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kenny6666
16 days ago
6

An envelope is classified as a large envelope if the length exceeds 11.5 inches . What is the length of the envelope shown? Roun

d to the nearest tenth

Mathematics
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In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
zzz [12365]

Answer:

∠ R > 90°

\angle s + \angle T < \angle 90

\angle R > \angle T

\angle R > \angle S    

Explicación paso a paso:

Dado que en el triángulo RST

\angle R> (\angle s +\angle T)

Ahora, según la condición, un ángulo es mayor que la suma de los otros dos ángulos.

En un triángulo, la suma de los tres ángulos es 180°

Por lo tanto, si un ángulo mide  90°, la suma de los otros dos debe ser igual a 90°

Y si uno de los ángulos es de 90°, solo los otros dos pueden ser de 45° cada uno.

Aquí suponiendo que el ángulo s = ángulo T = 30°, entonces con esta condición el ángulo r sería de 120°, que es mayor que 90°.

De lo anterior, se concluye que

Para, \angle R> (\angle s +\angle T)

∵ ∠ R = 120°, por lo tanto es mayor que 90°.

Es decir, ∠ R > 90°

\angle s + \angle T < \angle 90

\angle R > \angle T

\angle R > \angle S   Respuesta

9 0
3 months ago
Read 2 more answers
ΔABC is an equilateral triangle. m∠A = (3x - 12)°. Solve for x.
zzz [12365]
In the case of an equilateral triangle ABC, each angle measures 60 degrees, as the total angle sum in any triangle is 180 degrees, and dividing that by 3 yields 60. Setting this equal to 3x-12, we have 60 = 3x - 12. After adding 12 to both sides, we get 72 = 3x, and dividing 72 by 3 gives us x = 24.66! I hope this clarifies things for you!
6 0
2 months ago
Read 2 more answers
Solve each of the quadratic equations 3x=0.5x2
lawyer [12517]

Answer:

3x = 1 \\ x = \frac{1}{3}

6 0
2 months ago
Camry is a popular car manufactured by Japanese Car manufacturer, Toyota. Being one of the best selling cars in USA, all of the
zzz [12365]

Answer:

Clarified below.

Detailed explanation:

A population refers to the entire group of data available for analysis, from which a smaller set is selected for closer scrutiny. This population can include individuals, articles, experiments, or measurements. Hence, a population represents a compilation of data pertaining to subjects that are linked by a shared feature.

A sample is a smaller, manageable portion derived from a larger group. It embodies the traits of a broader population. Samples are utilized in statistical tests when the overall population size is too vast to feasibly include all members in the analysis.

A parameter plays a significant role in statistical analysis. It refers to the attributes that characterize a specific population. Examples include population mean, population standard deviation, population proportion, etc.

When forming a statistical inference about the population being examined, the parameter value remains unknown because collecting data from every single individual in the population is unfeasible. Therefore, a sample is drawn from the population to draw conclusions about the parameter.

A statistic is the calculated value derived from this sample's characteristics. For instance, this includes sample mean, sample standard deviation, sample proportion, etc.

The matched pairs are represented as follows:

Population: 2. All Toyota Camry (2020 US) model vehicles.

Sample: 4. A selection of 117 Toyota Camry (2020 US) vehicles that were picked.

Parameter: 7. The mean mileage of all Toyota Camry (2020 US) model vehicles.

Statistics: 6. The city mileage averaged for the 117 sampled Toyota Camry (2020 US) cars, which is 27.8 mpg.

7 0
2 months ago
Tim wants to build a rectangular fence around his yard. He has 42 feet of fencing. If he wants the length to be twice the width,
babunello [11817]

Response:

Dimensions of the rectangular fence:

x = 14 ft

w = 7 ft

A = 98 ft²

Detailed explanation:

Dimensions of the rectangular fence:

x = length, and w = width

Then x = 2*w ⇒ w = x/2

Perimeter is

p = 2*x + 2*w

p = 2*x + 2* x/2

p = 2*x + x

3*x = 42

x = 14 ft and w = 14/2  ⇒ w = 7 ft

4 0
2 months ago
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