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LenKa [72]
3 years ago
11

What is the measure of

Mathematics
2 answers:
Helen [10]3 years ago
7 0

Answer:

A = 37 degrees ; B = 82 degrees

Step-by-step explanation:

the angle A plus 143 must measure 180 degrees

angle A = 180 - 143 = 37 degrees

the sum of the inner angles of a triangle is 180 degrees

A + B + C = 180

37 + B + 61 = 180

B = 180 - 98 = 82 degrees

irga5000 [103]3 years ago
7 0
82 Degrees is the answer
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Math help pls, thank you! show steps if needed
Papessa [141]

Answer:

6) y = x^(5/3)

7) B

8) C

10) A

Step-by-step explanation:

6) The fifth root is the same as raising to the 1/5 power, so we can write this in exponent form as:

f(x) = (x^(1/5))³

f(x) = x^(3/5)

To find the inverse, switch x and y and solve for y.

x = y^(3/5)

y = x^(5/3)

7) f(x) = 2√(x − 4) + 8

Switch the x and y and solve for y:

x = 2√(y − 4) + 8

x − 8 = 2√(y − 4)

(x − 8) / 2 = √(y − 4)

(x − 8)² / 4 = y − 4

(x² − 16x + 64) / 4 = y − 4

¼x² − 4x + 16 = y − 4

y = ¼x² − 4x + 20

8) Find the inverse:

x = 5√(y + 3) − 2

x + 2 = 5√(y + 3)

(x + 2) / 5 = √(y + 3)

(x + 2)² / 25 = y + 3

y = -3 + (x + 2)² / 25

The inverse function is an upwards parabola with a vertex at (-2, -3).  The best fit is C.

desmos.com/calculator/fbabg5wc8b

10) √(4x − 31) = x − 7

Square both sides:

4x − 31 = (x − 7)²

4x − 31 = x² − 14x + 49

Combine like terms:

0 = x² − 18x + 80

Factor:

0 = (x − 8) (x − 10)

x = 8 or 10

Check for extraneous solutions.

√(4×8 − 31) = 8 − 7

1 = 1

√(4×10 − 31) = 10 − 7

3 = 3

x = 8 and x = 10 are both solutions.

4 0
3 years ago
2n + 1.6 = 17.6 what is the value of n?​
Vinil7 [7]

Answer:

<h2><u><em>n = 8</em></u></h2>

Step-by-step explanation:

2n + 1.6 = 17.6 what is the value of n?​

2n + 1.6 = 17.6

2n = 17.6 - 1.6

2n = 16

n = 16 : 2

n = 8

-----------------

check

2n + 1.6 = 17.6

2*8+1.6=17.6

16+1.6=17.6

17.6=17.6

the answer is good

7 0
2 years ago
Read 2 more answers
If $1000 is invested at an interest rate of 6.5% per year, compounded daily, find the value of the investment after the given nu
Blizzard [7]

Answer:

45

Step-by-step explanation:

4 0
3 years ago
What is missing for the following quantity to be true? 3x + 4y + 7a = 4y + 3x + __
Alex
The answer to your question is 7a.

4 0
3 years ago
Consider a rectangle with vertices A (4, 7), B (6, 7), C (4, -1), and D (6, -1). What is the length of side CD? What is the leng
bogdanovich [222]
Same way can find BD length

8 0
3 years ago
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