Help please!!
The triangles are similar by:
the SAS similarity theorem.
the ASA similarity theorem.
the AA similarity postulate.
None of the choices are correct.
the SSS similarity theorem.
Answers
Related Questions
if angle ACB = angle DCD, angle BAC = 3x-10, angle ECD= 45degrees, and angle EDC = 2x+10 wgat is x
Answers
Answer:
x = 20
Step-by-step explanation:
3x -10 = 2x +10
x = 20
Find the standard deviation of the following data. Round your answer to one decimal place. x 0 1 2 3 4 5 P(X
Answers
Answer:
[tex]\sigma = 1.8[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} \ \\ P(x) & {0.2} & {0.1} & {0.1} & {0.2} & {0.2}& {0.2} \ \end{array}[/tex]
Required
The standard deviation
First, calculate the expected value E(x)
[tex]E(x) = \sum x * P(x)[/tex]
So, we have:
[tex]E(x) = 0 * 0.2 + 1 * 0.1 + 2 * 0.1 + 3 * 0.2 + 4 * 0.2 + 5 * 0.2[/tex]
[tex]E(x) = 2.7[/tex]
Next, calculate E(x^2)
[tex]E(x^2) = \sum x^2 * P(x)[/tex]
So, we have:
[tex]E(x^2) = 0^2 * 0.2 + 1^2 * 0.1 + 2^2 * 0.1 + 3^2 * 0.2 + 4^2 * 0.2 + 5^2 * 0.2[/tex]
[tex]E(x^2) = 10.5[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{E(x^2) - (E(x))^2}[/tex]
[tex]\sigma = \sqrt{10.5 - 2.7^2}[/tex]
[tex]\sigma = \sqrt{10.5 - 7.29}[/tex]
[tex]\sigma = \sqrt{3.21}[/tex]
[tex]\sigma = 1.8[/tex] --- approximated
sets A and B have 3 and 6 elements respectively. what can be the minimum number of elements in AUB
Answers
Answer:
6
Step-by-step explanation:
n(AUB) = n(A) + n(B) - n(AnB)
n(AUB) can have the minimum number of elements if n(AnB) has the maximum number of elements.
n(AnB) maximum = 3
so n(AUB) = 3+6-3 = 6
Find a linear function that models the cost, C, to produce x toys given the rate of change and initial output value. The cost to produce plastic toys increases by 90 cents per toy produced. The fixed cost is 40 dollars. C(x) = dollars Write a linear model for the amount of usable fabric sheeting, F, manufactured in t minutes given the rate of change and initial output value. Fabric sheeting is manufactured on a loom at 7.25 square feet per minute. The first five square feet of the fabric is unusable. F(t) = ft^2 is the amount of usable fabric sheeting manufactured in t minutes.
Answers
Answer:
C(x) = $40 + 0.9x
F(t) = 7.25t - 5
Step-by-step explanation:
Given that :
C(x) = Cost model to produce x toys
Fixed cost of production = $40
Rate of change = 90 cent per toy produced.
A linear model will take the form :
F(x) = bx + c ;
Where ; b = rate of change or slope ; c = intercept or initial value
Therefore, a linear cost model will be :
Cost model to produce x toys = fixed cost + (rate of change * number of toys)
C(x) = $40 + 0.9x
2.)
F(t) = amount of usable factory sheets manufactured in t minutes :
Rate of production = 7.25 ft² / minute
Number of unusable fabric sheeting = 5 ft²
The function, F(t) :
F(t) = 7.25t - 5
Please help me as soon as possible
Answers
Answer:
I think the choose (B)
5x/x + 3/x
Answer:
I thinkchoose no.3
5x+3
5x+3x
prove this qns plzz
Answers
Answer:
L.H.S.
= (cos5a.sin2a-cos4a.sin3a)/ (sin5a.sin2a-cos4a.cos3a)
Multiply numerator and denominator by 2.
= 2(cos5a.sin2a - cos4a.sin3a) / 2(sin5a.sin2a - cos4a.cos3a)
= (2cos5a.sin2a - 2cos4a.sin3a)/
(2sin5a.sin2a - 2cos4a.cos3a) = [sin(5a+2a)-sin(5a-2a)-sin(4a+3a)
+sin(4a-3a)]/[cos(5a-2a)-cos(5a+2a)-sin(4a-3a) +cos(4a+3a)]
= (sina - sin3a)/(cso3a-cosa)
= (-2cos2a.sina)/(-2sin2a.sina)
= cos2a/sin2a
= cot2a
= R.H.S.
answer is in a picture have a look
How would the fraction [tex]\frac{7}{1-\sqrt{5} }[/tex] be rewritten if its denominator is rationalized using difference of squares?
