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Vera_Pavlovna [14]
3 years ago
5

What is the definition of "point of tangency" in geometry?

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
7 0
The tangent line when at a plane curve at a given point is the straight line that touches the curve at that point.
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Simplify. Write your answer using whole numbers and variables.
Andre45 [30]

Answer:

q + 7

Step-by-step explanation:

(q² + 4q − 21) / (q − 3)

Factor the numerator:

(q + 7) (q − 3) / (q − 3)

Divide:

q + 7

5 0
3 years ago
Becky put $100 into in the account to use for school expenses. The account earns 11% interest, compounded annually. How much wil
Mnenie [13.5K]

Answer: $187 will be in the account after 6 years.

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $100

r = 11% = 11/100 = 0.11

n = 1 because it was compounded once in a year.

t = 6 years

Therefore,.

A = 100(1 + 0.11/1)^1 × 6

A = 100(1 + 0.11)^6

A = 100(1.11)^6

A = $187

5 0
3 years ago
The measures of the angles of a triangle are ∠A = (2x)°, ∠B = (x+14)°, ∠C = (x−38)° Determine the value of x. Determine A B and
nexus9112 [7]

Answer:

Step-by-step explanation:

Measures of angles are,

m∠A = (2x)°

m∠B = (x + 14)°

m∠C = (x - 38)°

By triangle sum theorem,

m∠A + m∠B + m∠C = 180°

2x + (x + 14) + (x - 38) = 180

(2x + x + x) + (14 - 38) = 180

4x - 24 = 180

4x = 204

x = 51

m∠A = 2(51)° = 102°

m∠B = (51 + 14)° = 65°

m∠C = (51 - 38)° = 13°

4 0
2 years ago
Find the area of the composite shape. Make sure to show your work.​
earnstyle [38]

Answer:

I'm not sure

Step-by-step explanation:

sorry lol :(

4 0
3 years ago
X2 + 4x - 9 = 5x + 3<br> O A. 4<br> O B. -3<br> O C. -7<br> O D. 5<br> E. -2<br> F-4
elena-14-01-66 [18.8K]

Answer:

{x}^{2}  + 4x - 9 = 5x + 3 \\  {x }^{2}  - x - 12 \\  {x}^{2}  - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ x = 4 \: and - 3

7 0
2 years ago
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