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.
learn more about congruency here :
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Answer:
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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.
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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(～￣▽￣)～Hope this helps!
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Have a great day...I hope this helped you :3
1/3 minus 1/6 equals to???
Answers
Answer:
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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
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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
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Answer:
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Step-by-step explanation:
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Please help asap!! I'll give you brainliest!!
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Answers
Answer:
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Step-by-step explanation:
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Translate this into an equation.
The product of Greg's height and 5 is 90.
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Answers
Answer:
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Step-by-step explanation:
Answer:
g5 = 90
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Given that:
Total Number of cameras (n) = 8
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If 2 samples are chosen at random :
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
ratio is 3:5
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Answer:
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Step-by-step explanation:
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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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Answer: 50%
Step-by-step explanation: math
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Answer:
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Step-by-step explanation:
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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.
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Now, we have to multiply 60/18 on both sides!
2.5 × (60/18) : 18 × (60/18) = 60
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Answers
Answer:
3/5 = 21/35
Step-by-step explanation:
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Answers
Answer:
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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:
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__________
56,700,000
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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
Answers
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 :)
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
980/28=35
Answer:
35
Step-by-step explanation:
980 divided by 28 (days in a month)
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