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Answer:
[tex] \frac{7 + 7 \sqrt{5} }{ - 4} [/tex]
Step-by-step explanation:
We would multiply the fraction by its conjugate
( A conjugate is a expression that has the same integer or number values but have different signs) for example
[tex]5x + 2[/tex]
and
[tex]5x - 2[/tex]
ARE Conjugates.
The conjugate of
[tex]1 - \sqrt{5} [/tex]
is
[tex]1 + \sqrt{5} [/tex]
So this means we will multiply the expression by 1 plus sqr root of 5 on the numerator and denominator.
Our new numerator will be
[tex]7 \times (1 + \sqrt{5} ) = 7 + 7 \sqrt{5} [/tex]
We can apply the difference of squares for the denominator.
[tex](x + y)(x - y) = x {}^{2} - {y}^{2} [/tex]
So our denominator will be
[tex]1 - 5 = - 4[/tex]
So our rationalized fraction will be
[tex] \frac{7 + 7 \sqrt{5} }{ - 4} [/tex]
Need help on this problem
Answers
Answer:
Step-by-step explanation:
[tex]2(x-2)^2=8(7+y)\\2(x-2)^2=56+8y \Rightarrow y={1\over{8}}[2(x-2)^2-56]={1\over{4}}(x-2)^2-7\\finally\\y={1\over{4}}(x-2)^2-7\\let ~change~x~and~y\\x={1\over{4}}(y-2)^2-7\\x+7={1\over{4}}(y-2)^2\\4(x+7)=(y-2)^2\\y-2=\pm\sqrt{4(x+7)}\\\\y=2\pm\sqrt{4x+28}[/tex]
Find the values of x for which the denominator is equal to zero for y=x^2/x^2+1 .
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Answer:
Step-by-step explanation:
I assume that you mean y = x²/(x²+1), not y = x²/x²+1.
x²+1 = 0
x² = -1
x = ±√(-1) = ±i
deleted: deleted by user
The original price of a set lunch was 30 dollars. It is now sold at a 20%
discount. There is an extra discount of 10% for students. How much
should a student pay to order a set lunch?
Answers
20% + 10% = 30%
30/100 x 30 = 9 dollars
30 - 9 = 21 dollars (Final answer)
30 - 6 = $24
10% of $24 = $2.40
24 - 2.40 = $21.60 cost of student lunch
You have to do each percent separate to get the cost.
If you just take 30% off from the original cost of $30 it will be the wrong answer.
7. Draw an equilateral triangle of side 6.5 cm and after locating its circumcentre. Draw its circumcircle. send it with image
Answers
Answer:
Step-by-step explanation:
A circumcircle can be referred to as a circumscribed circle to a triangle. The steps to follow is stated below:
i. Since the triangle is equilateral, draw the triangle with sides 6.5 cm
ii. Bisect any of its two sides. The two bisecting lines would intersect at center, O, of the triangle.
iii. With the center and either radius OA, OB or OC, draw a circumscribed circle to the triangle.
The construction is attached to this answer for clarifications.
IN Ohio, I-75 and I-80 intersect at right angles. What type of lines do I-75 and I-80 form?
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Answer:
Step-by-step explanation:
Interesting question
They form at right angles. The reason is the highways meet at right angles is that the United States does something really interesting and well thought out with its highway system.
The odd numbers run North and South
The even numbers run East and West.
So I-75 runs North and South
I-80 runs East and West.
They will, when they meet, form a right angle. This works for the interstates, but there a system for the intrastates as well.
I wish Canada would do something like that.
The number of users of a certain website (in millions) from 2004 through 2011 follows:
Year Period Users (Millions)
2004 1 1
2005 2 5
2006 3 11
2007 4 58
2008 5 145
2009 6 359
2010 7 607
2011 8 846
Using Minitab or Excel, develop a quadratic trend equation that can be used to forecast users (in millions). (Round your numerical values to one decimal place.)
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Answer:
y = 26.3x² - 116.9x + 109.6
Step-by-step explanation:
Given the data ;
Year Period Users (Millions)
2004 1 1
2005 2 5
2006 3 11
2007 4 58
2008 5 145
2009 6 359
2010 7 607
2011 8 846
A quadratic regression model can be obtained using a quadratic regression calculator ; The quadratic regression modeled obtained is in the form :
y = Ax² + Bx + C
y = 26.3x² - 116.9x + 109.6
What are the slope and the y-intercept of the linear function that is represented by the graph?
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Answer:
The slope is -3/4 because it rises goes down 3 and runs 4. the Y-intercept or where the line meets the y line is 3.
The area of a rectangle is 110 square units. Its length measures 11 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.
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Answer:
A
=
w
l
d
=
w
2
+
l
2
Solving for
d
d
=
l
2
+
(
A
l
)
2
=
11
2
+
(
110
11
)
2
≈
14.86607
The length of the diagonal of the rectangle is 14.9 units.
