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bearhunter [10]
2 years ago
5

With the information given, can you prove this quadrilateral is a parallelogram?

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
6 0
Opposite sides are congruent and have the same slope.
You might be interested in
A triangle has side lengths of 10, 11, and 15 . what type of triangle is it?
Trava [24]
Answer: scalene and obtuse

Justification:

You can find the angles using the law of cosine:

c^2 = a^2 + b^2 - 2abcos(γ)

=> cos(γ) = [a^2 + b^2 - c^2] / (2ab)

1) cos(γ) = [10^2 + 11^2 - 15^2] / (2*10*11) = - 0.0181818

=> γ = arccos(-0.0181818} ≈ 91°

2) cos(α) = [b^2 + c^2 - a^2 ] / 2bc = [11^2 + 15^2 - 10^2] / (2*11*15] = 0.7454545

=> α = arccos(0.7454545) ≈ 41.8°

3) cos(β) = [a^2 + c^2 - b^2] / (2ac) = [10^2 + 15^2 - 11^2] /(2*10*15) = 0.68

=> β = arccos(0.68) ≈ 47.2°

4) Verification: 91° + 41.8° + 47.2° = 180°

5) The triangles with the three different sides are called scalenes (which you can tell with only the measures of the sides).

6) The triangles with one angle greater than 90° are called obtuse.

So, the triangle is scalene and obtuse.
7 0
2 years ago
What an equivalent expression for 48 + 18x
FromTheMoon [43]

Answer:

6(8+3x)

Step-by-step explanation:

48+18x

We can factor out an 6 from each term in the expression

6(8+3x)

7 0
3 years ago
Read 2 more answers
a) How many significant figures are in the numbers 99 and 100? (b) If the uncertainty in each number is 1, what is the percent u
levacccp [35]

Answer:

2, 3

1.01, 1

Percentage uncertainty

Step-by-step explanation:

a) The significant figures in the number 99 is 2

The significant figures in the number 100 is 3

b) Uncertainty in each of the numbers for both the numbers is 1

Percentage uncertainty

99

\text{Percentage uncertainty}=\frac{\text{Uncertainty}}{Value}\times 100 \\\Rightarrow \text{Percentage uncertainty}=\frac{1}{99}\times 100=1.01

Percentage uncertainty = 1.01

100

\text{Percentage uncertainty}=\frac{\text{Uncertainty}}{Value}\times 100 \\\Rightarrow \text{Percentage uncertainty}=\frac{1}{100}\times 100=1

Percentage uncertainty = 1

c) Percentage uncertainty is a better way to express the numbers as the significant figures do not show the actual value of the numbers.

6 0
3 years ago
Need help with this ASAP
faust18 [17]
9 yards I’m sorry if it’s wrong
6 0
2 years ago
Read 2 more answers
Birth Weights Babies born after a gestation period of 32-35 weeks have a mean weight of 2600 grams and a standard deviation of 6
lukranit [14]

Answer:

The z-score for the 34-week gestation period baby is 0.61

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean

σ is the population standard deviation.

We are told in the question that:

Babies born after a gestation period of 32-35 weeks have a mean weight of 2600 grams and a standard deviation of 660 grams. Also, we are supposing a 34-week gestation period baby weighs 3000grams

The z-score for the 34-week gestation period baby is calculated as:

z = (x-μ)/σ

x = 3000, μ = 2600 σ = 660

z = 3000 - 2600/660

= 400/660

=0.6060606061

Approximately, ≈ 0.61

6 0
3 years ago
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