Answer: Well all you have to do Is find the Rise over run.
Step-by-step explanation:
Then you will have your answer :)
Answer:
Step-by-step explanation:
12
Given that E is the midpoint of AD and BC, which of the following proves that AB∥CD?
HELP ASAP!
The proof that shows that AB∥CD in the diagram given is:
1. E is the midpoint of AD --> Given
2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint
3. E is the midpoint of BC --> Given
4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint
5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem
6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem
7. AB∥CD ---> CPCTC Theorem.
The given figure showing ΔABE ≅ ΔDCE is in the image attached below.
We know that:
E is the midpoint of AD. Therefore, AE ≅ ED by the definition of midpoint.
E is the midpoint of BC. Therefore, BE ≅ EC by the definition of midpoint.
∠AEB and ∠CED are vertical angles, therefore, ∠AEB ≅ ∠CED by the vertical angles theorem.
This means that ΔAEB and ΔDEC have:
two pairs of congruent sides - AE ≅ ED and BE ≅ EC
one pair of congruent included side - ∠AEB ≅ ∠CED
Hence, ΔABE ≅ ΔDCE by the SAS Congruence Theorem.
If both triangles are congruent, it implies that all corresponding sides and angles of ΔAEB will be congruent to that of ΔDEC.
Therefore, AB∥CD by the CPCTC Theorem.
Thus, the proof that shows that AB∥CD in the diagram given is:
1. E is the midpoint of AD --> Given
2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint
3. E is the midpoint of BC --> Given
4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint
5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem
6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem
7. AB∥CD ---> CPCTC Theorem.
Learn more about the CPCTC Theorem on:
https://brainly.com/question/14706064
10 to the power of -2
Answer:
0.01
Step-by-step explanation:
your welcome :D have a good day pls mark me with the crown (whatever its called lol)
2[tex]\frac{3}{5}[/tex] × 3[tex]\frac{1}{3}[/tex]
Answer:
[tex]7\frac{5}{3}[/tex]
Step-by-step explanation:
[tex]2\frac{3}{5}[/tex] × [tex]3\frac{1}{3}[/tex]
First make these two fractions as improper fractions.
[tex]\frac{13}{5}[/tex] × [tex]\frac{10}{3}[/tex]
Now multiply the fractions
[tex]\frac{130}{15}[/tex]
You can divide both sides by 5 to simplify the fraction.
[tex]\frac{26}{3}[/tex]
Now make it as a mixed number.
[tex]7\frac{5}{3}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Hello there! (:
[tex]2\frac{3}{5} *3\frac{1}{3}[/tex]
Follow these steps to multiply mixed numbers:
Convert them into improper fractions.Multiply. the numerator by the numerator and the denominator by the denominator.Simplify if necessary.Now, how do we convert a mixed number into an improper fraction?
Here are the steps:
Multiply the whole number times the denominator.Add the numerator.Simplify, if necessary.Step 1:
2*5=10
10+3=13
[tex]\frac{13}{5}[/tex]
Now, we do the same to the second fraction:
[tex]\frac{10}{3}[/tex]
[tex]\frac{13}{5} *\frac{10}{3}[/tex]
Step 2. Multiply the numerator times the numerator and the denominator times the denominator:
[tex]\frac{26}{3}[/tex]
Now, let's convert this fraction into a mixed number:
[tex]7\frac{5}{3}[/tex]
Hope it helps you!
If you have any queries, feel free to ask me! (:
~A smiley teen who adores helping others
[tex]MagicalNature[/tex] here to help
Maddie has $100. She worked for 5 days and she now has $200. What
integer represents the average increase in value PER DAY?
She gets 20 dollars every day.
If we play a game where I start with 2 dollars and you start with one dollar, and I have a probability of 1/3 of winning a dollar from you and you have a 1/3 probability of winning a dollar from me, what is the probability that I win all of your money
Answer:
1/3 or 0.33
Step-by-step explanation:
Hope it helps
LMK if it does and weather it is wrong or right
For every 20 penguins at the North Pole there are 9 polar bears. If you encountered 27 polar bears, how many penguins would you expect to see?
Answer:
60 penguins
Step-by-step explanation:
We need to find out how many times 9, the number of polar bears for every 20 penguins, was multiplied by, so that we can multiply 20 penguins by the same amount.