What is a diagonal?A diagonal is the longest line that divides a plane shape into two halves.
To calculate the diagonal of the rectangle, we use Pythagoras theorem.
Formula:
A = lw.............. Equation 1Where:
A = Area of the rectanglel = Length of the rectanglew = width of the rectangle.make w the subject of the equation
w = A/l.............. Equation 2From the question,
Given:
A = 110 square unitsl = 11 unitsSubstitute these values into equation 2
w = 110/11w = 10 units.Finally, to calculate the diagonal of the rectangle, we use the formula below
d² = l²+w²............. Equation 3Given:
w = 10 unitsl = 11 units.Substitute these values into equation 3
d² = 10²+11²d² = 100+121d² = 221d = √221d = 14.9 units.Hence, the length of the diagonal of the rectangle is 14.9 units.
Learn more about diagonal here: https://brainly.com/question/654982
#SPJ2
PLEASE HELP!!! What is the domain of D(t) as it applies in this situation?!?!
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Answer:
This Question Is From The Novel Of The Fantastic Mr.Fox
Q. Boggis , Bunce and Bean are Offering a reward for Mr.Fox , They are tired of Losing Chickens Geese and Cider , Create a Description And Drawing of Mr.Fox to allow him to be captured , use the word bank....
________________________________
Swift | Slay | Ginger | Rough | Fast
Thief. | Clever | Fur | Tail | Wife | Night
Cunning | Bushy | wiry | bush | Den | trick
________________________________
Find the area of the irregular figure. Round to the nearest hundredth.
Answers
Answer:
[tex]67.5\text{ [square units]}[/tex]
Step-by-step explanation:
The composite figure consists of one rectangle and two triangles. We can add up the area of these individual shapes to find the total area of the irregular figure.
Formulas:
Area of rectangle with base [tex]b[/tex] and height [tex]h[/tex]: [tex]A=bh[/tex] Area of triangle with base [tex]b[/tex] and height [tex]h[/tex]: [tex]A=\frac{1}{2}bh[/tex]By definition, the base and height must intersect at a 90 degree angle.
The rectangle has a base of 10 and a height of 5. Therefore, its area is [tex]A=10\cdot 5=50[/tex].
The smaller triangle to the left of the rectangle has a base of 2 and a height of 5. Therefore, its area is [tex]A=\frac{1}{2}\cdot 2\cdot 5=5[/tex].
Finally, the larger triangle on top of the rectangle has a base of 5 and a height of 5. Therefore, its area is [tex]A=\frac{1}{2}\cdot 5\cdot 5=12.5[/tex].
Thus, the area of the total irregular figure is:
[tex]50+5+12.5=\boxed{67.5\text{ [square units]}}[/tex]
The value of Tonya's car is $21,000. The car's value depreciates at a rate of 15% per year.
Which function represents the value of the car after t years?
f(t)=0.85(21,000)t
f(t)=1.15(21,000)t
f(t)=21,000(0.85)t
f(t)=21,000(1.15)t
Answers
9514 1404 393
Answer:
(c) f(t)=21,000(0.85)^t
Step-by-step explanation:
Each year, the value is multiplied by 1-15% = 85% = 0.85. This is correctly shown in the function ...
f(t)=21,000(0.85)^t
Find f(4),f(0),f(-1) & f(x)=6x-7
Answers
Answer:
f(4) = 31
f(0) = 7
f(-1) = 1
Step-by-step explanation:
f(x) = 6x + 7
f(4) = 6(4) + 7
f(4) = 24 + 7
f(4) = 31
f(0) = 6(0) + 7
f(0) = 0 + 7
f(0) = 7
f(-1) = 6(-1) + 7
f(-1) = -6 + 7
f(-1) = 1
At any point in time, there could be bicycles, tricycles, and
cars in the school parking lot. Today, there are 53 wheels in
total.
If there are 15 bicycles, tricycles,
and cars in total, how many
tricycles could be in the parking lot? List all possible answers.
Answers
Answer:
There may be 1 or 3 tricycles in the parking lot.
Step-by-step explanation:
Since at any point in time, there could be bicycles, tricycles, and cars in the school parking lot, and today, there are 53 wheels in total, if there are 15 bicycles, tricycles, and cars in total, to determine how many tricycles could be in the parking lot, the following calculation must be performed:
13 x 4 + 1 x 3 + 1 x 2 = 57
11 x 4 + 1 x 3 + 3 x 2 = 53
10 x 4 + 3 x 3 + 2 x 2 = 53
8 x 4 + 5 x 3 + 2 x 2 = 51
10 x 2 + 1 x 3 + 4 x 4 = 39
9 x 3 + 1 x 2 + 5 x 4 = 49
Therefore, there may be 1 or 3 tricycles in the parking lot.
A woman had 88 goats.20 of them died.how many did he remains with.
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Answer:
68 i think..........
