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bezimeni [28]
3 years ago
14

What is the value of K

Mathematics
1 answer:
Elan Coil [88]3 years ago
8 0

Answer:

k = 10

Step-by-step explanation:

We first have to get the 3rd angle: 180 - 115 = 65

Sum of angles in a triangle = 180

65 + (4k + 5) + (6k + 10) = 180

Collect like terms

65 + 10k + 15 = 180

80 + 10k = 180

Subtract 80 from both sides

10k = 100

Divide both sides by 10

k = 10

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if f(x) = √(x²-9) , then Domain of f = __________ (a) (-∞,-3)∪(3,∞) (b) (-∞,-3]∪ [3,∞) (c) (-∞,∞) (d) [-3,3]
densk [106]

Answer:

domain is:(-∞,-3]∪ [3,∞)

Step-by-step explanation:

f(x)=√(x²-9)

f(x)=√(x-3)(x+3)

domain is:(-∞,-3]∪ [3,∞)

6 0
4 years ago
Find the distance between the points (6, 9) and (0, 1).
olganol [36]

Answer:

D= 10

Step-by-step explanation:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(0-6)^2+(1-9)^2}\\d=\sqrt{(-6)^2+(-8)^2}\\d=\sqrt{(36)+(64)}\\d=\sqrt{100}\\d=10

4 0
3 years ago
Martina has a circle with a diameter
klasskru [66]

Answer:

The ratio of the circumference to its diameter remains the same.

Step-by-step explanation:

Given,

diameter of circle = 6 inch

diameter is doubled.

New diameter of circle = 2 x 6 = 12 inch

We know that,

The Circumference of a circle is 2 π r or π d where r is the radius of the circle and d is the diameter of the circle.

Circumference of the circle when the diameter is 6 inches.

C₁ =   6π

Ratio of circumference to diameter

Ratio = \dfrac{6\pi}{6}

Ratio =  π

When the diameter is 12 inches

C₂ = 12 π

Ratio of circumference to diameter

Ratio = \dfrac{12\pi}{12}

Ratio =  π

Now, the correct statement is the ratio of the circumference to its diameter remains the same if the diameter is doubled.

4 0
3 years ago
Logan collect pledges for the charity walkathon. He will receive total contributions of $60 plus $20 for every mile that he walk
Afina-wow [57]
So 60 + 20 is 80, and that is $80 a mile. 80 x 3 = 240, + 80 = 320. and then we could say 2/6 of 80 is about 28, right? so i suppose 4 2/6? sorry if it's wrong, just trying to help to the best of my ability
4 0
3 years ago
Simplify the following expression.<br><br> 29.718 - 29.63
Oksi-84 [34.3K]

Answer:

0.88 is the correct answer

3 0
3 years ago
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