< 2 and <3 are ____
angles. (1 point)
A.complementary
B.Overtical
C.right
D.supplementary

Answer:

12/8 = 30/x ... x =20minutes

Step-by-step explanation:

Correct Option is No matter what number you choose to substitute for the variable, the result will be a true statement.

The number of solutions of an equation based on the total number of variables contained in it. As a result, the equation system consists of two or more equations with two or more variables.

It can be any combination such as

There are three different forms of equation solutions, depending on the quantity of variables and equations. They are

The term “infinite” represents limitless or unboundedness.

For the infinite number of solution of the equation No matter what number you choose to substitute for the variable, the result will be a true statement.

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Answer:

They are both equal!

Step-by-step explanation:

To find the answers, do the following

For 75% of 85 multiply 0.75 by 85:

(0.75)(85) = 63.75

For 85% of 75 multiply 0.85 by 75:

(0.85)(75) = 63.75

So, both of them are equal to each other.

HOWEVER, there is thing with percents that the opposites equal each other. So, you see how the percent and the whole number is changed with the equations? Like 85 turns to 85% and whatnot. If the percent/whole number of something is reversed it will equal the same thing.  

So, you don't even need to do all the math to infer that they would be the same number. Changing the percent to the other number will yield the same result.

I hope that makes sense, ask questions if you need!!

The mean is  2,071,798.33

The Median is 1,485,552

The range is 7,425,310

The standard deviation is given as 1961105.68

Mean = (Sum of all populations) / (Number of cities)

= (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12

= 24,861,580 / 12

= 2,071,798.33

To find the median, we need to arrange the populations in increasing order and find the middle value. If we arrange these values, we get:

911,507, 978,908, 979,576, 1,021,795, 1,343,573, 1,423,851, 1,547,253, 1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817

Since there are 12 cities (an even number), the median would be the average of the 6th and 7th values:

Median = (1,423,851 + 1,547,253) / 2

= 1,485,552

The mode isn't applicable here as no city population repeats.

The range is the highest population minus the lowest population:

Range = 8,336,817 - 911,507

= 7,425,310

Standard deviation  =  (911507- 2068548.3333333)² +  (978908 - 2068548.3333333)² + (979576  - 2068548.3333333)²  + ( 1021795 -  2068548.3333333)² +  (1343573- 2068548.3333333)²  +( 1423851- 2068548.3333333)² + (1547253- 2068548.3333333)² +( 1584064- 2068548.3333333)² + (1680992- 2068548.3333333)² + ( 2320268- 2068548.3333333)²  +(2693976- 2068548.3333333)² +( 8336817 - 2068548.3333333)² / 12

= 46151226311869 / 12

=  3845935525989.1

\(standard deviation = \sqrt{ 3845935525989.1}\)

=  1961105.6896529

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Answer:

-9/14

Step-by-step explanation:

product of Three-fourths and Negative StartFraction 6 over 7 EndFraction

\( = \frac{3}{4} \times \bigg( - \frac{6}{7} \bigg) \\ \\ = \frac{3 \times ( - 6)}{4 \times 7} \\ \\ = - \frac{18}{28} \\ \\ = - \frac{9}{14} \\ \)

Answer:

-9/14 so the answer is B

Step-by-step explanation:

Hope this helps

Answer:

I think it is A≈225.77

Step-by-step explanation:

Answer:

Think about the PEMDAS rules for order of operations.

Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.

The value of the side length x is equal to 14 using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

sin45 = 7√2/x {opposite/hypotenuse}

√2/2 = 7√2/x {sin45 = √2/2}

x = 7√2 × 2/√2 {cross multiplication}

x = 7 × 2

x = 14

Therefore, the value of the side length x is equal to 14 using the trigonometric ratio of sine.

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Answer:

The final balance is $2,402.92.

The total compound interest is $302.92.

Step-by-step explanation:

A = P(1 + r/n)^{nt}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

A=2100(1+.045/12)^(3*12)

A=2100(1.00375)^(36)

A=2100*1.442478322

A=2402.92

gain of 302.92

Answer:

1. The shape of each cut surface is the same shape as the base it is parallel to: a rectangle. It is an 8" by 10" rectangle

Step-by-step explanation:

Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.

To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:

Step 1: Draw the angle ABC with a straightedge.

Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.

Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.

Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.

Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.

In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.

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Answer:

Option (1)

Step-by-step explanation:

Since the length of arc YZ = 12 units

m∠YXZ = one third of the full circle = \(\frac{360}{3}\) = 120°

From the formula of arc length,

Length of arc = \(\frac{\theta}{360}(2\pi r)\)

Where θ = Central angle subtended by the arc

r = radius of the circle

By substituting these values in the formula,

12 = \(\frac{120}{360}(2\pi r)\)

12 = \(\frac{2}{3}\pi r\)

\(18=\pi r\)

r = \(\frac{18}{\pi }\)

r = 5.73

r ≈ 6 units

Therefore, Option (1) will be the answer.

