The perimeter of triangle ABC is 138 cm and BC || DE. Is triangle ABC = triangle ADE? Which conjecture supports your conclusion?
please help me it’s due in 30 minutes!!
Answers
Answer
yes triangle ABC is equal to triangle ADE
Step-by-step explanation:
x=46 cm, I got this after simplifying the equation of triangle ABC, x+4+x-4+x=138 cm, so this equation simplifies to 3x as +4-4 cancels out and there're 3 x's, so divide 138 by 3 and you get 46 cm, so AB is 50 cm, BC is 42 cm, and AC is 46 cm, this means EA is equal to EC, now here come a property of equality, EC attaches 2 parallel lines, as does DB, this means these 2 lines are transversals, so a number of angles are equal as well, corresponding angles are congruent, a.k.a equal to each other along with alternate interior angles, so since line DB AND line EC are transversals, we can deduce angle ADE is congruent to angle ABC, and angle DEA is equal to ACB, this mean we have 2 congruent angles, and 1 congruent set of sides, this mean that the 2 triangles are congruent due to Angle Angle Side, if your teacher doesn't use these terms, look it up, but the answer in short is yes, they are congruent or equal
We proved that ABC = triangle ADE by the concept of vertically opposite angles and given perimeter.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
We know when a transversal intersects two parallel lines vertically opposite angles are equal hence DE ≅ CB.
Given, (x + 4) + x + (x - 4) = 138.
3x = 138.
x = 46.
Now, BC = ED = (46 - 4) = 42 cm.
Assuming DA to be y.
∴ 46 + 42 + y = 138.
y = 50
And AB = x + 4 = 50 hence proving triangle ABC = triangle ADE.
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Related Questions
for a giveaway, a local radio station is putting together goodie bags. The bags will include tickets and posters. Each goodie bag will receive an equal share of 54 tickets and 36 posters.
(A) what is the greatest number of goodie bags that can be created? explain your reasoning.
(B) How many of each type of giveaway will be in each bag? Explain your reasoning.
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On Tuesday, a local hamburger shop sold a combined total of 435 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Tuesday?
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Step-by-step explanation:
Answer:
217.5
Step-by-step explanation:
435 divided by 2 don't really know how else to explain
pair that describes <2 <3
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Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The angles 2 and 3 are corresponding angles. So it's choice C.
Tip: Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
ryan took a history test with 25 questions. 60% of the questions were multiple choice. How many questions were multiple choice?
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Answer:
15
Step-by-step explanation:
Amelia practices the piano 980 minutes in 4 weeks. At what rate did she practice, in minutes per day?
Answers
Answer:
35 minutes a day.
Step-by-step explanation:
4*7=28
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Answer:
35
Step-by-step explanation:
980 divided by 28 (days in a month)
which angle pairs are congruent? Select all that apply
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Answer:
Step-by-step explanation:
The first and last one
solving equations with variables on both side! due today
Answers
Answer:
x=5
Step-by-step explanation:
2-3x = -x-8
Add 3x to each side
2-3x+3x= -x+3x-8
2 = 2x-8
Add 8 to each side
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Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample. Write the binomial probability distribution for X . Round to two decimal places
Answers
Answer:
P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2
Step-by-step explanation:
Given that:
Total Number of cameras (n) = 8
Defective cameras = 4
X: number of defective cameras
For a binomial distribution :
P(x) = nCx * p^x * (1 - p)^(n - x)
Probability of success (p) on each trial is the same = (total number of samples / number of defective samples) = 8/4 = 0.5
If 2 samples are chosen at random :
Then, the binomial probability distribution will be :
P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2
Can You Please Help? I swear I will mark brainliest
Answers
Answer:
The answer is 2 inches
Step-by-step explanation:
U just have to divid 20 by 10 and you get ur answer
will mark brainlyest 10/19
Answers
Answer:
answer is 5
Step-by-step explanation:
1) Gracie has a piece of wood that is 5 feet long to use for two projects. She uses 2 feet of the wood on her first project. Which statement describes how a number line can be used to find the length of wood Gracie has remaining for her second project? * Start at 5 and then move left 2 Start at 5 and then move right 2 Start at 2 and then move left 5 Start at 2 and then move right 5
Answers
Answer:
Start at 5 and then move left 2
Step-by-step explanation:
Given:
Length of a piece of wood with Gracie = 5 feets
Length of a piece of wood used on the first project = 2 feets
To find: statement that describes how a number line can be used to find the length of wood Gracie has remaining for her second project
Solution:
The statement that describes how a number line can be used to find the length of wood Gracie has remaining for her second project is
Start at 5 and then move left 2
In this way [tex]5-2=3[/tex]
That is Gracie has now 3 feets of wood available that can be used for her second project.
