step 1
Find the measure of angle 1
REmember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle ABC
90+58+<1=180
148+<1=180
<1=180-148
<1=32 degrees
step 2
Find the measure of angle 2
we know that
<2=<1 -----> bt vertical angles
so
<2=32 degrees
step 3
Find the measure of angle 3
REmember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle CDE
32+108+<3=180
140+<3=180
<3=180-140
<3=40 degrees
X divided by two is 5
So you multiply 5 and 2 to get 10. Therefore x equals 10
Alright, let's factor this to get the answer.
3k^2-10k+7
To find the factors, we want to think "What will add up to -10, and multiply to (+)7?"
Because the leading coefficient is 3, we know that we can take one factor of 7 and multiply it by 3.
Thus, this factors to
(3k-7)(k-1)
(if you FOIL it it should come out to be the original equation)
From this, set both of those [(3k-7) and (k-1)] equal to zero and solve
3k-7=0
3k=7
/3
k=7/3
or
k=1
Answer:
Step-by-step explanation:
(3/4)*(2/5)=6/20=3/10
