Answer:
58°
Step-by-step explanation:
<h3>Angle sum property of triangle:</h3>The sum of all angles of a triangle is 180°.
x + 69 + 55 + x + 78 = 180
x + x + 69 + 55 + 78 = 180
Combine like terms,
2x + 202 = 180
Subtract 202 from both sides,
2x = 180 - 202
2x = -22
Divide both sides by 2,
x = -22/2
x = -11
∠A = x + 69
= -11 + 69
Answer:
56 as a product of primes using index notation is:
Step-by-step explanation:
We need to write 56 as a product of primes.
Prime Numbers:
<em>Numbers that are divisible by 1 or itself.</em>
Now, writing 56 as product of primes
56 = 2 x 2 x 2 x 7
Now, Use index notation when giving your answer.
Index Notation:
<em>Express elements in power form i.e. if we have 2 x 2 we can write it as 2^2</em>
So, answer will be:
So, 56 as a product of primes using index notation is:
Answer: 242 students do not like football or baseball
Step-by-step explanation:
The total number of students that were surveyed about their preferences of sports is 412. The Venn diagram is shown in the attached photo.
If 45 students like both sports, then the number of students that like football only would be
115 - 45 = 70
Also, the number of students that like baseball only would be
100 - 45 = 55
The number if students that like at least one of the sports is
70 + 55 + 45 = 170
Therefore, the number of students that do not like football or baseball would be
412 - 170 = 242
