Answer:
{ x | x < 5}
Step-by-step explanation:
2(4 x + 3) < 5 x + 21
8x + 6 < 5x + 21
3x < 15
x < 5
Answer
{ x | x < 5}
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:
15
Step-by-step explanation:
so when we make 1 1/2 into an improper fraction it is 3/2 so what do they have in common, that is 15/10 so its 15
If the 3 is supposed to be replaced by any x's, then the answer would be 29 I believe.
Answer:
I'm only going to find the value of each variable
Step-by-step explanation:
V,Z,W,Y=39
X=94
Sorry, I didn't know how to explain the relevant angle relationships. '-' :(
