<h3>
Answer: Exactly One Triangle</h3>
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Explanation:
Recall that by the SAS (side angle side) congruence theorem, if we know that two pairs of sides are the same length and the angles between them are also congruent, then we can conclude the triangles are congruent. This further means that we can only construct exactly one triangle with two side lengths of 6 inches, and they form a 50 degree angle between them. Applying transformations such as rotations, translations, or reflections will not change the triangle.
Side note: This triangle is isosceles because two sides are the same length. It is not equilateral because we would need to have all three angles to be 60 degrees.
Answer:
7
Step-by-step explanation:
2+5=7
Answer:
216 sq. units
Step-by-step explanation:
From the figure, we can see that only one pair of opposite angles are equal. So, the quadrilateral is a kite.
Formula to find the area of a kite:
Area, A = 
where, 
and 
are the lengths of the diagonals.
Here, 
units.
And, 
units.
Therefore, the area A = 
= 
= 216 sq. units which is the required answer.
Answer:
PQ=30
Step-by-step explanation:
Knowing that the segment has 3 parts that are 3:1:1 and sum up to 50, you could find how much 1 would equal by finding the total in relation to the ratio (doing 3+1+1) which gets you 5 parts. Then you can divide the total (50) by 5 to figure out how much one part would equal (10). Now, since you know that 1 part is equal to 10 and that PQ is 3 parts, you can find that PQ is equal to 3x10, or 30.
Answer:
24cm
Step-by-step explanation:
The area of the rectangle is length × breadth. You already know the area and the breadth, so you can find the length.
288cm² = length × 12cm
length = 288cm² ÷ 12cm
= 24cm
