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siniylev [52]
4 years ago
5

Mark is making a decoration for a rally, using a string of triangular strips. Each strip is an isosceles triangle when flattened

out.
What is the measure of the third angle?

A) 35°

B) 40°

C) 45°

D) 50°

Mathematics
2 answers:
inysia [295]4 years ago
4 0

B) 40 because if you add the two angles at the bottom which are shown to be congruent, then subtract 180 from the sum of those two, then you are left with your answer
igor_vitrenko [27]4 years ago
4 0

Answer:

The measure of third angle is 40°

B is correct.

Step-by-step explanation:

Mark is making a decoration for a rally, using a string of triangular strips. Each strip is an isosceles triangle when flattened out.

In figure, we are given the base angle is 70°

For isosceles triangle base angles are equal.

Two angle of a isosceles triangle are 70° and 70°

Let third angle of triangular strips be A

Using angle sum property of triangle ( sum of all three angles of a triangle is 180°)

A+70°+70°=180°

A=180-140 = 40°

Hence, The measure of third angle is 40°

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What total length of ribbon is needed to Line the two long sides of the hat?
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Answer:

Total length of ribbon to line the long sides will be 22 in

Step-by-step explanation:

In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.

Then by applying Pythagoras theorem in both the triangles.

h²= (3x + 5)² + (2x + 1)² ------(1)

h²= (5x + 1)² + 5² ------(2)

By equating both the equations

(3x + 5)² + (2x + 1)² = (5x + 1)² + 25

9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25

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Now we will put x = 2 in the measure of sides of the kite.

Side 1 = (3x + 5)

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Side 3 = (2x + 1)

          = 2×2 + 1

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Therefore, Total length of ribbon to line the long sides will be = 11 + 11

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