Please help!!:
What is the length of DE in the image provided? (Please explain so I can understand in the future)
A. DE=4
B. DE=5
C. DE=6
D. DE=7
Answers
==========================================================
Explanation:
We have these three facts:
The arc markings on angles C and D indicate those angles are congruent. We can say that angle ACB = angle EDB.Another pair of congruent angles are angle ABC and angle EBD. These are vertical angles. Lastly, we have a pair of congruent sides AB and BE because of the tickmarks.Those three facts allow us to use the AAS (angle angle side) congruence theorem to prove that triangle ABC is congruent to triangle EBD.
Then by CPCTC (corresponding parts of congruent triangles are congruent), we know that AC = DE. Note how 'A' and 'C' are the first and last letters of ABC; similarly, 'E' and 'D' are the first and last letters of EBD. Segment ED is the same as segment DE.
So to find the length of DE, we need to find the length of AC. To do that, we need the value of x.
----------------
Recall earlier that AB = BE. Use this to find x
AB = BE
1.5x = 3x-6
1.5x-3x = -6
-1.5x = -6
x = -6/(-1.5)
x = 4
Now we can find the length of AC
AC = x+3
AC = 4+3
AC = 7
This must mean DE = 7 as well.
Answer:
DE=7
Step-by-step explanation:
I just took test
Also please make me Brainliest
Related Questions
A rectangle is formed by the intersection of the lines x = −1, y = −1, x = 5
and y = 3.
What is the perimeter and area of the rectangle?
Answers
Answer:
X angle
Step-by-step explanation:
help me please. its due soon
Answers
Answer: y = 11
Step-by-step explanation:
first, i collected the like terms.
7y + 9 = 4y + 42
then, i moved the terms.
7y - 4y + 42 - 9
then, i collected the like terms and calculated it.
3y - 33
finally, i divided both sides.
y = 11
Answer:
y = 11
Step-by-step explanation:
-5y + 12y + 9 = 4y + 42
Add like terms on the left side, -5y + 12y.
7y + 9 = 4y + 42
Subtract 4y from both sides.
3y + 9 = 42
Subtract 9 from both sides.
3y = 33
Divide both sides by 3.
y = 11
Please help me thanks please
Answers
Answer: 2827 cm squared is the answer
[tex] \frac{x { + 1}^{2} }{x - 2 {3}^{3[/tex]
Answers
Answer:
[tex] \frac{ {(x + 1)}^{2} }{ {(x - 2)}^{3} } [/tex]
write an expression with a constant of -4 and a coeffiecient of 2
Answers
Answer:
2x^2 - 4
Step-by-step explanation:
- A "constant" in an equation is a number that stands alone, with no attached variable or exponents.
- A "coefficient" is a number placed before a variable that is multiplying with the variable. For example, 2 would be the coefficient of 2xy, because it is the number you are multiplying "xy" by.
A group of 169 students needs to be seated in a square formation for a yearbook photo. Solve the equation 169 = s 2to find how many students should be in each
Answers
Answer:
13 students per row
13 rows total
(169\13=13)
In an on-line survey, a school learns that 77 of 100 parents prefer to receive the newsletter electronically. How many paper newsletters would the school estimate are needed if there are 650 parents?
Answers
77% of 650 is 500.5.
23% of 650 is 149.5.
650/100 = 6.5
6.5x77 = 500.5
6.5x23 = 149.5
It's best to round that figure up to 150 as there will not be a parent who only needs half of the newsletter.
The number of paper newsletters the school needed is given by the equation A = 149.5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of paper newsletters the school needed be A
Now , the equation will be
The percentage of parents who prefers newsletters electronically = 77 %
So , percentage of parents who prefers paper newsletters = 100 % - 77 %
The percentage of parents who prefers paper newsletters = 23 %
The total number of parents = 650
So , the number of paper newsletters the school A = percentage of parents who prefers paper newsletters x total number of parents
Substituting the values in the equation , we get
The number of paper newsletters the school A = ( 23/100 ) x 650
The number of paper newsletters the school A = 149.5
Therefore , the value of A is 149.5
Hence , the equation is A = 149.5
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
In a pet shop, there are generally 14 dogs for every 3 cats. How many cats would you expect if there were 98 dogs?
someone plz help me I have until 11:59pm
Answers
Answer:
21 cats
Step-by-step explanation:
98/14=7 7x3=21
Answer:
21 cats
Step-by-step explanation:
98/14=7
7 times 3=21
What are the steps to the answer
Answers
Multiply both sides of the equation by 4
-x-8=4x+12
Switch the variable and the constant
-x-4x=12+8
Collect terms
-5x=20
Divide both side by -5
x=-4
Determine which transformation took place from f(x) to g(x).
