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e-lub [12.9K]
3 years ago
10

Right triangle proving right triangle congruent independent practice

Mathematics
1 answer:
lubasha [3.4K]3 years ago
4 0

Answer:

HL = Hypotenuse & Leg of a right triangle are congruent to another right triangle.

Step-by-step explanation:

To prove a triangle is congruent to another using HL, you must prove that the triangles have a corresponding 90 degree angles, corresponding congruent hypotenuse side lengths, and corresponding congruent hypotenuse legs.

The triangles here both have 90 degree angles a marked on the figure.

Two ways to Prove:

  • Reflexive property for the hypotenuse. Properties of a rectangle to prove equal legs.
  • Rotation about point M and translation



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Answer some of the questions, please
zloy xaker [14]

Answer:

1)= a 30

2)= b 2¹⁰

3)= d 0.75²

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The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T min
Maslowich

Answer:

67.3°C

Step-by-step explanation:

A = 25, T(0) = 100, T(1) = 90, find T(4)

dT/dt = -k(T - A)

d(T - A)/dt = -k(T - A)

d(T - A)/(T - A) = -k dt

ln(T - A) = lnC - kt

T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75

T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3

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4 years ago
1. The number of pizzas consumed per month by university students is normally distributed with a mean of 12 and a standard devia
9966 [12]

Answer:

0.00621

Step-by-step explanation:

To solve for this question: we would be making use of the z score formula.

z = (x - μ)/σ

where

x is the raw score

μ is the population mean

σ is the population standard deviation

Step 1

Find the Standard Error

From the above question, we are given number of samples, hence, the standard deviation we would use for our z score is Standard error.

Standard error = Standard deviation/√n

Where n = number of samples = 25

Standard deviation = 4

Standard error = 4/√25

= 4/5

= 0.8

Step 2

Calculate the z score

Since we are given number of samples in the question,

z score = z = (x - μ)/σ

where

x is the raw score = 14

μ is the population mean = 12

σ is the standard error = 0.8

z score = 14 - 12/0.8

z score = 2.5

Step 3

We find the Probability.

The probability that a randomly selected sample of 25 students will consume on average more than 14 pizzas per month is calculated as:

We find the Probability of the Z score 2.5 using a Z table.

P(z = 2.5) = P(x ≤ 14) = 0.99379

P(x > 14) = 1 - P(x<14)

= 1 - 0.99379

= 0.0062097

Approximately ≈ 0.00621

Therefore, the probability that a randomly selected sample of 25 students will consume on average more than 14 pizzas per month is

0.00621

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4 years ago
Which is the answer?
Tom [10]

Answer:

y=3x

Step-by-step explanation:

y=3x is the one according to values in the table

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