)
Step-by-step explanation:
if we solve 7(8x-4y+6), we get;
56x-28y+42
Rolled oats is packaged in a right circular cylindrical container that has a radius of 6 centimeters and a height of 12 centimeters.
What is the surface area of this container in terms of pi?
Answers
These days people use plastic to pay for everything. " What does this synecdoche mean in this question?
Answers
Answer:
ospe4mhe is taht he iaoe
Answer:
Synecdoche means in which a part of something is substituted for the whole (as hired hand for "worker")