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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9 1/4 + 8 3/4 + 7 1/2 + 7 1/2?
Answer:
Your answer is 33.
Step-by-step explanation:
7 1/2+7 1/2=15
9 1/4+ 8 3/4=18
18+15=33
The fractions have to have like denominators in order to add
Hope this helps
find the length of hypotenuse of a right triangle with legs of 8 and 15
Answer:
17
Step-by-step explanation:
(8×8) + (15×15) = 289
square root of 289 is 17
1 3/8 ÷ 1 2/3
quotient in lowest terms
Answer:
=33/40
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
118÷53
Applying the fractions formula for division,
=11×38×5
=33/40
=33/40
5x + 3y = -3
2X - 3y = 24
Answer:
Y=-5/3x-1
y=2/3x-8
If you are adding then it is:
7x=21
x=3
Step-by-step explanation:
5x+3y=-3
3y=-5x-3
y=-5/3-1
2x-3y=24
-3y=-2x+24
y=2/3x-8
Answer:
If you add the two equations, you get
-5x = -10
Step-by-step explanation:
it might be wrong
Solve the system of equations by elimination.
2x - y + 3z=-1
x + 2y - 4z=-1
y – 2z=0
Answer:
x = -1, y = 2 and z = 1
Step-by-step explanation:
The given system of equations are :
2x - y + 3z= -1 ....(1)
x + 2y - 4z = -1 ......(2)
y – 2z = 0 .....(3)
Equation (3) can be written as :
y = 2z
Use y = 2z in equation (2)
x + 2(2z) - 4z = -1
x + 4z - 4z = -1
x = -1
Put the value of x in equation (1) :
-2 -y +3z = -1
-y+3z = 1 ....(4)
Adding equation (3) and (4)
y-2z+(-y+3z)=1
z = 1
Now put z = 1 in equation (4)
-y+3=1
-y = -2
y = 2
Hence, the values of x,y and z are -1, 2 and 1 respectively.
y−4=7(x−6) what is the ordered pair solution for this problem
pls help will give brainliest
Three families track their distance while traveling to the band competition each family recorded data in different form which family has the fastest speed Rodriguez family Martin family or brown family
Answer:yaba
Step-by-step explanation:
yaba
Find the volume of the rectangular prism
Answer:
Should be 9 in.
Engineers are planning a new bridge to cross a small river. Surveyors created the diagram to show where the bridge would cross the river. What is the distance across the river where the new bridge will be built?
Answer:
56.25 feetStep-by-step explanation:
As per diagram, the two triangles are similar, as all angles are congruent (one is vertical, one is right, one is the
Let the distance across the river be x.
The ratio of corresponding sides is same. Find x using ratios:
x/45 = 75/60x = 45*75/60x = 56.25 feetAnswer:
56.25
Step-by-step explanation:
I took the quiz.
if the circumference of the greatest circle of a sphere is
[tex]\pi \: cm \: find \: its \: volume[/tex]
Answer:
hlo buddy
Step-by-step explanation:
The formula for the volume of a sphere is V = 4/3 πr³.
What is 7 divided by 9.8?
Answer:
The answer is 0.71
Step-by-step explanation:
I divided it
Classify the triangle with side lengths of 16, 13, and 12 as acute, right, or obtuse
Answer:
16+13+12=41
Step-by-step explanation:
it is acute
At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling.
The expression for S, expressed in terms of t, which represents the amount of snow on Audrey's lawn, is as follows:
S = 0 - 2t
When the storm first began, there were 10 inches of snow in Audrey's yard. This can be shown as a constant value.
2 inches of snow melt each hour when it first starts to melt. We deduct 2t from the initial depth of snow since it gets shallower with time. Here, t denotes the number of hours that have passed since the snow ceased falling.
Determine the depth of the snow on Audrey's lawn at various times by changing the value of t in the equation.
For example, if we substitute t = 1 into the equation,
S = 10 - 2(1) = 10 - 2 = 8
This indicates that 8 inches of snow would be present in Audrey's yard once the snow stopped falling in one hour. To get the depth at various times, you may similarly insert different values for t.
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Write an inequality for the graph below.
Answer:
(1,-2) They are only asking for one inequality which is like (-3,0) which is the other point.
Step-by-step explanation:
HELP I NEED SOMEONE VERY GOOD IN MATH TO ANSWER 7-12 PLEASE THIS IS DUE :(
Write the area as a sum and as a product
Answer:
0+5+20= 25 the answer is 25
can you please answer the question tyy
Answer:
Step-by-step explanation:
What I can see from this are many things. First of all, the girls achieved a higher score than the boys since the girls got a higher mean then the boys. This means that if we were to take the average score of each gender, the girls got a higher score. To find the average/mean you need to find the sum of the data set then divide it with the number of data entries. The boys had a smaller range than the girls, which means that the scores the boys achieved were closer than the girls. The higher the range the more likely your data is scattered. The lower your range, the more likely your data is contained of similar numbers. You figure out the range but subtracting your highest data point from your lowest data point.
