Plot A(0, 0), B(1, 0), C(1, 2), D(2, 0), and E(2, 4). Then sketch ∆ABC and ∆ADE. By what postulate or theorem could you show that ∆ABC and ∆ADE are similar? A. AA Similarity Postulate B. SAS Similarity Theorem C. SSS Similarity Theorem D. Any of the above could be used to show that the triangles are similar.
Answers
Answer:
1) Please find attached the given plot and sketch of the points created with Microsoft Word
2) The correct option is;
A. AA Similarity Postulate
Step-by-step explanation:
1) Please find attached the given plot and sketch of the points created with Microsoft Word
2) The given parameters are;
The coordinates of the points are A(0, 0), B(1, 0), C(1, 2), D(2, 0) and E(2, 4)
Therefore, we have;
The length of segment AB = 1
The length of segment BC = 2
The length of segment AD = 2
The length of segment DE = 4
Therefore, we have;
∠ABC = ∠ADE = 90°
∠BAC = = artctan(2/1) = ∠DAE = artctan(4/2) = 63.435°
Therefore, ΔABC and ΔADE are similar by AA Similarity Postulate
Related Questions
How can you tell, without multiplying, if the product of three or more integers will be positive or negative?
Answers
Answer:
divide, or write and equation and solve it
Step-by-step explanation:
Part B: A triangle has vertices A (-2, 3), B (0, 0), and C (1, 2). What are the coordinates of the vertices if the original triangle is dilated by a scale factor of 3 and then reflected over the x-axis?
Answers
Answer:
(-6,-9) , (0,0) and (3,-6)
Step-by-step explanation:
Here, we want to find new coordinates after dilating by 3 and reflecting over x-axis
By dilating by a factor of 3, we multiply each term by 3
We have the following;
A’(-6,9) B’(0,0) and C’ (3,6)
Now if we want to reflect the point (x,y) over x-axis, what we shall have is (x,-y)
So the vertices will be as follows;
(-6,-9) , (0,0) and (3,-6)
Jenny earned 110 of a possible 148 points on a test. She lost 2 points for each incorrect answer. How many incorrect answers did she have?
Answers
Answer: She had 19 incorrect answers
Step-by-step explanation:
n = number of incorrect answers at 4 points per answer
110 = 148 - 2n
Solve for n
n = (148 - 110)/2 = 19
1.
Divide:
x+3x+2 x +4x+4
x+1 x + 5x+4
Answers
Answer:
x
4
−5x
2
+4
To factor the expression, solve the equation where it equals to 0.
x
4
−5x
2
+4=0
By Rational Root Theorem, all rational roots of a polynomial are in the form
q
p
, where p divides the constant term 4 and q divides the leading coefficient 1. List all candidates
q
p
.
±4,±2,±1
Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.
x=1
By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x
4
−5x
2
+4 by x−1 to get x
3
+x
2
−4x−4. To factor the result, solve the equation where it equals to 0.
x
3
+x
2
−4x−4=0
By Rational Root Theorem, all rational roots of a polynomial are in the form
q
p
, where p divides the constant term −4 and q divides the leading coefficient 1. List all candidates
q
p
.
±4,±2,±1
Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.
x=−1
By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x
3
+x
2
−4x−4 by x+1 to get x
2
−4. To factor the result, solve the equation where it equals to 0.
x
2
−4=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. Substitute 1 for a, 0 for b, and −4 for c in the quadratic formula.
x=
2
0±
0
2
−4×1(−4)
Do the calculations.
x=
2
0±4
Solve the equation x
2
−4=0 when ± is plus and when ± is minus.
x=−2
x=2
Rewrite the factored expression using the obtained roots.
(x−2)(x−1)(x+1)(x+2)
Find the perimeter of the figure.
Answers
Answer:
17x-3
Step-by-step explanation:
6x+9 + 3x-2 = 9x+7
2(4x-5) = 8x-10
9x+7 + 8x-10 = 17x-3
Answer:
Step-by-step explanation:
Answer:
17x-3
Step-by-step explanation:
6x+9 + 3x-2 = 9x+7
2(4x-5) = 8x-10
9x+7 + 8x-10 = 17x-3
"If three angles and two sides of two triangles are congruent, are the triangles congruent? Why or why not?"
Answers
Answer:
yes
Step-by-step explanation:
because the corresponding angles are congruent, the triangles are congruent through CPCTC. If two sides are congruent and an included angle, then the triangles are congruent through the SAS postulate. And if two sides and a non-included angle are congruent then the triangles are congruent through the AAS postulate. Any way of looking at this proves congruency through various postulates, therefore the trianlges are congruent.
