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matrenka [14]
2 years ago
13

Lamar wanted to explain why the measure of angle 5 is equal to the sum of the measures of angles 1 and 3. A triangle with angles

1, 2, 3. The exterior angle to angle 1 is 4, to 2 is 5, to 3 is 6. Which geometry concepts should be used in Lamar’s work? supplementary angles and the sum of the measures of interior angles of a triangle complementary angles and the sum of the measures of interior angles of a triangle supplementary angles and vertical angles the sum of the measures of interior angles of a triangle and vertical angles.
Mathematics
1 answer:
Sati [7]2 years ago
8 0

Lamar explains it correctly. Then the angle ∠5 is equal to the sum of angles ∠1 and ∠2.

<h3>What is an angle?</h3>

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Lamar wanted to explain why the measure of angle 5 is equal to the sum of the measures of angles 1 and 3.

A triangle with angles 1, 2, 3. The exterior angle to angle 1 is 4, to 2 is 5, to 3 is 6.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

∠2 + ∠5 = 180° ...1

Triangle - The sum of the angle of the triangle is 180 degrees.

∠1 + ∠2 + ∠3 = 180° ...2

From equations 1 and 2, we have

∠2 + ∠5 = ∠1 + ∠2 + ∠3

        ∠5 = ∠1 + ∠3

Thus, angle ∠5 is equal to the sum of angles ∠1 and ∠2.

More about the angled link is given below.

brainly.com/question/15767203

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A cone has a radius of 24 cm and a volume of 1,920 cm cubed. What is the Volume of a similar cone with a radius of 18 cm?
Maurinko [17]
24 * 3/4 = 18

The radius of smaller cone is 3/4 the radius of original cone, so since these cones are similar, height must also be 3/4 times smaller.

So since radius is squared and we also multiple the height (V = 1/3 π r² h),
the volume of smaller cone would be 3³ / 4³ = 27 / 64 times smaller

So we have 1920 * (27 / 64) = 810.

Final answer: B
8 0
3 years ago
Which of these is an exponential parent function?  A. f(x) = 2^x – 3  B. f(x) = 2^x + 2  C. f(x) = 2^x  D. f(x) = 2^x + 1/3
anygoal [31]

An exponential parent function is the option C. f(x)= 2^{x}, from the given options.

What do you mean by exponential parent function?

The formula for their parent function is y = b^{x}, where b is any non zero constant. Below is a graph of the parent function, y = e^{x}, which demonstrates that it will never equal 0. And at y = 1 when x = 0, y crosses the y-axis.

According to options in the given question,

We have the option below in the given question:

A. f(x) = 2^x – 3 

B. f(x) = 2^x + 2 

C. f(x) = 2^x 

D. f(x) = 2^x + 1/3

We know from the above definition that the option C. is the right answer to the given question.

Therefore, the exponential parent function is f(x)= 2^{x}.

To learn more about exponential parent function, visit:

brainly.com/question/24210615?referrer=searchResults

#SPJ1

4 0
1 year ago
Help please solve for ABC i will give brainlest
Verizon [17]

Answer:

-9

Step-by-step explanation:

You subtract 2x-6 that gives you -3

You add 3x+31 that gives you 3

You multiply your to answers -3x3

And you get -9 Hope this helps!!!!

HAVE A NICE DAY

8 0
2 years ago
4 A numerical expression is shown below. Evaluate the expression.​<br><br>help please explain too
Andrews [41]

Answer:

H

Step-by-step explanation:

8 0
3 years ago
Is 9.521521521 rational or irrational
enyata [817]

If the numbers after the decimal terminate, yes, it's rational.

9.521521521 = 9,521,521,521 / 1,000,000,000

If they don't terminate, but the pattern continues (which I suspect is the case here), yes, it's still rational.

If <em>x</em> = 9.521521521…, then

1000<em>x</em> = 9521.521521521…

Subtract <em>x</em> from this to eliminate the fractional part:

1000<em>x</em> - <em>x</em> = 9521.521521521… - 9.521521521…

999<em>x</em> = 9512

<em>x</em> = 9512/999

If they don't terminate, but the pattern does <em>not</em> continue, meaning the next few digits could be something random like

9.521521521<u>19484929271283583457</u>…

then the number would be irrational.

7 0
3 years ago
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