Answer:
The area of triangle ABC is 16 times larger than the area of triangle DEF
Step-by-step explanation:
Step 1: Re-state the input
Given two triangles ABC and DEF are similar with ratio k.
Step 2: Derive the information
Suppose that the triangle ABC is k times larger than triangle DEF.
=> It means that all sides and heights of triangle ABC are k times larger than corresponding sides and heights of triangle DEF.
For example:
AB = k x DE
AC = k x DF
BC = k x EF
=> AB + AC + BC = k x (DE + DF + EF)
=> Perimeter of triangle ABC is k times larger than perimeter of triangle DEF
Step 3: Solve the problem step-by-step
Suppose that AH is the height from vertex A to base BC of triangle ABC and DH' is the height from the vertex D to base EF of triangle DEF.
As the above assumption states:
AH = k x DH'
BC = k x EF
Multiply both sides of the two above equations:
=> AH x BC = DH x EF x k x k
Simplify k components:
=> AH x BC = DH x EF x k^2
Multiply (1/2) to both sides:
=> (1/2) x AH x BC = (1/2) x DH x EF x k^2
Apply the formula to calculate the area of a triangle:
=> Area of triangle ABC = Area of triangle DEF x k^2
In other words:
The area of triangle ABC is (k^2) times larger than area of triangle DEK.
Here, the perimeter of triangle ABC is 4 times larger than the perimeter of triangle DEF => k = 4
Step 4: Make the conclusion
=>The area of triangle ABC is (4^2 = 16) times larger than area of triangle DEK.
Hope this helps!
:)
Given that: 2√2−√5 / 3√2+2√5 = =
Answer:
7√10/2 - 11
Step-by-step explanation:
(2√2−√5) / (3√2+2√5)=
(3√2-2√5)(2√2−√5)/(3√2+2√5)(3√2+-2√5)=
(12+10-3√10-4√10)/(18-20)=
(22-7√10)/-2= 7√10/2 - 11
Select the correct solution in each column of the table.
Solve the following equation.
18
12 + 6s
Examine the given table, and select the accurate number of each type of solution, as well as any real solutions that exist.
Number of
Real Solutions
Number of
Extraneous
Solutions
Real Solutions
0
0
x = 0
1
1
x= 3
2
x = 0, x= 3
N
Answer:
Number of Real Solutions = 1
Number of Extraneous Solutions = 1
Real Solutions = (x = 3)
Can someone help me on these two questions?
Answer:
in figure 1 the value of X is 20° and figure 2 the value of X is 19° and y is 123°
Which equation is a function of x?
A. x = 5
B. x = y squared + 9
C. x squared = y
D. x squared = y squared + 16
Answer:
C: X^2= Y
I got it right on Edge
Answer:
Pretty sure its x2 =y
Step-by-step explanation:
9) Find the midpoint of the line segment with the given endpoints: (6,3), (-2,7)
A. (-10, 11)
B. (2,5)
C. (4,-2)
D. (-1,0)
Answer:
B. (2,5)
Step-by-step explanation:
Given
Points: (6,3), (-2,7)
Required
Midpoint
Midpoint is calculated as follows:
[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Where
[tex](x_1,y_1) = (6,3)[/tex]
[tex](x_2,y_2) = (-2,7)[/tex]
So,
[tex]x_1 = 6; y_1 = 3; x_2 = -2; y_2 = 7[/tex]
By substituting these values in the given formula
[tex](x,y) = (\frac{6-2}{2},\frac{3+7}{2})[/tex]
[tex](x,y) = (\frac{4}{2},\frac{10}{2})[/tex]
[tex](x,y) = (2,5)[/tex]
Hence, the midpoint of the line segment is (2,5)
Solve for n
n+1 = 4(n-8)
0 n = 1
On = 8
0 n = 11
0 n = 16
I need help on my algebra. :)
Answer:
Option B
Step-by-step explanation:
Consider the steps below;
[tex]3x - 4y = 25,\\3x + 2y = 1\\\\3x - 4y = 25,\\+ ( - 3x - 2y = - 1 )\\\\- 6y = 24,\\y = - 4\\\\3x - 4y = 25,\\3x - 4 * ( - 4 ) = 25,\\3x + 16 = 25,\\3x = 9,\\x = 3\\\\Solution, x = 3, y = - 4[/tex]
To solve this system of equations, I applied process of elimination, which I thought was most convenient. Multiplying the bottom equation by - 1, I added both equations to cancel out the x's and solved for the value of y. Substituting this value of y into the top equation, I solved for the value of x;
Solution ⇒ Option B
Which expression represents the greatest common factor (GCF) of 105 and 126? A. 3 x 7 B. 2 x 5 x 7 C. 2 x 3 x 7 D. 5 x 7
(HELP AS FAST AS YOU CAN PLEASE!!!!!)
Answer:
Step-by-step explanation:
factors of 105:
1, 3, 5, 7, 15, 21, 35, 105
factors of 126:
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCF: 3*7 or 21
The GCF ( 105, 126) = 3 *7 =21.