Please Help me :)))))))))))
Answers
Answer:
35
Step-by-step explanation:
if GFL = 34 and GEL = 36 FLG would be 35
What is the imagine point of (-1,-5) after a translation left 1 unit and up 4 units?
Answers
Answer:
-2, -1
Step-by-step explanation:
So moving left would affect the x-axis.
Left would move it to the negatives so -1 - 1 = -2.
Moving up would affect the y-axis.
Up would move towards the positive so -5 + 4 = -1.
-2, -1
the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p
Answers
Answer:
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The system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the rates for two duplicating companies. There are two different rates as-
[1] > initial fee of $5 and $0.06 per page.
[2] > initial fee of $10.00 and $0.04 per page.
For the [1] company, we can write the equation as -
C[1] = 5 + 0.06x
For the [2] company, we can write the equation as -
C[2] = 10 + 0.04x
So, the system of equations will be -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
Therefore, the system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
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Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y
PLSS SHOW YOUR WORK PLSSS
Answers
Marcella and Juan are baking brownies. The recipe lists
2/3 cup of flour. They
only have 2/3
cup of flour left.
How many more cups of flour do they need to
bake the brownies?
Answers
Answer:
0
Step-by-step explanation:
2/3 - 2/3 = 0/3 = 0
What is the equation for the line in slope-intercept form? Enter your answer in the box.
Answers
Answer: y=-4x+5
Step-by-step explanation:
Answer:
y=-4x+5
Step-by-step explanation:
1. Find the slope by counting downward and over from one point to another point. Let's start from (-2,13) and go down to (0,5)
If you are worried about miscounting, you could also use the slope formula which is y2-y1/x2-x1
5-13/0--2
= -8/2
The slope is -4.
2. FInd where the line crosses the y-axis to get the y-intercept. Here it crosses it at 5.
3. Write the equation on slope-intercept form, which is y=mx+b where mx represents the slope and b represents the y-intercept.
y=-4x+5
I need help any help is appreciated please
Answers
Answer:
third option both cost the same after 2 months
6. A rectangle has a length of (x + 2) and a width of (3x
an expression in simplest form for the perimeter of the rectangle,
Pleaseee urgent!! Thank youuu
Answers
x + 2 + x + 2 + 3x + 3x = 8x + 4
HELP ME THIS IS SO CONFUSING
Answers
Answer:
365 degrees :)
Step-by-step explanation:
It's a multiple of 5, but with no zeros, so that means the ones place is 5. The hundreds place is two less than 5, so that's 3. And the tens place is two times the 3, so that gives you 365!
Answer: 365
Step-by-step explanation: hope this helps bud
Wendy tasted 12 desserts from each bakery in her county. Each bakery has an equal number of desserts.
Is this sample of the desserts from the county's bakeries likely to be representative?
Answers
It is difficult to determine whether the sample of desserts that Wendy tasted is representative of all desserts from the county's bakeries without additional information.
First, it depends on the total number of bakeries in the county. If there are only a few bakeries, Wendy's sample of 12 desserts from each bakery may not be enough to accurately represent all the desserts in the county. On the other hand, if there are many bakeries, and Wendy tasted 12 desserts from each one, then her sample may be more representative.
Secondly, it is important to consider how the bakeries were selected. If Wendy only tasted desserts from certain types of bakeries or only in certain areas of the county, her sample may not be representative of all the county's bakeries.
Therefore, without more information on the total number of bakeries in the county and the selection process, it is difficult to determine whether Wendy's sample of desserts is representative of all the desserts from the county's bakeries.
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Find the slope of a line with a y-intercept of -5 that goes through the point (12,3).
Formula: y=mx+b
Answers
y=2/3x-5
Simplify.
6y + 5y
Please help me!!!!!!!
Answers
Answer:
11y
Step-by-step explanation:
The answer is 11y because is kinda like adding. You add 6 + 5 which is 11 and then you just convert the y so its 11y
Kendra washes windows in an office building. She washes 25 2 5 of the windows on Monday. She washes 13 1 3 of the windows on Tuesday. What fraction of the windows remain for Kendra to wash?
Answers
I think you mean 2/5 and not 25 for Monday and 1/3 and not 13 on Tuesday. So i will solve with the fraction.
