Three students are debating about whether Quadrilateral ABCD is similar to Quadrilateral EFGH. Read each statement below and decide who has the best argument. Justify you reasoning.
a) Justin says “they are definitely similar because they both have 90 oangles, so all the corresponding angles are congruent”.
b) CeCe says “the corresponding angles are congruent and both bases are in the ratio of 2:1 and both altitudes are in the ratio of 3:1 so the quadrilaterals must be similar”.
c) Maria says “The angles are congruent, but the ratio of the bases must be in the same as the ratio of the altitudes. Since one pair is in the ratio of 2:1 and the other pair is in the ratio of 3:1, the quadrilaterals cannot be similar”.
Answers
Answer: C
Step-by-step explanation:
Because she is stating the angles which are congruent and the ratio are not the same altitude. Which is 2;1 and 3;1 and its not similar' Undefined
Related Questions
Simplify this expression
√108
Answers
Answer:
6√3
Step-by-step explanation:
simplify (1/5k)^2;uiovpvuylc gjlcgj
Answers
Answer:
i want points lol
A bicycle was reduced by 20%. The reduced price was £100. What was the original price?
Answers
Answer:
£125
Step-by-step explanation:
Let the original price be x
Reduction = 20%
Price after reduction = (100 - 20)% = 80%
80% of x = £ 100
[tex]\frac{80}{100}x = 100\\\\x=100*\frac{100}{80}\\\\[/tex]
x = 125
Original price = £125
A jury pool consists of 35 people, 17 men and 18 women. Compute the probability that a randomly selected jury of 12 people is all male.
Answers
Answer:
17/35
Step-by-step explanation:
Prob.
=DC/SS(desired chance/sample space)
=17/35
Which of the following sets of numbers could represent side
lengths of a right triangle?
Select one:
15 cm, 18 cm. 33 cm
15 cm, 20 cm, 25 cm
15 cm, 16 cm, 17 cm
15 cm, 15 cm, 18 cm
Answers
9514 1404 393
Answer:
(b) 15 cm, 20 cm, 25 cm
Step-by-step explanation:
Because you know that the triple (3, 4, 5) is a Pythagorean triple, you know that every multiple of it will also give side lengths of a right triangle. Multiplying that triple by 5 gives (15, 20, 25), matching the 2nd choice on the list.
__
Comments on other choices
You also know that (3, 4, 5) is the only Pythagorean triple that has constant differences, so 15, 16, 17 cannot be a right triangle. (It is very nearly an equilateral triangle.)
A right triangle with same-length sides will have a hypotenuse that is √2 times that length, so no right triangle will have two equal integer legs and an integer hypotenuse.
The lengths 15, 18, 33 form a straight line, not even a triangle.
__
For those who insist on seeing an equation:
15^2 +20^2 = 225 +400 = 625 = 25^2 . . . 15, 20, 25 will form a right triangle
please i need your help!
Answers
Answer:
$104,912.76
Step-by-step explanation:
You will need to pay $603.92 every month for 30 years to payoff the debt.
Monthly Payment$603.92
Time to Pay Clear30.00 years
Total of 360 Payments$217,412.76
Total Interest$104,912.76
(Credits to ElectricPavlov)
Simplify (3x^2+5x) + (6x-6x^2+2)
Answers
Answer:
-3x^2+11x+2
Step-by-step explanation:
hope this helps!
Which equation represents the graphed function?
O y = 4x - 2
O y = -4x - 2
Oy = -x-2
O y=-x-2
Answers
9514 1404 393
Answer:
y = 1/4x -2
Step-by-step explanation:
The line rises one unit from -2 to -1 as x changes from 0 to 4. The slope is ...
m = rise/run = 1/4
The y-intercept (b) is where the line crosses the y-axis, at y = -2.
The equation in slope-intercept form is ...
y = mx + b
y = 1/4x -2
The number of registered vehicles on the road in a country is constantly increasing. In 2009, there were approximately 220 million registered vehicles. This represents a
2% increase over 2002. How many registered vehicles were there in the country in 2002?
Answers
Answer:
10000
Step-by-step explanation:
Which sequence of transformation can be used to map parallelogram K l m n onto parallelogram k l m n
Answers
Answer:
I need to see it first please
Convert to the given unit. 42 in. = ______ ft
Answers
Answer:
There are 12 inches in a foot 42/12(ft)Answer:
3.5
Step-by-step explanation:
42/12=3.5
Kelly uses point p to represent the sum of 3.6 +(-2.4) on the number line.
3.6 + (-2.4) = p
Kelly says that point pis plotted to the right of both 3.6 and -2.4 on the number line because addition means you should move right on the
number line.
• Explain why Kelly's reasoning is incorrect.
• Explain how the location of p on the number line is related to the locations of 3.6 and -2,4 on the number line.
Determine the value of point p.
Enter your explanations and your answer in the box provided.
Answers
Answer:
Kelly is incorrect because she added the two numbers on the number line that made no since.
