Answer:
<h2>36b + 60c</h2>
Step-by-step explanation:
Put a = 6 to the expression 2a(3b + 5c):
(2)(6)(3b + 5c) = 12(3b + 5c) <em>use the distributive property</em>
= (12)(3b) + (12)(5c) = 36b + 60c
<h3>
Answer: </h3><h3>
Yes, the triangles are similar</h3><h3>
AC = 6</h3>
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Explanation:
Focus on triangle ABC. Let's find the missing angle
A+B+C = 180
113+B+22 = 180
B+135 = 180
B = 180-135
B = 45
Between the triangles, have two pairs of angles that are congruent
A = D = 113
B = E = 45
Which is enough to prove the triangles are similar through the angle angle (AA) similarity theorem. This must mean that C = F = 22
Since we have A pair with D, and B pair with E, this means that 
The order of the letters is important so we know how the angles pair up. The first letters pair up together, the second letters pair up, and so on.
Consequently, this means sides BC and EF pair up and AC and DF pair up
We can then say...
BC/EF = AC/DF
18/12 = x/4
18*4 = 12*x
72 = 12x
12x = 72
x = 72/12
x = 6
AC = 6
Answer:
Well the slope seems rather easy to calculate because you already typed it and it is 2.
First we must solve this equation:
b = y - m*x and we input values into the equation:
b = (3) - (2 * -1)
b = 5
Then, we enter the value of "b" and the slope into this equation:
y = mx +b
y = 2x + 5
Source: https://www.1728.org/distance.htm
(Scroll to the bottom of the page.)
Step-by-step explanation:
Answer:
1. 7x
2. 8x - 1
3. 12 + 6x
4. 4 - 7x
5. 13x - 7
Step-by-step explanation:
Find how much greater 20 is than 5
20-5=15
the % is of 5, so the percent is percent out of 5
20 is x% of 5 greater than 5
20=(x%)5+5
minus 5 both sides
15=(x%)5
divide both sides by 5
3=x%
percent means parts out of 100
x%=x/100
3=x/100
times 100 both sides
300=x
answer is 300%