What is GCF?The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Given:
105 = 3 * 5 * 7
126 = 2 * 3* 3 *7
So, GCF ( 105, 126) = 3 *7 =21
Learn more about GCF here:
https://brainly.com/question/9737217
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GUYS PLS I NEED HELP
Answer:
z = 75°
Step-by-step explanation:
You can see that CGE and FGD are vertical angles.
FGD = 15°
Now you have a 90° angle, a 15° angle, and a z° angle. They add up to 180°
105° + z° = 180°
z = 75°
Answer:
75 degrees...
Step-by-step explanation:
if you look at the diagram, the angle with 15 degrees is the same as the one opposite!
So we know that it is on a right angled corner, so all the angles here should add up to 90 degrees!
Now we do 90 degrees - 15 degrees
This gives us 75 degrees!
So x = 75 degrees!
HOPE THIS HELPS!!
One angle is
angle is 65 degrees, the other is
90 degrees, what is my missing angle?
What is my first and last name?
Answer:
your missing angle is
90+65 = 155
180-155 = 25
so your missing angle is 25 degrees
Lisa wears 10 rings in her hand. Each ring weights 250 grams. Find the
weight of all the rings in kilogram.
Answer:
2.5 kilograms
Step-by-step explanation:
10 rings times each weight ring(250)=2500
2500 grams to kilograms is 2.5
Is anyone good at this? Can you answer some of the questions I cant figure out?
Answer:
sure, what questions?
Step-by-step explanation:
Answer:
Sure what are the question
Step-by-step explanation:
Find m∠YOZ in the figure if m∠XOZ = 86°.
Question 1 options:
A)
65°
B)
7°
C)
42°
D)
43°
One part of the angle is 3x, and the other part is 6x+23, so putting them together gets 9x+23=86. Subtract the 23 and we get 9x=63. We know that 9•7=63, so x=7, and now we can solve the angle. 6x=42, and 42+23=65, so the answer is:
A) 65°Answer:
A. 65
Step-by-step explanation:
First, you would need to find x.
You would combine both equations it would become, 6x+23+3x=86.
Then, combine like terms, 9x+23=86.
And subtract 23 from both sides, 9x = 63.
Lastly, divide both sides by 9.
x = 7
Now with the equation 6x+23, you replace x with 7, 6(7)+23.
Then multiply 42+23, and add 42+23= 65.
The math club needs to raise more than $552.50 for a trip to the state competition. The club
has raised 12% of the funds. Which inequality shows how much money each of the 7 club
members needs to raise if each raises the same amount?
A
m< $69.45
В
m> $69.45
C
m<$72.35
D
m> $72.35
Answer:
A or B
Step-by-step explanation:
Leaning more towards B- u want the club to earn more not less
The correct inequality is m> $69.45
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
The math club needs to raise more than $552.50 for a trip to the state competition.
The club has raised 12% of the funds.
To represent the inequality we have to perform the following function
=552.50 x 0.12
=66.3
The amount remained= 552.50 - 66.3 = $486.2
So, for the 7 members = 486.2/7
= $69.45
Hence, the inequality is m>$69.45
Learn more about inequality here:
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solve this system of linear equations, separate the x- and y-values with a comma. -4x=-60-19y -7x=-48-19y
Answer:
The solution is at (-4,-4).
Step-by-step explanation:
(-4x=-60-19y)-1 Multiply by -1
4x = 60 + 19y
-7x = -48 - 19y Add both equations together
-3x = 12 Divide both sides by -3
x = -4
Plug this into the first equation to find the value of y
-4(-4) = -60 - 19y Multiply
16 = -60 - 19y
+60 +60 Add 60 to both sides
76 = -19y Divide both sides by -19
y = -4
Change the mixed number into an improper faction 6 5/12
Answer:
77/12
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
12 × 6 = 72
Step 2
Add the answer from Step 1 to the numerator
72 + 5 = 77
Step 3
Write answer from Step 2 over the denominator
77/12
=12×6+512= 77/12
Answer:
77/12
Step-by-step explanation:
You multiply the whole number by the station's denominator. You will get 72.
Then you add the 72/12 and 5/12 together.
You will get 77/12.
pls help show ALL work
Answer:
B. 5.81
Step-by-step explanation:
So to get this answer, you'd first find how much square inches are on the cheese. We know its 9/10 of the pizza and the pizza is 215 square inches. To find out what is 9/10 of the pizza you'd multiply 215 by 9 then divide by 10. That'd leave you with 193.5 then you multiply that by the cost $0.03 then get 5.805 which rounds up to 5.81.
pls help on this question
*image
Answer:
216 2/3
Step-by-step explanation:
yoys : frents
6 : 13
We have 100 yoys
100/6 =50/3
Multiply by 50/3
yoys : frents
6 *50/3 : 13*50/3
100 : 650/3
As a mixed number
650/3 frents
216 2/3
Please help!!! WILL MARK BRAINLIEST ANSWER!!! A medical researcher designs a study that will investigate the effects of a
new drug on lowering patient's cholesterol level. The researcher randomly
selects participants for two groups. One group is given the new drug and the other group is given a placebo. Any person, within driving distance of the hospital, is allowed to participate and will be given a monetary compensation. Each sample consists of 5 patients. Select all weaknesses in the design.
b. more groups should have been
Answer:
C AND D
Step-by-step explanation:
HELP!!!
