How to solve stacked similar figures
Answer:
Step-by-step explanation:
You can identify similar polygons by comparing their corresponding angles and sides. As you see in the following figure, quadrilateral WXYZ is the same shape as quadrilateral ABCD, but it’s ten times larger (though not drawn to scale, of course). These quadrilaterals are therefore similar.
similar polygons: For two polygons to be similar, both of the following must be true:
Corresponding angles are congruent.
Corresponding sides are proportional.
To fully understand this definition, you have to know what corresponding angles and corresponding sides mean. (Maybe you’ve already figured this out by just looking at the figure.) Here’s the lowdown on corresponding. In the figure, if you expand ABCD to the same size as WXYZ and slide it to the right, it’d stack perfectly on top of WXYZ.
How do I find x in these equations
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5) Go....
[tex]17 = 4x + 1[/tex]
[tex]4x + 1 = 17[/tex]
Subtract sides 1
[tex]4x + 1 - 1 = 17 - 1[/tex]
[tex]4x = 16[/tex]
Divide sides by 4
[tex] \frac{4x}{4} = \frac{16}{4} \\ [/tex]
[tex]x = 4[/tex]
_________________________________
6) Go...
[tex]2x - 2 = 16[/tex]
Add sides 2
[tex]2x - 2 + 2 = 16 + 2[/tex]
[tex]2x = 18[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{18}{2} \\ [/tex]
[tex]x = 9[/tex]
_________________________________
7) Go...
[tex]95 = 7x + 18[/tex]
[tex]7x + 18 = 95[/tex]
Subtract sides 18
[tex]7x + 18 - 18 = 95 - 18[/tex]
[tex]7x = 77[/tex]
Divide sides by 7
[tex] \frac{7x}{7} = \frac{77}{7} \\ [/tex]
[tex]x = 11[/tex]
_________________________________
8) Go...
[tex]78 + 9x - 6 = 180[/tex]
[tex]9x + 72 = 180[/tex]
Subtract sides 72
[tex]9x + 72 - 72 = 180 - 72[/tex]
[tex]9x = 108[/tex]
Divide sides by 9
[tex] \frac{9x}{9} = \frac{108}{9} \\ [/tex]
[tex]x = 12[/tex]
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HELP!!!!
The total cost of Anja’s trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and value of x, the cost of each cavity filling?
A. 4 x + 89.95 = 628.35; x = 134 dollars and 60 cents
B. 4 (89.95) + x = 628.35; x = 268 dollars and 55 cents
C. 4 x + 89.95 = 628.35; x = 179 dollars and 58 cents
D. 4 (89.95) + x = 628.35; x = 538 dollars and 40 cents
Answer:
A
Step-by-step explanation:
Answer:
The answer is A/or 4x + 89.95 = 628.35; x = $134.60
Step-by-step explanation:
Mec mec is angry because she has to pay 10% tax in NY. She is ready to give the clerk the biz-ack hand, but instead pays it on a $70 item. How much tax did she pay?
Answer:
7$
Step-by-step explanation:
i took the test
Um- help-.. please don’t comment if you don’t know
Answer:
Each point does NOT ALWAYS give the same amount of tickets.
11 point would most likely give 90 tickets.
Step-by-step explanation:
2 points give 18 tickets = 9 tickets per point
3 points give 27 tickets = 9 tickets per point
9 points give 72 tickets = 8 tickets per point
You can add the 2 point value with the 9 point values to find out many point it takes to get to 90 tickets.
18(2 tickets) + 72(9 tickets) = 90(11 tickets)
Answer:
Im, not as sure, but I think it's 10 points!
Step-by-step explanation:
If you divide the tickets by the points, they always come up as a whole number ( 9, 9 , then 8.) To be honest, I was a little stuck, but after messing around,, if you divide 90 by 10, you get a whole number, 9. so I was just thinking this would be right? Maybe? The Points keep increasing, so that follows that pattern...
Honestly, I hope this helps, but I'm super sorry if that is wrong!!
Which equation describes a line perpendicular to line r that passes through the point (3,-6) x-3y=21, 3x+y=3, 3x-y=15, 3x-y=3
Answer:
See Explanation
Step-by-step explanation:
Missing in the question is the slope of line r.
