Answers
For ΔKXD, x = 21
Similar triangles:"The triangles that have corresponding sides in proportion to each other and corresponding angles are equal."
For given question,
ΔAGM is similar to ΔKXD
This means,
[tex]\frac{AG}{KX} = \frac{GM}{XD} = \frac{AM}{KD}[/tex]
Consider,
⇒ [tex]\frac{AG}{KX} = \frac{GM}{XD}[/tex]
⇒ [tex]\frac{32}{x+3} = \frac{36}{x+6}[/tex]
⇒ [tex]32\times (x+6) = 36\times (x+3)[/tex]
⇒ [tex]32x+192=36x+108[/tex]
⇒ [tex]4x = 84[/tex]
⇒ x = 21
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Related Questions
Two customers went to the post office to buy postcards and large envelopes. Each postcard costs the same amount and each large envelope costs the same amount.
● The first customer paid $12 for 14 postcards and 5 large envelopes.
● The second customer paid $24.80 for 10 postcards and 15 large envelopes.
What was the cost in dollars of each large envelope?
1. $1.42
2. $1.15
3. $0.63
Answers
Answer:
The first one $1.42
Step-by-step explanation:
1.42x5=7.1 (cost of all envelopes)
12-7.1=4.9
4.9/14=0.35 (one postcard)
10 postcards= 3.5
1.42x15=21.3 (cost of all envelopes)
3.5+21.3=$24.80
please answer this question
Answers
Answer:
D. 1,300
Step-by-step explanation:
If 30% of students failed their last test, and there were 40 students that took the test, how many students failed?
Answers
Answer:
12.
Step-by-step explanation:
30% of 40 is 12. To calculate x% of a number y, we use the following rule: x% of y = (x / 100) × y.
Determine if x=2 is a solution.
Answers
Answer:
Do you have a picture for the problem that you want to be solved?
9. The diameter of the Earth is 7899.83 miles from the North Pole to the South Pole and 7926.41 miles from opposite points at the equator.
a. Find the approximate surface area of Earth using each measure.
b. About 75% of Earth's surface is covered by water. Find the surface area of water on Earth, using the diameter of the Earth is 7926.41 miles from opposite points at the equator.
Answers
Answer:
We could think of the Earth as a sphere, where the diameter of this sphere will the mean diameter between the measure from the North pole to the Soth pole and the measure from opposite points of the equator.
Remember that the mean between two numbers A and B is:
Mean = (A + B)/2
In this case, the mean diameter will be:
D = (7,899.83mi + 7,926.41mi)/2 = 7,913.115 mi
And we know that the surface of a sphere of diameter D is:
S = 4*pi*(D/2)^2
Where pi = 3.14
Then the surface of the Earth will be something like:
S = 4*3.14*(7,913.115mi/2)^2 = 196,618,601.47 mi^2
b) We know that 75% of the Earth's surface is water, now we will use the diameter 7,926.41 mi to compute the surface.
First, the total surface of the Earth will be:
S = 4*3.14*(7,926.41mi/2)^2 = 197,279,843.03 mi^2
And 75% of this is water, then the total water surface is 0.75 times that area, this is:
water surface = 0.75*197,279,843.03 mi^2 = 147,959,882.27 mi^2
How much interest would $4000 earn in one year at a rate of 3.2%?
Answers
Explanation:
I = P x R
I = 4000 x 3.2/100
I = 128$
A park has the dimensions indicated in the diagram. Which expression represent the perimeter of the park?
Answers
Answer:
78m.
Step-by-step explanation:
Since we are not given any dimension we can use the following dimension.
Let the park be rectangular in nature
Length = 25m
Width = 14m
Perimeter = 2(L+W)
Perimeter = 2(25 + 14)
Perimeter = 2(39)
Perimeter = 78m
Hence the perimeter of the park is 78m.
Note that the dimension were assumed and any values can be used using similar calculation.
