The 3rd option, x=75y=35.
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:
a=2,b=4. (3a+b)=3*2+4=10.
Answer:
A, B, E
Step-by-step explanation:
I attached everything that I thought it would help you.
Hope this helps ;) ❤❤❤
Answer:
3 pounds for 90 cents.
Step-by-step explanation:
The 5 pound bag costs 32 cents a pound
The 3 pound bag is 30 cents a pound
