Please help me!! High School algebra 2 math. Big Ideas Math

Please Help Me!! High School Algebra 2 Math. Big Ideas Math

Answers

Answer 1

Answer:

x = 8

Step-by-step explanation:

Hello!

The missing angle in the triangle can be found by subtracting 90° and 45° from 180°. The missing angle is 45°.

This means that the triangle is isosceles, as there are two congruent base angles, 45° and 45°.

The side lengths opposite these two angles are congruent.

We can see that 8 is opposite 45°, and x is opposite 45°. Therefore, x must be equal to 8.

The value of x is 8.

Answer 2

Answer:

x = 8

Step-by-step explanation:

The interior angles of a triangle sum to 180°.

The given triangle is a right triangle, so the missing angle is 45°

⇒ 180° - 90° - 45° = 45°

As the triangle has 2 equal angles, this means it is an isosceles triangle (with its vertex at the right angle).  An isosceles triangle has legs of equal measure, therefore [tex]x=8[/tex].

Proof

This can be proven by using the tan trigonometric ratio to calculate the value of x.

Tan trig ratio

[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angle

Given:

[tex]\theta[/tex] = 45°O = 8A = x

Substituting the given values into the equation and solving for x:

[tex]\implies \tan (45^{\circ})=\dfrac{8}{x}[/tex]

[tex]\implies x=\dfrac{8}{\tan (45^{\circ})}[/tex]

[tex]\implies x=\dfrac{8}{1}[/tex]

[tex]\implies x=8[/tex]


Related Questions

The table shows the monthly low temperature for several cities in December. The monthly low temperature in Toledo in December was 212°F. Which of the cities in the table, if any, had a lower December temperature than Toledo? Explain your reasoning.

Please this is urgent, please.

Answers

Of these cities, the place that has the lowest temperature than Toledo is Youngstown.

What is the temperature of Youngstown?

The town is known to have a temperature that is less than 20. This shows that the temperature has fallen below all other temperatures in the table.

Hence it can be concluded that the lowest table here is the temperature of Youngstown at -20 degrees.

Read more on temperature here:

https://brainly.com/question/25677592

#SPJ1

6. Free trade is defined as "a system of buying and selling between countries that is
carried out with no government involvement Based on what you've learned about
international trade, write a three-to five-paragraph essay about who benefits the
most from free trade: developed, developing, or underdeveloped nations. (10 points)

Answers

Free trade is defined as "a system of buying and selling between countries that is. carried out with no government involvement Based on what you've learned about international trade,

What is International trade?

The term "lobby" here refers to that action which seeks to influence or affect a certain issue most specifically those that are business and politically related. And based on the scenarios above, the one that would most likely motivate an autoworker union to lobby congress would be the first option.  

The World Bank is a financial institution created after World War II by developed countries to promote economic development around the world through loans to developing countries. To get a loan, a developing nation must submit a project that is evaluated by World Bank secretaries. Some focus areas of the bank finances are human development, agriculture, environmental protection, industrial projects, infrastructure, and corporate governance.

To know more about Free trade follow

https://brainly.com/question/17727564

#SPJ1

How old are people when their voice change

Answers

For boys, it's between the ages of 12-16

And for girls, it's between the ages of 10-14

Answer:

boys between ages 12 and 16 girls between ages 10 and 14

What is the equation of a line that passes through (-6,2) and has a slope of -(1)/(2)?

Answers

Answer:

y= -1/2x+5

Step-by-step explanation:

(x-1)(x+1)= выполнить умножение

Answers

Answer:

x^2-1^2

Step-by-step explanation:

formula:

(a-b)(a+b)=a^2-b^2

What is the volume of this sphere?
Use 3.14 and round your answer to the nearest
hundredth.
18mm
cubic millimeters

Answers

Answer:  24416.64

Work Shown:

[tex]V = (4/3)*\pi*r^3\\\\V \approx (4/3)*3.14*18^3\\\\V \approx 24416.64\\\\[/tex]

1. Sally makes $600 dollars a week and earns 20% commission on her sales. If she sells $5000 dollars worth of furniture one week. What does she make in total? (Think weekly salary PLUS commission = total salary)​

Answers

Answer:

20% of sales : $1000

and salary+commission : $1000+ 600

So total salary : $1600

Paige is working on an art project. She draws two rectangles that are connected. The total area of the two rectangles is 56 centimeters. The
dimensions of the smaller rectangle are 2 centimeters by 7 centimeters.

