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3 years ago

Which reason explains the congruency of these two triangles?

Mathematics

1 answer:

il63 [147K]3 years ago

4 0

These triangles are congruent by the hypotenuse-leg theorem, which states that if the hypotenuse and a leg of two right triangles are congruent, the triangles are congruent.

Answer:
B) HL

Side note: There is not such thing as AAA congruence. (:

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An exam worth 388 points contains 65 questions. Some questions are worth 4 points and the others are worth 8 points. How many 4

BaLLatris [955]

Answer:

33 questions.

Step-by-step explanation:

Let x = 4 points questions.

Let y = 8 points questions.

Translating the word problem into an algebraic equation;

For the total number of questions;

$x + y = 65$ .........equation 1

For the total number of points;

$4x + 8y = 388$ ..........equation 2

Given the following data;

Total number of questions = 65

Total number of points = 333

Solving the linear equation by using the substitution method;

Making x the subject in equation 1:

$x = 65 - y$ .......equation 3

Substituting "x" into equation 2;

$4(65 - y) + 8y = 388$

Simplifying the equation, we have;

$260 - 4y + 8y = 388$

$260 + 4y = 388$

Rearranging the equation, we have;

$4y = 388 - 260$

$4y = 128$

$y = \frac {128}{4}$

y = 32 (For the 8 points question).

Substituting "y" into equation 3;

$x = 65 - 32$

x = 33 (For the 4 points question).

Therefore, the number of 4 point questions on the test are 33 questions.

8 0

3 years ago

Find the X COORDINATE OF THE intersection of 9x - 6y = 12 and 3x + 2y =8

yaroslaw [1]

Answer: $x=2$

Step-by-step explanation:

Given a System of linear equations, the solution of the system is the point $(x,y)$ in which the lines intersect, where "x" is the x-coordinate and "y" is the y-coordinate.