Answer:
-7x - 6
Step-by-step explanation:
1
Distribute
(−2+5)−1(6+4)+(−7)
(−2+5)−6−4+(−7)
2
Eliminate redundant parentheses
(−2+5)−6−4+(−7)
−2+5−6−4+−7
3
Add the numbers
−2+5−6−4+−7
−2−6−6+
4
Combine like terms
−2−6−6+
Answer:
−7−6
Answer:
Step-by-step explanation:
Notice that there is a right angle triangle formed with sides as follows:
hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:
Answer:
In order to tell if these are congruent triangles we would need to know if angles Y and V were congruent, angles X and W are congruent or if segments XU and WU were congruent.
Step-by-step explanation:
Any of these would work because you can use two different methods to telling that these are congruent triangles.
The first method is called side-angle-side. In it you need two side lengths that are congruent with a congruent angle in the middle. Since we already know that the right angle in the middle is congruent, and we know YU and VU are congruent, we would just need to know the additional side to prove congruence.
The second method is called angle, angle side. In this we need to know that two angles in a row are congruent followed by a side. Since we know the middle angle is the same, knowing either other angles would give us this method as well.
Answer:
2730
Step-by-step explanation:
We want to determine the greatest common divisor of the elements of the set 
We apply the Fermat's little theorem which states that if p is a prime number, then for any integer a, the number aᵖ − a is an integer multiple of p.
Now, 
if p-1 divides 12.
Since the of 12 are 1,2,3,4, 6, 12, the corresponding primes are 2, 3, 5, 7, 13.
Therefore, the gcd of the elements in 
and 
2*3*5*7*13=2730
Therefore, the gcd of the elements in set S is 2730.