Answers

Answer:

2 * 21

3 * 14

6 * 7

Step-by-step explanation:

7 * 2 = 14

56 - 14 = 42

Multiples of 42 = 2,3,6,7, 14, 21

The possible dimensions of the larger rectangle are:

21 centimeters by 2 centimeters

14 centimeters by 3 centimeters

7 centimeters by 6 centimeters

Let the dimensions of the larger rectangle be length L and width W.

We know that the total area of the two rectangles is 56 square centimeters.

Area of the smaller rectangle = 2 cm * 7 cm = 14 square centimeters

Area of the larger rectangle = Total area - Area of the smaller rectangle

Area of the larger rectangle = 56 square centimeters - 14 square centimeters

Area of the larger rectangle = 42 square centimeters

Now, we need to find the possible dimensions of the larger rectangle with an area of 42 square centimeters.

To find the possible dimensions, we can list all the pairs of whole numbers (L, W) whose product is 42.

7 * 2 = 14

56 - 14 = 42

Multiples of 42 = 2,3,6,7, 14, 21

Remember that the length (L) should be greater than or equal to the width (W) to avoid counting duplicates.

The possible dimensions are:

L = 42, W = 1 (42 cm * 1 cm = 42 square centimeters)

L = 21, W = 2 (21 cm * 2 cm = 42 square centimeters)

L = 14, W = 3 (14 cm * 3 cm = 42 square centimeters)

L = 7, W = 6 (7 cm * 6 cm = 42 square centimeters)

So, the possible dimensions of the larger rectangle are:

42 centimeters by 1 centimeter

21 centimeters by 2 centimeters

14 centimeters by 3 centimeters

7 centimeters by 6 centimeters

To learn more on Area click:

brainly.com/question/20693059

#SPJ3

Find the measure of the angle between u = 6i - 3j and
v = 2i+j to the nearest tenth of a degree.

Answers

Answer:

θ = 53.1°  (to the nearest tenth)

Step-by-step explanation:

FORMULA :

Let θ be the measure of the angle between U and V :

[tex]\cos \theta =\frac{\overrightarrow{U} .\overrightarrow{V} }{\left\Vert \overrightarrow{U} \right\Vert \times \left\Vert \overrightarrow{V} \right\Vert }[/tex]

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

[tex]\overrightarrow{U} \times \overrightarrow{V} =6\times 2+\left( -3\right) \times 1=9[/tex]

[tex]\left\Vert \overrightarrow{U} \right\Vert =\sqrt{6^{2}+\left( -3\right)^{2} } =\sqrt{45} =3\sqrt{5}[/tex]

[tex]\left\Vert \overrightarrow{U} \right\Vert =\sqrt{2^{2}+\left( 1\right)^{2} } =\sqrt{5}[/tex]

[tex]\left\Vert \overrightarrow{U} \right\Vert \times \left\Vert \overrightarrow{V} \right\Vert =3\sqrt{5} \times \sqrt{5} = 15[/tex]

…………………………………………………

Then

[tex]\cos \theta =\frac{9}{15} =\frac{3}{5}[/tex]

[tex]\theta =\cos^{-1} \left( \frac{3}{5} \right) =53.130102354156[/tex]

Find the area of the polygon with vertices of A(2, 2), B(2, 7), C(8, 7),
and D(4, 2)

Answers

Answer:

20 units²  

Step-by-step explanation:

Use technology or a z-score table to answer the question.
The weights of boxes of rice produced at a factory are normally distributed with a
mean of 20 ounces and a standard deviation of 1.5 ounces. Consider a shipment of 1500 boxes of rice.
How many of the boxes will weigh 18 ounces or less?
138 boxes
154 boxes
632 boxes
781 boxes

Answers

The number of boxes will weigh 18 ounces or less will be 138. Then the correct option is A.

