Transformation involves changing the position of a shape.
The complete statement is:
There are _3_ more ways with the order of the triangles reversed. There is a total of _9_ ways to write a congruence statement.
From the question, we understand that:
[tex]\mathbf{\triangle DVW \cong \triangle LCY}[/tex]
This mean that, the following 6 statements can be used as the congruent statements
[tex]\mathbf{\triangle DVW \cong \triangle LCY}[/tex]
[tex]\mathbf{\triangle DWV \cong \triangle LYC}[/tex]
[tex]\mathbf{\triangle VDW \cong \triangle CLY}[/tex]
[tex]\mathbf{\triangle VWD \cong \triangle CYL}[/tex]
[tex]\mathbf{\triangle WDV \cong \triangle YLC}[/tex]
[tex]\mathbf{\triangle WVD \cong \triangle YCL}[/tex]
A triangle has 3 sides, and there are 2 triangles in the question.
The number (n) of congruence statements is:
[tex]\mathbf{n = 3^2 = 9}[/tex]
The remaining (r) number of congruent statement is:
[tex]\mathbf{r = 9 - 6 = 3}[/tex]
So, the blanks should be completed with 3 and 9
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Simplify this algebraic expression.
z- 4/4+8
A. Z-7
B. Z+9
C. 2-3
D. Z+7
Answer:
(D) : Z+7
Step-by-step explanation:
−
1
+
8
}}
z−1+8
+
7
Answer:
Z-4/4+8
Z - 1 + 8
Z + (-1 + 8)
Z + 7
mr. tyler has a total of $5,000 in savings account and in a mutual fund. If he has x dollars in the savings account, how much dollars does he have in the mutusl fund?
Mr. Tyler has $(5000 - x) in the mutual fund, where is amount in the saving account.
If Mr. Tyler has $5,000 in total, and x dollars in the savings account.
The amount he has in the mutual fund can be calculated by subtracting the amount in the savings account from the total amount.
Amount in the mutual fund = Total amount - Amount in the savings account
Here, Total amount = $5000 and Amount in the savings account = x
Substituting the values back to the formula as
Amount in the mutual fund = $5,000 - x
So, Mr. Tyler has $(5000 - x) in the mutual fund.
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Find the equation of the line that passes through (1,4) and is parallel to3x+y+2=0
Answer:
y=-3x+7
Step-by-step explanation:
Step 1:
Make your thing into y=mx+b
3x+y+2=0 is the same as y=-3x-2
Step 2:
Plot your point at (1, 4)
Step 3:
Plot different points using your slope of rise 3 move 1 (remember you have a neg slope so keep that in mind)
Step 4:
Draw your line thru the points.
See below for an image. Hope that helped
The area of a fenced in back yard can be 144 square feet. The owners are trying to decide on the dimensions of the back yard, and have decided they want the length to be 10 feet more than its width. What will the dimensions of the back yard be?
A rectangle can be defined as a 4 sided geometric figure. One side of a rectangle is longer than the other sides. A rectangle can also be referred to as a quadrilateral.
The dimensions of the background are given as Width: 8 feet and the Length: 18 feet
The formula for the area of a rectangle is Length x Width.
The question says:
The owners want the length to be 10 feet more than its width. Hence:
L = W + 10
The area of the fenced backyard = 144 square feet.
Hence,
(W + 10) x W = 144
W² + 10W = 144
Rewriting the equation
W² + 10W - 144 = 0
We factorize the algebraic expression above
W² - 8W + 18W - 144 = 0
W(W - 8) + 18(W - 8) = 0
(W - 8) (W + 18) = 0
W - 8 = 0, W = 8
W + 18 = 0, W = -18
Since the width cannot be a negative value, the width of the backyard is 8 feet
Solving for the Length,
L = W + 10
L = 8 + 10
L = 18 feet
The length of the backyard is 18 feet.
Therefore, the dimensions of the backyard are Width: 8 feet and Length: 18 feet.
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How do I find all the angles?
Step-by-step explanation:
so let's say
•(x + 60) = <a
•2x = <b
so
•<a = <z & <b = <y
&
•<a + <b = 180
(x + 60) + 2x = 180
3x + 60 = 180
3x = 180 - 60
3x = 120
x = 40
• <a = (x + 60)
= 40 + 60
= 100
• <b = 2x
= 2 × 100
= 200
• <y = <b
= 200
• <z = <a
= 100
Step-by-step explanation:
so in a 4 sided figure all the angles measure to 360º in total
as well as in this case due to the two lines being parallel z=x+60 and y=2x
The easiest way for me is to write that all the angles = 360.
x+60+x+60+2x=2x=360
6x+120=300 simplify
6x=180 divide
x=30
so the angles are all 90º if you find each of them
how do i find the sum of (5/4q + 1) + (q - 4) + (-1/4q + 2)
Answer:
2q-1
Step-by-step explanation:
Add:
Look at only the q's inside the parenthesis and see if there are other q's in it, in this case there are none.
