<u>Answer:</u>
The correct answer option is D.
.
<u>Step-by-step explanation:</u>
We are to find the equation of a line which is perpendicular to the following line and passes through the point (3, 4):

We know that an equation perpendicular to another equation has a slope which is the negative reciprocal of the first equation.
So our required slope is 
Finding the y-intercept:



Therefore, the equation of the line perpendicular to
and passing through the point (3, 4) is
.
Correct answer is: distance from D to AB is 6cm
Solution:-
Let us assume E is the altitude drawn from D to AB.
Given that m∠ACB=120° and ABC is isosceles which means
m∠ABC=m∠BAC = 
And AC= BC
Let AC=BC=x
Then from ΔACD , cos(∠ACD) = 
Since DCB is a straight line m∠ACD+m∠ACB =180
m∠ACD = 180-m∠ACB = 60
Hence 

Now let us consider ΔBDE, sin(∠DBE) = 

When looking at probabilities, two ideas are always true.
1) Any probability is more than 0.
2) The sum of all the probabilites is 1.
Idea #2 works here. (For example, think of how a die has six things and the probability of each is 1/6. So 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1.) Let G = the probability of grape, C = probability of cherry and O = the probability of orange. From Idea #2, G + C + O = 1. Since we know G and C, then
3/10 + 1/5 + O = 1.
3/10 + 2/10 + O = 1
5/10 + O = 1
O = 5/10
Thus, the probability of an orange jelly bean is 5/10 = 1/2.
Answer:
The total number of slices is 92
Step-by-step explanation:
we know that
Kelly ordered 10 pizzas for a party
step 1
30% of the pizzas have 12 slices each
so
The number of pizzas for 30% is equal to
0.30(10)=3 pizzas
The number of slices is
3(12)=36 slices
step 2
70% of the pizzas have 8 slices each
so
The number of pizzas for 70% is equal to
0.70(10)=7 pizzas
The number of slices is
7(8)=56 slices
step 3
Find the total number of slices
36+56=92 slices