An angle measures 26° more than the measure of its complementary angle. What is the
measure of each angle?
and

Answer:144

Step-by-step explanation: so if the width is a quarter of the length, then there are 4 parts to both length sides, plus another 2 parts ( one for each width side), 10parts total.  360/10=36, so 1 part equals 36 for the width, which multiplied by 4 is 144

The solution associated with rational numbers is descriptively illustrated below with a detailed explanation.

What is a rational number?

Problems with the division of Rational Numbers:

(a) [tex]\frac{5}{7}[/tex] ÷ [tex]\frac{-11}{5} = \frac{5}{7} * \frac{5}{11} = \frac{25}{77}[/tex]

(b) [tex]\frac{\frac{-4}{5} }{\frac{3}{10} }[/tex]

[tex]\frac{-4}{5}[/tex]÷[tex]\frac{3}{10}[/tex]

[tex]\frac{-4}{5} *\frac{10}{3} \\=\frac{-8}{3}[/tex]

(c) [tex]\frac{-7}{17}[/tex]÷[tex]\frac{13}{34}[/tex]

[tex]\frac{-7}{17} X\frac{34}{13}[/tex]

(d) [tex]\frac{-2}{7}[/tex]÷[tex](\frac{-2}{21}[/tex] ÷ [tex]\frac{1}{7} )[/tex]

[tex]\frac{-2}{7}[/tex] ÷[tex](\frac{-2}{21} X\frac{7}{1} )[/tex]

[tex]= \frac{-2}{7} X \frac{-3}{2}[/tex]

[tex]=\frac{3}{7}[/tex]

He multiplied the denominator and numerator.

(e)

[tex]\frac{-1 \frac{1}{2} }{1\frac{2}{3} } \\\\=\frac{\frac{3}{2} }{\frac{5}{3} } \\\\=\frac{3}{2} X \frac{3}{5} \\\\=\frac{9}{10}[/tex]

(f) [tex]\frac{-3}{4}[/tex] ÷ [tex]\frac{2}{5} = \frac{-3}{4} X \frac{5}{2} =\frac{-15}{8}[/tex]

0.75÷0.4 = 1.875

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{2}{5} = \frac{3}{4} X \frac{-5}{2} =\frac{-15}{8}[/tex]

(g)

Reciprocal of [tex]-1\frac{1}{17} = \frac{-17}{18}[/tex]

Reciprocal of [tex]\frac{-17}{18} = \frac{-18}{17}[/tex]

The above expressions are multiplicative inverse as [tex]\frac{-17}{18} X \frac{-18}{17} =1[/tex]

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The answer is 1/2

The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Jackie grow hair in 3/2 month = 3/4

Jackie grow hair in 1 month = 3/4 x 2/ 3

                                                  = 1/2

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Answer:

mass of 1 mole 2^5/4=2^5/2a=c=0g

Step-by-step explanation:

2  is the value of invar in the base workspace after executing.

What are variables?

What three categories of variables are there?

Any feature, characteristic, or circumstance that can exist in various amounts or types is considered a variable. Independent, dependent, and controlled variables are typically present in an experiment.

invar = 1;

out1 = plusone(invar);

= 2

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Answer:

350p2+19500p-199000

(The first term is actually -350p² but I guess you have to write it as -350p2)

Step-by-step explanation:

Looks like that first term in the revenue equation is -350p²

We have
E = -1500p + 199000
R = -350p² + 18000p

Profit = Revenue - Expenses = R - P

Profit = -350p² + 18000p - (-1500p + 199000)

= 350p² + 18000p + 1500p - 199000

= 350p² + 19500p - 199000

Answer: i have same question somehelp

Step-by-step explanation:

The value of x is 3 days.

Here,

Jenna alone takes x days to finish a project.

Kelly alone takes 3 days more than Jenna alone to finish the project.

They together take 2 days to finish the project.

We have to find the value of x.

What is Mathematical expression?

Mathematical expression is a way where calculations and analytical processes should be observed.

Now,

Jenna alone takes x days to finish a project.

Hence, Jenna complete work in 1 day = 1/x work

Kelly alone takes 3 days more than Jenna alone to finish the project.

That is, x + 3 days.

Hence, Kelly complete work in 1 day = [tex]\frac{1}{x+3}[/tex] work

They together take 2 days to finish the project.

Hence, They together complete a work in 1 day = 1/2 work.

To find the value of x we use the formula of work word problem as;

[tex]\frac{1}{x} + \frac{1}{x+3} = \frac{1}{2} \\\\\frac{(x+3)+x}{x(x+3)} = \frac{1}{2}\\\\2(2x+3) = x (x+3)\\\\4x + 6 = x^{2} + 3x\\\\x^{2} -x-6=0\\\\x^{2} -3x+2x-6=0\\\\x (x-3) +2(x-3)=0\\\\(x+2) (x-3) = 0\\\\x = -2, x = 3[/tex]

Since, The value of x = -2 is not possible (because days are not shown in negative sign).