What is the quotient of 3/4 divided by 1/5?
The quotient is
3 and ___________
Answer:
The quotient is 3 and [tex]\frac{3}{4}[/tex].
Step-by-step explanation:
To find the quotient of the division (which is just the solution, really), we have to solve the division itself:
[tex]\frac{\frac{3}{4}}{\frac{1}{5}}[/tex]
[tex]= \frac{3 \cdot 5}{1 \cdot 4}[/tex]
[tex]= \frac{15}{4}[/tex]
Now that we know the quotient, we can look at the question itself to find it requires from us an answer with a whole number in it.
Therefore, we transform the fraction as thus:
[tex]\frac{15}{4}[/tex]
[tex]= 3 \frac{3}{4}[/tex]
Therefore, the final answer is 3 and [tex]\frac{3}{4}[/tex].
Hope this helped!
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Seven times some number, added to 3, amounts to -25 added to the product of 3 and the number. Find the number.
7x+4=3x-20
Subtract 3x to the left.
4x+4=-20
Subtract 4 to the right.
4x=-24
Divide -24/4 to isolate variable "x".
x=-6
Plug it back it to prove the solution.
7(-6)+4=3(-6)-20
-38=-38
please mark as brainlistAnswer:
7x+3=-25+3x
minus 3 on both sides
7x=-28+3x
minus 3x both sides
4x=-28
divide 4 both sides
x=-7
the number is -7
-6n-4n please help because I have an improvement test
Answer:
-10n
Step-by-step explanation:
-6n-4n=-10
find the domain of the graphed function
Answer:2 < x < 5
Step-by-step explanation:
I should look like this but with lines under the less than symbol
The domain of the graphed function is x ∈ (2,5), which is defined in the interval 2 < x < 5.
If the parent function is y = x² and it is defined in the x-coordinate interval 2 < x < 5, the domain of the graphed function would be the same interval, namely 2 < x < 5.
The domain of a function represents the set of all possible input values (x-values) for which the function is defined.
Here, since the parent function y = x² is defined for all real numbers, the domain of the graphed function will also be all real numbers within the specified interval, which is 2 < x < 5.
Thus, the domain of the graphed function is x ∈ (2,5).
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Solve 5x2 + 25 = 0 (question from algebra 1)
Answer:
well if the x is an multiplication then your answer would be False
Step-by-step explanation:
5*2+25=0
35=0
False
In the following equation the letter x is known as the:
3x+1=10
Answer: X = 9
Step-by-step explanation:
First, Take 1 away from 10. 10 - 1 = 9. Then divide 9 by three. 9 divided by three is 3, so X = three.
At a country concert, the ratio of number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many boys are at the concert?!
PLSSSSSSSS I NEED HELP ASAP PRETTY SURE THIS IS BEING GRADED!! GIVING BRAINLIEST AND 40 POINTS!!
Answer:
100 boys at the concert
Step-by-step explanation:
When changing the ratio between the number of boys to the number of girls, it always has to be equivalent to the original ratio 2:7
So, convert the ratio 2:7 to a different ratio, but it still has to be equivalent to the ratio 2:7. By doing that, multiply both sides of the 2:7 ratio by 50:
2 : 7
×50 ×50
To get:
100:350 ⇒ This ratio means that the ratio between the number of boys to the number of girls is now 100:350, but that’s okay to have because it’s still equivalent to the original 2:7 ratio.
So, using the new ratio 100:350, this means that there are 100 boys at the concert and 350 girls at the concert, and 350 is 250 more than 100 which proves what the question is asking. So there are 100 boys at the concert.
Answer: 100 boys at the concert
I hope you understand and that this helps with your question! :)
Hannah buys 13 bottles of orange juice at the corner store for a total of $13.65. if each bottle cost the same amount, how much is each bottle of juice
A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party.
The table below shows the cost of hosting a private party for a certain number of
guests.
Answer: 775
Step-by-step explanation: $15 for each guest (so you need to multiply 15 by 45) then add the $100 setup fee!
How do I solve this equation by completing the square. X^2 - 12x = -20
Answer:
I got x=2
Step-by-step explanation:
1. Simplify the quadratic equation into its standard form
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Ax^2 +Bxc=0
Simplify the equation by subtracting everything to the right of the equal sign from both sides of the equation and combining like terms.
x^2-12x+0=-20
x^2-12x+0+20=0
x^2-12x+20=0
The Quadratic formula provides the solution for Ax^2 +Bxc=0, in which A, B, and C are numbers (or coefficients), as follows:
The coefficients of our equation, x^2-12x+20=0, are:
A = 1
B = -12
C = 20
Simplify 64 by finding its prime factors.
We first calculate the expressions inside the parentheses from left to right and from inner to outer.
x=12-8/2
x=4/2
x=2
There are 12 squares and 20 triangles. What is the simplest ratio of squares to triangles?