What is a normal distribution?

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The weights of boxes of rice produced at a factory are normally distributed with a mean of 20 ounces and a standard deviation of 1.5 ounces.

Consider a shipment of 1500 boxes of rice.

Then the number of the boxes will weigh 18 ounces or less will be

z = (18 - 20) / 1.5

z = -1.33

Then the probability will be

P(x ≤ 18) = P(z ≤ -1.33)

P(x ≤ 18) = 1 - P(z > -1.33)

P(x ≤ 18) = 1 - [1 - P(z < -1.33)]

P(x ≤ 18) = P(z < -1.33)

P(x ≤ 18) = 0.091211

Then the number of the boxes will weigh 18 ounces or less will be

⇒ 0.091211 x 1500

⇒ 136.8

approximately 138 boxes.

Then the correct option is A.

More about the normal distribution link is given below.

https://brainly.com/question/12421652

#SPJ1

A weather forecast predicts that for each day from Monday to Friday this week, there is a $40\%$ chance of sun, a $25\%$ chance of getting 4 inches of rain, and a $35\%$ chance of getting 10 inches of rain. What is the expected value of the total number of inches of rain which will fall from Monday to Friday

Answers

Step-by-step explanation:

correct u know jsjsjsjsjajajaj shahha hshshs hsgshs hshshs hshshs hzhsvs hsvzvshsvss hshshs hshshs hshsh hshs

a prototype rocket burns 159 gallons of liquid hydrogen fuel each second during a regular launch. Make a table that shows how many gallons of fuel are burned after 2,3,5 and 10 seconds.

Answers

Answer:

Seconds:  2    ||  3     || 5     || 10     ||

---------------------||-------||--------||--------||

Gallons:   312  || 486 || 780 || 1560 ||

The volume of a cube is the cube of the length of a side. If a side is S, the volume is S^3. What is the volume of a cube with side 4 inches?

Answers

Volume is a three-dimensional scalar quantity. The volume of the cube with side length of 4 inches is 64 inches³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the volume of a cube is the cube of the length of a side. If a side is S, the volume is S^3. Therefore, the volume of cube with side 4 inches will be,

Volume of the cube = (4 in)³ = 64 in³

Hence, the volume of the cube with side length of 4 inches is 64 inches³.

Learn more about Volume:

https://brainly.com/question/13338592

#SPJ1

If set A contains seven distinct numbers and set B contains three distinct letters, how many elements are in (A U B)?​

Answers

Answer:  10 elements

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

Explanation:

Let's use an example to see why this is

A = {1,2,3,4,5,6,7}

B = {x,y,z}

A U B = {1,2,3,4,5,6,7, x,y,z}

We simply glue the two sets together to form one single big set. Because sets A and B have no overlap, this means we dont have to worry about tossing out duplicates (since there aren't any).

There are 7 items in set A, and 3 items in set B.

Therefore, we have 7+3 = 10 items in set A U B

The symbol U refers to the set union operator.

If you wanted to make a Venn Diagram, then you'd have two circles overlapping. In circle A will be the numbers 1 through 7. These values are not in the overlapped region. For circle B, the letters x,y,z are inside but not in the overlapped region. The overlapped region remains empty.

The set A U B talks about the collection of everything mentioned. It's the set of stuff in set A or in set B or in both sets.

-----------------

If you want a formula to write down on a notecard or reference sheet, then it would be

n(A U B) = n(A)+n(B)

where A and B are mutually exclusive, aka disjoint. This means they have nothing in the overlapped region

Solve y = ax² + c for x.

Answers

Answer:

[tex]x =\pm\sqrt{\dfrac{y-c}a}[/tex]

Step-by-step explanation:

[tex]~~~~~~y= ax^2 +c\\\\\implies ax^2 = y-c\\\\\implies x^2 =\dfrac{y-c}{a}\\\\\implies x =\pm\sqrt{\dfrac{y-c}a}[/tex]

doubling the sum of 5 and a number is equal to the same number decreased by 2. what is the equation

Answers

Answer:

2(x + 5) = x - 2

⟹ x = -12

Step-by-step explanation:

Doubling the sum of 5 and a number is equal to the same number decreased by 2. What is the equation?

