Answer:
A and D
Step-by-step explanation:
These dot plots show the ages (in years) for a sample of two types of fish. Wat are the differences between the centers and spreads of these distributions? Select two choices: one for the centers and one for the spreads.
A. Centers: The sharks have a lower median age than the koi.
B. Spreads: The ages of the sharks are more spread out.
C. Centers: The sharks have a greater median age than the koi.
D. Spreads: The ages of the koi are more spread out.
When <span>b = 10
</span><span>
1. 2(10 + 4) = 16
28 </span>≠ 16 FALSE
<span>
2. 2(10 + 2) = 40
24 </span>≠ 40 FALSE
<span>
3. 3(10 – 2) = 24
24 = 24 TRUE
4. 2(8 + 10) = 42
36 </span>≠ 42 FALSE
<span>
5. 3(10 – 4) = 20
18 </span>≠ 20 FALSE
<span>
Answer is
</span><span>3. 3(b – 2) = 24</span>
Answer:
Option b. 
Step-by-step explanation:
step 1
In the right triangle ABC
<em>Find the sine of angle CAB</em>
---> the sine of angle CAB is equal to divide the opposite side angle CAB (BC) by the hypotenuse (AC)
substitute
simplify
---->equation A
step 2
In the right triangle BDC
<em>Find the sine of angle CBD</em>
---> the sine of angle CBD is equal to divide the opposite side angle CBD (DC) by the hypotenuse (BC)
substitute
----> equation B
step 3
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
Triangles ABC and BDC are similar by AA Similarity Theorem
therefore
m∠CBD≅m∠CAB
equate equation A and equation B
solve for DC
step 4
Find the value of AD
substitute the values
1/2+1/2 could be a possibility.
