Answer:
Question 21: C.
Question 22: I.
Question 23: E.
Question 24: B.
Step-by-step explanation:
#21: The first statement is presented in the "Given" section.
#22: Since the reflexive property states that anything is equal to itself, BC ≅ BC.
#23: C being the midpoint of AD means that C is the same distance from both point A and point D. This then means that AC ≅ CD.
#24: AB ≅ DB due to the given, BC ≅ BC (since it's the same side), and we've proven that AC ≅ CD using a midpoint. We've proven <em>all three sides</em> on the two triangles to each other are congruent. This means that we've proven the triangles using SSS, which is B.
Answer:
38x² - 17x - 3
Step-by-step explanation:
The area of the shaded region is calculated as
area of outer rectangle - area of white rectangle, that is
(8x + 1)(5x - 3) - 2x(x - 1) ← expand (8x - 1)(5x - 3) using FOIL
= 40x² - 24x + 5x - 3 - 2x² + 2x ← collect like terms
= 40x² - 17x - 3
Answer:
45 different ways to fill the positions.
Step-by-step explanation:
Consider the provided information.
Management selection. A corporation plans to fill 2 different positions for vice-president, V₁ and Upper V₂, from administrative officers in 2 of its manufacturing plants. Plant A has 9 officers and plant B has 5.
We need to find the probability that 2 positions be filled if the Upper V₁ position is to be filled from plant A and the Upper V₂, position from plant B?
To fill the post of V₁ from plant A, which has 9 officers, we have 9 ways.
To fill the post of V₂ from plant B, which has 5 officers, we have 5 ways.
Therefore, the total number of ways are: 
Hence, 45 different ways to fill the positions.
Step-by-step explanation:
YOUR ANSWER :- B. 45°.......