Using the concept of a number line, the number of wood grace has left would be Start at 5 and then move left 2
Using the concept of a number line :
Positive values are to the right of 0 ; hence, the initial amount of wood grace has is +5 Using two feets from the initial length, then we would Subtract 2 from the the initial value ;To perform subtraction on a number line, we count to the left ;Therefore, the correct statement is Start at 5 and then move left 2
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Which of the following forms a proportion?
5/9 = 14/18 3/5 = 21/35 6/12 = 18/34 1/8 = 2/24
Answers
Answer:
3/5 = 21/35
Step-by-step explanation:
if you reduce 21/35 it is 3/5 so it is the same thing
Please help asap!! I'll give you brainliest!!
What is the slope of the function, represented by the table of values below?
Answers
Answer:
-4
Step-by-step explanation:
To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.
david and Jack share $120 in the ratio 3:5.how much did david get ?
Answers
Answer:
$45
Step-by-step explanation:
ratio is 3:5
David gets 3x, Jack gets 5x
So, 3x+5x=120
8x=120
x=15
David got 3x = 3*15 = $45
Answer:
45$
Step-by-step explanation:
120/8=15
15*3=45
because it is 3:5 ratio
Translate this into an equation.
The product of Greg's height and 5 is 90.
use g to represent Greg's height.
Answers
Answer:
g times 5 equals 90
Step-by-step explanation:
Answer:
g5 = 90
Step-by-step explanation:
if Greg's height is and 5 is the product of 90 that means you have to multiply g and 5 together to equal 90.
What is an equation of the line that passes through the points
(0,8) and
(−8,−4)? Put your answer in fully reduced form.
Answers
y+4 = 1.5 (x+ 8)
y+4 = 1.5x + 12
1.5x - y = -12+4
1.5x - y = -8
Answer:
Answer given in the photo
Segment FB is graphed on the coordinate plane where Fis (- 7, - 4) and B is (5, 2) . If point A is graphed of the way from F to B , where is point A located ? 3/4 of the way from F to B, where is point A located?
Answers
Answer:
Step-by-step explanation:
7, 1
You should not schedule _____ tasks for the same day.
yearly
daily
weekly
monthly
Answers
Answer:
B. Daily
Step-by-step explanation:
It makes more sense to put "daily" because of "the same day."
Daily means doing something everyday.
You should not schedule daily tasks for the same day.
Answer:
I just took the test.
It is weekly.
Shelly runs 2.5 miles in 18 minutes. what is her mile time in minutes.
Answers
Answer:
7.2315656
Step-by-step explanation:
Let's agree that 2.5 miles : 18 minutes is the ratio between the amount of distance and the amount of time spent running. If we spent 2x as many minutes running, Shelly would run 5 miles. In the same context, let's find the amount of distance covered in 18 minutes.
18 × (60/18) = 60
We multiply 60/18 because 60/18 = 60 × (1/18), and the (1/18) cancels with the 18 so we are left with the numerator, 60.
2.5 : 18
Now, we have to multiply 60/18 on both sides!
2.5 × (60/18) : 18 × (60/18) = 60
2.5 × (60/18) = 8 and 1/3 miles
1/3 minus 1/6 equals to???
Answers
Answer:
1/6
Step-by-step explanation:
In order to add or subtract fractions you have to have the same denominator for both factions. you do this through finding the Lowest Common Denominator (LCD) In this case it's six because both 3 and 6 (the denominators) can go into 6. So turn 1/3 into a fraction with 6 as the denominator through multiplying both the top and bottom of the fraction by 2
1/3 * 2/2 = 1*2/3*2 = 2/6
Then you can straightforwardly subtract
2/6 - 1/6 = 1/6
6x+3<7-2x
I’m not sure if I’m doing it right so an explanation would be nice
Answers
Answer:
x<0.5
Step-by-step explanation:
this is just like simplifiying equations if you've done that before
first you want to isolate the variable, so you want to combine the values of x (in this case it's 6x and the -2x)
so you can either add 2x to both sides or you can subtract 6x on both sides, in this case ill just add 2x to both sides.