Answer:

the graph is (0,2)

Step-by-step explanation:

Answer: 166.72 \(ft^{2}\)

Step-by-step explanation: math

Step-by-step explanation:

All you have to do here is use the surface area, or SA, equation.

Sa=2lw+2lh+2hw
sa=2(8.5)(3.2)+2(8.5)(4.8)+2(4.8)(3.2)

Sa=54.4+81.6+30.72

Sa=166.72

Hope this helped!

The effect that does NOT relate to one's driving ability is breathalyzer test results indicating a high BAC. Option B.

While the breathalyzer test measures the blood alcohol concentration (BAC), it is a method used to determine the level of alcohol in a person's system and is commonly used in assessing impairment for driving under the influence.

Therefore, it directly relates to one's driving ability and is not excluded from the effects on driving ability caused by a BAC of .2 percent.

On the other hand, options, lack of coordination, impaired gross motor skills, and impaired reactions all directly relate to one's driving ability as they affect the physical and cognitive abilities necessary for safe and efficient driving.

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Answer:

Step-by-step explanation:

In this problem, we are expected to provide an outcome to a true statement that the left-hand side of the equation is the same as  the right-hand side

2a+2a=bc

Given that

a= 3,

b= 4,

c= 5.

We can substitute these values for a, b, and c in the given expression to see if the LHS and the RHS of the given expression are equal

2(3)+2(3)=4*5

6+6=20

12=20

The answer is FALSE because 12 is not equal to 20

Answer:

12,13,14

Step-by-step explanation:

Consecutive means something like 1,2,3 or 43,44,45.

So we know the siblings age is something like that.

We start from the youngest, and let's say the youngest's age is x.

Remember consecutive? So the three siblings' age would be x, x+1, x+2 respectively. We can prove this is consecutive by replacing x with a random number, say, 2. That would make x, x+1, x+2 become 2, 2+1, 2+2, which is 2,3,4.

Sum of their age is 39:

Adding x, x+1, x+2 together is 39, so x + x+1 + x+2 = 39

We can further simplify x + x+1 + x+2 = 39 into

3x + 3 = 39

3x = 39-3

3x= 36

x=36÷3

x=12

Remember that x is the youngest age? So naturally the three siblings' ages are 12, 13 and 14 respectively.

The parent function is  y = ∛x and the sequence of transformation is

From the question, we have the following parameters that can be used in our computation:

y = ^3√-8x_4 ​

Rewrite the above equation properly

So, we have the following representation

y = ∛-8x - 4

Start by shifting the function up by 4 units

So, we have the following representation

y = ∛-8x - 4 + 4

Evaluate the sum

y = ∛-8x

Reflect across the y-axis

So, we have

y = ∛8x

Horizontal stretch by 1/8

This is represented as

y = ∛1/8 * 8x

So, we have

y = ∛x

Hence, the parent function is  y = ∛x

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Answer:Rewrite the equation by factoring –8 from the radicand and taking the cube root to get –2 in front of the radical symbol.

The graph is reflected over the x-axis.

The graph is also reflected over the y-axis.

The graph is vertically stretched by a factor of 2.

The graph is translated ½ unit to the left.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

\(\frac{f(b)-f(a)}{b-a}\\ \\=\frac{f(-1)-f(-4)}{-1-(-4)}\\ \\=\frac{-4-2}{-1+4}\\ \\=\frac{-6}{3}\\ \\=-2\)

Therefore, the average rate of change over the interval [-4,-1] is -2.

Answer:

x = 14°, y = 127°

Step-by-step explanation:

Parallel lines: Two lines are considered as parallel if, and only if, they are coplanar and do not intersect each other.

Linear pair: Two adjacent angles whose opposite rays comprise of their noncommon side. These angles are also supplements; hence, the sum of their measures equal 180°.  

Corresponding angles: Two angles with corresponding or relative positions (same side along the transversal that are non-adjacent).

Corresponding Angles Theorem: if there are two lines cut by a transversal, then their corresponding angles are congruent.

Given that m ║n, and that we are asked to find the value of x and y:

As defined in the previous section, a linear pair are two adjacent angles that are supplements. Therefore, ∠(4x - 6)° and ∠(8x + 18)° are linear pair.

We can establish the following equation to solve for the value of x (by definition of linear pair ):
     ⇒ ∠(4x - 6)° + ∠(8x + 18)° = 180°

4x° - 6° + 8x°  + 18° = 180°

Combine like terms and constants:

12x° + 12° = 180°

Subtract 12° from both sides:
12x° + 12° - 12° = 180° - 12°

12x° = 168°

Divide both sides by 12 to solve for x:
\(\displaystyle\mathsf{\frac{12x^{\circ}}{12^{\circ}}\:=\:\frac{168^{\circ}}{12^{\circ}} }\)

x = 14°

Therefore, the value of x = 14°.

As defined in the previous section of this post, corresponding angles are located in relative positions in between the intersection of the parallel lines and transversal.  Moreover, according to the Corresponding Angles Theorem, corresponding angles are congruent.  

      ⇒  Corresponding angles: ∠(8x + 18)° ≅ ∠(y + 3)°

Since these two angles are congruent, we can set up the following equality statement: ∠(8x + 18)° = ∠(y + 3)°.

