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salantis [7]
3 years ago
11

What is the value of x? Enter your answer in the box.

Mathematics
2 answers:
klio [65]3 years ago
5 0

Yo sup??

by angle sum property of triangle we can say that

x-4+100+3x=180

4x=84

x=21

Hope this helps

madam [21]3 years ago
3 0

Answer:

x = 21

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the given angles and equate to 180, that is

x -4 + 3x + 100 = 180, that is

4x + 96 = 180 ( subtract 96 from both sides )

4x = 84 ( divide both sides by 4 )

x = 21

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What is the slope of a line perpendicular to the line whose equation is x+ 3y = -15 Fully simplify your answer.
alukav5142 [94]

Answer:

3

Step-by-step explanation:

We can find the slope of the given line in this two way:

1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3

2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x

3y = -x-15

y = -1/3x - 5

Also in this case we have -1/3

Two perpendicular lines have the the product of the their slope that is -1

So the slope that we are finding is 3

In fact = 3 x -1/3 = -1

3 0
3 years ago
Suppose the half-life of a material is 10 days. You have one 1 kg of the material today. How much of the material would you have
boyakko [2]

Answer:

0.50 kg of the material would be left after 10 days.

0.25 kg of the material would be left after 20 days.

Step-by-step explanation:

We have been given that the half-life of a material is 10 days. You have one 1 kg of the material today. We are asked to find the amount of material left after  10 days and 20 days, respectively.

We will use half life formula.

A=a\cdot(\frac{1}{2})^{\frac{t}{h}}, where,

A = Amount left after t units of time,

a = Initial amount,

t = Time,

h = Half-life.

A=1\text{ kg}\cdot(\frac{1}{2})^{\frac{10}{10}}

A=1\text{ kg}\cdot(\frac{1}{2})^{1}

A=1\text{ kg}\cdot\frac{1}{2}

A=0.5\text{ kg}

Therefore, amount of the material left after 10 days would be 0.5 kg.

A=1\text{ kg}\cdot(\frac{1}{2})^{\frac{20}{10}}

A=1\text{ kg}\cdot(\frac{1}{2})^{2}

A=1\text{ kg}\cdot\frac{1^2}{2^2}

A=1\text{ kg}\cdot\frac{1}{4}

A=0.25\text{ kg}

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6 0
4 years ago
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Vinvika [58]

Answer:

<h2>-x²+4x +6</h2>

Step-by-step explanation:

Given f(x)=4x+1 and g(x)=x²-5

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

(f-g)(x) = 4x+1 - (x²-5)

(f-g)(x)  = 4x+1-x²+5

(f-g)(x)  = -x²+4x +6

This gives the requires expression

4 0
4 years ago
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Answer:

Step-by-step explanation:

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