Answer: ASA method must be applied to the given triangles to prove then congruent.

In two triangles, if two angles and their included side are congruent then the two triangles are said to be congruent .This method is known as Angle-Side -Angle postulate(ASA).
In the given triangles one side with their corresponding angles are equal. Therefore by ASA postulate they are congruent.
There we can see no other sides are given equal therefore all the other options cannot be applied.

you are lucky I had this test yesterday and I have the answer is ASA my math teacher said it was fine

6 0

3 years ago

Assume that you have a binomial experiment with p=0.4 and a sample size of 100. the expected value for this binomial distributio

UkoKoshka [18]

In Binomial distribution, the expected value or mean is given by,
E(X) = np
where, p = probability of success and n=number of sample size.

E(X) = 100×0.4 = 40

7 0

3 years ago

Line segment AB has endpoints A(7.5, 4.2) and B(2.3, 5.4). Find the coordinates of the point that divides the line segment direc

galben [10]

Given a line with endpoints $A(x_1,\, y_1)$ and $B(x_2,\, y_2)$ , the <span>coordinates of the point that divides the line segment directed from A to B in the ratio of m : n is given by</span>

$(x,\, y)=\left( \frac{n(x_1)+m(x_2)}{m+n} ,\, \frac{m(y_1)+n(y_2)}{m+n} \right)$

Given that l<span>ine segment AB has endpoints A(7.5, 4.2) and B(2.3, 5.4). the coordinates of the point that divides the line segment directed from A to B in the ratio of 1 : 3 is given by

$(x,\, y)=\left( \frac{3(7.5)+2.3}{1+3},\, \frac{3(4.2)+5.4}{1+3} \right) \\ \\ =\left( \frac{22.5+2.3}{4} ,\, \frac{12.6+5.4}{4} \right)=\left( \frac{24.8}{4} ,\, \frac{18}{4}\right) \\ \\ =(6.2,\, 4.5)$ </span>

3 0

3 years ago