Answer: The fraction of the windows remaining for Kendra to wash=4/15
Step-by-step explanation:
Step 1
The fraction of windows washed on Monday = 2/5
The fraction of windows washed on Tuesday= 1/3
Fraction remaining to be washed = Total windows - Fraction already washed
Step 255
Fraction already washed=2/5 + 1/3 =6+ 5/15 = 11/15
The total numbers of windows in the office will be represented as 1 whole number since we are dealing with fractions such that the
Fraction remaining to be washed = 1- Fraction already washed
= 1- 11/15 = 15/15-11/15= 4/15
Answer:
Step-by-step explanation:
I need help please #23
Answers
Answer:
24
Step-by-step explanation:
8%=8/100
& 8/100 of 60=4.8 ( "of" in mathematic means "multiply")
check if you get 4.8 by multiplying each of the given options by 1/5
1/5 0f 24=4.8
So 24 will be the ans
.Write the following number in expanded form using powers of 10: 67.938
Answers
Answer:
67.938 =
(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)
Step-by-step explanation:
Here, we want to write the given number in expanded form
Mathematically that will be ;
60 + 7 + 0.9 + 0.03 + 0.008
Using the power of 10, that will be;
(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)
Which graph shows 3x - y = 1?
Answers
Answer:
The graph below shows the graph of 3x - y = 1.
Hope this helps! :)
Expand and simplify
1: (2 ) a) 9( 3 – 10n ) -3 ( 10n + 1 )
Answers
Answer:
Hope it can help you .......
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In the supermarket, there were 434 boxes of cereal, 285 gallons of milk, and 176 cans of orange juice. About how many
breakfast items were there? Use rounding to the nearest hundred to estimate the total number of breakfast items.
Answers
Answer:
900
Step-by-step explanation:
434+285+176 is 895,895 to the nearest hundred is 900
what is an equivalent fraction to 9/28 ?
Answers
Answer:
18/56
Step-by-step explanation:
Answer:
18/56
Step-by-step explanation:
9/28= 18/56
for the top 1 I multiplied the numerator and denominator by 2 and then when you simplify it you get 9/28
Bob’s monthly phone bill is made up of a $10 fee plus $0.05 per minute. Bob’s phone bill for July was $22. Write an equation to model the situation using m to represent the number of minutes. Solve the equation to determine the number of phone minutes Bob used in July.
Answers
Answer:
equation: 10 + 0.05x=22
Step-by-step explanation:
the next step after writing the equation would be to subtract 10 from both sides to get 0.05x=12. after this you would then have to divide 12 by 0.05 to get 240 minutes. you could check it by putting 240 in for x to get 10+0.05(240)=22. you would then multiply 0.05 by 240 to get 12 and then add 10 onto it to get 22 which was already given.
9514 1404 393
Answer:
equation: 10 +0.05m = 22
solution: Bob used 240 minutes in July
Step-by-step explanation:
Bob's bill is the total of the fixed fee and the charges based on minutes. The latter is 0.05m, where m is the number of minutes. Hence, Bob's July bill is ...
10 + 0.05m = 22 . . . . . total of charges for July is $22
__
The equation is solved by subtracting the constant and dividing by the coefficient of m.
0.05m = 12 . . . . . subtract 10
m = 12/0.05 = 240
Bob used 240 minutes in July.
1.) What is the maximum number of zeros for the following function
f(x) = x - 2x2 - 11x + 12
Answers
Answer:
-14x+12
Step-by-step explanation
f(x)=-14
EASY POINTS FOR Y'ALL!!!!!!
Answers
Answer:B
Step-by-step explanation:
Answer:
D, is the correct answer!!
Step-by-step explanation:
select Yes or No to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the graph
Answers
Answer:
(-1, 4)
Step-by-step explanation:
From the graph we see that;
At x = 0, y has a value of 1
At x = 2, y has a value of 1
At x = 1, y has a value of 0
At x = -1, y has a value of 4
Looking at the given options, the only ordered pair that corresponds to a correct reading on the graph as earlier observed is; (-1, 4)
Answer:
no
no
yes
Step-by-step explanation:
8n - 32 + 5m + 33 - 3
Answers
8n - 32 + 5m + 33 - 3
8n-32+5m+30
8n-32+30+5m ( rearranging)
8n-2+5m
answer:
5m+8n-2 or 8n+5m-2
Answer:
[tex]8n+5m-2[/tex]
Step-by-step explanation:
Simplify the expression by combining like terms:
[tex]-32+33-3\\\\1-3\\\\-2[/tex]
Insert:
[tex]8n+5m-2[/tex]
:Done