Solve for x given that CE = 36.
Show your work
Answer:
x=7
Step-by-step explanation:
CE = 36
CE = 9+(3x+6) = 9+6+3x = 15+3x
36= 15+3x
36-15 = 15-15+3x (removing 15 from left side also means removing 15 from right side)
21 = 3x
x= 21/3 = 7
Answer:
x=7
Step-by-step explanation:
First, I wrote down the equation.
3x+6=36-9
Then, I simplified it.
3x+6=27
Then, I moved the six from the right to the left.
3x=21
After that, I divided both sides by 3.
x=7
Yay! You got your answer!
does anyone know the answer to this ?
Answer:
the horse walked 20 feet away i think
Step-by-step explanation:
i say this because it shows an arrow from a horse to the 20 square feet
Answer:
Step-by-step explanation:
it is a three quarter circle with radius=7.1 ft
reqd. area=3/4 πr²
=3/4×π×7.1²
≈3/4×3.14×7.1²
≈118.72 ft²
If the graph of the polynomial intersects the x-axis at two points, then the
polynomial has how many
zeros.
Answer:
Two zeroes
Step-by-step explanation:
A zero is where the graph meets the x-axis. If it hits the axis twice, there are two zeroes.
Expand the binomial using Pascal's triangle
(3x+5)
Answer:
Step-by-step explanation:
0. 1
1. 1 1
2. 1 2 1
3. 1 3 3 1
4. 1 4 6 4 1
5. 1 5 10 10 5 1
6. 1 6 15 20 15 6 1
7. 1 7 21 35 35 21 7 1
8. 1 8 28 56 70 56 28 8 1
Solve for y
-1 + y/8< 15
А. У<7/4
B. y < 2
C. y < 112
D. y<128
Answer:
D. y < 128
Step-by-step explanation:
-1 + y/8 < 15
y/8 < 15 + 1
y/8 < 16
y < 16 × 8
y < 128
Answer:
Y<128
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
1/8y-1<15
Step 2: Add 1 to both sides.
1/8y-1+1<15+1
1/8y=16
Step 3: Multiply both sides by 8.
(8)*(1/8y)<(8)*(16)
Y<128
The interior angles of triangle ABC measure 34°, 63°, and xº. The Interior angles of
triangle DEF measure yº, 63°, and 83º.
Which statement is true?
The triangles are similar because y=34 and there are three pairs of congruent
angles.
The triangles are similar because they each have an interior angles that
measures 63º.
The triangles are not similar because x does not equal y.
The triangles are not similar because y does not equal 34º.
Answer:
the triangles are similar because y=34 and there are three pairs of congruent angles
Step-by-step explanation:
this is correct because all of the angles in a triangle add up to 180, so if y = 34 then 34 + 63 + 83 = 180
this also means x is equal to 83 which means both triangles share all of the same angle measures
Can someone help me out, I'm having trouble on these two questions.
Answer:
Step-by-step explanation:
7,A=9*6sin30°
=54*0.5
A= 27
8,A=6*10sin60°
A= 60*0.86
A=52....... approximately
9, A=1/2bh
A=0.5*x*xroot 3
A=root3/2 x^2
You can find x using trigonometric values
Will Give Brainilest If Correct:
True or False:
0 is neither positive or negative.
Answer:
true
Step-by-step explanation:
0 is one of the many things in life that make no sense.
// have a great day //
Answer:
True
Step-by-step explanation:
0 is like the barrier between positive and negative numbers.
So the answer is true.
Mind helping me out a bit? (Which of the rectangular boxes shown has the greater volume?) (Will give Brainliest if you are the first person, and IF YOUR CORRECT) ^.^
Answer:
Both are equal in volume
The table represents a liner function. What is the slope of the function?
O-3
O-2
O 3
O 4
Answer:
The slope is 3.
Step-by-step explanation:
Let's use the slope formula to calculate the slope of this function. Remember, slope equals rise over run, or the difference between y coordinates divided by the difference between x coordinates of 2 points on the graph.
Let's use the last 2 points in the table: (1, 7) and (2, 10)
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
= [tex]\frac{10 - 7}{2 - 1}[/tex]
= [tex]\frac{3}{1}[/tex]
The slope of this function is 3!
Hope this helps :) Feel free to ask me any questions!
what number is being factored in this factor tree?
Answer:
164
Step-by-step explanation:
82 multiplied by 2
Answer:
164
Step-by-step explanation:
2 *82=164
