Answers
The length of the side x of the triangle ADE is 16.5 units.
What are similar triangles?If the sides are in the same ratio or proportion and the angles are equal (corresponding angles), two triangles will be similar (corresponding sides). When compared individually, similar triangles may have different side lengths, but they must all have the same ratio of their side lengths and equal angles.
From figure, it is given that:
AB = 3 units
BC = 2 units
AD = x units
DE = 11 units
We know that the triangle ABC ~ ADE.
Therefore, the ratio of corresponding sides of the triangles will be same.
Now,
AB/ AD = BC/ DE
3/x = 2/11
Cross multiply to get:
2x = 3(11)
2x = 33
x = 33/2
x = 16.5 units
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Related Questions
12x – 6 + 4 – 5x = 26
Answers
the digit 8 in which number represents 0.08
Answers
Answer:
c
Step-by-step explanation:
2 spaces after the decimal
What is 36 divided by 3/4 in simplest form?
Answers
Answer:
48
Step-by-step explanation:
3/4 becomes 0.75 in decimal form
36/0.75=48
The solution of 36 divided by 3/4 in simplest form is,
⇒ 48
We have to given that,
To simplify 36 divided by 3/4 in simplest form.
It can be written as,
⇒ 36 ÷ (3/4)
⇒ 36 × 4/3
⇒ 12 × 4
⇒ 48
Therefore, The solution of 36 divided by 3/4 in simplest form is,
⇒ 48
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If p percent of q is r what percent of r is q
Answers
Answer:
10000/p.
Step-by-step explanation:
r = pq/100
pq = 100r
q = 100r/p
As a percentage of r:
we have P = q * 100/r
P = 100r/p * 100/r
= 10,000r / rp
= 10000/p
Match the following. Given D = {x | x is a whole number} E = {x | x is a perfect square < 100} F = {x | x is an even number between 10 and 20} 1. D ∩ (E ∪ F) {1, 4, 9, 16, 25, 36, 49, 64, 81, 12, 14, 18} 2. D ∩ E {1, 4, 9, 16, 25, 36, 49, 64, 81} 3. D ∪ (E ∩ F) {12, 14, 16, 18} 4. D ∩ (E ∩ F) {all whole numbers} 5. D ∩ F {16}
Answers
The values of the set functions after the matching are:
D∩F = FD∩E = EDU(E∩F) = DD∩(E∩F) = {16}D∩(EUF) = {1,,4,9,12.14,16,18,35,36,47,64,81}What do we mean by different types of sets' functions?The intersection of two sets is represented by ∩.This refers to shared values between the sets under consideration.U represents the union of two sets.This includes all values from all sets considered.So, we have D = {x | x is a whole number}.
Then: D = {0,1,2,3,4,5,6,7,8,.........}Similiarly, E = {x | x is a perfect square < 100}.
So: E = {1,,4,9,16,35,36,47,64,81}Similarly, F = {x | x is an even number between 10 and 20}.
Then: F = {12,14,16,18}Now, D∩E = The common values from sets D and E.
Here we have: = E (all perfect square < 100 )D∩F = F
Where: This means all even numbers between 10 and 20}Now, D∩(E∩F) = {16}.
Then: E∩F = {16}Hence, The only value common to both set D and E∩F is 16.DU(E∩F) = D ( This means all whole numbers)
Then we can say: E∩F = {16}D∩(EUF) = {1,,4,9,12.14,16,18,35,36,47,64,81}
We obtain: EUF = {1,,4,9,12.14,16,18,35,36,47,64,81}Therefore, the values after the matching are:
D∩F = FD∩E = EDU(E∩F) = DD∩(E∩F) = {16}D∩(EUF) = {1,,4,9,12.14,16,18,35,36,47,64,81}Know more about sets functions here:
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Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point.
(3, 2)
Answers
Answer:
exterior
Step-by-step explanation:
You want to know if (3, 2) is an interior or exterior point of the circle defined by (x -5)² +(y +3)² = 25.