Substitute the value of x = 14° into the equality statement to solve for y:
∠(8x + 18)° = ∠(y + 3)°

8(14)° + 18° = y° + 3°

112° + 18° = y° + 3°

130° = y° + 3°

Subtract 3° from both sides of the equation:
130° - 3° = y° + 3° - 3°

127° = y

Linear pair:  ∠(4x - 6)° + ∠(8x + 18)° = 180°  

4(14)° - 6° + 8(14)° + 18° = 180°

56° - 6° + 112° + 18° = 180°

180° = 180°  (True statement).

Corresponding Angles:  ∠(8x + 18)° = ∠(y + 3)°

8(14)° + 18° = 127° + 3°

112° + 18° = 130°

130° = 130°   (True statement).

Therefore, x = 14° and y = 127°.

_________________________

Keywords:

Linear pair

Corresponding Angles

Supplements

Parallel lines

Transversal

_____________________________

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The cheaper price among this set of orange sales is the one done by trader B, who sells 8 for N120.

The cheaper price can be computed by finding out the price per unit.

                               Price of Set     Unit Price

Sale of 6 oranges        N100           N16.67 (N100/6)

Sale of 8 oranges        N120           N15.00 (N120/8)

Thus, selling 8 oranges for N120 is cheaper than selling 6 oranges for N100, and N1.67.

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We need to find the derivative of a function, but if we look at the function is a quotient. Then we can use the rule for the derivative of a quotient:

In this case, we have:

We can call:

Now we apply the rule:

We know that the derivative of h(x) = x^2 is 2x, and the derivative of g(x) = csc(x) is [-cot(x)csc(x)]

Replacing the values:

Simplifying:

We can factor out csc(x)*x in the numerator and solve the square in the denominator

Finally, we can factor the (-1) inside the parentheses and cancel out the x in the numerator:

And this is the final answer.

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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I'll use text forms of the logical symbols because copying/pasting on mobile is annoying.

⊕ = XOR

∨ = OR

∧ = AND

~ = NOT

↔ = IFF (meaning "if and only if")

→ = IMP (short for "implies")

and for logical equivalence I'll use a regular equal sign.

Then

p XOR q = (p OR q) AND NOT (p AND q)

(a) By definition of XOR, we have

p XOR p = (p OR p) AND NOT (p AND p)

= p AND NOT p

and this is tautologically FALSE.

(b) To rewrite XOR, first distribute the NOT over the AND using DeMorgan's law:

NOT (p AND q) = NOT p OR NOT q

Then we can interchange the AND and ORs using their respective distributive properties. That is,

p XOR q = (p OR q) AND (NOT p OR NOT q)

= (p AND (NOT p OR NOT q)) OR (q AND (NOT p OR NOT q))

= ((p AND NOT p) OR (p AND NOT q)) OR ((q AND NOT p) OR (q AND NOT q))

Both (p AND NOT p) and (q AND NOT q) are tautologically FALSE, so the truth value of either OR depends only on the other statements, so we have

p XOR q = (p AND NOT q) OR (q AND NOT p)

Recall the definition of IFF:

p IFF q = (p IMP q) AND (q IMP p)

Also recall that IMP is logically equivalent to

p IMP q = p OR NOT q

Then we have

p IFF q = (p OR NOT q) AND (q OR NOT p)

so that its negation is

NOT (p IFF q) = NOT ((p OR NOT q) AND (q OR NOT p))

= NOT (p OR NOT q) OR NOT (q OR NOT p)

= (NOT p AND q) OR (NOT q AND p)

The statements in bold match, so p XOR q is indeed equivalent to NOT (p IFF q).

Answer:

36 square yards

Step-by-step explanation:

The area of the triangle can be figured with the expression 1/2(b * h).

1/2(9 * 8)

Multiply 9 by 8 (operation in parentheses) to get 72.

1/2(72)

Then multiply 72 by 1/2 (which is the same as 72 divided by 2).

36 square yards

The area of this section of grass is 36 square yards.

Answer:

-2

Step-by-step explanation:

Each term is being multiplied by -2.

9(-2) → -18

-18(-2) → 36

Answer:

The center is (1,5) and the radius is sqrt(6)

Step-by-step explanation:

( x − 1 )^ 2 + ( y − 5 )^ 2 = 6

This equation of a circle is in the form

( x − h) ^2 + ( y − k )^ 2 = r^2  where (h,k) is the center and r is the radius

The center is (1,5) and the radius is sqrt(6)

Answer:

Center of a circle ⇒ ( 1 , 5 )

Radius of a circle ⇒ √6

Step-by-step explanation:

We know that the equation of a circle is:

( x - a )² + ( y - b )² = r²

Center of a circle ⇒ ( a , b )

Radius of a circle ⇒ r

Accordingly, let us solve this problem.

( x - 1 )² + ( y - 5 )² = 6

∴ Center of a circle ⇒ ( 1 , 5 )

Radius of a circle ⇒ √6