If Kelly had worked through the problem
P would have equaled 1.2
3.6+(-2.4) = 1.2 which is what p equals
The value of P is 1.2
The value of p is 1.2.
What is an absolute value?Absolute value of a number is the distance value from zero without considering sign of a number. It is also represented as |x|, where x is any number.
Given that the expression, 3.6 + (-2.4) = p
To find the value of p,
3.6 + (-2.4) = p
p = 1.2
Relation of p in number line with -2.4 and 3.6 ;
p = 1.2 in the number line is right side of -2.4 and left side of 3.6.
Whenever we add the positive numbers we get the sum of the number in the right side of both the positive number.
And whenever we add the negative numbers we get the sum of the number in left side of both of the negative number.
And when we add the positive and negative number then if
1) positive number > absolute value of negative number then sum of the numbers will be in the middle of the both number.
And 2) if positive number < absolute value of negative number then the sum of the numbers will be in the middle of both of the number.
Therefore the value of p is 1.2.
To learn more about the absolute value;
https://brainly.com/question/1301718
#SPJ2
PLEASE HELP MEAN A LOT I WILL GIVE BRAINLIEST
Answers
Answer:
Kim should'nt have put 2 because y would be bigger than 2
by-step explanation:
HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP
what pattern can be seen on the graph?
Answers
Answer:
Lanier Lanier mean a stright line
a straight one.........................................................
What is 29 to the power of x to the power of 15
Answers
Answer:
29 to the power of 15x
Step-by-step explanation:
Rules of exponents:
Multiply exponents.
15*x=15x
Therefore 29 to the power of 15x
Complete the table for the given rule.
Rule: y=2x
Answers
Answer:
x y
9 18
5 10
1 2
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
The first column is 5 and the second will be 18 and 2 .
Step-by-step explanation:
You only have to substitute the values into the equation :
let x = 9,
y = 2(9)
y = 18
let y = 10,
10 = 2(x)
x = 5
let x = 1,
y = 2(1)
y = 2
Please answer the attached question with explaination
Answers
Answer:
larpeiohgan a hag saasa:
Answer:
4 leaps
Step-by-step explanation:
(1 - aⁿ) / (1 - a) = 300 / 160 = 15/8 a = 1/2
(1 - (1/2)ⁿ) / (1 - 1/2) = 15/8
1 - (1/2)ⁿ = 15/16
(1/2)ⁿ = 1/16
n = 4
check: 1st leap: 160
2nd leap: 80
3rd leap: 40
4th leap: 20
160+80+40+20 = 300
Jermaine is saving $60 per week for a new guitar. The amount he has saved, s, is represented by
the function S = 60w, where w is the number of weeks he has been saving. Which is a true
statement?
A The number of weeks Jermaine saved depends on the amount he saves each week.
B The cost of the guitar depends on the amount Jermaine saves each week.
C The amount of money saved depends on the cost of the guitar.
D The amount of money saved depends on the number of weeks Jermaine has saved.
Option' A
Option B
Option C
Option D
Answers
Answer:
D
Step-by-step explanation:
34.25 times what equal 342.5
Answers
Answer:
10 probably
Step-by-step explanation:
it looks like a multiple of 10 since decimal just moved 1 place. I'm no expert
Answer:
10
Step-by-step explanation:
342.5÷34.25 = 10
brain
My salary is £28,860 per year. What is my hourly rate of pay if I work 37 hours a week
Answers
Answer:
pay rate £7.80
Step-by-step explanation:
28860 divide by 37 = 780
780 divided by 100 = 7.80
Plzzz helps me for once!!! Graph y= -x/3 - 3/2.
Answers
Answer:
go to desmos it is a online graphing calculator
Step-by-step explanation:
What is the first error Alycia made in her proof.
Answers
Answer: Alycia only established some of the necessary conditions for a congruence criterion.
Step-by-step explanation: Two triangles are congruent if their corresponding sides or/and corresponding angles are the same.
There are 5 ways to find out if the triangles are congruent.
The one Alycia used seems to be the one called Side-Angle-Side, which states that if two sides and its included angle is equal to the corresponding sides and angle of the other triangle, they are congruent.
For triangles ΔOPQ and ΔSTR to be congruent, using that theorem:
1) ∠O = ∠S
2) OP = TS
And
3) RS = OQ
So, Alycia's error is that she didn't prove RS = OQ, which would definitively conclude that both triangles are congruent.
Answer:
Alycia used a criterion that does not guarantee congruence.
Step-by-step explanation:
A proof is a formal description of how we can know that something is true based on the information from a mathematical scenario.
Each step of the proof is a transformation, a construction, or a statement about what we can conclude from earlier steps.
For a two-column proof we give a reason to justify each statement. Common reasons include geometric theorems, algebraic properties, and information given in diagrams.
Let's check the reason for each step and whether Alycia established the conditions for it.