Distance from centerWe can find the square of the distance of the point from the center of the circle using the equation for the circle.
(x -5)² +(y +3)² = r²
(3 -5)² +(2 +3)² = 4 +25 = 29 > 25 . . . . use (x, y) = (3, 2) in the equation
The point is farther away from the center than points that are on the circle. The point (3, 2) is an exterior point.
5/6 divided by 3/5 =
A. 18/25
B. -25/18
C. 25/18
D. -18/25
Answers
Answer: 25/18 ==> C
Step-by-step explanation:
5/6 divided by 3/5=
5/6 / 3/5 =
5/6 * 5/3 = ==> dividing by a number is the same as multiplying by its reciprocal
5*5/(6*3)=25/18 ==> C
the cordinate point of X on PQ such that PX to XQ is 2:1 is (geometry pcture below help)
Answers
The value is XY : QR = 1 : 3
What is similarity?Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.
Given: Δ PQR, Point X and Y are on sides PQ and PR,
XY || QR
In Δ PQR
∠PXY = ∠PQR ( Corresponding angles )
∠PYX = ∠PRQ ( Corresponding angles )
Now, In ΔPQR and ΔAXY
∠P = ∠P ( common )
∠PXY = ∠PQR ( given )
∠PYX = ∠PRQ ( given )
ΔPQR ~ ΔAXY by AAA similarity Criteria.
We get,
PX/ XQ = PY/PR = XY/QR
PX/ XQ = PY/PR = 1/2
PQ = 1 + 2 = 3
PX/ PQ=1/3
hence, the ratio is XY : QR = 1 : 3
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1) Write 35/
37
in lowest term
Answers
Answer:
it is already lowest terms
Step-by-step explanation:
please i need help with this
Answers
1. Finding the first five numbers in each sequence is as follows:
Sequence 1: 0 2 4 6 8 10Sequence 2: 0 4 8 12 16 20.2. The ordered pairs with the corresponding terms of the sequences are (0, 0), (2, 4), (4, 8), (6, 12), (8, 10), and (10, 20).
3. For the graph, I cannot draw one for you, but Sequence 1 will be on the Y-axis, starting with zero, and Sequence 2 on the X-axis.
The line intercepts will subsequently meet at (2, 4), (4, 8), (6, 12), (8, 10), and (10, 20).
What is a sequence?A sequence is an ordered pattern of numbers or objects.
The length of a sequence describes the number of elements.
Data and Calculations:Pattern rule for Sequence 1: Start with zero and add 2
Pattern rule for Sequence 2: Start with zero and add 4
Sequence 1: 0 2 (0 + 2) 4 (2 + 2) 6 (4 + 2) 8 (6 + 2) 10 (8 + 2)
Sequence 2: 0 4 (0 + 4) 8 (4 + 4) 12 (8 + 4) 16 (12 + 4) 20 (16 + 4)
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Using the equation from #5, (d=20g) how many miles can a car drive if it has 13 gallons of gas?
Answers
Answer:
If d meaning mile it will be 20x13
Dylan wants to buy a book for 16.95 and a magazine for 4.50
Answers
Dylan needs $ 21.45 for the purchase of both books and the magazine.
Addition refers to the basic operation of mathematics where we find the sum of two or moe numbers.
We are given that:
Dylan wants to buy two things:
1. she wants to buy a book for $ 16.95
2. she wants to buy a magazine for $ 4.50
So, the total money that she needs will be calculated by adding the prices of both the products.
So, by using addition, we get the total money required by Dylan as:
Total money = $ 16.95 + $ 4.50
Total money = $ 21.45
Therefore, we get that, Dylan needs $ 21.45 for the purchase of both books and the magazine.
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You start at (5, -4). You move up 6 units and down 1 unit. Where do you end?
Answers
Answer:
(5, 1)
Step-by-step explanation:
-4+6-1=1.
Find the students mistake then find the correct x-intercepts for the graph of the function.
