to solve 3(2x+1) you need to multiply. so 3 times 2x is 6x and 3 times 1 is 3 making the final answer to be 6x+1
Answer:
Proved
Step-by-step explanation:
Given: EC || AC, DB || AC, ∠A = ∠F
Prove: ΔMDF ∼ ΔNCA
Solution
See diagram attached to the solution to better understand the following workings.
Redrawing ΔMDF or rotating to be facing the same direction.
EC is parallel to AC
DB parallel to AC
Using similar triangle theorem:
If ΔMDF ∼ ΔNCA
Ratio of Corresponding sides would be equal
(adjacent of ΔMDF)/(adjacent of ΔNCA) = (Opposite of ΔMDF)/(opposite of ΔNCA) = (hypotenuse of ΔMDF)/(hypotenuse of ΔNCA)
DF/ CA = MD/NC = FM/AN
∠A = ∠F
∠M = ∠N
∠D = ∠C
Since the ratio of Corresponding sides and angle are equal, ΔMDF is similar to ΔNCA.
ΔMDF ∼ ΔNCA
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Answer:
(b) Congruent Figures
Step-by-step explanation:
Reflections, rotations, and translations are called "rigid transformations" because they do not change the size or shape of the figure. The image is always congruent to the original.
On the other hand, dilations change the size of the figure, so the image is <em>not congruent</em> with the original.
Rigid transformations result in congruent figures.
Well, one example would be how much space is in a cardboard box, to ship something to a friend or relative.
We know the three measurements:
L = Length, W = Width, and H = Height.
And the formula for a volume of a cube is:
V = L*W*H
So say that:
L = 6 , W = 10 Feet, and H = 3 Feet.
By using the formula above we get the equation: V = 6*10*3
And that equals: 180 Feet.
So the volume of the box, or the space you have to send something is 180 square feet.
Does this help?
The link I used for some of this info, which has other useful math models is: https://www.mathsisfun.com/algebra/mathematical-models.html
Answer:
here
Step-by-step explanation:
it is basically a sector , use the area formula i.e.
[(theta)/360]*πr^2
