110° because interior angles are half the measure of their arc
Answer:
D.
Step-by-step explanation:
We can see from our graph that triangle CED is similar to triangle CBA. Side length BA corresponds to ED and Side length AC corresponds to DC.
Since we know that corresponding sides of two similar triangle are in the same proportion. To find value of x we will set proportion of the corresponding sides of our given triangles equal.
Upon cross multiplying our given equation we will get,

Upon distributing 7 we will get,




Therefore, x equals 8.57 and option D is the correct choice.
Answer:
probability that student passes = 0.7815
Step-by-step explanation:
Given:
Student studies = 85% = 0.85
Student not study = 11% = 0.11
Student who pass = 90% = 0.90
Computation:
P(student not pass) = 1 - 0.85
P(student not pass) = 0.15
probability that student passes = P(Student studies)(Student who pass) + P(Student not study)(student not pass)
probability that student passes = (0.85)(0.90) + (0.15)(0.11)
probability that student passes = 0.765 + 0.0165
probability that student passes = 0.7815
Rational numbers are sometimes natural numbers. For example, the number 1 is both a rational and natural number. Remember that natural numbers are 1, 2, 3, 4.. etc. Rational numbers are any number that can be expressed as a ratio of 2 integers. 1/1 is rational.
Most rational numbers, however, are not natural. For example, 3/4, 89/88, and so on.