Step 1
The diagram does support the claim that OP=ST=4
Step 1 is correct
Step 2
The diagram does support the claim that OP is parallel to ST because they both have an arrow mark.
Step 2 is correct.
Step 3
<O is indeed congruent to ∠S because they are alternate interior angles between parallel lines.
Step 3 is correct.
Step 4
In this step, Alycia claims that the triangles are congruent using a "side-angle" criterion. She did establish the conditions for claiming that the figures has one pair of congruent corresponding sides and one pair of congruent corresponding angles.
~From Step 1, we know OP is congruent to ST
~From step 2, we know O is congruent to S
(Segments and angles are congruent if and only if they have equal measures.)
However, side-angle congruence is not a valid reason for claiming that two triangles are congruent, so Alycia's reason is inappropriate.
Alycia used a criterion that does not guarantee congruence.
Which measures are the sides lengths of a right triangle?
a)4cm 12cm 8cm
b)5cm 12cm 10cm
c)16cm 4cm 6cm
d)30cm 12cm 6cm
Answers
Answer:
b)
Step-by-step explanation:
a) 4+12>8
12+8>4
4+8=12
NO
b) 5+12>10
10+5>12
12+10>5
YES
c) 16+4>6
6+4<16
NO
d) 30+12>6
12+6<30
NO
3. Peri earned $27 for walking her neighbor's dog 3 times. If pe the same rate and earned $36, how many times did she wall neighbor's dog? Use a unit rate to find the unknown value. 27 36 3 time
Answers
Answer:
She walked neighbor's dog 4 times.
Step-by-step explanation:
It is given that:
Peri earned $27 for walking the dogs 3 times.
Unit rate = [tex]\frac{27}{3}[/tex]
Unit rate = $9 per dog
Now,
Peri worked at the same rate and earned $36.
Unit rate = [tex]\frac{Total\ earning}{Dogs\ walked}[/tex]
[tex]9 = \frac{36}{d}[/tex]
d= 36/9
d = 4
Therefore,
She walked neighbor's dog 4 times.
The equation for the linear function is
y= BLANK1 x + BLANK 2
What are the blanks?
Answers
Answer:
Answer:y=x divided by 3 times 5.
Step-by-step explanation:
if you divide x for example 6 by 3, you will get 2 then multiply it by 5, you will get 10, which is y.
Given any two functions f and g, which of the following statements is always true? (1 point)
O If z is in the domain of f. then must be in the domain of f - g.
Olf 2 is in the domain of f and 22 is in the domain of g, then the product, 222, must be in the domain of fg.
O If ac is in the domain of f + g. then I must be in the domain of f and 2 must be in the domain of 9
O fa is not in the domain of then a is not in the domain of g
Answers
Answer:
cccccc
Step-by-step explanation:
Given two functions f and g, we want to see which statement is always true.
The only true statement is the third one:
"If a is in the domain of f + g. then I must be in the domain of f and it must be in the domain of g"
So what we can do, is try to find counterexamples for the given statements, if we can't, then the statements are true.
Note that the statements are really badly written, so I will complete them in a way that makes sense.
a) "If z is in the domain of f. then must be in the domain of f - g"
False, if z is not in the domain of g, then we can't define:
(f - g)(z)
This would happen if:
g = 1/(x - z)
b) "lf 2 is in the domain of f and 22 is in the domain of g, then the product, 222, must be in the domain of fg"
False, lets replace:
2 = z
22 = k
And let's say that:
f(x) = 1/(x - z*k)
g(x) = x
Then we have:
f*g(x) = x/(x - z*k)
Clearly, z*k (or 222 as you wrote it) is not on the domain.
c) "If a is in the domain of f + g. then I must be in the domain of f and it must be in the domain of g"
True, it only can be on the domain of the sum of the two functions if it belongs to the domain of each one.
d) "if a is not in the domain of (f + g) then a is not in the domain of g"
This is false, because a could be in the domain of g and not be in the domain of f.
Then the only true statement is the third one.
If you want to learn more, you can read:
https://brainly.com/question/4411112
Tina ate 21 starbursts. If she ate 35% of the package of Starbursts, how many Starbursts are in the package?
Show your work
Answers
Answer:
60 starbursts
Step-by-step explanation:
We can set up an equation to find the answer. 21/x=0.35/1 because we're trying to find how many starbursts make up 100% of the package. So then to solve, we take 21x1 and then divide that by 0.35. From this we find that x=60.
Simplify 2(5*)
What is the answer
Answers
Answer:
the answer is 10 multiply maybe
Use the graph below to determine the number of solutions the system has. 2x = 2y - 6 and y = x - 2
Answers
Answer:
It has no (0) solutions.
Step-by-step explanation:
If you graph the lines, they are parallel, therefore there is no number where they connect.
5 - (-3 x 7 ) +8 ÷ 4
Answers
Answer:
21x+7
Step-by-step explanation:
hope this helps ! c:
The answer to 5 - (-3 x 7 ) +8 ÷ 4 is 21x+7
Hope it helped!
