Answer:
Step-by-step explanation:
Given:
An isosceles triangle ABC with AB = AC.
∠A = 
∠B = 
∠C = 
We know that, for an isosceles triangle, the angles opposite equal sides are also equal to each other.
Therefore, ∠B = ∠C
⇒ 
⇒ 
∴ ∠C = 
°
Now, the sum of all the interior angles of a triangle is always 180°.
Therefore, the value of 'y' is 5.
Answer:
<u>The correct answer is A. 109</u>
Step-by-step explanation:
1. Let's review all the information given to answer the question correctly:
Mean of candies in bags = 145
Standard deviation = 3
Number of bags of candies on a shelf = 160
2. About how many bags of candies are expected to have between 142 candies and 148 candies?
Let's recall that in a normal distribution, the 68.2% of the sample or the population is between minus one and plus one time the standard deviation.
For our case, the 68.2% of the bags of candies are expected to have between minus one time the standard deviation (145 - 3) and plus one time the standard deviation (145 + 3).
<u>It means that 109 bags (0.682 * 160) are expected to have between 142 and 148 candies. The correct answer is A. 109.</u>
Answer:
4. A rectangle is a square
Step-by-step explanation:
A rectangle can be a square, but not always. A rectangle has 2 pairs of parallel sides, 2 pairs of congruent sides, and 4 right angles. Squares have 2 pairs of parallel sides, 4 congruent sides, and 4 right angles. So, the difference between the two is that adjacent sides are not necessarily congruent in rectangles, but they are in squares. This means that some rectangles can be a square. If a rectangle has all congruent sides, then it is a square. On the other hand, some rectangles do not have all congruent sides, and thus are not squares.
Answer:
-4/5
Step-by-step explanation:
r=x/2
a=2x
ar²=-1/16
x^3=-1/8
x=-1/2
sn=a/1-r
=-4/5
Answer:
Graph C
Step-by-step explanation:
