Hi!
This is a fun one, as it delves into basic trigonometry.
We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,
a² + b² = c²
We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)
Let's do the one on the right first.
We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).
a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6
Therefore, the length of DC is about 7.6.
Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.
Have a great one!
Answer:
dont even know how to spell specific lol nerd
Step-by-step explanation:
Answer:
I believe the answer is A.
Step-by-step explanation:
Hope this helps
Answer:
Q (-6.6), R (-6.0), S (0.0)
Step-by-step explanation:
In the exercise we are asked to find the original coordinates with the given transforms, which means that we must apply the inverse of the indicated transformations.
Original coordinates: Q "(6, -1), R" (0, -1) and S "(0, -7)
When turning 90 ° counterclockwise, since we want the opposite, the following change occurs (the axes and the sign are inverted):
Q '(1.6), R' (1.0), S '(7.0)
Now we have to move to the left by 7 units, because it is the opposite of the right, only on the x axis, 7 is subtracted
Q (-6.6), R (-6.0), S (0.0)
To solve a problem like this, we can setup a basic algebraic equation.
52+14=x
66=x
We know this equation is true because 14 years ago, she was 52 so 14 years later, she is 66.