can someone help me with number 5 and 6

Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

Each liter is equivalent to exactly: 4.22675 cups.

I hope this helps!

9514 1404 393

Answer:

  6 = 6/1 = 12/2 = 18/3

Step-by-step explanation:

The simplest ratio of integers with a value of 6 is ...

  6 = 6/1

We can multiply numerator and denominator by any non-zero integer value to obtain an equivalent:

  6 = 12/2 = 18/3 = -54/-9

Answer:

mom

Step-by-step explanation:

Regarding resolving the given issue, we have Consulting a financial advisor or credit counsellor may also be beneficial.

It is possible to multiply, divide, add, or subtract in mathematics. The following is how an expression is put together: Number, expression, and mathematical operator The components of a mathematical expression (such as addition, subtraction, multiplication or division, etc.) include numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and an arithmetic operation between them. For instance, the word m in the given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as does the variable m in the expression 4m + 5.

Rosa has a variety of loan alternatives, and the one with the lowest interest rate will rely on a number of elements, including her credit score, her income, and the loan's length. However, she would generally be able to pay the least amount of interest with a secured loan with a lower interest rate.

A loan that is secured by property, such a car or a house, is known as a secured loan. Rosa may want to think about a secured auto loan in this situation, where the vehicle itself acts as security for the loan. The lender is assuming less risk because the loan is secured, therefore they can charge a lower interest rate.

Rosa may also take into account an unsecured personal loan from a bank or credit union if she has strong credit. Personal loans are frequently provided with set interest rates and terms, which can make budgeting for them simpler. They do, however, often have higher interest rates than secured loans since they are unsecured.

Rosa should shop about and evaluate offers from several lenders to locate the best loan choice for her, taking into account things like interest rates, costs, loan periods, and repayment alternatives. Consulting a financial advisor or credit counsellor may also be beneficial.

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Answer:

I think the answer here is C. f(1)=5,f(n)=2+f(n-1) for n is more than or equal to 2

Step-by-step explanation:

this should be self explanatory.

Answer:

\( \frac{2}{8} \)

Step-by-step explanation:

\( \ \frac{3}{8} + \ \frac{3}{8} \\ \frac{6}{8} \\ \frac{8}{8} - \frac{6}{8} \)

\( = \frac{2}{8} \)

The based on this example, we can see that the converse of the Pythagorean theorem does not hold for this particular triangle.

To prove the converse of the Pythagorean theorem, we need to show that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

In the given triangle AABC, with vertices at A(1,6), B(1,1), and C(5,1), we can calculate the lengths of the sides using the distance formula or Pythagorean theorem.

AB = sqrt((1-1)^2 + (6-1)^2) = sqrt(25) = 5

BC = sqrt((5-1)^2 + (1-1)^2) = sqrt(16) = 4

AC = sqrt((5-1)^2 + (6-1)^2) = sqrt(40) = 2sqrt(10)

Now, let's check if AB^2 + BC^2 = AC^2:

AB^2 + BC^2 = 5^2 + 4^2 = 25 + 16 = 41

AC^2 = (2sqrt(10))^2 = 4(10) = 40

Since AB^2 + BC^2 is not equal to AC^2, the given triangle AABC does not satisfy the condition for the converse of the Pythagorean theorem.

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The measure of angle K is 128°

STEP - BY - STEP EXPLANATION

What to find?

The measure of angle K.

Given:

measure of angle J = (2x + 9)°

measure of angle M = (6x -1) °

To solve, we need to first make a sketch of the parallelogram

From the sketch above, observe that angle J and angle M are consecutive.

To find the value of x, add measure of J and K and equate to 180.

That is;

J + K = 180 (Consecutive angles)

(2x + 9) +(6x - 1) = 180

Collect like term

2x + 6x = 180 - 9 + 1

8x = 172

Divide both-side of the equation by 8.

x = 21.5

Substitute the value of x into angle M.

That is;

angle M = 6x - 1

= 6(21.5) - 1

=129 - 1

=129

angle M is 128°

Also observe from our sketch that angle K = angle M.

Therefore, the measure of angle K is 128°

Answer:The answer is f(x)=x-0.2x

Step-by-step explanation:

The best predicted weight of a person that is 156 cm is 285.4kg

y= 106+1.15

When the adult male is 156 cm tall the weight of this person would be calculated as:

y= 106+1.15*156

y = 106 + 179.4

y = 285.4

Hence we can arrive at the conclusion that the best predicted weight of a person that is 156 cm is 285.4kg

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Answer: it’s C

Your welcome

Step-by-step explanation:

Answer:

21.5

Step-by-step explanation:

Just find the find the difference between 34 and 77 (even though 34 is a negative) then half the answer.

Answer:

1 2 4 8 16 32 64

Step-by-step explanation:

prime factors of 64 is 2 so

2____64

2____32

2____16

2_____8

2_____4

2_____2

1

Answer:

factors of 64= 1,2,4,8,16,32 and 64

Step-by-step explanation:

when you speak of HCF.

it should be when comparing 2 or more factors

The expression that represents the perimeter of the given rectangle is 20x + 6 inches.

