MATHEMATICS HIGH SCHOOL

Part DWhat do the measures of angles BDA and BEA and the fact that AD and AE are radii of circle A tell us about BD and BE



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Answers

Answer 1
Answer:

Answer:

BD and BE are tangents to the circle

Step-by-step explanation:

Given

See attachment

Required

What does BD and BE represent?

From the attachment, we have:

\angle BDA = 90^\circ

\angle BEA = 90^\circ

Radii = AD\ and\ AE

The measure of angles between a tangent and the radius of a circle is always 90^\circ\n

So, because \angle BDA = 90^\circ and AD is a radius, then BD is a tangent to circle.

Similarly,; \angle BEA = 90^\circ and AE being a radius implies that BE is a tangent to circle.

Related Questions

What is the answer to 7n-2(n+5)< 3n-16
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If n=24, x=31, and s = 3 find the margin of error at a 95% confidence level. Give your answer to two decimal places. A) 0.59 B) 1.23 C) 1.96 D) 2.73
9 over 5 divided by 5 over 2
Find the product of the complex number and its conjugate. 3 + 3i

One positive integer is 1 greater than 3 times another positive integer. If the product of the two integers is 154, then what is the sum of the two integers?

Answers

Answer:

29

Step-by-step explanation:

Let the smaller integer be x.

The other integer is 1 greater than 3 times x, or 3x + 1.

The product is 154.

x(3x + 1) = 154

3x^2 + x - 154 = 0

157 = 2 * 7 * 11

14 * 11 = 154

22 * 7 = 154

(3x + 22)(x - 7) = 0

3x + 22 = 0 or x - 7 = 0

3x = -22 or x = 7

x = -22/3 or x = 7

-22/3 is not a positive integer, so we discard that solution.

The smaller integer is 7.

3x + 1 = 3(7) + 1 = 22

The greater integer is 22.

The sum of the integers is 7 + 22 = 29

Answer: 29

Step-by-step explanation:

-85 minus -16


HELP!!!!

Answers

-85-16 is equal to -101

I like to treat this as an addition problem to make it sound simple (may only apply to both being negative)

Ask yourself what is 85+16?
101

The question is asking the opposite negative version of it, meaning add a negative to change your answer to -101 as the final answer.

Answer:-69

Step-by-step explanation:-85 - -16 would be changed to -85+16 because there are two minus signs next to eachother.

Aseem and Stana are building model cars. stanas car is 5 less than 2 times the length of Aseem's car. The sum of the lengths of both cars is 20. write an equation to determine the lengths of Aseem's and Stana's cars

Answers

Answer:

Aseem’s : 8.3, Stana’s : 11.6

Step-by-step explanation:

Aseem: x

Stana: 2x-5

X+2x-5=20

3x=25

X = 8.3

Final answer:

The length of Aseem's car is approximately 8.33 and the length of Stana's car is approximately 11.66.

Explanation:

Let's define the length of Aseem's car as x. Stana's car is 5 less than 2 times the length of Aseem's car, so the length of Stana's car can be represented as 2x - 5. The sum of the lengths of both cars is 20, so we can set up the equation x + (2x - 5) = 20. Solving this equation will give us the lengths of Aseem's and Stana's cars.

Combining like terms, we get 3x - 5 = 20. Adding 5 to both sides of the equation, we have 3x = 25. Finally, by dividing both sides by 3, we find that x = 8.33.

The length of Aseem's car is approximately 8.33 and the length of Stana's car is approximately 2(8.33) - 5 = 11.66.

Learn more about Model cars here:

brainly.com/question/23587471

#SPJ12

Lydia was out at a restaurant for dinner when the bill came. Her dinner came to $30. After adding in a tip, before tax, she paid $34.50. Find the percent tip.

Answers

Answer:

15%

Step-by-step explanation:

Answer:

is 16.75

Step-by-step explanation:

Which statements accurately describe the function f(x) = 3(16)^3/4? Check all that apply.The initial value is 3.
The initial value is 48.
The domain is x > 0.
The range is y >0.
The simplified base is 12.
The simplified base is 8.

Answers

Answers:

These are the statements that apply:

The initial value is 3.

The range is y >0.

The simplified base is 8.

Explanation:

1) Given expression:

f(x)=3(16)^{(3)/(4) x

2) Check every statement:

a) The initial value is 3?

initial value ⇒ x = 0 ⇒

f(0)=3(16)^(0)=3(1)=3

∴ The statement is right.

b) The initial value is 48?

Not, as it was already proved that it is 3.

c) The domain is x > 0?

No, because the domain of the exponential functions is all the Real numbers.

d) The range is y > 0?

That is correct, the exponential function is continuous, and monotonon increasing.

The limit when x → - ∞ is zero, but y never reaches zero, and the limit when x → ∞ is + ∞, meaning that the range is y > 0.

e) The simplified base is 12?

This is how you simplify the base:

3(16)^{(3)/(4) x}=3{{(16}^((3/4)))}^x=3(16^(3/4)})^(x)=3((2^4)^(3/4))^x=3(2^3)^x=3(8)^x

Which shows that the simplified base is 8 (not 12).

f) The simplified base is 8?

Yes; this was just proved.

Answer:

a,c,e

Step-by-step explanation:

What is the simplified form of the following expression? 6c^2 + 2.5d - d + 2c^2 - 3d

Answers

Answer:

The simplest form would be:

8c² - 1.5d


Explanation:

To simplify an expression, we need to gather the like terms.

Like terms are the ones having the same variable raised to the same power


In the given expression:

6c² + 2.5d - d + 2c² - 3d


We have terms having c² and terms having d.

Therefore, we would gather them as follows:

6c² + 2.5d - d + 2c² - 3d

(6+2)c² + (2.5-1-3)d

8c² - 1.5d ......................> This is the simplest form


Hope this helps :)
for this you have to combine like terms, so the answer is:
8c^2-1.5d
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