Answer:
19
Step-by-step explanation:
if the triangles are similar then EG/BC = FG/BD
51/(x+4) = 57/(2x-7) cross multiply expressions
102x - 357 = 57x + 228
102x - 57x = 228 + 357
45x = 585 divide both sides by 45
x = 13
BD = 2x -7 and 13×2 - 7 = 19
Answer:
Ratio of girls to students = 4 : 7
Step-by-step explanation:
Number of boys= 12
Number of girls= 16
Total number of students= 12+16= 28
Number of girls to number of students=
= 
Ratio of girls to students = 4:7
<em>Hope this helps.</em>
we know that
A number is an inequality solution if the number satisfies the inequality
<u>Part 1)</u> 
rewrite the inequality

The answer Part 1) is the option D 
Because
satisfies the inequality
-----> is true
<u>Part 2)</u> 
The answer Part 2) is the option A 
Because
satisfies the inequality
-----> is true
<u>Part 3)</u> 
we're going to verify every case
<u>case A)</u> For 
substitute the value of x in the inequality

------> is true
therefore
The number
is a solution
<u>case B)</u> For 
substitute the value of x in the inequality

------> is not true
therefore
The number
is not a solution
<u>case C)</u> For 
substitute the value of x in the inequality

------> is not true
therefore
The number
is not a solution
<u>case D)</u> For 
substitute the value of x in the inequality

------> is not true
therefore
The number
is not a solution
therefore
The answer Part 3) is the option A 
Answer:
4
Step-by-step explanation:
The function is given as 5c+cd, c=1/5 and d=15d.
We evaluate by substituting the given values of c and d in the function:


After substituting, we find the function's equivalent as 4.
Hence, the value of the function is 4
You would distribute so
(8b+3)(2b-9)
foil it to get
16b^2-72b+6b-36
simplify to 16b^2-66b-36