Translation.
Rotation.
Reflection.
Answers
Answer:
mali aaudina so sorry and again please don't asked me
Which expression is equivalent to sqrt 2x^5/18 assume x is greater than or equal to 0
Answers
Answer:
[tex]\sqrt{\frac{2x^{5} }{18} }[/tex] = [tex]\frac{\sqrt{x^{5} } }{3}[/tex]
Step-by-step explanation:
Given expression
[tex]\sqrt{\frac{2x^{5} }{18} }[/tex]
we know that the algebra formula
[tex]\sqrt{\frac{a}{b} } = \frac{\sqrt{a} }{\sqrt{b} }[/tex]
[tex]\sqrt{\frac{2x^{5} }{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{9} \sqrt{2} }[/tex]
= [tex]\frac{\sqrt{x^{5} } }{3}[/tex]
The equation for bryce's running rate is y=5x and for Laila it is y=8x. Who is running faster?
Answers
Answer:
8x
Step-by-step explanation:
Answer:
I think it is 8x
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
Which option gives the correct equation and description for the line that passes
through the points A(2, -1) and B(2,0).
O A vertical line with the equation x = 2
A horizontal line with the equation y = 2
A horizontal line with the equation x = 2
A vertical line with the equation y = 2
Answers
Answer:
Step-by-step explanation:
No matter what the value of y is, x = 2. That's exactly what the answer is.
The line is vertical and the equation is x = 2.
A linear function has a y-intercept of -12 and a slooe of 3/2. What is the equation of the line?
Answers
Please guys help me I need help to get an A+
Answers
To model the situation, you need to draw 6 squares divided into quarters. Color in 3 of the quarters in each square.
Finally, write this for the solution sentence:
By giving 3/4 of a chocolate bar to each of her friends, Mrs. Lopes will be able to share her 6 chocolate bars with 8 different friends.
Hope you get that A+!
If the number of medical school applicants was estimated to be 35,505,900 in January 2016, and the number of students admitted to medical schools was estimated to be 4% of the applicants, calculate the number of successful applicants.
Answers
Answer:
1,420,236
Step-by-step explanation:
According to the problem, computation of the given data are as follows,
Total number of applicants = 35,505,900
Applicants admitted = 4% of total number of applicants
So, Number of successful applicants = Applicant admitted percent × Total number of applicant
By putting the value, we get
Number of successful applicants = 35,505,900 × 4%
= 1,420,236
Write in slope-intercept form.
Answers
y-7=-3/4x-(15/4)
y=-3/4x-15/4+7
y=(-3/4)x+(13/4)
Write 5 pounds for $2.49 as a unit rate. Round to the nearest hundredth
Answers
Answer:
$0.50/pounds
Step-by-step explanation:
5 pounds= 2.49
1 pound = $2.29 ÷ 5 = $0.50 (nearest hundredth)
WILL GIVE BRAINLIEST!!!!!!!!!!
There are approximately 33,600 species of fish in the world. About 32,928 species of fish come from the world's three largest oceans and of these, 23,520 species of fish come from the Pacific Ocean.
What is the probability of selecting a species of fish that comes from the Pacific Ocean given that a species of fish is selected from those coming from the world's three largest oceans?
A. 32,928/33,600
B. 23,520/32,928
C. 23,520/33,600
D. 9,408/32,928
Answers
Answer: B. [tex]\dfrac{23520}{32928}[/tex]
Step-by-step explanation:
Let A = Event that species of fish comes from the Pacific Ocean .
B = Event that species of fish comes from world's three largest oceans.
To find : P(A |B)
Formula : [tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]
Here,
[tex]P(B)=\dfrac{32928}{33600}\ \ \ [Probability =\dfrac{favourable\ outcomes}{Total outcomes}][/tex]
[tex]P(A\cap B)=\dfrac{23520}{33600}[/tex]
[tex]P(A|B)=\dfrac{\dfrac{23520}{33600}}{\dfrac{32928}{33600}}=\dfrac{23520}{32928}[/tex]
Correct option : B. [tex]\dfrac{23520}{32928}[/tex]
Answer:
B.
Step-by-step explanation:
geometry b final exam
What is probability of selecting a VOWEL in the word MATHEMATICS? Simplify your answer? I WILL MARK BRAINLIST FOR THIS!
Answers
Answer:
4/11
Step-by-step explanation:
There are 4 vowels: A, E, A, I
There are 11 characters total, so the probability is 4/11, which is simplified.