A hummingbird weighed w ounces. One day the hummingbird drank 8 times its weight in water and ate half its weight in food. Which equation can be used to find t, the combined weight of the water and the food, in ounces, that the hummingbird had on this day?
t = w + 8 - 1/2
t = w +8 + 1/2
t = 8w + w/2
t = 2w + 2/8
The "/" represent fractions not dividing
Answers
i hope this helps :)
What are the steps, in order, needed to solve 3x + 4 = 13?
Answers
Answer:
3
Step-by-step explanation:
First, subtract 4 from both sides. When you do this, that leaves you with: 3x=9. Then, divide 9 by 3 to get x by itself. x=3
Answer:
Find out what X is (X = 3) , Multiply X times three, add your new number with 4.
3 x 3 + 4 = 13
Please help me by answering my question
Answers
Q. At the gas station Jessie purchases a candy bar for $1.25, a drink for $2.58 and a bag of
Takis for $3.24. What will Jessie spend on a sales tax if it is 3.2%?
Answers
Estimate the value of y when x =2.5
Both of them
Answers
Step-by-step explanation:
[tex]y = {2.5}^{2} - 2(2.5) - 3 [/tex]
-1.75
Here we need to learn how to read a graph.
In a normal graph we have the inputs (the values of x) in the horizontal axis and the outputs in the vertical axis.
Here we want to see what is the value of y for the blue graph when x = 2.5
We will find y = -1.5
(the blue graph is the one that corresponds to: y = x^2 - 2x - 3)
To find this:
The first thing we need to do is find x = 2.5 in the horizontal axis.
Now that we found it, we need to draw a vertical line, and see at which point of the blue graph this vertical line intersects the curve. At that point we draw an horizontal line that intercepts the vertical axis.
At that point we have the y-value
You can see an example of this, a good estimation by only looking at the graph is y = -1.5
For the other point, the value of x when y = 1.
We do exactly the same thing but in the inverse order, we first find y = 1
Then we draw an horizontal line that intercepts the graph
Then we draw a vertical line that intercepts the x-axis and we find the value.
We can see that for y = 1 we have x = 3.2 aprox.
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Help please true or false?
Answers
Juanita is making bread. She needs 3 1/2 cups of flour. Juanita only has 1/4 measuring cup. How many cups of flour will Juanita u see to prepare the bread
Answers
Answer:
if she uses a 1/4 measuring cup she would need to get 14 1/4 cups of flour
Step-by-step explanation:
If you were to flip a coin 20 times, what is the probability you will get at least 13 heads?
Answers
Answer:
A good chance because getting heads is most likely what you will get
Step-by-step explanation:
will mark you as BRAINLIEST
Answers
Answer:
11^-2 = 0.0082644628
11^-1 = 0.0909090909
11^0 = 1
11^1 = 11
11^2 = 121
$2,300 invested at 7.5% for 10 years. In simple interest
Answers
Answer:
here's the answers............
Help this is seventh grade fractions.
Answers
Answer:
3/8
2/3
(3/8)(3/2) = 9/16 pages/1 minute
Step-by-step explanation:
A minicar race is being held in Shipton. There are 4 students from Westview School who have entered it. There are 7 students from Eastmont School who have entered. How many students from both schools have entered the race? "_______ students from both schools have entered the race."
Answers
Answer:
11 students
Step-by-step explanation:
In order to solve this problem, you would simply need to add the provided number of students from each school together. This would give you the total number of students from all of the aforementioned schools that have decided to enter the race.
4 + 7 = 11 students
Therefore, we can see that a total of 11 students from both schools have entered the race.
If white light is made up of all colors, how can you tell what color an object is.
Answers
Answer:
See explanation
Step-by-step explanation:
White light is composed of seven different wavelengths. This can easily be established by using a prism to separate the various wavelengths that constitute white light.
How come we get to tell if an object has a particular colour? We get to know colours because the observed colour of an object is the wavelength that is reflected by that object.
An object that absorbs all other wavelengths in the spectrum of white light but reflects red light will appear red to the eye.
PLEASE HELP NO SPAM! BRAINLIEST AND 5 STARS!
Answers
Answer:
has 3 sides
The formula for sum of interior angles is S = (n - 2) * 180. Therefore, 1980° = (n - 2) * 180. or, (n - 2) = 1980 / 180 = 11. or, n = 13
Step-by-step explanation:
that should be the answer
ur welcome
hope it helps
Pls help. I don't know how to do this and pls don't answer if you don't know the answer.
