Look at the triangles shown below.
z
2
6
E
А
3 D
Which statement is true?
(Ity)
O SinceAAEC ~AADB according to the side-angle-side similarity postulate, then
2 6
(aty)
SinceAAEC ~AADB according to the side-angle-side similarity postulate, then
2
9 3
o SinceAAEC ~AADB according to the angle-angle similarity postulate, then
(1+y)
6 3
o Since AAEC ~AADB according to the angle-angle similarity postulate, then
(1+y)
NOH OH
T
Answers
Answer:c
Step-by-step explanation:
The statement which is true for the given expression triangle is, 9/(x + y) = 3/x. So option c is correct.
What is similarity of triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"
Given that,
One right angle triangle, ΔAEC
one segment BD which is intersecting sides AC & AE
ΔAEC has one similar triangle inside, which is ΔADB
Triangle ΔAEC and ΔADB similar,
So, we can say ΔAEC ≈ ΔADB
For the given similar triangles,
we can use angle-angle similarity property,
so, AE/AC = AD/AB
⇒ (3+6)/(x + y) = 3/x
⇒9/(x + y) = 3/x
Hence, the Statement C is correct
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Related Questions
g(x)=1/6(8)^x-5. x=9
Answers
Answer:
[tex]g(9) = \frac{2048}{3}[/tex]
Step-by-step explanation:
Given
[tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]
[tex]x = 9[/tex]
Required
Solve
Substitute 9 for x in [tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]
[tex]g(9) = \frac{1}{6}(8)^{9-5}[/tex]
[tex]g(9) = \frac{1}{6}(8)^{4}[/tex]
Remove bracket
[tex]g(9) = \frac{1}{6}* 8^4[/tex]
[tex]g(9) = \frac{1}{6}* 4096[/tex]
[tex]g(9) = \frac{1* 4096}{6}[/tex]
[tex]g(9) = \frac{4096}{6}[/tex]
Simplify fraction
[tex]g(9) = \frac{2048}{3}[/tex]
does anyone have the answer please I’m begging.
Answers
Answer:
B
Step-by-step explanation:
V = area of base * hight ; consider the base the triangle
V= (b*h of triangle /2 ) * h of figure
V= (6*8/2)*13 = 312 cm³
The Franklins inherited $3,500, which they want to invest for their child's future college expenses. They use the following formula to calculate the value of their investment over time, where
A = value of the investment after years, P = principal invested, r = annual interest rate, and n = number of times compounded per year.
A = P(1 +
you
71
If they invest the inherited money at an annual rate of 8.25% with interest compounded monthly, what is the value of the account to the nearest dollar, after 5 years?
Answers
Answer:
1443.75 i think
Step-by-step explanation:
Thus, Franklin has $5011 after 5 years for an annual rate of 8.25% with interest compounded monthly.
The Franklins inherited $3,500, which they want to invest for their child's future college expenses. Using formula [tex]A = p(1+r/n)^{nt}[/tex]
where A is the value of the investment after t years, P is the principal invested, r is the annual interest rate and n is the number of times compounded per year.
an annual rate of 8.25% with interest compounded monthly, what is the value of the account to the nearest dollar, after 5 years is to be determined.
Statistic is the study of mathematics which deal with relations between comprehensive data.
Using formula [tex]A = p(1+r/n)^{nt}[/tex]
[tex]A = 3500*(1+0.0825/12)^{12*5}\\A = 3500*(1+0.006)^{60}\\A = 3500*(1.006)^{60}\\A = 5011.25\\[/tex]
A ≈ 5011
Thus, Franklin has $5011 after 5 years for an annual rate of 8.25% with interest compounded monthly.
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what's the answer to this
Answers
what percent is 25 out of 72
Answers
Answer:
35%
Step-by-step explanation:
It’s 34.722222222222%, but if you round it up, it’s about 35%.
Mary is baking cookies, and the recipe calls for 1 1/2 cups of sugar. If she has 6 1/3 cups of sugar left after she bakes the cookies, how much sugar (s) did she have before she started baking cookies? Which equation would you use to solve for (s)?
Answers
Answer:
7 5/6
Step-by-step explanation:
1 1/2= 1 3/6
6 1/3= 6 2/6
1 3/6
+6 2/6
————-
7 5/6
John owns a hot dog stand. His profit, in dollars, is given by the equation P(x) = -x + 10x + 34, where x is the number of hot dogs sold. What is the most he can earn?
O A. $39
OB. $59
O C. $99
O D. $25
Answers
ajajjajaakkqkqoqqoq
while shopping for clothes jacklyn spent $38 less than 2 times what Daniel spent. Jacklyn spent $10. Write and solve an equation to find out how much daniiel spent. Let x trepresent what daniel spent.
Answers
3x−8 dollars. Since Tracy spent $10, we can write the equation:
3x-8 = 10
3x = 18
x = 16
so Daniel spent 6$
I need help ASAP have a picture
Answers
Of the 80 students in the student body, 60 voted for the winning candidate. What percent voted for the winning candidate
Answers
Answer:
20 studenti fac laba on a romania
Answer:75%
Step-by-step explanation:
Total no. of students= 80
No. of students who voted the winning candidate=60
% of students that voted for the winning team=60/80 x 100%
Solve the inequality: -3x > 15
Answers
The value of x in given equality -3x > 15 is -5.
We have given that inequality,
-3x > 15
We have to find the value of x.
What is inequality?A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two
Divide both sides by -3.
−3x /−3 > 15 /−3
x<−5
Therefore the value of x is -5.
