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
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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:
Ir is impossible to tell.
Step-by-step explanation:
We are given that,
Stan earns $15 on Monday, $45 on Tuesday, Wednesday and Thursday and $60 from Monday to Friday this week.
Since, we do not have the individual earnings for each day, we are unable to plot the graph of the given relationship.
So, without graph it is impossible to state whether the relationship is linear or not.
its not worth 25 points but ok here u go let's solve your equation step-by-step.
3y−1=13−4y
Step 1: Simplify both sides of the equation.
3y−1=13−4y
3y+−1=13+−4y
3y−1=−4y+13
Step 2: Add 4y to both sides.
3y−1+4y=−4y+13+4y
7y−1=13
Step 3: Add 1 to both sides.
7y−1+1=13+1
7y=14
Step 4: Divide both sides by 7.
7y
7
=
14
7
y=2
Answer:
y=2 so there your answer is this equation has one solution your welcome
Answer:
I don't know if it's correct
but I tried
Step-by-step explanation:
let the angle be x
20+4x+x=180
20+5x=180
5x=160
x=32
Answer:
0.06
Step-by-step explanation:
probability of multiple of 6= 0.2
probability of multiple of 4= 0.3
0.2 * 0.3 = 0.06
