Answer:
Everything should simplify down to -9a-3 (your answer)
Step-by-step explanation:
Distributive property is basically <em>multiplying the outside number into the inside</em> parenthesis (). Basically #(a)--->#a or #(a+b)---> #a+#b
Since you're not ask to solve for anything but simplify, just multiply 3 to -3a and -1.....
so 3*-3a is -9a and 3*-1 is -3 and you have 3(-3a-1)= -9a-3
In this problem you use cosine because you know the hypotenuse and you want to know the adjacent side of the triangle. So in your calculator you would input cos(52). Then you would multiply that answer with the hypotenuse side. So your equation would be this: cos(52) x 13
Answer:
137
Step-by-step explanation:
The sum of all three angles; <ABC, <ABD, and <CBD is equal to 360
now we know <ABC = 118 and
the measure of central angle <CBD is equal to measure of the arc it sees so it's = 105
we are asked to find the m<ABD
118 + 105 + <ABD = 360 add like terms
223 + <ABD = 360 subtract 223 from both sides
m<ABD = 137
2x + 8 > 18 2x+ 8 ≥ 18
2x > 18 -8 2x ≥ 18 - 8
2x > 10 2x ≥ 10
x > 10/2 x ≥ 10/2
x>5 x ≥ 5
The answer that combines both inequality is x ≥ 5