27/9 = 3
20*3 = 60
Answer: 60
Step-by-step explanation:
The ratio is 20:9. If you times both sides by 3, you will get 60:27, which means 60 penguins per 27 polar bears.
Plz help i don’t understand the question
Answer:
the reciprocal of 1 6/7 is 7/15, so 7/15 and 7/13 have a difference of two in their denominators.
Step-by-step explanation:
hope I helped you! :D
Solve the equation for x.
x + 13 = 22
x + -13 = 22
Reorder the terms:
-13 + x = 22
Solving
-13 + x = 22
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '13' to each side of the equation.
-13 + 13 + x = 22 + 13
Combine like terms: -13 + 13 = 0
0 + x = 22 + 13
x = 22 + 13
Combine like terms: 22 + 13 = 35
x = 35
Simplifying
x = 35
Michelle has $1200 in her savings account if the bank pays 3% interest per year on savings how much interest does she earn in a year? A: $360 b: $300 C: $30 D: $36
Answer:
d - $36
Step-by-step explanation:
I=Prt
(interest=principle*rate*time in years)
I=1200*.03*1
I=1200*.03
I=36
find the measure of each angle indicated
150 °
X + 124
Answer:
x = 126°
Step-by-step explanation:
150 = x + 124
Subtract 124 from 124 and cancel it out. Whatever you do to one side you have to do to the other so subtract 124 from 150.
150 - 124 = x
Solve.
26 = x
If you need further explanation leave a comment.
A car is sold for £7,800 If this represents a depreciation in value to 60% of its original
price, then calculate the original price of the car.
Answer:
6,543
Step-by-step explanation:
This is my guess ONLY.
Harry has a balance of $-60.00. He buys 4 bags of apples at the store. 1 bag of apples costs $3. What is his balance now? Explain whether he is making a good financial decision.
Answer:
I may not know his balance but I think he's not making a good financial decision because he already has - $60 in his account and he's spending more making him more liable to burn money and it's not advisable
Use the Distributive Property to solve the equation.
3(x−6)+8=5x−2
Answer:
x = -4
Step-by-step explanation:
2x=-2+10
-2=8
x=-4
Answer:
3x-18+8=5x-2
3x-10=5x-2
3x-5x=-2+10
-2x=8
X=-4
Step-by-step explanation:
Have a great day
Which of the following ordered pairs represent points that lie on a horizontal line?A.(−2, 3), (−5, 3)B.(2, 3), (−2, 4)C.(−2, 3), (−2, 4)D.(2, −3), (5, 3)
Answer:
(−2, 3), (−5, 3) lie on a horizontal line. The y value is 3 for both values of x. The line runs parallel to the x axis and 2 steps above.
Step-by-step explanation:
Factorise fully
gcse maths
please help
Answer:
Step-by-step explanation:
Numbers: HCF of 18 and 30
18: 2 * 3 * 3
30:2 * 3 * 5
HCF: 2 and 3 = 6
a: a * a and a.
HCF = a
b: b
c: c and c*c
HCF: C
Answer: 6*a*b*c(3a + 5*c)
Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.
Adding which of the following ordered pairs to the set {(0, 1), (2, 4), (3, 5)} would make it not a function?
Answer:
2
Step-by-step explanation:
A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82
A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82
50 POINTS, GET RIGHT FOR BRAINLIEST
What is the prime factorization of 144? (The ^ means exponent)
A) 2 × 6^2
B) 2^2 × 3^4
C) 2^3 × 3^2
D) 2^4 × 3^2
Answer:
A and D
Step-by-step explanation:
A is 2 times 6 to the 2nd which is just 24 and D is 16 times 9 which is 144 both are prime factors of 144.
Twice the difference of a number 8 equals 5
Answer:
2(n-8) = 5
Step-by-step explanation:
I'm assuming that its supposed to say "a number and 8"
Answer:
x=10.5
Step-by-step explanation:
x will be a number
2(x-8)=5 --> I'm assuming your question is " twice the difference of a number and 8 equals 5.
