The information to fill one the box regarding the proof include:
- AB = CD
- AD = CB
- BD is common to both triangles
<h3>How to illustrate the proof?</h3>
It should be noted that when two triangles of each corresponding sides are equal, then it's said that they are similar.
Here AB = CD, and AD = CB as they illustrate the fact that they are parallel.
Learn more about flowchart proof on:
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Answer:
<h2>$66</h2>
Step-by-step explanation:
Step one:
given data
charges
$4 per bag
$10 weekly fee
let the number of bag be x
and let the total charges be y
<em>the linear function for the total per week is</em>
<em>y=4x+10</em>
Step two:
the independent variable is the weekly fee of $10
for x=14
y=4(14)+10
y=56+10
y=$66
<span>87 less than the quotient of an unknown number and 43 is -75
Converting that to mathematical equation:
87 - (x / 43) = -75
Evaluating the equation, we can the value of x.
87 - (x/43) = -75
-x/43 = -75 - 87
-x/43 = -162
-x = -6966
x = 6966</span>
Answer:
B
Step-by-step explanation:
because we just multiply the bottom equation by - and we eliminate 7y. now we have -2x=-10 to get x we divide -10 by -2 and get the answer
Given:
The ratio of red and blue cubes is 4:7.
After adding 10 more red cubes the ratio of red and blue cubes is 6:7.
To find:
The number of blue cubes.
Solution:
The ratio of red and blue cubes is 4:7.
Let the number of red and blue cubes be 4x and 7x respectively.
After adding 10 more red cubes.
Number of red cubes = 4x+10
Then, the ratio of red and blue cubes is 6:7.





Divide both sides by 14.

Now,
Number of blue cubes in the bag is

Therefore, the number of blue cubes is 35.