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trapecia [35]
3 years ago
11

Two supplementary angles are in a ratio of 7:11. find the measures of each angle

Mathematics
1 answer:
Over [174]3 years ago
5 0

Answer:

70° and 110°

Step-by-step explanation:

Supplementary angles sum to 180°

sum the parts of the ratio, 7 + 11 = 18 parts

Divide 180° by 18 to find the value of one part of the ratio.

180° ÷ 18 = 10° ← value of 1 part, thus

7 parts = 7 × 10° = 70°

11 parts = 11 × 10° = 110°

The 2 angles are 70° and 110°

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dalvyx [7]

Answer:

Any value of x

<em></em>

Step-by-step explanation:

Given

f(x) = \sqrt{x^2 - 1}

g(x) = \sqrt{x^2 + 1}

Required

What value of x is  f(g(x)) = g(f(x))

Solving for f(g(x))

f(x) = \sqrt{x^2 - 1}

f(g(x)) = \sqrt{(\sqrt{x^2 + 1})^2 - 1}

Solve the inner square

f(g(x)) = \sqrt{(x^2 + 1 - 1}

f(g(x)) = \sqrt{x^2 } }

f(g(x)) = x

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g(x) = \sqrt{x^2 + 1}

g(f(x)) = \sqrt{(\sqrt{x^2 - 1})^2 + 1}

g(f(x)) = \sqrt{x^2 - 1 + 1}

g(f(x)) = \sqrt{x^2 }

g(f(x)) = x

Equate f(g(x)) and g(f(x))

f(g(x)) = g(f(x))

x = x

<em>This implies that </em>f(g(x)) = g(f(x))<em> at any value of x</em>

8 0
4 years ago
What is the vertex of g(x) = 8x2 – 64x?
Simora [160]

Answer:

(4, -128).

Step-by-step explanation:

If the function is written in the form y = a(x – h)^2 + k, the vertex will be (h, k). Let's write the function 8x^2 - 64x in the form of a(x – h)^2 + k. g(x) = 8x^2 - 64x.

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7 0
3 years ago
Help is needed ! Leave a comment below if help is needed !
prisoha [69]

Answer:

Adding 1 every time if you can tell

Step-by-step explanation:

8 0
3 years ago
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STatiana [176]

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2nd box 24 images will be in 24/4= 6 minutes

3rd box in 9 minutes it will make 9*4=36 images

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8 0
3 years ago
Math question down below
frutty [35]
For the first drain the equation you need would be: 2n = 108

for drain B your equation would be: 5n = 108

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Drain B- 108/5 = 21.6
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3 years ago
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