One angle in a triangle measures twice the smallest angle, whereas the largest angle is nine times the smallest angle. find the measures of all three angles.

To graph a linear equation, you need at least two pieces of information: the slope and a point, both intercepts, or two points. One point and the slope, or one intercept and the slope, are also sufficient to graph a linear equation.

For graphing a linear equation, there are several options that provide sufficient information:

To graph a linear equation, you need at least two pieces of information, such as the slope and a point or both intercepts. Having two points is also sufficient since it helps determine the slope. Having just one point or one intercept along with the slope is also enough to graph the line.

This graph is the answer:

Answer:

The argument is valid by the law of syllogism.

Step-by-step explanation:

The law of syllogism is also called the law of transitivity.  It is based on the transitive property, which states "if a = b and b = c, then a = c."  

In our problem, our statement a would be "A quadrilateral has two pairs of parallel sides".  Our statement b would be "It is a parallelogram."  Our statement c would be "Its opposite angles are congruent."

That would make "if a = b"

"If a quadrilateral has two pairs of parallel sides it is a parallelogram."

Then "b = c" would be

"If a quadrilateral is a parallelogram, its opposite angles are congruent."

"a = c" would then be

"If a quadrilateral has two pairs of parallel sides its opposite angles are congruent."

This is the conclusion we were given, so this is the law of syllogism.

1mm = 0.1cm

275 * 0.1 = 27.5 cm

1 g = 0.001 kg

954 x 0.001 = 0.954 kg

Answer: the answer is B and D

how i know i took a test and it said thes are the anwer

hope this helps you out you a lot

Answer:

[tex]5y - 10x - 35 = 0[/tex]

Step-by-step explanation:

The standard way to write a linear relationship between the x and y variables is through a homogeneous equation as a combination of the x and y variables with real coefficients. The form is given by the expression:

[tex]ax + by + c = 0[/tex]

The equation [tex]5y = 35 + 10x[/tex] can be written in standard form if terms are transposed, obtaining [tex]5y - 10x - 35 = 0[/tex]

Answer:

GCF = 9

Step-by-step explanation:

The expressions for the number of sweet Sue and Tony have are 13 - x and

18 + x / 2 respectively

Sue has 18 sweet.

Tony has 18 sweet.

Sue gives Tony x sweet . Sue sweet will be

Sue then eats 5 sweets then his sweet will be

Tony collected x sweet from Sue. His sweet will be

Tony ate half of his sweets . His remaining sweet will be

The expression for Sue sweets is : 13 - x

The expression for Tony sweets is : 18 + x / 2

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Expressions for the number of sweets sue and tony have now :

Sue: 13 - x sweets

Tony: (3/2)x + 18 sweets

Here are the expressions for the number of sweets Sue and Tony have now:

Sue: 18 - x - 5 = 13 - x

Tony: 18 + x - (1/2)x = (3/2)x + 18

Here's a breakdown of the calculations:

Sue's sweets:

Sue starts with 18 sweets.

She gives Tony x sweets.

She then eats 5 of her sweets.

Therefore, Sue now has 18 - x - 5 sweets, which can be simplified to 13 - x.

Tony's sweets:

Tony starts with 18 sweets.

Sue gives him x sweets.

He then eats half of his sweets.

Since Tony eats half of his sweets, he is left with (1/2) of his sweets. Therefore, Tony now has 18 + x - (1/2)x sweets, which can be simplified to (3/2)x + 18.

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Answer:

110

Step-by-step explanation:

Answer:

3 million

Step-by-step explanation:

Answer: C. about 0.71 of the field

Step-by-step explanation:

Since,  Roni can mow the field in 30 minutes.

Thus, the work done by Roni in one day = 1/30

And,  Allie can mow the field in 75 minutes.

Thus, the work done by Allie in one day = 1/75

⇒ The total work done by Roni and Allie in one day when they worked simultaneously,

= [tex]\frac{1}{30} + \frac{1}{75}[/tex]

= [tex]\frac{5}{150} + \frac{2}{150}[/tex]

= [tex]\frac{7}{150}[/tex]

[tex]\implies \text{The part of work done by Roni} = \frac{\text{the work done by her in one day}}{\text{Total work they done in one day}}[/tex]

[tex]= \frac{1/30}{7/150}[/tex]

[tex]= \frac{5}{7}=0.714285714\approx 0.71[/tex]

⇒ Option C is correct.

