Answer:
CBA = 53°
DBC = 39°
Step-by-step explanation:
You have 2 angles, CBA and DBC.
Together, these form the angle DBA. (See attached image)
We know the following about the 2 angles:
CBA = 8x - 3
DBC = 5x + 4
Like we said, both of these together form the angle DBA. Thus:
DBA = CBA + DBC
Let's put in the values we know, 8x-3, 5x+4, instead of CBA and DBC:
DBA = 8x - 3 + 5x + 4
DBA = 13x - 3 + 4
DBA = 13x + 1
We also know that:
DBA = 92 (from the question)
Let's set our expression 13x + 1 equal to 92.
DBA = 13x + 1
DBA = 92
13x + 1 = 92
Subtract 1 from both sides:
13x = 91
Divide both sides by 13:
x = 91 / 13
x = 7
Now that we know x, we can find what CBA and DBC are.
CBA = 8x - 3
Replace x with 7:
CBA = 8*7 - 3
CBA = 56 - 3
CBA = 53
DBC = 5x + 4
Replace x with 7:
DBC = 5*7 + 4
DBC = 35 + 4
DBC = 39
Answer:
CBA = 53°
DBC = 39°
The solution is 3.97, but the question says ABOUT so you should round up and
the answer should be $4.00.
Answer:
Step-by-step explanation:
A) Use the distributive property to eliminate parentheses. Then combine like terms. (The only "like terms" are the constants.)
... = 12 +3·2y +3·(-3) . . . use the distributive property to multiply each term in parentheses by the factor 3 outside those parentheses
... = 12 +6y -9 . . . . . . . . simplify
... = 6y + (12 -9) . . . . . . group like terms together
... = 6y + 3 . . . . . . . . . . simplify
___
B) Look for factors of each term that are also found in the other term.
... 18b has factors 3×6×b
... 12 has factors 2×6
The only common factor is 6, so we factor that out using the distributive property.
... 18b -12 = 6(3b -2)
_____
<em>Comment on factoring</em>
For factoring problems, it helps immensely if you know your times tables and some of the rules for divisibility. (Even numbers are divisible by 2, numbers ending in 0 or 5 are divisible by 5, numbers whose sum of digits is divisible by 3 are divisible by 3, for example.)
Answer:
2.5
Step-by-step explanation:
Answer:
,
Step-by-step explanation:
