Which shows two triangles that are congruent by ASA?
2 answers:
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.
- 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
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Answer:
2 litres or 2.5 litres
Step-by-step explanation:
From the question, 9 fruit juice bottles contain 4 litres of fruit juice. Therefore, to find how many litres of fruit juice would be contained in 5 fruit juice bottles, you multiply 5 by 4
litres and you divide the product by 9.
i.e. Let the quantity of the fruit juice for 5 bottles be x.
9 juice bottles ===> 4 litres
5 juice bottles ===> x
∴x =
x =
x =
x = 2.5 litres or 2 litres
Hope this helps!!!
In the slope intercept form, b represents the y intercept.
y = mx +- b
Therefore, if the y intercept is at 6, the formula of the line will look like
<span>y=mx + 6
</span>
This eliminates the first two options,
and
and leaves behind
and
Since the line you indicated is sloping downwards towards the lower right hand corner. It must have a negative slope.
Therefore, the answer must be the 3rd option.
<span>
</span>
y = mx +- b
Therefore, if the y intercept is at 6, the formula of the line will look like
<span>y=mx + 6
</span>
This eliminates the first two options,
and
and leaves behind
and
Since the line you indicated is sloping downwards towards the lower right hand corner. It must have a negative slope.
Therefore, the answer must be the 3rd option.
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