Answer:
Option D. dilation and reflection
Step-by-step explanation:
we know that
A reflection, rotation and a translation transformations, creates a triangles that are congruent
A dilation transformation, create a triangles that are similar
therefore
the answer is the option D
Answer:
80 cm / 180 cm / 120 cm
Step-by-step explanation:
the smallest common multiple of 3, 4 and 2 is 12.
so, to be able to truly compare these fractions we need to bring all denominators to .../12.
1/3 = 4/12
3/4 = 9/12
1/2 = 6/12
in total we have therefore 19 (4+9+6) equally large parts of the ribbon that are then combined :
4 parts for the first segment.
9 parts for the second segment
6 parts for the third segment.
so, one part is
380 cm / 19 = 20 cm
therefore the first segment of the ribbon is
4×20 = 80 cm long
the second segment
9×20 = 180 cm long
the third segment
6×20 = 120 cm long
Answer:
12=12
Step-by-step explanation:
2a = b
a -3b =12
To solve, set one of the equations equal to zero. The first equation is actually already set to 0.
b = 2a
Now you can plug this equation into the other one, by substituting the b in the equation with this.
a -3b = 12
a – 3(2a) = 12
Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).
a – 6a = 12
Combine like terms. Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs
6-1 = 5
And take the sign of the larger number. Since 6 is large and 6 is negative, we are left with
-5a = 12
Now solve for a, which in this case means dividing both sides by -5
a = -12/5
Simplify
a = -2.4
Now that you have a, it’s easy to find b
b = 2a
b = 2(-2.4)
b= -4.8
Now you check your work by plugging your new a and b into either equation to see if it’s true.
-4.8 = 2(-2.4)
-4.8 = -4.8
And just for laughs let’s try the other equation
a -3b =12
-2.4 – 3(-4.8) = 12
Distribute the 3 again. Remember that when two negative numbers are multiplied they become positive.
-2.4 +14.4 = 12
12 = 12
Answer:
The answer to your questions are:
15.- 45 mg
16.- 25 kg
17.- 185 pounds
18.- 6 mg
Step-by-step explanation:
D = (a M) / (a + 12)
15.-
a = 4 years
M = 180
D = (4 x 180) / (4 + 12) = 720 / 16
D = 45 mg
16.- 1 pound --------------- 0.4535 kg
55 pounds ------------ x
x = 55 x 0.4535 / 1
x = 24.94 ≈25 kg
17.- 1 pound --------------- 0.4535 kg
x --------------- 84.09 kg
x = 84.09x 1 /0.4535
x = 185.42 pounds
18.- M = 18 mg what is 1/3 of the adult dose?
M = 18/3 = 6 mg
Answer:
15/56
Step-by-step explanation:
5/8 x 3/7 = (5x3)/(8x7) = 15/56
Hope it helps!