We'll assume that the slope (m) of line r is
[tex]m = -\frac{1}{3}[/tex]
When two lines are perpendicular, their slope are related in:
[tex]m_2 = -1/m_1[/tex]
[tex]m_2 = -1/\frac{-1}{3}[/tex]
[tex]m_2 = -1 * -3[/tex]
[tex]m_2 = 3[/tex]
The equation of the (3,-6) is:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex](x_1,y_1) = (3,-6)[/tex]
So:
[tex]y - (-6) = 3(x - 3)[/tex]
[tex]y +6 = 3x - 9[/tex]
Make y the subject
[tex]y = 3x - 9 - 6[/tex]
[tex]y = 3x - 15[/tex]
Please note that this answer might be incorrect to you based on the assumed value. However, the step will guide you in solving similar questions
I'LL MARK BRAINLEST JUST PLS HELP ME
Answer:
B
Step-by-step explanation:
Answer:
30.96 mm²
Step-by-step explanation:
area of square: side×side
12×12= 144 mm²
area of circle: πr²
π×6²= 113.01 mm²
area of shaded region: 144-113.01 = 30.96 mm²
hope it helps!!!
Mr. Hoagie's Sandwich Shop charges a 9% delivery fee on all orders. If your food costs $27.50, what should you expect your total bill to be if it includes the delivery fee?
Answer:
$36.50
Step-by-step explanation:
9% of 27.50= 9. Adding the $9 fee, $36.50 is your total price. Hope this helped.
A shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $71?
Answer:
99.40
Step-by-step explanation:
$71 * .4 = $28.40
$71 + $28.40 = 99.40
Answer:
The selling price would be $99.40
PLZ help. I need this today.
Answer:
X=16
Step-by-step explanation:
6x=32+64
6x= 96
X= 16
You roll two die. What is the probability you will roll a 4, then roll a number less than 3?
A) 1/36
B) 1/9
C) 1/6
D) 1/18
Answer:
B 1/9
Step-by-step explanation:
Because there are 6 sides of a die then your adding 3 to the 6
I think. (please dont hate me if im wrong!!)
The probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18
What is the chain rule in probability for two events?For two events A and B:
The chain rule states that the probability that A and B both occur is given by:
[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent iff we have:
[tex]P(A \cap B) = P(A)P(B)[/tex]
For this case, let we define two events:Then A and B are independent as their outcomes are not directly related or prone to affect each other assumingly.
Thus, probability of rolling a 4, then rolling a number less than 3 is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Total number of outcomes for any roll = n(S) = 6
Favorable number of outcomes for event A = n(A) = 1 (since a 4 can occur in 1 way out of 6 results)
Thus, P(A) = n(A)/n(S) = 1/6
And, favorable number of outcomes for event B = n(B) = 2 (since numbers less than 3 are only 1 and 2, so two outcomes possible)
Thus, P(B) = n(B)/n(S) = 2/6
Hence, probability of rolling a 4, then rolling a number less than 3 is:
[tex]P(A \cap B) = P(A)P(B) = \dfrac{1}{6} \times \dfrac{2}{6} = \dfrac{2}{36} = \dfrac{1}{18}[/tex]
Therefore, the probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18
Learn more about probability here:
brainly.com/question/1210781
Make Sense and Persevere Paxton, a summer camp counselor, has a budget of $300 to spend on caps and T-shirts for a summer camp.
plz help this is due soon!!!
Answer:
9 shirts and 10 caps
Step-by-step explanation:
Buying one t shirt costs 20 dollars, and one cap would cost 12 dollars. If Paxton bought one cap and one shirt, that would cost 32 dollars. If we multiply that by 9, we get 288. So Paxton can buy 9 shirts and 9 caps with 288 dollars. Paxton has 12 dollars left, so Paxton can buy one more cap to entirely spend the budget.
pls help I'm gonna give brainliest but just help pls I need to do this but I don't get it.
A car travels 1/6 of the distance between two cities in 3/5 of an hour. At this rate, what fraction of the distance between the two cities can the car travel in 1 hour?