Answers
The value of the given equation the value of x : (3 , -10)
What is a quadratic equation in mathematics?Definitions: A quadratic equation is a second-order polynomial equation in some kind of a single variable x ax2+bx+c=0. Because it is a second-order polynomial problem, the fundamental theorem of fundamental algebra guarantees therefore it has at least one solution.
Briefing:the student haven't solved the equation properly he has not expanded the equation:
According to the given data:
The given equation is f(x) = (x - 3)² - 10
(x - 3)² - 10 = 0
this could be expand and write as:
x² + 9 -6x - 10 = 0
x² -6x -1 = 0
The vertex of an up-down facing parabola of the form y=ax^2+bx+c is Xv.
The parabola params are:
a=1, b=-6, c=-1
[tex]\:x_v=-\frac{b}{2a}[/tex]
[tex]x_v=-\frac{(-6)}{2 \cdot 1}[/tex]
Xv = 3
Putting x = 3 to get the value of y
we get:
y = -10
(3 , -10)
The value of the given equation the value of x : (3 , -10)
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If PR = 24 and RS = 11, what is PS?
PS = 42
PS = 13
PS = 27
PS = 35
Answers
The length of the line segment PS will be 35 units when PR is 24 units and RS is 11 units.
We are given the length of two line segments as:
PR = 24 units
RS = 11 units
Now, we need to find the length of PS.
We will use the operation of addition here as PS will be equal to the sum of PR and RS. Addition refers to the basic operation of mathematics that is used to simplify and evaluate an expression or an equation.
So, we get that:
PS = PR + RS
Substituting the values, we get that:
PS = 24 units + 11 units
PS = 35 units
Therefore, we get that, the length of the line segment PS will be 35 units when PR is 24 units and RS is 11 units.
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Pablo had 638 grams of cashew nuts and 594 grams of peanuts. He mixed the nuts and packed them into 7 packets. Each packet of nuts had a mass of 120 grams. How many grams of nuts did Pablo have left?
Answers
The nuts left with Pablo after using 840 g of nuts to make 7 packets is 392 g.
We are given that:
Pablo has
Cashew nuts = 638 g
Peanuts = 594 g
He now has mixed the nuts.
Total amount of nuts will be calculated by using addition.
Total amount of nuts = T = 638 g + 594 g
T = 1232 g
He has made a total of 7 packets and in each packet, he has put 120 g of nuts.
Total nuts used = 7 × 120 g = 840 g
Nuts left with Pablo = 1232 g - 840 g
Nuts left = 392 g
Therefore, we get that the nuts left with Pablo after using 840 g of nuts to make 7 packets is 392 g.
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Distinguish what a ray, line segment and line are in your own words. Then, compare
and contrast the three geometric figures.
Answers
Answer: A ray starts from a point and goes to infinity. A line has no end points. A line segment has two endpoints. A line segment connects both endpoints.
Step-by-step explanation:
did this explain it
The graph to the right uses cylinders to
represent barrels of oil consumed by two
countries. Does the graph distort the data or
does it depict the data fairly? Why or why not?
If the graph distorts the data, construct a
graph that depicts the data fairly.
Does the graph distort the data? Why? Or Why not?
A. Yes, because 3D objects always distort the data in graphs.
B. Yes, because the graph incorrectly uses objects of volume to represent the data.
C. No, because the graph is technically correct.
D. No, because the proportions are accurate.
Answers
The correct option regarding whether the graph distorts the data is:
B. Yes, because the graph incorrectly uses objects of volume to represent the data.
What is the correct graph for the amounts in the problem?When we are showing absolute amounts of two or more data-sets, the correct representation should be of graphs like histograms or bar graphs.
For this problem, the objective is to show the daily oil consumption in two countries, and they are shown as the volumes of a cylinder, which gives the idea that the amount in country A is considerable more than 4 times country B, that is, distorting the data.
Conversely, a bar graph or a histogram would show the right ratio between these two amounts.
Hence the correct option is:
B. Yes, because the graph incorrectly uses objects of volume to represent the data.
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Mr. Richmond wants to purchase notebooks for his students. Each notebook costs $1.60. Mr. Richmond has
$60. What is the most amount of notebooks Mr. Richmond can purchase?
