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4 years ago

Consider the diagram.

Mathematics

2 answers:

juin [17]4 years ago

8 0

the answer to this problem is HL

AnnyKZ [126]4 years ago

6 0

The answer for the exercise shown in the figure attached is the first option:
Option 1: HL.
The explanation of the problem is shown below:
By the Hypotenuse Leg Theorem (HL), when the hypotenuses of two rigth triangles have the same length and one of the their legs have the same length too, you can conclude that both triangles are congruent.
Therefore, the correct answer is the first option.

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The radius of a sphere is 6cm. What is the volume of the sphere? (As pi)

natita [175]

Answer:

288πcm^3

Step-by-step explanation

v=(4/3)πr^3

v=(4/3)π*6^3

v=288πcm^3

4 0

3 years ago

Which of the following is a line segment in the drawing that connects two parallel lines?

charle [14.2K]

Answer:

line segment BE

Step-by-step explanation:

Parallel lines are lines that never cross. In this case, the two parallel lines are AC and DF. A line segment is part of a line that has a point at either end. The only segment which crosses lines AC and DF is segment BE.

Also, if you look at the answer choices, the first two indicate a line ↔ above the letters, which represents a line that doesn't end, while the other two choices just have a line to indicate a segment.

8 0

3 years ago

The ratio of pencils to pens is 3:5. If there are ten more pens than pencils, how many pencils are there? *

Ugo [173]

Answer:

6 is the answer

pencil/pen=3/5

5pencil=3pen

1 pencil=3/5 pen

1 pen=5/3pencil

pencil/pen=3/5

pencil/10=3/5

pencil=30/5=15

6 0

3 years ago

Read 2 more answers

In this exercise, we estimate the rate at which the total personal income is rising in the Richmond-Petersburg, Virginia, metrop

babymother [125]

Answer:

The rate at which the total income is increasing is$1627415600

Step-by-step explanation:

From the given data

Population in the area=P=961400

The rate of increase in population=dP/dt=9200

The Average Income=I=$30593

The rate of increase in Average Income=dI/dt=$1400

Now the total income is given as

Total Income=TI=PI

So the rate of increase of total personal income is given as $\frac{d}{dt}(PI)$

From the product rule of derivatives

$\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}$

Here

I is the Average Income which is given as $30593

dI/dt is the rate of increase of income which is given as $1400.

P is the population of the area which is given as 961400

dP/dt=9200 is the rate of increase of population which is given as 9200

By substituting the values,

$\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}\\\frac{d}{dt}(P*I)=30593*9200+961400*1400\\\frac{d}{dt}(P*I)=\$1627415600$

So the rate at which the total income is increasing is$1627415600

8 0

4 years ago

Which equation shows how to find the product of 100,000 and 1,000,000 using scientific notation?

Drupady [299]

Your answer is B 100,000 × 1,000,000 = (1 × 10^5) × (1 × 10^6) = 1 × 10^(5 × 6) = 1 × 10^30 because...

100,000=1×10^5
1,000,000=1×10^6

And 5×6=30

Also its not A because 5×6=30 not 11 its not C because 5×6=30 not 13 and when it came down to rather B or D I choose Because once again 5×6=30 no 42.

Basically all of the options are worded correctly but their they didn't multiply it the same at the end which is 5×6

Your answer is B.

8 0

3 years ago

Read 2 more answers