Answer:
They travel 5/18 in one hour
Step-by-step explanation:
Answer:
In an hour the car can cover 5/18 of the distance
Use the distributive property to remove the parentheses.
3(u + 7)
doing a test pls answer quick !!!
Please help I’m stuck
Answer:
23
hope it helps u :)
Step-by-step explanation:
2x+13
x=5
=2×5+13
=10+13
=23
Answer:
23
Step-by-step explanation:
When I was first introduced to algebra, One thing that had me stumped for the longest time is terms like "2x". This is because nobody explained to me that saying "2x" and similar terms implies a multiplication. so "2x" actually means "2 × x". I only mention this because I thought maybe it would help.
To solve it then, all we need to do then is think of "x" as meaning five, and it being multiplied by 2
We're given this:
[tex]2x + 13[/tex]
which you can also read as this:
[tex]2 \times x + 13[/tex]
We're told x equals five, so we can say:
[tex]2 \times 5 + 13[/tex]
Remember when solving this, that multiplication and division always come before addition and subtraction, so let's do the multiplication:
[tex]10 + 13[/tex]
and then add it up:
[tex]23[/tex]
So the final answer is twenty-three.
5. Solve for x.
13
5
X
(a) If x=8 draw the
following nose and
mustache.
(b) If x=12 draw the
following nose and
mustache.
Answer:
12.
Step-by-step explanation:
According to Pythagorean's Theorem, x^2+25=169. If you subtract 25 from both sides, you might get x^2=144. You then square both sides and get that x=12.
Keith has $500 in a saving account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 (that means he takes $25 out of) from his account each week for food, clothes, and movie tickets.
Answer:
keith is poor
Step-by-step explanation:
sorry
name 2 types of subtraction
A retailer marks up their furniture 33% over wholesale prices. If a dresser costs $975 wholesale, what does the retailer charge?
Answer:
$1296.75Step-by-step explanation:
What is the length of AC?
PLEASE HELP! WILL GIVE 25 POINTS AND BRAINILEST FOR CORRECT ANSWER. True or False and why? If a quadrilateral has four sides all of which are congruent, then the quadrilateral is a parallelogram.
Does this graph represent a function ?
Starting out 1 PM the temperature changes -4°F per hour write and solve an equation to determine how long it will take for the temperature to reach -1°F F at1 PM the temperature is 35°F
Answer:
i dunno man you worded it weird
Step-by-step explanation:
Please help! Thanks!
Answer:
G.) 6
Step-by-step explanation:
The way the question is worded leads me to believe you're looking for the range. In this case, it is 6, because 12 (the greatest valued data point) minus 6 (the least valued data point) is 6.
HELPPPPPPPPP MEEEEE STARVINGGGGG
Actually help me with the screenshot though LOL
Answer: i think A, but might not be sry
Step-by-step explanation:
-5x+3y>9 help me plesese
Answer: x < 3/5 y + -9/5
Step-by-step explanation:
is provided below :)
I can't figure this out :/
Answer:
I believe it is d because when you get to negatives they are always on the left side
Step-by-step explanation:
add my sc guys its jg5690
If anybody can solve this i will give you brainliest
8(4y+4)
It is equal to 32y+32 if you wanted to simplify it.
Answer:
32y + 32
Step-by-step explanation:
8 × 4y + 8 × 4
Keegan and Annie are working on an experiment in the
science lab. Their mixture contains ingredients that weigh
5.12 grams, 4.7 grams, and 7.32 grams. Keegan calculates
the combined weight to be 17.14 grams; Annie calculates
it to be 12.91 grams.
Who is correct, and why?
5.12
4.70
Keegan
+7.32
17.14
5.12
4.7
Annie
+7.32
12.91
O A. Keegan is correct. Annie did not regroup properly,
O B. Annie is correct. Keegan did not line up the decimals correctly.
C. Keegan is correct. Annie did not line up the decimals correctly.
D. Annie is correct. Keegan did not regroup properly.
Answer:
me name mort am swag
Step-by-step explanation: me my mom. she say help the noob. am no help you. doodoo pants.