What is the measure of the angle formed by First Street and Main Street? Explain your reasoning.

Mathematics

1 answer:

julia-pushkina [17]2 years ago

7 0

Answer:

50 degrees

Step-by-step explanation:

Is that a right angle indicator joining that 40 degrees with the unknown angle? If so, then that makes things simple because you can simply use the rule of complementary angles.

90 = 40 + x, x being the unknown angle.

x = 50

And using the power of vertical angles theorem, we can use that 50 degrees to find that to be the angle measure created by First St. and Main St.

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A greeting card uses a geometric design containing 4 congruent kites. The card is 4 inches wide and 8 inches long. What is the a

Gnom [1K]

Answer: 4 sq. in

Step-by-step explanation:

From the question, the card is 8 inches long. Therefore, the length of the vertical diagonal of 1 kite + the length of the vertical diagonal of other kite = 8

Since we have been told that the kites are congruent, therefore the length of the vertical diagonal of both kites will be thesame

Therefore, 2(length of the vertical diagonal of 1 kite) = 8

Therefore, the length of the vertical diagonal of 1 kite will be= 4 inches

The width of the card = 4 inches

Therefore, the length of the horizontal diagonal of 1 kite + the length of the horizontal diagonal of another kite =4

Since the kites are congruent, therefore, the length of the horizontal diagonal of both kites are the same

Therefore, 2(length of the horizontal diagonal of 1 kite) = 4

Therefore, the length of the horizontal diagonal of 1 kite will be= 2 inches

Therefore, the length of the vertical diagonal of the kite= 4 inches and the horizontal diagonal= 2 inches

So, Area of kite = pq/2

Where p and q are diagonals of kite

Area of kite = (4×2)/2