Answer:
a). ΔABC ~ ΔBDC
b). m(BD) = 6 units
Step-by-step explanation:
If ΔABC ~ ΔBDC,
a). Ratio of the corresponding sides of both the triangles will be equal.
Since Ratio of the corresponding sides are same, therefore, both the triangles are similar.
b). 
BD = 
BD = 6
<em /><em>PURPLE MARBLES=P
WHITE MARBLES=W
</em>First, write out an equation showing the number of purple marbles.
P=5W-6
Then, write out the main equation.
W+P=96
W+5W-6=96
Add 6 to both sides.
W+5W=102
6W=102
Divide both sides by 6
W=17
Now that we know there are 17 white marbles, we can go back to the equation about how many purple marbles there are.
P=5W-6
Plug in the value for W, which is 17.
P=5(17)-6
P=85-6
P=79
To make sure your answer is correct, check your work by plugging in the values for P+W=96.
79+17=96
Answer: There are 79 purple marbles.
60 inches because the square has 4 sides so 4x2 is 8 and 52+8 is 60.
Answer:
86.7cm
Step-by-step explanation:
((5.95x5.1)/2)x4=60.69
5.1x5.1+60.69=86.7cm
good luck!
Follow the order of operations
1. parentheses (13+5) = 18
2. multiplication 21*(13+5) = 21*18 = 378
3. add 9 + 21*(13+5) = 9 + 378 = 387
Hope this helps!
