Mathematics College

a) work out the size of angle x
b) give reasons for your answer

A) Work Out The Size Of Angle X B) Give Reasons For Your Answer

Answers

Answer 1

Answer:

angle B=100 degrees

vertically opposite angle

angle B +x= 180 degree

100-180=x

80 degree =x

Answer 2

Answer:

x = 80°

Step-by-step explanation:

GIVEN :-

AD ║ EHCG as transversal∠CBD = 100°∠EFB = x°

TO FIND :-

The measure of x°

PROCEDURE :-

∠CBD + ∠FBD = 180°      (∵ ∠CBD & ∠FBD form a linear pair )

⇒ ∠FBD = 180° - 100° = 80°

Also,

∠FBD = ∠EFB       (∵ Alternative Interior Angles are equal )

⇒ x = 80°

Related Questions

Answer part C. I want step by step on this problem.

Answers

Answer:

[tex]Rate = 58007956.5217[/tex]

Step-by-step explanation:

Solving (c): The rate of change:

In this concept, the formula to use is:

[tex]Rate = \frac{V2 - V1}{t2 - t1}[/tex]

Where

[tex](t1,v1) = (0,62817000)[/tex] ----- In 2004

[tex](t2,v2) = (23,1397000000)[/tex] ------ In 2026

So, we have:

[tex]Rate = \frac{1397000000 - 62817000}{23 - 0}[/tex]

[tex]Rate = \frac{1334183000}{23}[/tex]

[tex]Rate = 58007956.5217[/tex]

) Express each of these statements using mathematical and logical operators, predicates, and quantifiers, where the domain consists of all integers. a) The sum of two negative integers is negative. b) The difference of two positive integers is not necessarily positive. c) The sum of the squares of two integers is greater than or equal to the square of their sum. d) The absolute value of the product of two integers is the product of their absolute values.

Answers

Answer:

a. ∀ a, b ∈ Z, if a < 0 ∧ b < 0 ⇒ a + b < 0

b. ∀ a, b ∈ Z, if a > 0 ∧ b > 0 ⇒ a - b < 0 ∨ a - b > 0

c. ∀ a, b ∈ Z, a² + b² ≥ (a + b)

d. ∀ a, b ∈ Z, |ab| = |a||b|

Step-by-step explanation:

a. The sum of two negative integers is negative.

First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, if a and b are negative, we write if a < 0 ∧ b < 0 where the logical operator ∧ represents "and". So, we have the statements ∀ a, b ∈ Z, if a < 0 ∧ b < 0. Then finally, we use the logical operator ⇒ to imply the summation of the two integers as ⇒ a + b. And since we are to show that their sum is less than zero, we write ⇒ a + b < 0.

Combining this statement with the previous expressions, we have

∀ a, b ∈ Z, if a < 0 ∧ b < 0 ⇒ a + b < 0

b. The difference of two positive integers is not necessarily positive.

First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, if there exists a and b that are positive, we write if a > 0 ∧ b > 0 where the logical operator ∧ represents "and". So, we have the statements ∀ a, b ∈ Z, a > 0 ∧ b > 0. Then finally, we use the logical operator ⇒ to imply the difference of the two integers as ⇒ a - b. And since we are to show that their difference is either less than zero or greater than zero, we write ⇒ a - b < 0 ∨ a - b > 0 where ∨ implies the logical operator "or".

Combining this statement with the previous expressions, we have

∀ a, b ∈ Z, if a > 0 ∧ b > 0 ⇒ a - b < 0 ∨ a - b > 0

c. The sum of the squares of two integers is greater than or equal to the square of their sum.

First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, since we are dealing with the sum of the squares of each integer, we write a² + b². And, we are to show that this sum is greater than the sum of the individual integers, we write their sum as a + b, and we show the previous sum to be greater than or equal to this as a² + b² ≥ (a + b).

Combining this statement with the previous expressions, we have

∀ a, b ∈ Z, a² + b² ≥ (a + b)

d. The absolute value of the product of two integers is the product of their absolute values.

First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, since we are to show that absolute value of the product of the integers equals the product of the absolute value of the individual integers, we write the that absolute value of the product of the integers as |ab| and the product of the absolute value of the individual integers as |a||b|.

Since we are to show that this expression and the previous expression are equal, we write |ab| = |a||b|.

Combining this statement with the previous expressions, we have

∀ a, b ∈ Z, |ab| = |a||b|

what fraction is 15 minutes of 1 hour​

Answers

Answer:

1/4

Step-by-step explanation:

Convert 1 hour to minutes

1 hour = 60 minutes

Then you can find the fraction

15/60

simplifies to 1/4

15 minutes is 1/4 of 60 minutes/1 hour

Could someone help me with this

Answers

Answer:

try to do this formula

XYZ

= X times Y times Z

Is this table linear or not?