Now look outside the parenthesis and add the q's outside of it which is 5/4q, q and -1/4q
5/4q-1/4q is q
q+q is 2q
Now do the same thing with the numbers that doesn't have variables
1-4+2=-1
So the answer is 2q-1
Hope this helps!
Answer:
2q -1
Step-by-step explanation:
(5/4q + 1) + (q - 4) + (-1/4q + 2)
5/4q + 1 + q - 4 - 1/4q + 2
5/4q + q - 1/4q + 1 - 4 + 2
2q -1
Tom and Sean are window cleaners. Tom cleans 7 windows and Sean cleans 5 windows. Altogether they earn £36. How much will Tom get if they share the money in the same ratio as the number of windows they have cleaned?
Step-by-step explanation:
The total of windows they have cleaned = 12
They have cleaned 12 windows = they earn £ 36.
If they have cleaned 1 window = they earn 36/12 = £3.
So Tom have cleaned 7 windows = Tom earn = 3 * 7 = £21.
Please give me a brainliest answer
i need help my freind mike hawk with his math how do i help him
Answer:
well you got to tell us what we're helping you with!
Step-by-step explanation:
Answer:
Help him understand the topic and give him a few questions to make sure he understands it then let him to do his homework and correct if something is wrong.
Step-by-step explanation:
19. Graph the function 3x + 2y = 8 with the given
domain: (-2,0, 2, 4}
TEK 3C
Justify/Show your work:
Answer:
Step-by-step explanation:
Round each number to the nearest ten 24. 311. 107
Answer:
24-20 311-310 107-110
Step-by-step explanation:
Answer:
nearest tenth
......
24= 20
311=310
107=110..........
How do I solve for this?
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Answer:
angle L = 100 degrees
angle M = 110 degrees
angle N = 70 degrees
angle P = 80 degrees
Step-by-step explanation:
find value of 'x' then substitute into each of the four angle expressions
to find 'x', add all expressions and set them equal to 360 (there are 360 degrees in any four-sided polygon)
2x + 20 + 3x - 10 + 2x - 10 + 2x = 360
combine 'like' terms to get:
9x = 360
x = 40
angle L = 2(40) + 20 = 100 degrees
angle M = 3(40) - 10 = 110 degrees
angle N = 2(40) - 10 = 70 degrees
angle P = 2(40) = 80 degrees
Check:
100 + 110 + 70 + 80 = 360
Write 1 and 1/5 and 1 and 1/3 using a common denominator :)
Answer:
1 3/15
1 5/15
Step-by-step explanation:
그if Ella runs 1 mile Monday and runs 3 miles Tuesday and runs 4 miles Thursday and skipped Wednesday how many miles she run in all ➗ it all up
Ben has 69 planks that are of standard size. He would need 5 such planks to make a bookshelf. Find the maximum number of bookshelves Ben can make.
Answer:
13
Step-by-step explanation:
69/5=13 remainder 4
u cant make a bookshelf with 4 planks
Answer:
13
Step-by-step explanation:
69 total planks divided by 5 for each bookshelf.
That would be 69÷5=13.8
Seeing as you can't make .8 of a shelf, those planks would just be extra.
Drag up the correct symbol to make the following relationships true.
9,100
9,200
42,720
42,650
912
738
Mr. Edwards went to Six Flags and brought $50. He spent $20 on a souvenir and $10 on food. The rest was spent on a refillable drink at $2.50 per refill. How many refills did Mr. Edwards purchase?
Answer:
8 refills
Step-by-step explanation:
Set up an equation. You know that Mr. E spent his entire $50, so you start by making one side 50. Then, you know that the total is the same as the sum of everything purchased, so on the other side, add the souvenir, the food, and the refillable drink term (2.5x, with x being the number of refills, the thing the question is asking for). This gets you an equation of 50 = 20 + 10 + 2.5x. Isolate x by getting the x term by itself. In this case, you subtract 20 and 10 from both sides, leaving you with 20 = 2.5x. Finally, divide both sides by 2.5 to isolate x completely, leaving you with 8 = x, or x = 8. Don't forget your units (:
Answer:
8 refills
And the answer to the comment question is $175 for each iPhone 11
Step-by-step explanation:
Hope this helps :)
Pls mark brainliest :3
And have an amazing day <3
Sienna, Rhys, and Micah are all reading the same book for school. Sienna has read 40% as far as Rhys has, and Rhys has read 40% as far as Micah has. If Sienna has read 60 pages, how many pages has Micah read?