The perimeter formula for a rectangle is 2l + 2w. We are given that the length is 8x - 1 inches and the width is 2x + 4 inches, so we can substitute those expressions into the formula to get:

Perimeter = 2(8x - 1) + 2(2x + 4)

We distribute the 2 to each term inside the parentheses:

Perimeter = 16x - 2 + 4x + 8

We combine like terms:

Perimeter = (16x + 4x) + (-2 + 8)

Add the like terms together

Perimeter = 20x + 6

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The solution of x² + 5x - 5 = 0 is  :

x = 0.854 and -5.854 .

Here given equation,

x2 + 5x - 5 = 0

To solve the given equation use quadratic formula,

Using the quadratic formula,

x = [-b ± \(\sqrt{b2 - 4ac}\) ] /2a

Here,

a = 1, b = 5 and c = -5

By substituting,

x = [-5 ± \(\sqrt{52 - 4(1)(-5)}\) ] /2(1)

= [-5 ± √\(\sqrt{25 + 20}\)] /2

= [-5 ± √45] /2

= [-5 ± 6.708] /2

So,

x = (-5 - 6.708)/2

= -11.708/2

= -5.854

= (-5 + 6.708)/2

= 1.708/2

= 0.854

∴  the solutions of equation is : 0.854 and -5.854.

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Any equation that can be rearranged in standard form as follows, where x stands for, is referred to be a quadratic equation in algebra.

What constitutes the x2 + 5x - 5 = 0 solution set?

We must figure out the equation's answer. The answers to the problem are thus 0.854 and -5.854. x^2 + 5x - 5 = 0

It is impossible to factor a quadratic equation like this one. It can be resolved either by completing the square or by applying the quadratic formula.

x = (-b +-sqrt(b2 - 4ac))/2a is the quadratic formula, where an is the coefficient of the x2, b is the coefficient of the x, and c is the constant.

a = 1, b = 5, c = -5

x = (-5 +- sqrt(25+20))/2

x = (-5 +- sqrt(45))/2

x = (-5 + - 3 sqt 5))/2

x = (-5 + 3sqrt5)/2 as well as x = (-5 - 3sqrt5)/2.

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Step-by-step explanation:

yes, the step is correct.

a² = cx | multiply by c

ca² = c²x

I am just not sure how that simplified the equation.

what do you want to achieve ? what's the goal here ?

to solve the equation for x it would be to divide both sides by c, which gives

a²/c = x

Answer:

\(20 { }^{2} + 21 {}^{2} = 29 {}^{2} \)

Step-by-step explanation:

\(according \: to \: pythagoras \: thorem \: \\ 20 {}^{2} + 21 {}^{2} = 29 {}^{2} \)

PLEASE RATE AND MARK BRIANLIEST!!!!

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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It would be wiser for the couple to stay in the old apartment and save $1400.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation:

If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,

If they leave, they'll have to forgo $1000.

If they move to their new apartment, they'll pay $900 x 6 = $5400

total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.

It would be wiser for the couple to stay in the old apartment and save $1400.

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Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

Marcus jogged \(2\frac{1}{2}\) miles over the weekend.

Marcus jogged \(1\frac{2}{5}\) miles on Saturday and 9/10 miles on Sunday.

we first need to find a common denominator:

\(1\frac{2}{5}\)  = 7/5

9/10 = 0.9 miles

Now, we can round each of these to the nearest 1/2:

7/5 is closer to \(1\frac{1}{2}\) than 1, so we round to \(1\frac{1}{2}\)

0.9 is closer to 1 than 1/2, so we round to 1

Adding these rounded values, we get:

\(1\frac{1}{2}\) + 1 =\(2\frac{1}{2}\)

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(3x+y=5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line that has a slope oif -3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{2}) \implies y +4 = - 3 ( x -2) \\\\\\ y+4=-3x+6\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}\)

now, keeping in mind that perpendicular lines have negative reciprocal slopes

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -3 \implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3} \implies \cfrac{1}{ 3 }}}\)

so for this one, we're looking for the equation of a line whose slope is 1/3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{2}) \implies y +4 = \cfrac{1}{3} ( x -2) \\\\\\ y+4=\cfrac{1}{3}x-\cfrac{2}{3}\implies y=\cfrac{1}{3}x-\cfrac{2}{3}-4\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-\cfrac{14}{3} \end{array}}\)

The answer is D: conjecture

The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.

The other answer choices are defined as follows:

A. conjugation - the act of changing a verb to agree with its subject

B. conjunction - a connecting word

C. congruence - the state of agreeing, matching, or coinciding

D. conjecture - an opinion or conclusion formed on the basis of incomplete information

So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.

Answer:

(16 - 8 × 2 ÷ 4 + 6) ÷ 3 = 6

Step-by-step explanation:

The given expression is (16 - 8 × 2 ÷ 4 + 6) ÷ 3

We will solve this expression by using BODMAS rule,

B - Bracket (Parenthesis)

O - Order (exponents)

D - Division

M - Multiplication

A - Addition

S - Subtraction

(16 - \(8^{1}\) × 2 ÷ 4 + 6) ÷ 3

We will solve the expression inside the parenthesis first followed up by the exponents,

(16 - \(8^{1}\) × 2 ÷ 4 + 6)

= (16 - 8 × 2 ÷ 4 + 6)    

Then Divide,

= (16 - 8 × \(\frac{1}{2}\) + 6)

Then multiply,

= (16 - 4 + 6)

Further addition,

= (22 - 4 )

At last subtract,

= (18)

Now put the solution of the parentheses in the expression,

= (18) ÷ 3

= 6

Therefore, solution of the given expression will be 6.