This word problem can be written as:

⟹ 2(x + 5) = x - 2

1. Distribute:

2(x) + 2(5) = x - 2

⟹ 2x + 10 = x - 2

2. Subtract x from both sides:

2x - x + 10 = x - x - 2

⟹ x + 10 = -2

3. Subtract 10 from both sides:

x + 10 - 10 = -2 - 10

⟹ x = -12

4. Check your work:

2(x + 5) = x - 2

2(-12 + 5) = -12 - 2

2(-7) = -20

⟹ -14 = -14 ✔

Learn more here:

brainly.com/question/17821973

B) State whether the given pairs are complementary, supplementary or neither.
1) 25°, 155°

2) 46°, 44°

3) 68°, 108°

4) 180, 72⁰

6) 19⁰, 161°

5) 320, 58⁰.

Answers

Answer:

1st answer supplementary angles

2nd answer complementary angles

3rd answer neither

4th ananswe complementary angles

5th answer complementary angles

6th answer supplementary angles

hope you find this helpful

41 Buying music
LV
Dave loves music. He wants to listen to his favorite
singer's new CD. So he goes to Itunes and buys his
songs. One song costs 1,29 € and the album 9,99 €.
There are 8 songs on the album.
. What's the best choice?

Answers

Answer:

theUse the Distance and Midpoint Formulas to find the length and midpoint of the segments with indicated endpoints. Show your solution and answer inside the box.

Endpoints

Distance

 

Midpoint

1. (-5,8) and (9,4)

   

2. (6 ,- 3) and (10,11)

   

3. (2,1) and (-16,13)

   

4. (3,0) and (9 ,- 13)

        

5. (-3 ,- 10) & (-7 ,- 2)

(5 1/6-x)*2 7/10-1 3/14=3 2/7

Answers

Answer:

3.5

Step-by-step explanation:

Can anyone help me i really need it rn

Answers

Answer:

11.   g

12.  f

13.  e    (add all the frequencies)

14.  d

15.  c    (eg. 17.5 -8.5 = 9)

16.  b

17.  a

Let me know if you have any questions.

Hope this helps!

can someone help with this please


Answers

Answer:

Step-by-step explanation:

15 points, helppp please ​

Answers

Answer:

the value of c is 13.

Step-by-step explanation:

See the picture attached below for a step by step explanation

Kevin is running a marathon. His time comes to 26 miles in 2 2/3 hours. What is his speed in miles per hour?

Answers

x= mph
26 miles
2 2/3 hours

convert 2 2/3 into a fraction
2 2/3 =8/3

x = 26 / (8/3)
x = 9.75 miles per hour

The first number in a pattern is 6. The pattern follows the rule "Add 1, Multiply by 2" Which of the following shows the next four numbers in the pattern?

A - 7, 8, 9, 18
B - 12, 13, 26 27
C - 7, 14, 15, 30
D - 12 14. 28, 28

Answers

Answer:

C

Step-by-step explanation:

Remark

You must do the changes in order. Add 1 then multiply by 2

First entry: 6Add 1: 6 + 1 = 7Multiply by 2 = 2*7 = 14Add 1: 14 + 1 = 15Multiply by 2: 15 * 2 = 30

Answer: 7 14 15 30

Solve for x.
JKL
2x-4
8
16
7
56

Answers

you have to use intercept theorem, also known as Thales's theorem to slove this problem

what is the vertex of: y = x^2 + 8x - 10

Answers

Answer:

vertex = -4, -26

Step-by-step explanation:

The standard form of a quadratic function is : [tex]y=ax^{2} +bx+c[/tex]
The function here : y = [tex]x^{2}[/tex] + 8x - 10
is in this form with a=1, b=8 and c = -10
x-coord of vertex = [tex]\frac{-b}{2a}[/tex]
[tex]x_{vertex} =\frac{-8}{2} = -4[/tex]
To find corresponding value of y-coord of vertex , substitute

x = -4 into the function.
x=-4  : [tex]y=(-4)^{2} +(8*(-4))-10 = 16 +(-32)-10=-26[/tex]


what is the answer to a math problem I had it on khan academy but the problem I


1 2/7 divided by (-2 1/4)