Based on the fact that Sienna has read 60 pages, we can infer that Micha has read 375 pages of the book.
Sienna has read 40% of what Rhys has read and that corresponds to 60 pages. The number of pages read by Rhys is therefore:
= Number of pages / Percentage read
= 60 / 40%
= 150 pages
The 150 pages read by Rhys is 40% of what Micah has read. Micah has therefore read:
= 150 / 40%
= 375 pages
In conclusion, Micah has read 375 pages.
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Which of these is a healthy coping strategy for stress?
A
Writing your thoughts in a journal
B
Not sharing your emotions with anyone
C
Stopping your exercise routine
D
Working very hard without breaks
Answer:
A
writing your thoughts in journal
Find the Value of X given the following
Answer:
10
Step-by-step explanation:
2(x+9)+142=180 corresponding angles are equal and angles on a straight line=180
2(x+9)=180-142
x+9=38/2
x=19-9
x=10
HELP HELP HELP PLS IM BEGGING IM LITERALLY CRYING I DONT UNDERSTAND
x-intercept 1; y-intercept = 2
Answer:
[tex]y = 2x + 2[/tex]
Step-by-step explanation:
The equation of any (non-vertical) line can take the form
y = ax + b where a is the slope and b is the y intercept. We know that in this case, the y intercept is 2. So we can substitute b = 2:
[tex]y = ax + 2.[/tex]
Now, to find the x intercept, simply put y = 0 (since every point on the x axis has y = 0) and x = -1, since that is the given x intercept:
0 = -a + 2, so we see that a = 2. The equation is then:
y = 2x + 2
PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE REPORTED
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 4(1.08)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)
9514 1404 393
Answer:
0 ≤ m ≤ 70.4541 cm/month; average rate of growth over last 4 months of studyStep-by-step explanation:
Part A:
The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...
0 ≤ m ≤ 7
__
Part B:
The y-intercept is the value when m=0. It is the length of the fish at the start of the study.
__
Part C:
The average rate of change on the interval [3, 7] is given by ...
(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)
≈ 0.4541 cm/month
This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.
The sales tax rate is 10%. If Dillion buys a beach umbrella priced at $93, how much tax will he pay
Step-by-step explanation:
90 cents is ur answer i believe
Answer:
9.30$
Step-by-step explanation:
take your number (93$) and multiply it by 10% (.10) which is 9.3, or 9.30$
93 x .10 = 9.3
Hope this helps!
Zach bought his parents anniversary gifts. His dad's present cost $25. He bought his mom 3 presents (p) that all cost the same amount. If he paid a total of $40, how much did each of his mom's gifts cost?
What is the value of p in the equation?
25 + 3p = 40
Answer:
5
Step-by-step explanation:
PLEASE HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS.
Is 5x² + 3x - 3 a monomial, binomial or trinomial?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The number of terms in the given expression is 3, so it is a Trinomial
5x^2 + 3x - 3 is a trinomial.
A monomial is an expression that has one term, such as 3x.
A binomial is an expression that has two terms, such as 4x^2 + 6x or 4x - 6.
A trinomial is an expression that has three terms, such as x^2 + 5x + 6.
Hope this helps!! :)
what is the length of the diagonal of a rectangle with width 3,5 cm and length 4,5 cm give your answer in simplest surd form
Answer:
Step-by-step explanation:
By Pythagoras:
d^2 = (3.5)^2 + (4.5)^2
d^2 = 12.25 + 20.25 = 32.5
d = √32.5
The angle of perspective is important
because
find the second and third terms of each sequence with the information provided
1) 6_ _ 33
2) 17_ _5
if a 280g with 32 pieces chocolate bar contains 20% of fat. How much fat is in 4 pieces?
Answer:
0.8%
Step-by-step explanation:
4*20%=4*(1/5)=4/5=0.8%
geometry! helpopppp!!!!!
What is the square root of 74 rounded to the nearest tenth
The square root of 74 rounded to the nearest tenth is gotten as; 8.6
How to find the Square root of a number?
We want to find the square root of 74.
This square root of 74 is expressed as;
√74
Now, the value of that square root is;
√74 = 8.6023
Now, we want to approximate to the nearest tenth and thus we will have the approximation as; 8.6
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