Twiddle_de_dumIf ΔAED is dilated to points A, C, and B, which statement is true?
A) ΔAED ~ ΔACB
B) ΔAED ≅ ΔACB
C) The area of ΔAED is half the area of ΔACB
D) The perimeter of ΔAED is one-fourth the area of ΔACB
Answers
AD is the long leg ; AE is the short leg ; DE is the hypotenuse
AD = 3 ; AE = 2 ; DE = 3.61 (use Pythagorean theorem)
Perimeter = 3 + 2 + 3.61 = 8.61
Area of a right triange = (3*2)/2 = 6/2 = 3 square unit
Dilated to ACB
AB is the long leg ; AC is the short leg ; BC is the hypotenuse
AB = 6 ; AC = 4 ; BC = 7.21
Perimeter = 6 + 4 + 7.21 = 17.21
Area of a right triangle = (6*4)/2 = 24/2 = 12 square unit
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Prove that given any 17 integers, there exist nine of them whose sum is divisible by 9.(it might help to use the fact that given any five integer you can find three whose sum is divisible by 3)
A rotating light on top of a lighthouse sends outrays of light in opposite directions. As the beacon rotates, the ray at an angle 8 makes a spot of light that moves along the shore. The lighthouse is located 500 m from the shoreline and makes one complete rotation every 2 min. Determine the equation that expresses the distance, d, in metres, as a function of time, t, in minutes.
Answers
Answers
Answer:
f(2) = 3
Step-by-step explanation:
Substitute 2 for x, and evaluate the expression.
f(x) = 2x - 1
f(2) = 2(2) - 1
f(2) = 4 - 1
f(2) = 3
which will be =3 so answer is 3
Answers
The product of 8 and a number x is equal to 32 is 4.
What is product?
A product is the result of multiplication or an expression that identifies the objects (numbers or variables) to be multiplied, called factors.
The order of multiplication of real or complex numbers does not affect the product. this is called the commutative law of multiplication. When multiplying matrices or terms of several other associative algebras, the product usually depends on the order of the factors. For example, matrix multiplication is noncommutative, as is multiplication in other algebras in general.
Given:
so the product of the two numbers (8 and x) IS equal to 32,
8x=32
x =
x = 4
To learn more about product, refer;
#SPJ2
8x=32
(-Divide 8 on both sides to isolate the variable)
x=4
(Your result is x=4) :-)
Answers
If the ratio is 5:3, then you divide 275 by 5, and then multiply it by 3. If you test the result, you'll find that the ratio fits.
Answers
Now, the equation would be,
Answer:
12 chickens and 11 pigs
Step-by-step explanation:
We know that...
Chickens have 2 feet and 1 tail.
Pigs have 4 feet and 1 tail.
Let c represent chickens.
Let p represent pigs.
We need to create two equations. One for feet, and one for tails.
Tails:
Because each animal has 1 tail, we can say that the number of pigs, (p) plus the number of chickens, (c) must equal 23. So...
c + p = 23
Feet:
Because each chicken has two feet, and each pig has 4 feet, we can say that 2 times the number of chickens, (c) plus 4 times the number of pigs, (p) needs to equal 68. So...
2c + 4p = 68
Now we have two equations.
2c + 4p = 68
and
c + p = 23
We can use the substitution method to find c and p. The substitution method involves solving for one of the variables with one of the equations, then placing it into the other equation, so that you only have one variable to solve for, which you can do with simple algebra.
Solve for c
c + p = 23
c = 23 - p
Add that to the other equation.
2c + 4p = 68
2(23 - p) + 4p = 68
Solve for p
46 - 2p + 4p = 68
46 + 2p = 68
2p = 22
p = 11
Now that we know p, we can plug that into one of the equations to find c.
c + p = 23
c + (11) = 23
c = 12
Now we have c and p.
There are 12 chickens and 11 pigs on the farm.
Answers
25% of 12 minutes = 25% * 12 = 25/100 * 12 = 3 minutes
12 minutes - 3 minutes = 9 minutes
The correct answer would be 9 minutes.
Answer: 9 minutes.
Step-by-step explanation: 12-3=9.
3 x 4 = 12, 3 x 3 x 3=9, 3 x 3 x 3 x 3=12, 4+4+4=12. So if you think about it, three goes into twelve four times, just like a quarter goes into a dollar four times, or 25 goes into 100 four times. So, if you take twelve minus three and equal it, it is nine.