Line p has a slope of 6/7. Line q is perpendicular to p . What is the slope of line q
Answers
Answer:
The slope of line q is -7/6
Step-by-step explanation:
To find the slope of a perpendicular line, you need to find the opposite reciprocal. So, flip the fraction (7/6) and then take the opposite, (-7/6).
Hope this helps!
Find −39÷(−13) help me
Answers
Answer:
3.
Step-by-step explanation:
- / - = +
-39 / -13
= 3
Marcus has different songs on his iPad 84 of the songs he downloaded were free of this number represents 24% of the total number of songs on his iPod how many songs does he have on his iPod
Answers
Answer:
84-24%=63.84
Step-by-step explanation:
James is following this recipe to make flapjacks.
James uses 660 ml of syrup.
How many flapjacks is James making?
Recipe: Makes 8 flapjacks
60 g sugar
110 ml syrup
200 g oats
120 g margarine
30 g sultanas
Answers
660/110 = 6
8 x 6 = 48
James is making 48 flapjacks
The table shows some values of x and y that satisfy the equation y=acosx + b
Answers
Answer:
By an online search, i found that the table is:
x = 0° 30° 60° 90° 120° 150° 180°
y= 10 4+3*√3 7 4 1 4 -3*√3 -2
Where x is in degrees.
And we want to find the value of y, when x = 45°.
And our equation is:
y = a*cos(x) + b
Notice that we have two variables in our equation, a and b, then we need to choose two of the points in the table to write equations.
I will choose te points
x = 0°, y = 10
and
x = 90°, y = 4
Now we can replace these values in the equatio to get:
10 = a*cos(0°) + b
4 = a*cos(90°) + b
We know that:
cos(0°) = 1
cos(90°) = 0
(because of those relationships is that i choosen these points)
Replacing that in the equations, we get:
10 = a*1 + b = a + b
4 = a*0 + b = b
From the second equation, we get:
b = 4
Now we can replace this in the first equation to get:
10 = a + b = a + 4
10 - 4 = a = 6
Then our equation is:
y = 6*cos(x) + 4.
Now we want to find the value of y when x = 45, to do it, we just replace the value of x in that equation:
y = 6*cos(45°) + 4 = 6*(√2/2) + 4 = 8.24
7th grade math help me please :)
Answers
Answer:
8x+10y cannot be simlified because they do not have a common variable
so until you find the value for x and y u cannot simplify
Answer:8 x+ 10 y can not be simplified .
Step-by-step explanation:
Explanation:This is because the term are not the same.8x has the term x while 10 y has the term y.
8. (01.05 MC)
Which of the following equations represents the greatest value of x? (5 points)
Equation 1 Equation 2 Equation 3 Equation 4
x2 = 35 x3 = 64 = 125 x2 = 38
x3 =
Equation 1
Equation 2
Equation 3
Equation 4
Answers
equation 4 is the greatest
Option C - Equation 3
Step-by-step explanation:
We have given the following equations:
Equation 1
when we solve the equation 1 we get, x= 4.89
Equation 2
when we solve the equation 2 we get, x= 4
Equation 3
when we solve the equation 3 we get, x= 5.29150
Equation 4
when we solve the equation 4 we get, x= 5
From above data Equation 3 has the greatest value of x.
3.(02.07)
Two similar triangles are shown below:
a
5
6
2.5
3
Which two sets of angles are corresponding angles? (4 points)
Za and Zd; Zb and 20
Za and Zc; Zb and zd
Za and Ze; Zb and zd
d
Za and Ze; Zb and ZC
Answers
Answer A
Step-by-step explanation:
The solution is, <a and <d; <b and <c, these two sets of angles are corresponding angles. of the triangles. So, correct answer is A. <a and <d; <b and <c.
Here, we have,
When two triangles are said to be similar, the ratio of the corresponding sides of both triangles is always the same, also, their corresponding angles are congruent. That is, they are equal.
The 2 set of angles that are corresponding angles of the two similar triangles given in the question above are:
<a and <d; <b and <c.
Both set of angles are congruent to each other. In other words, they are equal.
To learn more on angle click:
brainly.com/question/28451077
#SPJ7
Trey has 75 in his saving account. Each month he deposits 25 into the account. Which expression shows the amount of money that Trey deposits in 3 months.
Answers
Answer: 75 + 25(3)
Step-by-step explanation:
From the question, we are informed that Trey has 75 in his saving account and that each month he deposits 25 into the account.
The expression that shows the amount of money that Trey deposits in 3 months would be:
= 75 + 25m
where, m = number of months
= 75 + 25(3)
= 75 + 75
= 150
2. Draw a line 1. Draw a perpendicular to lat any point on /
is
not required)