Answers
Answer: 37 Notebooks
Step-by-step explanation:
Set up and inequality equation where x is the unknown amount of notebooks Mr. Richmond can purchase.
1.60x less than or equal to $60.
Inverse Operations 60/1.60 = 37.5
But, round down, since you can't buy half a notebook so;
Mr. Richmond can purchase 37 notebooks.
Solve 2 - ax = -8 for x. Assume a ≠ 0
Answers
The expression is simplified to x = 10/ a
What is subject of formula?Subject of formula is defined as a variable which is expressed in terms of other variables involved in a given formula or expression.
Given the expression;
2 - ax = -8
Let's make 'x' the subject of formula
collect like terms
-ax = -8 - 2
Subtract like terms
-ax = - 10
Divide both sides by -a
-ax/ -a = - 10/-a
Find the ratio
x = 10/ a
Thus, the expression is simplified to x = 10/ a
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How is the product of a complex number and a real number represented on the complex plane?
Consider the product of 2−4i and 3.
Answers
The product of a complex number and a real number represented on the complex plane is 6 - 12i
Complex numberComplex number is a number expressed in the form a + ib
where
a is the real part
b is the imaginary part
Given the complex and real number as shown;
3(2−4i)
Using the distributive law;
3(2) - 3(4i)
6 - 12i
Hence the product of a complex number and a real number represented on the complex plane is 6 - 12i
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Which point on the number line best represents
A Point A
B Point B
C Point C
D Point D
A
45°
B C
-3
?
2+
Answers
Answer:
A 45 the only reason why I choose number one because you said which point on the line on the bed response point a point b point c point d a 54 or whatever but yeah because50 POINTS HELP PLEASE
Graph the system of inequalities. Show at least two points for each inequality. (Lesson 1.08)
Answers
Answer:
54fhuuyfghhhrfbifgifd
The number line below is correctly represented by which of the following intervals?
Answers
The intervals that represent the number line is c) {[tex]x|-8\leq x < 3[/tex]}
Which intervals are included in the number line?
It is a means of expressing subsets of the real number line. The numbers between any two particular provided numbers are referred to as an interval. For instance, the interval containing 0, 5, and all other integers between 0 and 5 is the set of values x satisfying [tex]0\leq x\leq 5[/tex].
Numbers from [tex]x=-8[/tex] (inclusive because the circle is closed) to [tex]x=3[/tex](exclusive because the circle is closed) make up the painted range.
Hence,{ [tex]x|-8\leq x < 3[/tex]}
Therefore, the intervals that represent the number line is
c){[tex]x|-8\leq x < 3[/tex]}
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how do i solve this?
Answers
what is the total capacity in gallows of a rectangular tank 5 meters in height knowing that it will hold 200 liters per foot?
Answers
729.1 is the total capacity in gallows of a rectangular tank .
What is rectangle?
The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.1 Foot height can store = 200 ltrs
Height of tank = 5 m = 500/30.48 = 16.4 ft
Total Capacity = 200 * 16.4 =3280.8 ltr
There were several gallons in use. One gallons is roughly = 4.5 ltr
Hence the capacity in gallon = 3280.8/4.5 = 729.1
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23=2 rearrange the equation to solve for f
Answers
Answer:
23 doesn't equal 2
Step-by-step explanation:
2x+y+2z=2
2x-7y-8z=-2
-2x+4y+3z=8
Answers
Answer:
0
Step-by-step explanation:
forgotten sorry
Steve went on holiday.
He recorded the number of photos he took each day.
Steve saves his photos on a memory card.
The memory card has 1000 megabytes of memory space.
Each photo uses 2.4 megabytes of memory space.
Steve has saved 320 photos on the memory card.
Work out how many more photos Steve can save on the memory card.
Answers
help me find the measures
Answers
c=26
d=31
You can church my answer by substituting them in and finding the inner two missing angles. per triangle all three angles should add up to 180.