Solving
2(x-8)=5
2x-16=5 --> distrubute the 2--> 2*x = 2x and 2*-8 = 16
2x=16+5--> add 16 to other side of x
2x=21--> add like terms
2x / 2 =21 / 2--> single out x
x=10.5 --> 21/2 --> just divide
what type of graph is used to display categorical data?
Answer:
bar chart..
Step-by-step explanation:
solve for z. -18+5z=37 and thank you and have a bless day
Answer:
z= 37/23
Step-by-step explanation:
Passes through (2, 3) at a gradient of 2
Answer:
y = 2x-1
Step-by-step explanation:
I'm guessing gradient of 2 means slope of 2
if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation
slope-intercept (y=mx+b)
m is the slope and b is the y-intercept (which we are trying to find)
so far, we have a point and a slope so we can fill in x,y, and m
(3) = (2)(2) + b
3 = 4 + b
3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)
-1 = b
we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation
y = 2x - 1
How many solutions does |3x + 1| = -5 have?
need to know answer asp
Answer:
0
Step-by-step explanation:
Absolute values can't have negatives as answer. Useful tip, If there is a negative as an answer for absolute value, there is no solution, if it has 0 as an answer, there is 1 solution, and if it has a positive as answer, then it will have 2 solutions.
The length of the base of an isosceles triangle is x. The length of a leg is 2x-5 . The perimeter of the triangle is 25. Find x.
Answer:
=x+2x-5=25
=3x-5=25
=3x=30
=x=10cmStep-by-step explanation:
mark as brainliast
Answer:
10 cm
Step-by-step explanation:
A satellite’s original velocity is 40000
m/s. After 10 minutes, the velocity of
the satellite is 4000 m/s. What is the
satellite’s acceleration?
Answer:
-60m/s²
Step-by-step explanation:
The first thing to do is know the equation:
(Final velocity - initial (original) velocity) / time (seconds)
Next you check the units:
10 minutes = 600 seconds
Then you use the equation to solve the problem:
(4000 - 40000) = -36000
-36000 / 600 = -60
Units for acceleration = m/s²
Answer = -60m/s²
The value is negative because the satellite's velocity has decreased
Hope this helps.
What is a reasonable estimate for the subtraction equation 3.2 − 1.4 = ________ when you round each number to the nearest whole number? (2 points)
1
1.5
2
2.5
Answer:
Hello!
After reviewing the question you have provided, I came up with the correct answer:
C) 2
Step-by-step explanation:
Firstly:
As the question states, you need to round each number to the nearest whole number and then choose the closest estimate to what the nearest solution could be.
When you round the two numbers you should come up with "3-1= ____".
This is because you round up with a number has .5 or higher, and you round down when any number has .4 or lower.
So 3.2 rounds to 3
And 1.4 rounds to 1.
With the new equation you can then solve "3-1= 2"!
Hope this helps!
how many square units are in an office that is 13 units by nine units
Identify two opposite rays.
Answer:
B and D
Step-by-step explanation:
opposite rays 180° to each other
here B and D are opposite rays
Answer:
B and D
Step-by-step explanation:
Each opposite ray need 180 degree.
Solve with elimination please
Answer:
x = 6
Step-by-step explanation:
6x - 3y = -21 => 6x = 3y - 21
4x = 3y - 9 => 4x = 3y - 9
-2x = -12
-2x/-2 = -12/-2
x = 6
Hope this works
What is the equation of the line that passes through the point (8,-8) and has a slope of -2
Answer:
y=-2x+8
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (8, -8) and has a slope of -2
We can write this equation in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Since we already know the slope of the line, we can immediately plug it into the equation as m:
y=-2x+b
Now we need to find b
As the equation of the line passes through the point (8, -8), we can use it to help solve for b, since (8, -8) is a solution to the equation, meaning that it will yield a true statement when plugged into the equation
So substitute 8 as x and -8 as y:
-8=-2(8)+b
Multiply
-8=-16+b
Add 16 to both sides
8=b
Now substitute 8 as b into the equation:
y=-2x+8
Hope this helps!
.Equation of line in point slope form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y+8=-2(x-8)[/tex]
[tex]\\ \sf\longmapsto y+8=-2x+16[/tex]
[tex]\\ \sf\longmapsto 2x+y+8-16=0[/tex]
[tex]\\ \sf\longmapsto 2x+y-8=0[/tex]