Answer: a = 18
explanation:
2(a + 10) = 56 -> distribute the 2
2a + 20 = 56 -> subtract 20 from both sides
2a = 56 - 20
2a = 36 -> divide both sides by 2
a = 18
Given:
A triangle ABC.
The given expression for b is:
To find:
The expression that is equivalent to b.
Solution:
According to the Law of Cosines,
It can be written as:
...(i)
We have,
...(ii)
On comparing (i) and (ii), we get
Therefore, the required values are 
.
Given that 1/4 of the plants in the garden are peppers, and 1/3 of the 1/4 pepper plants are yellow peppers, we could get the fraction of the yellow peppers by multiplying 1/4 by 1/3. And we get the answer 1/12. Therefore, 1/12 is the fraction of yellow peppers.
Answer:
41, 34, 105
Step-by-step explanation:
Given that :
Measure of angles :
6x -7; 3x +10; and 10x +25
Recall; sum of angles in a triangle is 180
(6x - 7) + (3x + 10) + (10x + 25) = 180
6x - 7 + 3x + 10 + 10x + 25 = 180
6x + 3x + 10x - 7 + 10 + 25 = 180
19x + 28 = 180
19x = 180 - 28
19x = 152
x = 8
Hence,
6x - 7 = 6(8) - 7 = 41
3x + 10 = 3(8) + 10 = 34
10x + 25 = 10(8) + 25 = 105