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the total for a restaurant bill is $95.20 if the bill is split among 8 friends equally, how much will each person pay
Answers
Answer:
11.90
Step-by-step explanation:
A class of 50 students is divided into two groups. One group has 8 more students than the
other. How many students are in each group?
$76 nor week plus S16 for each sale
Answers
Answer:
Step-by-step explanation:
Question 5
How much food can this container hold? Express your
answer in terms of pi.
Answers
PLEAE HELP I WILL GIVE BRAINLIST can someone please help with 4,5,6 and use the box method on a paper please I need this ( show work ) please!
Answers
The sum of three decimal numbers is 6. Exactly one of the numbers is less than 1. What could the numbers be? Show your work.
Answers
Answer:
4, 1.6, .4
add them together
you get 6
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
The unknown measures 40
Step-by-step explanation:
Use the proportion that derives from the properties of parallel lines intersected by common transversals:
X/24 = 25/15 and solve for x
x = 25 * 24 / 15
x = 40
Graph the line with the equation y = 1/5 x - 5 , ILL MARK BRAINLIST
Answers
Answer:
The line will cross point (0,-5) and (25,0)
Step-by-step explanation:
Proved graph in the picture using desmos graphing software
evaluate f(x)=x/x-5 when x=3
Answers
Answer:
Step-by-step explanation:
3/3-5=3/-2
6. Pleassss helppp!
VALERIE
Select all of the expressions that are equivalent to 4(2x + y + 2y).
8x+12y
6x + 7y
8x+y+2y
8x+4y+8y
31 tds airastorg/student/V996/Pages/TestShellaspx
Answers
Answer:
Step-by-step explanation:
First expand the expression so you know the coefficients of x and y.
4(2x+y+2y) = 4(2x+3y) = 8x+12y
8x+12y = 8x+12y
6x+7y ≠ 6x+12y
8x+y+2y = 8x + 3y ≠ 8x+12y
8x+4y+8y = 8x+12y = 8x+12y
The equivalent expression is 8x + 4y + 8y.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
4(2x + y + 2y)
This can be simplified as,
8x + 4y + 8y
Thus,
The equivalent expression is 8x + 4y + 8y.
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WILL MARK BRAINLYIST
Answers
Answer:
D = 45 and C = 26
Step-by-step explanation:
The bigger triangle has a 90 degree corner add that to 64 and you will get 164 (all of the triangles angles have to add to 180) from 180 subtract 164 and you get 26 which is C's answer
For D just divide 90 by 2 (90/2)=45
Answer: The person up their is correct
D = 45 and C = 26
Step-by-step explanation:
The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.
https://magoosh.com/math/how-to-find-the-measure-of-an-angle/
:D that's where I got my information pls mark me brainlyist
Which ordered pair is NOT included in a graph of y=x+5?
Answers
HELP A B OUT HELP A B OUT HELP A B OUT HELP A B OUT
Answers
Measure of angle BCA= 55
Measure of angle B= 76
Can one of you guys pls help
Answers
Answer:
Puts the dots where the A,B,C,D dots are and move them 5 units to the right.
Example:
Original place
A=(2,5)
Moved 4 units to the right:
A'=(6,5)
Here are some tips:
Up= Y value goes up
Down= Y value goes down
Right= X value goes up
Left X value goes down
A self-serve frozen yogurt store sells servings up to 12 ounces. It charges $0.50 per ounce for a serving between 0 and 8 ounces, and $4 for any serving greater than 8 ounces and up to 12 ounces.
Answers
Answer:The answer is graph B.
Step-by-step explanation: It keeps going up at 0.50 because that is the price PER OUNCE for a serving between 0-8 ounces. The line on the graph is going straight at 4 because that is the price for ANY SERVING over 8 ounces/up to 12 ounces.
The maroon team and the orange team played a game of football. The maroon team scored 20 points and the orange team scored 6 points. What is the ratio of points scored by the maroon team to points scored by the orange team?
Answers
Answer:
20/6 or 10/3
Step-by-step explanation:
Translate each of the following English statements into logical expressions. The domain is the set of all real numbers. (a) There are two numbers whose ratio is less than 1. (b) The reciprocal of every positive number is also positive. (c) There are two numbers whose sum is equal to their product. (d) The ratio of every two positive numbers is also positive.
Answers
Step-by-step explanations:
Since the domain is a set of all real numbers, all the expression are with respect to real numbers.
a. 3 x,y : x/y < 1 ∧ y/x < 1
b. ∀x > 0, 1/x > 0
c. 3 x,y : x + y = xy
d. ∀x > 0 ∧ y > 0, x/y > 0 ∧ y/x > 0.
3 means "there exists"
∀ means "for every value of"
∧ means "and"
Write 125 as a fraction
reduced to lowest terms.
Answers
Answer:
1/8
Step-by-step explanation:
—> 125/1000
Divide by 25:
5/40
Divide by 5:
1/8
y + 2x = -1
y = 1/2x + 4
Answers
Answer:
x = -1
y = 3
Step-by-step explanation:
y + 2x = -1
y = 1/2x + 4
(1/2x + 4) + 2x = -1
1/2x + 2x + 4 = -1
2 1/2x + 4 = -1
2 1/2x = -1 - 4
2 1/2x = -5
x = -5 / 2 1/2
x = -2
y + 2x = -1
y + 2(-2) = -1
y - 4 = -1
y = -1 + 4
y = 3
Convert 6.3 m to millimeters
Answers
Hi. 6.3 meters to millimetres is 6300
