Answer:
angle E is congruent to Angle F
Answer:
A) 10x + 8 = 21
B) x = 1.3
Step-by-step explanation:
2(2x + 3) + 2(x + 1) + 4x = 21
4x + 6 + 2x + 2 + 4x = 21
10x + 8 = 21
10x = 13
x = 1.3 cm
If order matters, then there are 12 ways to do this
If order does not matter, then there are 6 ways to do this
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We have 4 choices for the first slot and 3 choices for the next (we can't reuse a letter) so that's where 4*3 = 12 comes from
If order doesn't matter, then something like AB is the same as BA. So we are doubly counting each possible combo. To fix this, we divide by 2: 12/2 = 6
To be more formal, you can use nPr and nCr to get 12 and 6 respectively (use n = 4 and r = 2)
Answer:
y = 1
Step-by-step explanation:
Answer:
x = -7
Step-by-step explanation:
To find the value of x, you need to set up a proportion:
= 
Then cross multiply:
15x - 15 = 18x + 36
Then subtract 15x from both sides:
-15 = 3x + 36
Subtract 36 from both sides:
-51 = 3x
Finally, divide both sides by 3:
x = -7