Mathematics, 13.06.2020 21:57 taylorray0820

In triangles ABC and LMN, angle A is congruent to angle L, angle B is congruent to angle M, and angle c is congruent to angle N. Is this information sufficient to prove triangles ABC and LMN congruent through ASA? Explain your answer.

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The given information is not enough to prove that triangles ABC and LMN congruent through ASA as the included side between the angles are not given to be equal.

Step-by-step explanation:

Given: In triangles ABC and LMN, $\angle A\cong \angle L\,,\,\angle B\cong \angle M\,,\,\angle C\cong \angle N$

To check: if the given information sufficient to prove triangles ABC and LMN congruent through ASA

Solution:

Two figures are said to be congruent if they are of same shape and size.

Two triangles are said to be congruent by ASA if two angles of one triangle are congruent to the two angles of the other triangle and the included side between the angles of each of the triangles are also congruent.

The given information is not enough to prove that triangles ABC and LMN congruent through ASA as the included side between the angles are not given to be equal.

Answer from: Quest

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

Bwill make the inequalities y < 2x + 1 and y> -x- 2 true. o a. region b o b. region c o c. r

Answer from: Quest

correct choice is a

step-by-step explanation:

the equation of the line passing through the points $(x_1,y_1)$ and $(x_2,y_2)$ is

$\dfrac{x-x_1}{x_2-x_1}=\dfrac{y-y_1}{y_2-y_1}.$

thus, the equation of the line that passes through the points (0, -6) and (-3, 0) is

$\dfrac{x-0}{-3-0}=\dfrac{)}{)},\\ \\\dfrac{x}{-3}=\dfrac{y+6}{6},\\ \\2x=-y-6,\\ \\2x+y+6=0,\\ \\y=-2x-6.$

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In triangles ABC and LMN, angle A is congruent to angle L, angle B is congruent to angle M, and angl...

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