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2 years ago

Which of the following statements must be true, given that AABC= AXYZ,

Mathematics

1 answer:

sattari [20]2 years ago

3 0

Answer:

B. m ∠Z = 32°

Given:

Δ ABC ≅ Δ XYZ

m ∠ C = 32°

When 2 triangles are congruent we can say that all side of 1 triangle are equal to corresponding sides of other triangle.

Side AB= Side XY And Side BC = Side YZ and side AC = side XZ

Also,

When 2 triangles are congruent we can say measure of all angles of 1 triangle are equal to measures corresponding angles of other triangle.

m ∠A = m ∠X and m ∠B = m∠Y and m ∠C = m ∠Z

m ∠ C = 32° hence m ∠ Z = 32

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The FBI wants to determine the effectiveness of their 1010 Most Wanted list. To do so, they need to find out the fraction of peo

Murrr4er [49]

Answer:

The proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.

Step-by-step explanation:

Since the FBI wants to determine the effectiveness of their 1010 Most Wanted list, and to do so, they need to find out the fraction of people who appear on the list that are actually caught, supposing a sample of 517517 suspected criminals is drawn, and of these people, 211211 were captured, to estimate the proportion of people who were caught after being on the 1010 Most Wanted list using this data, the following calculation must be performed:

517,517 = 100

211,211 = X

211,211 x 100 / 517,517 = X

21,121,100 / 517,517 = X

40.81 = X

Therefore, the proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.

4 0

2 years ago

Which these numbers cant round to 35 35.6 35.1 350.96 35.001 135.1

Ede4ka [16]

35.001 is the closest of the 5 to 35.

8 0

2 years ago

Tính đạo hàm của y=2x-1-căn3x-0

adoni [48]

Answer:

The derivative is

$\frac{dy}{dx} = 2 - \frac{2\sqrt3}{\sqrt x}\\$

Step-by-step explanation:

The function is given by

$y = 2x - 1 - \sqrt {3x}$

Differentiate with respect to x, we get

$\frac{dy}{dx} = 2 - 0 - \frac{2\sqrt3}{\sqrt x}\\\\\frac{dy}{dx} = 2 - \frac{2\sqrt3}{\sqrt x}\\$

7 0

2 years ago

Which of the following is an example of a quantitative variable?

egoroff_w [7]

Answer:

C) A person's height, recorded in inches

Step-by-step explanation:

Quantitative Variable:

A quantitative variable is a variable which can be measured and have a numeric outcome.
That is the value of variable can be expressed with numbers.
Foe example: age, length are examples of quantitative variables.

A) The color of an automobile

The color of car is not a quantitative variable as its outcome cannot be measured and expressed in value. It is a categorical variable.

B) A person's zip code

Some variables like zip codes take numerical values. But they are not considered quantitative. They are considered as a categorical variable because average of zip codes have no significance.

C) A person's height, recorded in inches

Height is a qualitative variable because it can be measured and its value is expressed in numbers.

5 0

2 years ago

In an ore, 9.8% of its total weight is metal. How many pounds of metal are in 1,950 lb of ore?

Fudgin [204]

Answer

Find out the how many pounds of metal are in 1,950 lb of ore .

To proof

let us assume that the pounds of metal are in 1,950 lb of ore be x .

As given

In an ore, 9.8% of its total weight is metal.

ore weight = 1,950 lb

9.8% is written in the decimal form

$= \frac{9.8}{100}$

= 0.098

Than the equation becomes

x = 0.098 × 1950

x = 191.1 pounds

Therefore the 191.1 pounds of metal are in 1,950 lb of ore .

Hence proved

5 0

2 years ago