Answer:
Triangle CBD = Triangle DAC by rule SSS
Step-by-step explanation:
Line segment CD bisects line segment AD.
Given that, triangles ΔABC ≅ ΔBAD so that C and D lie in the opposite semi-planes of segment AB.
What are congruent triangles?Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal. They are of the same shape and size.
According to the question ΔABC ≅ ΔBAD.
So, the sides of triangles are congruent.
They are, AB ≅ BA, AC ≅ BD and BC ≅ AD
Similarly, the following angles are corresponding
∠ABC ≅ ∠BAD
By vertical angle theorem, we have the following corresponding angles:
∠AEC ≅ ∠BED
∠EAC ≅ ∠EBD
Notice that points A and D are common in the above angles
So, we have AE ≅ BE
Hence, line segment CD bisects line segment AD.
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"Your question is incomplete, probably the complete question/missing part is:"
Triangles ΔABC ≅ ΔBAD so that C and D lie in the opposite semi-planes of segment AB. Prove that segment CD bisects segment AD.
What is the percent of change From 200 to 500
40%
Convert fraction (ratio) 200 / 500 Answer: 40%
The solution is 150 %
The percentage change from 200 to 500 is 150 %
What is Percentage Error?
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage error is the difference between the measured value and the true value , as a percentage of the true value
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Given data ,
Let the percentage change be represented as A
Now , the value of A is
Let the first number be P = 200
Let the second number be Q = 500
Percentage change = [ ( |first number- second number | ) / True Value]x 100
Substituting the values in the equation , we get
Percentage change A = ( | 200 - 500 | / 200 ) x 100
Percentage change A = ( 300 / 200 ) x 100
Percentage change A = 1.5 x 100
Percentage change A = 150 %
Therefore , the value of A is 150 %
Hence , the percentage change is 150 %
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WHUR Radio uses 1/5 of its of its 10 hours of daytime broadcast for commercial and 1/2 for music. How much is left for news?
Answer: 3 hours
Step-by-step explanation:
From the question, we are informed that WHUR Radio uses 1/5 of its of its 10 hours of daytime broadcast for commercial and 1/2 for music.
Hours used for commercial:
= 1/5 × 10
= 2 hours
Hours used for music:
= 1/2 × 10
= 5 hours
Hours left for news will be:
= 10 hours - 2 hours - 5 hours
= 3 hours
Estimate each quotient to the nearest whole number. Then, find the actual quotient. EASY
Answer:
28 and 15
Step-by-step explanation:
Answer:
I think it would be 28 and 15
Step-by-step explanation:
what is the answer to 9(g+3h)
Answer:
9(g+3h) = 36
Step-by-step explanation:
what is b?
1.2b-1.8=47.4
Answer:
b=41
Step-by-step explanation:
Who knows the answerಠ_ಠ
Write three expressions that are equivalent to 2x + 4x - 15
Answer:
6x-15
3x+3x-15
5x+1x-15
Step-by-step explanation:
6x-15
3x+3x-15
5x+1x-15
they all add up to 6x-15
so they are equal
Darcy, Jason, and Maria share $268. Jason has $20 more then Darcy
and Maria has twice as much money as jason. How much do Darcy
and Jason have altogether?
Answer:
Darcy and Jason have $124 combined
Step-by-step explanation:
$124.
Jason- 20$ more than Darcy
Maria- Twice as much as Jason
Darcy- 20$ less than half of Maria's sum.
Step-by-step explanation:After I had written the page below, I came back up here and realized there was a much easier way.
268/2 = 134
Since the 20 Is added after, half is subtracted and you end up with
124!!
Now for my explanation done first, typed and read as I figured it out.
First and mostly, we need to find what Darcy starts with.
Let's say that Darcy has 5 dollars, to start somewhere easy. That would mean that Jason has 25 dollars since he has 20 more than her. That would mean that Maria would have 50 dollars, and the looted sum is 80.
Since that is less than a quarter of our end goal of 256$, I raised Darcy's initial amount of money to 15 to triple her money.
Math revised here- 15+20= (35*2) 70= 120
15+35+70
Since that is too low, I'm adding it to 30$.
Math revised again here- 30+20=(50*2)=100= 180
30+50+100
5 15 30
80 120 180
That is a chart determining our answers so far. There is no clear pattern, so let us continue.
Darcy starts with 50 dollars for this one.
50+20=(70*2)=140
50+70+140
260.
We are close to the sum.
Darcy starts with $52
52+20(72*2)= 144
52+72+144
268!
This means we have found how much Darcy has, and since Jason's amount depends on her, we have found both of their sums!
Amina buys a games console and some games. The total cost is 650 Amina’s mum pays £225 towards the cost. Amina pays the remaining amount in two equal monthly payments. a How much does she pay each month
Solve for b.
3(b−4)+5b=44
Answer:b = 7
HOPE THIS HELPS :)
Step-by-step explanation:
Help me solve this problem please please zoom in if u can i need help
Answer:
c
Step-by-step explanation:
it is the awnser
Find the values below:
x =
m
m
m
Answer:
you said below so if talking graph wise its going to be a negative
Step-by-step explanation:
never heard of this equation
find the area of the circle with following dimension. diameter= 10 cm
Answer:
MARK AS BRAINLIST
Step-by-step explanation:
D=10
A=pie*radius^2
=3.14*5^2
=78.5
Write an equation involving absolute value for the graph if the points are located at 0 and 0.5
Answer:
bro im stuck too
Step-by-step explanation:
Solve for x and find the length of each segment formed.