Hence, The value of x is 3 days.

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Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

where

a and b are the legs

and

c is the hypotenuse

.

the problem gives the "legs" because the LONGEST leg is always the hypotenuse.

a^2 + b^2 = c^2

1071^2 + 1840^2 = c^2

1147041 + 3385600 = c^2

4532641 = c^2

Answer:

60

Step-by-step explanation:

rid of precentage and zeros, multiply the numbers you have left.

Answer:3/16

Step-by-step explanation:

Simplify 6/32 in Lowest Terms

6/32 = (?)

6/32 = (2 x 3)/(2 x 2 x 2 x 2 x 2)

= 3/16

6/32 = 3/16

Answer:KIH=18

Step-by-step explanation:

4x+3+4x+3=12x

X=1.5

4(1.5)+3=9

4(1.5)+3=9

12(1.5)=18

Answer:

0

Step-by-step explanation:

As x aproaches a, (x-a) will aproach 0, so the numerator will aproach 0, and because 0 divided by anything=0, the whole function will become 0. So, the answer is 0.

Problem 14

Reason: The coefficients are numbers to the left of the variables

======================================================

Problem 15

Reason: The degree is the largest exponent.

======================================================

Problem 16

Reason: The term without any variables attached is the constant.

======================================================

Problem 17

Reason: The four terms are 11x, 9x^3, -8y, and 5

=======================================================

Problem 18

Reason: Write the terms with the largest exponent first. Then have the exponents count down.

The price of crude oil in 3.24 ¢ /cup.

A conversion factor is a number that is used to multiply or divide one set of units into another.

Some conversion factors are-

One gallon = 4 quarts;

4 cups = 1 quart

( ¢ =cents)

Now, as per the given question;

The crude oil was sold at $21.75 per barrel.

The volume of the barrel is 42 gallons.

Let 'P' be the total price of crude oil in ¢ /cup.

To determine the price in cents per cup, we must use the conversion factors:

Price P = ($21.75/1 barrel)×(100 ¢/$ 1.00)×(1 barrel/42 gallons)×1 gallon/ 4      quarts)×(1 quartz/ 4 cups).

Simplify the above equation;

Price per cup P = 3.24  ¢ /cup.

Therefore, the price of crude oil is 3.24 ¢ /cup.

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Answer:

17/23+3/23 = 10/23 =2.3

Step-by-step explanation:

brainliest

I have something on my page, please can you help me?

thankyou

Answer:

1 5/6

Step-by-step explanation:

The area of parallelogram ABCD is found to be 2√3 square units.

A quadrilateral is known as a parallelogram in geometry. The opposite sides of a parallelogram are parallel & equal in length. Rhombus, rectangle, & square are a few examples of parallelograms.

We know that diagonal of such a parallelogram divides it into two equal triangles.

So, parallelogram area,

ABCD = 2× area of ΔABC (equation 1)

The area pf the triangle is found through the vertices are (x₁,y₁), (x₂,y₂), (x₃,y₃) is;

Area = (1/2)×[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]

The vertices of the triangles are given as;

A(2,4), B(2+ √3 ,5) and C(2,6)

Area = (1/2)×[2(5−6) + (2+√3)(6−4) + 2(4−5)]

Area = (1/2)×[−2+2(2+ √3)−2]

Area = √3

When we plug this value into equation (1),

Parallelogram area,

ABCD = 2×the area of ABC

ABCD = 2×√3

ABCD = 2√3

Thus, the area of the parallelogram ABCD id estimated as 2√3 square units.

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The correct question is -

Find the area of a parallelogram ABCD if three of its vertices are A(2,4), B(2+ √3 ,5) and C(2,6)

The result of the expression given as 2/3+3/5 is: 19/15

To solve this exercise we have to perform a mathematical operation of division with fractions:

2/3+3/5

We apply the least common multiple of the denominators and we get:

Least common multiple of denominators: 3*5  = 15

[(15/3)*2 + (15/5)*3] / 15

[(5*2) + (3*3)]  / 15

(10 + 9) /  15

19/15

Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.

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y = 7/2x represents the relation that is shown in the graph.

Here the line goes through points (0, 0), (1, 3.5), (2, 7).

This means that these points must satisfy the equation of the line.

Let us, check each equation one by one

A. y = x + 2/7

Here if we take x = 0,

y = 0 + 2/7

y = 2/7

Thus, (0,0) does not satisfy and hence, we eliminate this option.

B. y = x + 7/2

Here if x = 0

y = 7/2

Thus, again (0,0) does not satisfy and hence, we eliminate this option.

C. y = 2/7 x

Here, if x = 0

y = 0

Hence, (0,0) satisfies.

if x = 1

y = 2/7

or y = 0.28

Thus, (1, 1.35) does not satisfy and hence, we eliminate this option.

