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3 years ago

ASAP Find the measure of an angle if its supplement is 4 more than twice the measure of the complement.

Mathematics

1 answer:

wel3 years ago

4 0

Answer:

4 deg is the answer

Step-by-step explanation:

know these things

supplementary angles add up to 180 deg and

complementary angles add up to 90 deg.

now, let the unknown angle be x

supplementary angle of x = S = 180 - x

and

complementary angle of x = C = 90 - x

from the given statement

$s \: = 2 \times c \: + 4 \\ (180 - x) = (2 \times (90 - x)) + 4 \\ 180 - x = 180 - 2x + 4 \\ - x + 2x = 180 + 4 - 180 \\ x = 4$

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Citrus2011 [14]

In this question, we want to compare several numbers with different denominators and find out which number is the least. To compare this number, we have to change the denominator into the same number by finding the least common multiple (LCM) of the 4 numbers. The factor of each number will be:

3= 3 ^1

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8= 2 * 2 * 2 = 2^3

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We can find the LCM by multiplying a higher exponent of each prime number. The LCM will be:3^1 * 5^1 * 2^3 = 120

Each number will be:

Tiger= 2/3 * 40/40= 80/120

Redbird = 4/5 * 24/24= 96/120

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2 years ago

Which is an equation of a circle with center (2, -10) and radius 3?

Ilya [14]

C.(x-2)^2+(y+10)^2=9, plug the numbers in the original formula.

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3 years ago

What is the maximum value of P = 4x + 2y, given the constraints on x and y listed below?

Solnce55 [7]

P = 4x + 2y

additional info.
x+2y < 10
y < 2
x > 0
y > 0

y can only be 0, 1, and 2.

x + 2(0) < 10 = x < 10
x + 2(1) < 10 = x + 3 < 10 = x < 10 - 3 = x < 7
x + 2(2) < 10 = x + 4 < 10 = x < 10 - 4 = x < 6

x = 10 ; y = 0 : P = 4(10) + 2(0) = 40 + 0 = 40
x = 7 ; y = 1 : P = 4(7) + 2(1) = 28 + 2 = 30
x = 6 ; y = 2 : P = 4(6) + 2(2) = 24 + 4 = 28

The maximum value of P is 40. Where x is 10 and y is 0.

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3 years ago

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tangare [24]

The first step in solving quadratic equations by finding square roots is; C:square root both sides to isolate x

<h3>How to solve quadratic equations?</h3>

To answer this question, we will take an example of a quadratic equation that we need to find the square root as;

x² = 36

Now, to get the roots which are the values of x, we will first have to take the square root of both sides to Isolate x. Thus;

√x² = √36

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Read more about quadratic equations at; brainly.com/question/1214333

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2 years ago

A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made.

NeTakaya

Answer:

The minimum cost is $9,105

Step-by-step explanation:

To find the minimum cost differentiate the equation of the cost and equate the answer by 0 to find the value of x which gives the minimum cost, then substitute the value of x in the equation of the cost to find it

∵ C(x) = 0.5x² - 130x + 17,555

- Differentiate it with respect to x

∴ C'(x) = (0.5)(2)x - 130(1) + 0

∴ C'(x) = x - 130

Equate C' by 0 to find x

∵ x - 130 = 0

- Add 130 to both sides

∴ x = 130

∴ The minimum cost is at x = 130

Substitute the value of x in C(x) to find the minimum unit cost

∵ C(130) = 0.5(130)² - 130(130) + 17,555

∴ C(130) = 9,105

∵ C(130) is the minimum cost

∴ The minimum cost is $9,105

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3 years ago