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3 years ago

Which shows two triangles that are congruent by ASA?

Mathematics

2 answers:

Anna11 [10]3 years ago

7 0

The second one, as shown in the attached picture.

<h3>Further explanation</h3>

The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.
The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.
The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.
The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.

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Notes

The angle-side-side postulate for the congruent triangles doesn't exist because an angle and two sides don't guarantee that two triangles are congruent. If two triangles have two congruent sides and a congruent non-included angle, then triangles don't seem to be necessarily congruent. This can be why there's no side-side-angle (SSA) and there's no angle-side- side postulate.
The AAA (angle-angle-angle) postulate for congruent triangles does not work because having three corresponding angles of equal size is not enough to prove congruence. This principle is usually used for the similarity of two triangles.

<h3>Learn more</h3>

About the lengths of the legs of the triangle brainly.com/question/13027296
About vertical and supplementary angles brainly.com/question/13096411
Calculate the measures of the two angles in a right triangle brainly.com/question/4302397

Aleks04 [339]3 years ago

4 0

ASA (angle-side-angle) means there are two congruent angles with a congruent side between them. The correct answer is the second one.

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The perimeter of a rectangular banner is 72 inches. The width of the banner is 1/3 its length. What is the area of the banner?

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144

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3 years ago

Solving multi step equations

hichkok12 [17]

The no-brain way to do it is to

subtract one side from both sides so you have <em>(something) = 0</em>.
divide by the coefficient of the variable.
add the opposite of the constant.

Of course, at some point, you need to simplify the equation so you have something like

... ax + b = 0 . . . . . . where <em>a</em> and <em>b</em> are some constants that may be positive or negative

17) Subtract the right side.

... 10(x +3) -(-9x -4) -(x -5 +3) = 0

... 10x + 30 +9x +4 -x +5 -3 = 0 . . . . . eliminate parentheses

... x(10+9-1) +(30+4+5-3) = 0 . . . . . . . collect terms

... 18x +36 = 0 . . . . . . . . . . . . . . . . . . . simplified

... x + 2 = 0 . . . . . . . . . . . . . . . . . . . . . .divide by 18, the coefficient of x

... x = -2 . . . . . . . . . . . . . . . . . . . . . . . . add the opposite of the constant

19) Add the opposite of the left side.

... 0 = -9(1 +7x) +12(x -12)

... 0 = -9 -63x +12x -144 . . . . . . eliminate parenthses

... 0 = -51x -153 . . . . . . . . . . . . . simplify

... 0 = x +3 . . . . . . . . . . . . . . . . . divide by -51, the coefficient of x

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_____

If you examine the variable's coefficients you can make a choice of side to subtract that results in a positive coefficient of the variable.

This method puts variable and constant together until the end. The approach usually taught is to separate the variable terms and constant terms. (The number of steps required is the same either way.)

The reason this is "no brain" is that it always works and requires no judgment as to what you add or subtract from where. Applying a little judgment as described above can make it so you're mostly working with positive numbers, but the method works whether the numbers are positive or negative.

6 0

3 years ago

Find the value of c that makes the expression a perfect-square<br>trinomial.<br>• 6) x2 + 26x + c

slava [35]

The value of c would be 169

8 0

3 years ago

Arada [10]

Answer:

Gerrard

Step-by-step explanation:

Let the size of each poster be $x$