Answer:
"associative"
Step-by-step explanation:
The associative property lets you change the grouping of terms of a sum or of a product.
___
For example, you can rewrite
(5 + 4·3) -2
as
5 + (4·3 -2)
but the associative property does NOT allow you to change the grouping to ...
(5 +4)·3 -2 . . . . . not a valid rewrite
You found CD from the Pythagorean theorem to be ...
... CD = √(5² -2²) = √21
Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:
... AC/AD = AB/AC
... AB = AC²/AD
... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle
_____
Then the area (A) is ...
... A = (1/2)bh
... A = (1/2)(12.5)(√21) ≈ 28.64 square units
_____
As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...
... ADC ~ CDB ~ ACB
You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.
Answer:
75+75×15/100=75+11.25=86.25$
I think “c” is the correct answer. I am not sure
Answer:
21.142
Step-by-step explanation:
not sure it's correct
