C. 3, would be the greatest.
Answer: the answers are c and d
Step-by-step explanation: only these combinations would form right triangles because the way other combinations are too small or too large to actually accommodate for the remaining number in the problem. The squares of 5, 12, and 13 are 25, 144, and 169, meaning they form a perfect right triangle. The next sequence is 36, 85, 77, and the squared rearranged version is 1,296, 5,929, and 7,225, meaning they also form a right triangle.
For First Question:
As, we find the value of x for parallel condition of line a and b
so, m∠3 = m∠1 and m∠2 = 180°-m∠1 = 180°-(2x+15)° [ As straight line contain total 180°]
Now,
m∠2 = <span>m∠6 [ Because they are corresponding angles]
180</span>-(2x+15)=(3x+10)
180=3x+10+2x+15
x= 31 satisfies the condition of a||b
For second Question:
As, it is issoceles triangle So side AC = side BC So, m∠A=<span>m∠B
</span>4x+5=5x-1
x=6
So,
m∠A=29° and triangle contain total 180°
<span>m∠C=180-29-29
</span> =122°
Option D is correct
Answer:
-31
Step-by-step explanation:
2x - abs(4 - 7x)
2x = 2 * - 3 = - 6
4 - 7x = 4 - 7*-3 = 4 + 21 = 25
-6 - abs(25)
-6 - 25 = -31
You should note three things.
1. the absolute value of 25 is 25
2. There is a - sign outside the influence of the 25 so 25 becomes - 25
3. - 6 - 25 = - 31
I will show you how to do first one but it is simple addition and subtraction.
7y + 5 + (3 - y)
We just combine like terms
7y - y + 5 + 3
6y + 8
I will do the second one for subtraction
5 + 5q - (3q - 9)
since the subtracroon sign is outsiDr patenthesis you have to apply it to both terms
5 + 5q - 3q + 9
since it was -9 it became --9 which is +9
so:
5q - 3q + 5 + 9
2q + 14
