Answer:
A. Similar using SAS; ∆ABC ~ ∆DFE
Step-by-step explanation:
m<B of ∆ABC = m<F of ∆DFE
AB corresponds to DF
AB/DF = 12/8 = 3/2
BC corresponds to FE
BC/FE = 24/16 = 3/2
Thus, the ratio of the corresponding sides of both triangles are the same. Therefore, both triangles has two sides that are proportional to each other, and also had an included corresponding angles that are congruent to each other.
By the SAS criterion, we can conclude that both triangles are similar to each other. That is, ∆ABC ~ ∆DFE
Answer:
The probability of choosing exactly 2 male and 4 female students =
Step-by-step explanation:
We are given that a class has 35 students
Number of male=16
Number of female=19
We have to choose 6 students for committee
We have to find the probability that exactly 2 male students are selected
Probability=P(E)=
If we have to choose total 6 student in which 2 male and 4 female
Combination formula:

Using the formula
The probability of choosing exactly 2 male and 4 female students =
The solution of the equation is x = 71 / 36.
<h3>How to solve an equation with one variable</h3>
Herein we have an equation with several rational constants and only one variable, x, which has to be cleared by using algebra procedures. The procedure is shown below:
2 · x + 1 / 3 + x - 1 / 4 = 13 / 2 Given
2 · x + x = 13 / 2 - 1 / 3 - 1 / 4 Compatibility with addition / Existence of additive inverse / Modulative property
3 · x = 71 / 12 Definitions of addition and subtraction / Distributive property
x = 71 / 36 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property / Result
The solution of the equation is x = 71 / 36.
To learn more on equations: brainly.com/question/10413253
#SPJ1
Answer:
1/3 is the slope
Step-by-step explanation:
hope this helps
Answer:
(21/30)*100 = $70
Step-by-step explanation: