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Luda [366]
3 years ago
9

True or False: You can draw a quadrilateral with no parallel lines and at least one right angle.

Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0

Answer:

True.

Step-by-step explanation:

The answer is true. All you need is one 90 degree angle, two 50 degree angles, and one 170  degree angle. This creates a weird looking shape that is a quadrilateral with no parallel lines and at least one right angle.

Please mark me as brainliest. I need to rank up.

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Prove that<br> 1+cosθ+sinθ/1+cosθ-sinθ = 1+sinθ/cosθ
marusya05 [52]

Step-by-step explanation:

(1 + cos θ + sin θ) / (1 + cos θ − sin θ)

Multiply by the reciprocal:

(1 + cos θ + sin θ) / (1 + cos θ − sin θ) × (1 + cos θ + sin θ) / (1 + cos θ + sin θ)

(1 + cos θ + sin θ)² / [ (1 + cos θ − sin θ) (1 + cos θ + sin θ) ]

(1 + cos θ + sin θ)² / [ (1 + cos θ)² − sin² θ) ]

Distribute and simplify:

(1 + cos θ + sin θ)² / (1 + 2 cos θ + cos² θ − sin² θ)

[ 1 + 2 (cos θ + sin θ) + (cos θ + sin θ)² ] / (1 + 2 cos θ + cos² θ − sin² θ)

(1 + 2 cos θ + 2 sin θ + cos² θ + 2 sin θ cos θ + sin² θ) / (1 + 2 cos θ + cos² θ − sin² θ)

Use Pythagorean identity:

(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (sin² θ + cos² θ + 2 cos θ + cos² θ − sin² θ)

(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (2 cos² θ + 2 cos θ)

(1 + cos θ + sin θ + sin θ cos θ) / (cos² θ + cos θ)

Factor:

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(1 + sin θ) / cos θ

3 0
3 years ago
At the grocery store, Mr. and Mrs. Bailey bought 24 apples and 18 pears. Write a ratio in simplest form to compare apples and pe
Oliga [24]

Answer:

4:3

Step-by-step explanation:

Legit just simplified it.The original ratio is 24:18. First found the greatest common multiple (GCF) and divided both by it. In this case it was 6. So 24/6 = 4 and 18/6 = 3. Now your newly simplified ratio of apples to pears is 4:3.

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Use the graph to answer F(-3)=
Virty [35]

Answer:

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Step-by-step explanation:

The only point with an x-coordinate of -3 has a y-coordinate of 1. That is the value of the function f(x) for x=-3.

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2 years ago
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Find 55% of 164 I don't get it I need help can someone help me like right now please
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55\%\ of\ 164\ is...\\\\ \frac{55}{100} \times \frac{164}{1} =\\\\55*164=9020\\100*1=100\\\\ \frac{9020}{100}\approx90\\\\20\ is\ left\ over.\\\\90.20\\\\\\55\%\ of\ 164\ is\ 90.2
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Which statement is true?
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C is the correct answer!
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