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Arlecino [84]
3 years ago
10

Given: ABCD is a quadrilateral, BC║AD, m∠ A = 90°

Mathematics
1 answer:
Lina20 [59]3 years ago
8 0

Answer:

  Rearrange the equations that result from use of the Pythagorean theorem.

Step-by-step explanation:

Transversal AB crossing parallel lines AD and BC makes supplementary interior same-side angles A and B. Since A = 90°, B must be 90°. The Pythagorean theorem then applies in the right triangles ABC and ABD.

We can use that theorem to write two expressions for AB^2:

  BD^2 -AD^2 = AB^2 = AC^2 -BC^2

The middle expression, AB^2, isn't needed beyond this point. Adding (AD^2 -AC^2) to both sides of the equation gives the desired result:

  BD^2 -AC^2 = AD^2 -BC^2

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Before ordering food for a company barbecue the president took a poll. She asked people if they would eat the ribs, hamburgers,
Vinvika [58]

Answer:

The complete question is as shown in the attached figure 1

The Venn diagram is the attached figure 2

Let: R⇒ribs , H⇒hamburgers  and  C⇒corn

People would eat all three = 53

People would eat only R and H = 56 - 53 = 3

People would eat only C and H = 54 - 53 = 1

People would eat only R and C = 55 - 53 = 2

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People would eat only R = 59 - (53+3+2) = 59 - 58 = 1

People would eat only C = 56 - (53+1+2) = 0

See Vinn diagram.

=========================================================

a. How many people did not want any of these foods?

people did not want any of these foods = 64 - (53+3+1+2+3+1) = 1

b. How many people would eat ribs but not corn?

people would eat ribs but not corn = 1+3 = 4

c. How many people would eat something as long as it was not a hamburger?

people would eat something as long as it was not a hamburger= 1+2 = 3

d. How many people would eat only corn?

people would eat only corn = 0

e. How many people would eat exactly two foods?

people would eat exactly two foods = 1 + 2 + 1

6 0
3 years ago
A recipe calls for for half-cup of sugar. Unfortunately Kirk only has a teaspoon with which to measure. he knows that there are
scoundrel [369]

Answer:

24

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If g(x)=4x^2-16 were shifted 5 units to the right and 2 down hat would the new equation be
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Answer:

This is the answer

Step-by-step explanation:

This is the solution, hope it helps

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