Answer:
71°
Step-by-step explanation:
The triangle shown is an isosceles triangle. Isosceles triangles have two equal sides and two equal angles. When all 3 angles are added, it should have a sum of 180°. The tip of the triangle is the part of the triangle with the smallest degree/angle. So the two remaining angles are the same amount.
180°=38°+x+?
180°=38°+71°+71°
Both missing angles are the same degree, and when both are added to 38, it has a sum of 180. x is equal to 71°.
20+64=84 40+44=84 74+10=84 30+54=84
Answer:
-7/3
Step-by-step explanation:
the answer is the negative reciprocal.
Answer:

Step-by-step explanation:
refers to the permutations of 5 items taken 3 at a time. To evaluate this, we use factorials as follows;

The factorial of an integer n is evaluated as;

Using this concept, the above expression can now be simplified as follows;

Therefore, the permutations of 5 items taken 3 at a time is 60.
The next expression,
refers to the combinations of 6 items taken 4 at a time. The simplification utilizes similar concepts of permutations since we shall be involving factorials;

Therefore, the combinations of 6 items taken 4 at a time is 15.
The final step is to evaluate the product;