PLZ HELP!!
HELP MEE PLEASEEEE BROO !!!
Answer:
5
Step-by-step explanation:
Scale factor is just the amount every side is multiplied by.
7*5=35
I rlly need help can anyone please help me :) thank you so much if you do
Answer:
1
Step-by-step explanation:
The y intercept is where it crosses the y ( or vertical) axis
The crosses at y =1 so the y intercept is 1
x + 2x - 4x + 9 combine terms
Answer: -x+9
Step-by-step explanation:
quick math puzzle, helpppp
Answer:
the skeleton = 2.5
skull= 3
ghost = 7
pumpkin = 1.5
Step-by-step explanation:
Which is a unit rate?
A. 30 pounds per 4 months
B. 5 feet in 1 second
C. 45 people for 2 cars
D. 180 students to 5 teachers
Answer:
B. 5 feet in 1 second
Step-by-step explanation:
A unit always has to have 1 as the denominator, and the only option with 1 as part of the statement, is option B.I hope this helps!
Answer: A.
Step-by-step explanation:
There are some words that allow you to identify unit rates without solving the problem (like per). Therefore, A is going to be your answer.
In 3.725, which digit is in the hundredths place?
Answer:
3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
The given number is 3.725. You can determine that 3 is in the ones place, 7 is in the tenths place, 2 is in the hundredths place, and 5 is in the thousandths place.
Please help!!!!!!!!!!!!
Answer:
its d
Step-by-step explanation
you multiply 3 x 3.14 and see if its greater
1) Find the rate of change from the following table. Explain what the rate of change means.
Time (x)
1 2 3 4 5
Rainfall (y) 3 6 9 12 15
I
Rate of Change =
May someone pls help me
Rationalise the denominator and simplify 5 root 7/root 35
Answer:
Exact Form: Root 5
Decimal Form: 2.23606797...
Step-by-step explanation:
Multiply the numerator and denominator by the conjugate.
The simplified evaluation of the given expression would be √5 in exact form or 2.23606797... in decimal form.
What is a rational number?A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.
It can be a/b of two integers, a numerator a, and a non-zero denominator b.
We have been the given expression as :
⇒ 5 √7/√35
∵ √35 = √7 ×√5
⇒ 5 √7/√(7×5)
Reduce the identical terms, and we get
⇒ 5 √7/(√7)×(√5)
⇒ 5 /√5
⇒ (√5 ×√5)/√5
∵ 5 = √5 ×√5
⇒ √5
Exact Form: √5
Decimal Form: 2.23606797...
Therefore, the simplified evaluation of the given expression would be √5 in exact form or 2.23606797... in decimal form.
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Taylor plans on raising a total of $3000 for Relay for Life for her school. His goal is to raise 1/3 of that money by the end of the month. Unfortunately, Taylor was only able to raise 1/5 of his goal for the month. How much money did Taylor actually raise?
Answer:
[tex]\$600[/tex]
Step-by-step explanation:
Total amount raised for relay for life = $3000
Although goal is to raise [tex]\frac{1}{3}[/tex] of the total amount by the end of the month. But unfortunately, Taylor was only able to raise 1/5 of his goal for the month.
Therefore,
Ratio of amount raised for the month [tex]=\frac{1}{5}[/tex] of the goal.
So,
amount raised for the month [tex]=\frac{1}{5} (3000)=\$600[/tex]
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walker charge for a 45 minute walk? Write an equation in function notation for the situation, and then use it to solve the problem. Determine if the given statement is True or False
Answer:
The function notation is given as:
$6 + $30 × x
f(x) = $6 + 30x
The dog walker charges $28.50
Step-by-step explanation:
Let the hourly rate be represented by x
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30.
The function notation is given as:
$6 + $30 × x
F(x) = $6 + 30x
How much does the dog walker charge for a 45 minute walk?
We have to convert 45 minutes to 1 hour
60 minutes = 1 hour
45 minutes = x
x = 45/60
x = 3/4(hour)
Putting that in the function notation:
f(x) = $6 + 30x
x = 3/4
$6 + 30(3/4)
$6 + $22.5
= $28.50
Therefore, the dog walker charges $28.50
A store that buys and sells used video games buys a game at a cost of $19 and sells it at a selling price of $22. Find the markup. Then find the percent markup.
Draw the graph of linear equation 3x-2y=0. check whether it passes
through the origin.
Answer:
It passes through the origin
Step-by-step explanation:
When graphing the equation, the line passes through the origin.
3x-2y = 0
Subtract 3x from both sides
3x-2y-3x = 0-3x
Simplify
-2y = -2x
Divide both sides by -2
-2y/-2 = -2x/2
Simplify
y = 3/2x
Therefore, y = 3/2x + 0
Complete the statements to find the measurements of ∠a and ∠b .
Answer:a
Step-by-step explanation:
S
Josiah's family took a road trip to Mount Rushmore, Josiah fell asleep after they had travelled 174 miles. If the total length of the trip was 600 miles, what percentage of the total trip had they travelled when Josiah fell asleep?