Answers
Answer:
m = 3 5/18
All you need to do is rewrite the equation as 8 1/9- 4 5/6
The scale on a map is 1 cm equals 10 miles. Find the length on the map of 300 miles, 150 miles, 60 miles, and 170 miles. List your answers in numerical order.
Answers
Answer:
30 cm = 300 miles
15 cm = 150 miles
6 cm = 60 miles
17 cm = 170 miles
The length of maps of 300miles, 150 miles,170mile and 60 miles are 30cm ,15cm, 17cm and 6cm respectively.
What is unit conversion?
A method of converting from one unit to another.
According to the given question we have
1cm = 10miles
⇒ 1mile = [tex]\frac{1}{10} cm[/tex] = 0.1cm
Therefore, the length on map of
300 miles = 300 × 0.1 = 30cm150 miles = 150 × 0.1 = 15cm170 miles = 170 × 0.1 = 17cm 60 miles = 60 × 0.1 = 6cmLearn more about unit conversion here:
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HELP ASAP PLEASE
7a. Find the value of x. (Hint: How many sides does the shape have?)
5x
4x + 2
5x + 5 5
x-10
2x-2
2y - 1 3x+5
Your answer
!
This is a required question
7b. Find the value of y."
Your answer
This is a required question
Answers
Answer:
x = 36
y = 34
Step-by-step explanation:
✔️Sum of the interior angles of an n-sided polygon = (n - 2) × 180
Thus, the figure given is a hexagon with 6 sides.
Therefore, the sum of its interior angles = (6 - 2) × 180
= 4 × 180 = 720.
This means:
(5x) + (4x + 2) + (5x + 5) + (2x - 2) + (3x + 5) + (x - 10) = 720
Solve for x
5x + 4x + 2 + 5x + 5 + 2x - 2 + 3x + 5 + x - 10 = 720
Add like terms
20x = 720
Divide both sides by 20
x = 36
✔️(2y - 1) + (3x + 5) = 180 (angles on a straight line)
Plug in the value of x
2y - 1 + 3(36) + 5 = 180
2y - 1 + 108 + 5 = 180
Add like terms
2y + 112 = 180
Subtract 118 from each side
2y = 180 - 112
2y = 68
Divide both sides by 2
y = 68/2
y = 34
if f(x) =3/4x+5/6 what is f(12)
Answers
Answer:
59/6
Step-by-step explanation:
Multiply 3/4 with 1212 x 3 will become 36 and divided by 4 is 99 + 5/6 cannot be added because they do not have the same denominator. Next you have to multiply 9/1 with 6/6 so that it has the same denominator as 5/6The problem will now become 5/6 + 54/6Now you can add the numerators and get the answerThe answer is59/6Three is less than the sum of a number x and 4.
Answers
Answer:
3 < x+4
Step-by-step explanation:
The less than symbol is <
3 is less than the sum ( add) of x and 4
3 < x+4
Solving
Subtract 4 from each side
3-4 < x+4-4
-1 <x
Anyone got an answer?
Answers
Answer: I am learning this right now, and the right answer is c
Step-by-step explanation: If you set it up correctly it is going to be a fraction, and d cannot be solved so that leaves you with c.
(x+5)(x-2) Expand and simpliy
Answers
Step-by-step explanation:
x(x-2) +5(x-2)
x² -2x + 5x -10
x² + 3x - 10
Answer:
the answer is x^2 + 3x - 10 I guess!
Step-by-step explanation:
This is an algebraic equation so-
4/7 of students at a school are boys if there are 2184 students at the school how many Are girls ?
Answers
Answer:
About 936 are girls
Step-by-step explanation:
Take the fraction 3/7, since that is the remaining proportion of students that are girls, and multiply it by 2184.
1245 to be exact
please put brainleyist
Does anyone know how to do this?? I don’t understand. I need help please ASAP! Tysm
Answers
17. 30
19. 58
21. 55
23. 23