Answers

hat is the answer to a math problem I had it on khan academy but the problem I

1 2/7 divided by (-2 1/4)

Answer:

-4/7

Step-by-step explanation:

1 2/7 divided by (-2 1/4)

1 2/7 = 9/7

-2 1/4 = -9/4

9/7 divided by -9/4 =

9/7 multiplied by -4/9 =

9's cancel out

1/7 multiplied by -4/1 =

-4/7

Write a rule for the nth term of the geometric sequence for which a1=−6 and a5=−486

Answers

The geometric rule for the nth term of the geometric sequence for which a1 =−6 and a5=−486 is -6 × 3^(n - 1)

The nth term of a geometric sequence

First term, a1 = -6

Fifth term, a5 = -486

a5 = ar^(n - 1)

-486 = -6 × r^(5-1)

-486 = -6r⁴

r⁴ = -486 / 6

r⁴ = 81

r = 4√81

r = 3

Geometric rule:

nth term = ar^(n-1)

nth term = -6 × 3^(n - 1)

Learn more about geometric sequence:

https://brainly.com/question/24643676

#SPJ1

Question 15 of 16
Which of the following is the domain of the function based on the input-
output table below?

Answers

Answer:

C

Step-by-step explanation:

it is because the hours spent by training will determine the pay at the end of the month.

therefore it's independent that's y it is the domain.

Other Questions
please help... Identify the shape of a cross section of the cone below. Patty had four times as many quarters as nickels. She had $12.60 in all. How many nickels andshe have? 1Use f(x) = x and (x) = 2x to solve the problems.f(2)=f1)=[f(f(2)) = Technician A says that after all repairs are made to the A/C system, the system needs to be evacuated to remove moisture. Technician B says that moisture in the system will dry out if the system is left open for several hours and compressed air is blown through the lines. Who is correct How many moles of au are in 66.4g of au Use the drop-down menus to complete each statement. electromagnets are made by coiling around certain . when electricity is passed through the , the in the all line up in the same direction, creating the "north" and "south" pole effect. what is an equation for the circle with center 92,40 and radius 7 The figure below shows a line graph and two shaded triangles that are similar:Which statement about the slope of the line is true? (1 point)It is fraction negative 1 over 3 throughout the line.It is 3 throughout the line.The slope from point O to point A is one-third times the slope of the line from point A to point B.The slope from point O to point A is three times the slope of the line from point A to point B. Are the equations 6x-6=3x and x-1=3x equivalent? Is salmon fortified or enriched? HURRYwhats a good claim for sayin no to bullying? 1. A person of mass 55 kg is in a bumper car that has a mass of 75 kg. They are together at a velocity of 8 m/s. a. what's the total momentum of the systemb. what is the momentum of the bumper car after the collision? did it change directions? how do you know? Which of these units is most appropriate to use when measuring the mass of a person? One positive number is 5 times another number. The difference between the two numbers is 1432, find thenumbers. EGG DROP The physics class is holding an egg drop competition. The formula h= 16t2+h0 can be used to approximate the number of seconds, t, it will take for the eggs to reach height, h, from an initial height of h0 in feet.Find the time it takes an egg to reach the ground if it is dropped from an initial height of 40 feet. Round to the nearest hundredth, if necessary. HELP ME PLEASE!!!................................................. What is the Substance that is oxidized in 2K+ S > K2S A function, h(x), is defined as shown.-X - 4, X 04h(x) = x-3,0 < x 32/x-2-X2, X2 4Which graph represents h(x)? Predict the products. nabr (aq) + mgcl2 (aq) ----> __ + __. will the reaction occur? 1)Read the following letter and point out the following parts: address, date ,salutation, body ,closing birgunj, parsa jan. 8, 2013 Dear nilu, how are things with you? when you left home for a homestay in ghale gaun, i was really sad, but now i am happy to know about your exciting journey there. nilu, how was your holiday there? i want to know the detailed description of your journey and your experience. will you send us a letter? wish you a safe journey back home! your loving brother, satya dev yadav 2. read the letter again and write a reply