Hello!
Looking at the image above, we are given that side BE is congruent to side ED while side AE is congruent to side EC. This can be written as follows:
BE = ED
AE = EC
In this case, ∠1 and ∠2 can be classified as vertical angles. Vertical angles are the two angles on opposite sides of two intersecting lines. These angles are always congruent to one another. Consequently, ∠1 and ∠2 must also be congruent to one another. This can be written as follows:
∠1 = ∠2
We have now proven the congruency of two sides and one angle. Because the angle lies between the two sides, this implies the use of SAS (side-angle-side).
Therfore, the correct answer is B.
I hope this helps!
Using it's concept, there is a 0.625 = 62.5% probability that he or she has a bachelor's or a master's degree.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
The company has 6 + 2 + 8 = 16 employees, out of which 2 + 8 = 10 have a bachelor's or a master's degree, hence the probability is:
p = 10/16 = 0.625.
0.625 = 62.5% probability that he or she has a bachelor's or a master's degree.
More can be learned about probabilities at brainly.com/question/14398287
#SPJ1
Answer:
student ticket = $11
(adult ticket = $15)
Step-by-step explanation:
Let a = price of adult ticket
Let s = price of student ticket
Given:
- On the first night she sold 12 adult tickets and 11 student tickets for $301 dollars
⇒ 12a + 11s = 301
Given:
- On the second night she made $134 selling 6 adult tickets and 4 student tickets
⇒ 6a + 4s = 134
Multiply 6a + 4s + 134 by 2 then subtract from 12a + 11s = 301 to eliminate a:
⇒ (6a + 4s = 134) × 2: 12a + 8s = 268
12a + 11s = 301
- (12a + 8s = 268)
--------------------------
3s = 33
⇒ s = 33 ÷ 3 = 11
Substitute found value of s into one of the equations and solve for a:
⇒ 12a + 11(11) = 301
⇒ 12a + 121 = 301
⇒ 12a = 180
⇒ a = 15
Therefore, the price of an adult ticket is $15 and the price of a student ticket is $11
Answer:
Step-by-step explanation:
Remark
When a quadrilateral is inscribed in a circle, the opposite angles are supplementary. x is opposite 112 degrees. Therefore x and 112 add up to 180 degrees.
Formula
x + 112 = 180 Subtract 112 from both sides.
Solution
x + 112-112 = 180 - 112
x = 68
Answer
x = 68