Then you subtract 3 from both sides to get 8x<4
after you get that, you want to divide both sides by 8, and you generally want to do that step last, it makes it easier, and you get x<1/2 or 0.5
just a reminder that with working with inequalities, you want to remember to flip the direction the inequality is whenever you divide by a negative number
Which function has exactly three distinct real zeros? A. h(x) = (x − 9)2(x − 4)2 B. h(x) = x(x + 7)2 C. h(x) = (x − 3)(x + 1)(x + 3)(x + 8) D. h(x) = (x − 2)2(x + 4)(x − 1)
Answers
Answer: D is the correct answer .
D. h(x)= (x-2)^2(x+4)(x-1)
Step-by-step explanation: For Plato users the correct answer is D .
The function which has three distinct zeroes is h(x) = (x − 2)²(x + 4)(x − 1), the correct option is D.
What is a Function?A function is a law that relates a dependent and an independent variable.
The zeroes of the function are the point at which the function value becomes 0.
The function which have three distinct real zeroes is
h(x) = (x − 2)²(x + 4)(x − 1)
(x-2)² = 0
x = 2
(x+4) = 0
x = -4
x-1 = 0
x = 1
To know more about Function
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If CDEF ≅ KLMN, what are the congruent corresponding parts? A. Sides: CD¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯,DE¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯,EF¯¯¯¯¯¯≅KL¯¯¯¯¯¯,CF¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯;Angles: ∠C≅∠N,∠D≅∠M,∠E≅∠K,∠F≅∠L B. Sides: CD¯¯¯¯¯¯≅KL¯¯¯¯¯¯,DE¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯,EF¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯,CF¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯;Angles: ∠C≅∠K,∠D≅∠L,∠E≅∠M,∠F≅∠N C. Side: CD¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯,DE¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯,EF¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯,CF¯¯¯¯¯¯≅KL¯¯¯¯¯¯;Angles: ∠C≅∠L,∠D≅∠K,∠E≅∠N,∠F≅∠M D. Sides: CD¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯,DE¯¯¯¯¯¯≅KL¯¯¯¯¯¯,EF¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯,CF¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯;Angles: ∠C≅∠M,∠D≅∠N,∠E≅∠L,∠F≅∠K
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What 98 x 8 divided by 2 and what is this game called
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Answer:
392 and Overwatch I think
Step-by-step explanation:
Answer:
392 and overwatch, the other guy deleted his answer soo imma hop in here and put the answer.
Step-by-step explanation:
You have $50 in your bank account. You withdraw $60 from your bank account. What is your new balance?
Answers
Answer:
you would not be able to withdraw $60
Step-by-step explanation:
$50 is less than $60
Answer:
$-10 (you wouldn't be able to withdraw 60, only 50 or less.)
Step-by-step explanation:
You have $50 and you withdraw $60 from your bank account, if you did that, you would've had -10 dollars in your bank account.
And you wouldn't be able to withdraw 60, only 50 or less.
(～￣▽￣)～Hope this helps!
change 84cm into mm
Answers
Answer:
840mm
Step-by-step explanation:
There are 10mm in 1cm, so all you have to do is multiply 84 by 10, which is 840. 84cm=840mm
Have a great day...I hope this helped you :3
What would be the best first step in solving 0.05x + 0.01 = 0.025? Explain.
Answers
Answer:
Step-by-step explanation:
it would be to subract 0.01 from 0.025 because you want to get the x by itself
Tanner is cutting a 23-inch board into 2.25-inch sections. How many whole sections will he end up with?
11
12
10
13
Answers
23/2.25 = 10.22 (10 whole sections)
hope this helps :)
The math book was originally $10. the bookstore placed it on sale for $5. find the percent of decrease
Answers
Answer: 50%
Step-by-step explanation: math
Find the total distance from Mercury to Earth. HELP!
Answers
Answer:
5.67*10^7
Step-by-step explanation:
Since the distance from mercury to venus is 30,700,000, and the distance from venus to earth is 26,000,000, we can simply add these together to find the distance from mercury to earth:
30,700,000
+26,000,000
__________
56,700,000
Now, to convert it to scientific form, just multiply 10^7 (which is the number of digits-1) and 5.67. Therefore, the answer is 5.67*10^7