D. y = 7/2x

Here, if x = 0

y = 0

Hence, (0,0) satisfies.

if x = 1

y = 7/2

or y = 3.5

Hence, (1, 1.35) satisfies.

if x = 2

y = (7/2)(2)

y = 7

Hence, (2, 7) also satisfies.

Thus, y = 7/2x represents the relation that is shown in the graph.

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Your question was incomplete. Check for full content below-

Which equation represents the relation that is shown in the graph?

Cost of Buying Comic Books. On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).

y = x + 2/7

y = x + 7/2

y = 2/7 x

y = 7/2x

{ 0,2,4,6,8} is  the complement of the set.

What is natural number in math?

Is zero a natural number?

u = {0, 1, 2, 3, 4, 5, 6, 7, 8}

Odd number less than 8  = { 1,3,5,7 }

complement =  {0, 1, 2, 3, 4, 5, 6, 7, 8} -  { 1,3,5,7 }

                     = { 0,2,4,6,8}

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Since they're in arithmetic progression, there is a constant difference between consecutive terms of

[tex](7x - 7) - (x - 1) = 6x - 6[/tex]

Recursively, the sequence is given by

[tex]\begin{cases} a_1 = x-1 \\ a_n = a_{n-1} + 6x - 6 & \text{for }n\ge2\end{cases}[/tex]

By substitution, we have

[tex]a_2 = a_1 + 6x-6[/tex]

[tex]a_3 = a_2 + 6x-6 = a_1 + 2(6x-6)[/tex]

[tex]a_4 = a_3 + 6x-6 = a_1 + 3(6x-6)[/tex]

and so on, up to the 14th term

[tex]a_{14} = a_1 + 13(6x-6)[/tex]

[tex]a_{14} = (x-1) + 78 (x - 1)[/tex]

[tex]a_{17} = 79 (x - 1) = \boxed{79x-79}[/tex]

The quantity that is best modeled by a linear function is given as follows:

the number of seconds as a function of the number of hours.

A linear function is modeled by the following rule:

y = mx + b

In which:

Another feature of linear functions is uniform behavior, as they are either increasing or decreasing over the entire domain, there are no changes from increasing to decreasing.

Heights increase or decrease over the domain, hence they are not linear, while the area of the square is quadratic, as A = s².

One hour has 3600 seconds, hence the number of seconds in a number of hours is modeled by the following linear function:

S(h) = 3600h.

Hence the quantity that is best modeled by a linear function is given as follows:

the number of seconds as a function of the number of hours.

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If the boy is riding a bicycle and gets stuck or got accident by a car, 440ml of IV fluid will be administered.

To avoid further injury, place the victim on the ground very gently and slowly without handling vigorously. In one direction, tilt the sufferer. Dress loosely around the waist, chest, and neck. So that the tongue can fall forward and allow blood and vomit to drain out, tilt your head back and slightly downward. When you come across an accident victim, the first thing you need to determine is whether the victim's body has sustained any physical wounds. Depending on how severe the collision was, you might not be able to see any inside injuries, but you will see a few exterior ones.

In a car accident, spine injuries and head trauma are common. Therefore, be aware that rough handling of the sufferer will result in additional injuries while opting to assist the victim in moving to a safer location on the road. Therefore, request any onlookers to carefully assist in moving the sufferer to a location near the road where it will be safer.

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The obtained two numbers by substitution method are 5 and 12.

The algebraic method for solving simultaneous linear equations is the substitution method.

Let the first number be 'x'.

Let the second number be 'y'

From the given condition that second number is 3 times 1 less than the first number.

That is;

y = 3(x - 1)

Now the sum of both number are given as 17.

x + y = 17.

Use substitution method, and put the value of y in the total sum.

x + y = 17.

x + 3(x - 1) = 17

Simplify the given equation;

x + 3x - 3 = 17

4x = 17 + 3

4x = 20

x = 5 (first number)

Put the value of x in y to find the value.

y = 3(x - 1)

y = 3(5 - 1)

y = 12 (second number)

Therefore, the values of two numbers are 5 and 12.

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Answer:D

Step-by-step explanation:

Answer:

I think it's the last one, the one that have month 4,6,8.

Step-by-step explanation:

The value of the expression using distributive property is [tex]-\frac{4}{5}[/tex] .

According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC.

The given expression is  [tex]\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}[/tex]

Here we take the reverse of the distributive property to solve the expression. We take the term of  [tex]\frac{4}{7}[/tex]  common from both the separate expressions:

[tex]=\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}\\\\=\frac{4}{7}(-\frac{3}{5}-\frac{4}{5})\\\\=\frac{4}{7}\times(-\frac{7}{5}) \\\\=-\frac{4}{5}[/tex]

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