Answer:
From the graph attached, we know that 
by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like 
and 
.
We also know that, by definition of linear pair postulate, 
and are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that and together are 180°, because they are on a straight angle. That is, 
If we substitute for , we have 
, which means that and are also supplementary by definition.
So,
First, I'd like to note that it is required to show work. You shouldn't need to ask for steps.
7(2p + 3) - 8 = 6p + 29
Distribute
14p + 21 - 8 = 6p + 29
Collect Like Terms
14p + 13 = 6p + 29
Subtract 6p from both sides
8p + 13 = 29
Subtract 13 from both sides
8p = 16
Divide both sides by 8
p = 2
Check
7(2(2) + 3) - 8 = 6(2) + 29
Simplify inside the parentheses first.
7(4 + 3) - 8 = 6(2) + 29
7(7) - 8 = 6(2) + 29
Now, distribute.
49 - 8 = 12 + 29
Collect Like Terms
41 = 41 This checks.
S = { 2 }
Answer:
Step-by-step explanation:
M is the membership and b is billy
Basically, we need to plug in the given values for the variables
and
into the given expression
. First off, we can plug in all the given values into the expression, giving us
. Now, perform the operations on the inside of the parentheses. Doing this, we get
. Now, we use the distributive property to simplify. This gives us
. Finally, when we add the two numbers, we get
. Hope this helped!
Answer:
a = 10.36m
B = 47.7º
C = 90º
Step-by-step explanation:
we know the angle of A so we do the sin of A; Spoiler: its 0.67
0.67 = a / 15.4
0.67 * 15.4 = a
a = 10.36
----------
B = 90 - 42.3 = 47.7º