Step-by-step explanation:
(⌒_⌒;)
HOW DO YOU SOLVE THIS PROBLEM
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x = 100° (using definition of vertical angles)
2/3 - 10/9and5/3 and 7/9
Answers
Step-by-step explanation:
always Pythagoras with the coordinate differences as sides and the distance the Hypotenuse.
c² = (2/3 - 5/3)² + (-10/9 - -7/9)² = (-3/3)² + (-10/9 + 7/9)² =
= (-1)² + (-3/9)² = 1 + (-1/3)² = 1 + 1/9 = 10/9
c = sqrt(10)/3
Answer:
Step-by-step explanation:
Point 1 ([tex]\frac{2}{3}[/tex] , [tex]\frac{-10}{9}[/tex]) in the form (x1,y1)
Point 2 ( [tex]\frac{5}{3}[/tex] , [tex]\frac{-7}{9}[/tex]) in the form (x2,y2)
use the distance formula
dist = sqrt[ (x2-x1)^2 + (y2-y1)^2 ]
dist = sqrt [ [tex]\frac{5}{3}[/tex] -[tex]\frac{2}{3}[/tex])^2 + ( [tex]\frac{-7}{9}[/tex] - ( [tex]\frac{-10}{9}[/tex] ) )^2 ]
dist = sqrt [ ([tex]\frac{3}{3}[/tex])^2 + ([tex]\frac{3}{9}[/tex])^2 ]
dist = sqrt [ 1 + ([tex]\frac{1}{3}[/tex])^2 ]
dist = sqrt [ [tex]\frac{9}{9}[/tex] + [tex]\frac{1}{9}[/tex] ]
dist = [tex]\sqrt{\frac{10}{9} }[/tex]
dist = [tex]\sqrt{10}[/tex] *[tex]\sqrt{\frac{1}{9} }[/tex]
dist = [tex]\sqrt{10}[/tex] * [tex]\frac{1}{3}[/tex]
dist = [tex]\frac{\sqrt{10} }{3}[/tex]
What is the area of area of 7 meters, 15 meters and 9 meters?
Answers
Answer:
10
Step-by-step explanation:
10-7 do it yourself and don't vheat
What table represents g(x) = -2•f when f(x) = x + 4
Answers
Answer:
-2 is the answer.
Step-by-step explanation:
#CarryOnLearning
1. 650 - 700 - 800 = ?
2. 25 - 45 + 23 ＝?
Answers
carry on learning
Answer:
- 850
3
Step-by-step explanation:
650 - 700 - 800
650 - 1500
- 850
25 - 45 + 23
- 20 + 23
3
Find the least positive integer, written only by numbers 0, 1 and 2, which is divisible by 225.
Answers
9514 1404 393
Answer:
1,222,200
Step-by-step explanation:
A search using a computer program found ...
5432 × 225 = 1,222,200
__
1000 mod 225 = 100
4 × 225 = 900
This suggests that if we have some number of thousands whose digits total 9, that we will have the number of interest. Of course, we can add 200 to some number of thousands with a digit total of 7. The smallest such digit total will be had with the number 1222 using the specified digits {0, 1, 2}. This gives rise to the result above: 1222×1000 +200 = 1,222,200. It also explains why moving the 1 to the right will also give a multiple of 225.
a total of 678 tickets were sold for the school play. They were either adult tickets or student tickets. there were 72 fewer student tickets sold than adult tickets. how many adult tickets were sold
Answers
Step-by-step explanation:
678-72=606/2=303+72=375
Can someone please answer this
Answers
Answer:
Tisco: 12 for £5.16
Azda: 12 for £5.04
Azda has the better value.
Step-by-step explanation:
Tisco: 3 for £1.29
Multiply both numbers by 4.
12 for £5.16
Azda:
4 for £1.68
Multiply both numbers by 3.
12 for £5.04
Azda has the better value.
21.Factorize : x² +10x+21
22.Factorize: x² -2x-35
23.Solve : 2x+28 = 9x-56
Answers
Step-by-step explanation:
21.
x²+10x+21x²+3x+7x+21x(x+3)+7(x+3)(x+3)(x+7)22.
x²-2x-35x²-5x+7x-35x(x-5)+7(x-5)(x-5)(x+7)23.
2x+28=9x-5628+56=9x-2x84=7xx=84/7x=12hope it helps
stay safe healthy and happy..Answer:
21. (x+7)(x+3)
22. (x-7)(x+3)
23. 12
Step-by-step explanation:
X^2+10x+21
(X+7)(x+3)
(We know that 7*3 is equal to 21 and that 7+3= 10)
Now try the same thing for 22.
(X-7)(X+5)
(-7*5= -35 . and -7+5=-2)
23. Use SPOE to get like terms to one side:
-7x=-84
Then use DPOE to find the value of X
x=12