It is found that the composition of injective functions is injective.

An injective function is not a surjective function. This means that we want a function that has a unique output for each input, that doesn't cover the natural numbers.

Proof 1: Proving the composition of injective functions is injective.

f(x) is injective

f(a) = f(b)

a = b

Thus g(x) is injective

g(a) = g(b)

a = b

To prove; f(g(x)) is injective

f(g(a)) = f(g(b))

f(a) = f(b)

Since, g(x) is injective

a = b

Therefore, if f(g(a)) = f(g(b)), then a = b

That proving g(f(x)) is injective is going to follow a similar path of steps.

Proof 2: Proving the composition of surjective functions is surjective.

f(x) is surjective

The range of the function of x is the set of all real numbers

g(x) is surjective

The range of the function of x is the set of all real numbers

f(g(x)) is also surjective. The range of f(x) is the set of all real numbers. where g(x) represents all reals as well means that we touch all of the inputs needed to generate all the outputs for f(x).

Proving g(f(x)) to be surjective follows a similar path.

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To determine how long it will take for the population to triple, we need to solve the equation 3P0 = P0e^(rt) for t. Rounding the answer to one decimal place, it will take approximately 10.1 years for the population to triple.

To solve this problem, we can use the equation P = P0e^(rt), where P is the population at a given time, P0 is the initial population, e is the base of the natural logarithm (approximately 2.71828), r is the growth rate, and t is the time in years.

In this case, the population has doubled in 7 years, so we can write the equation as 2P0 = P0e^(r*7). We need to solve for r.

Dividing both sides of the equation by P0 gives us 2 = e^(7r). Taking the natural logarithm of both sides gives us ln(2) = 7r. Solving for r, we find that r ≈ ln(2)/7.

Now, to determine how long it will take for the population to triple, we need to solve the equation 3P0 = P0e^(r*t) for t. Substituting the value of r we found, we get 3 = e^((ln(2)/7)*t). Taking the natural logarithm of both sides to solve for t, we have ln(3) = (ln(2)/7)*t. Solving for t, we find that t ≈ 7 * ln(3)/ln(2). Rounding the answer to one decimal place, it will take approximately 10.1 years for the population to triple.

It takes approximately 11.1 years for the population to triple.

The population growth can be modeled by the exponential function [tex]P(t)=P_0 \times e^{k t}[/tex], where [tex]P_0[/tex] is the initial population, k is the growth rate, and t is time.

In this case, since the population doubles in 7 years, we have the relationship P(7) = 2 x [tex]P_0[/tex].

[tex]P(7)=P_0 \times e^{7 k}[/tex]

[tex]2 \times P_0=P_0 \times e^{7 k}[/tex]

Divide both sides by [tex]P_0[/tex].

[tex]2=e^{7 k}[/tex]

Take the natural logarithm (ln) of both sides to solve for k:

ln(2) = 7k

[tex]k=\frac{\ln (2)}{7}[/tex]

Now that we have the growth rate k, we can use it to find the time it takes for the population to triple.

[tex]P(t)=P_0 \times e^{k t}[/tex]

For tripling, [tex]P(t)=3 \times P_0[/tex].

[tex]3 \times P_0=P_0 \times e^{k t}[/tex]

[tex]3=e^{k t}[/tex]

Take the natural logarithm again:

ln(3) = kt

[tex]t=\frac{\ln (3)}{k}[/tex]

Substitute the value of k we found earlier:

[tex]t=\frac{\ln (3)}{\frac{\ln (2)}{7}}[/tex]

Using natural logarithm values:

[tex]t \approx \frac{1.0986}{\frac{0.6931}{7}}[/tex]

[tex]t \approx \frac{1.0986}{0.0990}[/tex]

t ≈ 11.09

The answer is 167,000 because if you round to the 6,782 up it is 7,000. If you round 57,782 up it is 60,000. so then just add those 2 together and plug the 100,000 into it.

To find m∠AKD, subtract the measure of ∠AKG from 180 degrees.

To find the measure of ∠AKD, we need to use the fact that the sum of the measures of angles in a triangle is 180 degrees. Since we know that ∠AKG is 133 degrees, we can subtract this from 180 to find the remaining angle.

180 - 133 = 47 degrees

Therefore, m∠AKD = 47 degrees.

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