Answers

Yes it’s a straight line wh no curves

Write an equation to represent the total cost y for x days of renting a mid-size car from each of these companies. *

Answers

Answer:

Step-by-step explanation:

Hindi ko alm hehe

Yo no si sorryyyyyyyyyyyyyyyyyyyyyyy

pls help with both the equations​

Answers

Answer:

what is the question send it in the comment fast

Which figures are polygons?
Select each correct answer.
Figure A
Figure B
Figure C
Figure D

Answers

A B and D

A & D are known as irregular polygons

Understanding Fractions as Division - Item 30582 A recipe calls for 12 cups of blueberries to make 7 jars of blueberry jam. What is true about the number of cups of blueberries in each jar? 7 Each jar has 12 cup of blueberries. Each jar has 1 of 7 cups of blueberrie Each jar has 12 cups of blueberries. Each jar has 1 cups of blueberries.​

Answers

Answer:

C. Each jar has 12/7 cups of blueberries.

Step-by-step explanation:  

12 cups of blueberries ⇒ 7 jars of jam ⇒12 / 7 cups of blueberries ⇒ 7 / 7 jars of jam ⇒12 / 7 cups of blueberries ⇒ 1 jar of jam

The answer options (restored as original):

A. Each jar has 7/12 cup of blueberries. ⇒ incorrectB. Each jar has 1/12 of 7 cups of blueberries. ⇒ incorrectC. Each jar has 12/7 cups of blueberries. ⇒ correctD. Each jar has 1 5/12 cups of blueberries.​ ⇒ incorrect

 

How can you use standard deviations to compare the spread of each data set?
Sample A: 2,5,1,2,3,3,4,3
Sample b: 10,5,1,2,3,7,4,3

Answers

Calculate the standard deviation for each data set:

Sample A = 1.246

Sample B = 2.924

The smaller the deviation the closer the data set is, the larger the deviation the more widespread the data set is.

Sample B has a larger deviation so the spread of the data is wider.

A $7.00 item is marked down by 10%.
What is the new cost of the item?
Round to two decimals if needed.
$

Answers

Answer:

6.3

Step-by-step explanation:

sofia and two of her friends are going to share one-fourth of a pizza. How much will each person get? I need some help

Answers

Answer:

83/100

Step-by-step explanation:

help give thanks stars

Answers

0.5a - 1.9b = -1.4 b

Which statements are true??

Answers

A is true, B is false, C is false, D is true and E is true :]
True false false true and true

I need to multiply 10,170 by 0.775​

Answers

Answer:

7881.75

Step-by-step explanation:

10,170x0.775

Answer:

7881.75

Step-by-step explanation:

Convert 20 miles to km

Answers

Answer:

32.1869

Step-by-step explanation:

You can use an online converter!

You can look up Miles to KM

They boost the economy

Answers

Answer:

I think the question is incorrect

Step-by-step explanation:

they boost the economy why is this in mathematics

‍♀️‍♀️

plz help right now plz

Answers

125, 150 , 175, 200 , 225 because you just continue to add $25 for each hour

PLEASEEEE HELP THIS IS DUE TODAY!!!

Answers

Answer: $200

Step-by-step explanation:

On the X axis, it shows the kilograms. Since the problem asks for how much money she makes for 60 kg, go to the point on the X axis that represents 60 kg and then go up to the corresponding y or dollar value, which is 200.

Tims piggy bank contains nickels and quarters worth $6.70. He has 62 coins in all. How many of each coin does Tim have?

Answers

Answer:

well you see it really

Step-by-step explanation:

Using two or more complete sentences, describe and correct the error in the solution.

Solve the system of equations.

3x - 2y = 2

9x - 6y = 6

3x - 2y = 2 → 9x - 2y = 6
9x - 6y = 6 → 9x - 6y = 6
-8y = 12
y = 1.5
3x - 2y = 2 → 3x - 2(1.5) = 6
3x - 3 = 6
3x = 9
x = 3​

Answers

Answer:

In the very first step, when they multiply both sides by 3 the -2y should become -6y but instead it stays as -2y. The correct solution would be:

9x - 6y  =6

9x - 6y = 6

0 = 0

This means there are infinite solutions.

How many solutions ?

Answers

Answer:

one solution

the solution is x=0

Answer:

1

Step-by-step explanation:

You can figure this out using a simple trick. The highest number to the power that a variable goes to is the number of answers for that question. Meaning if There was an x cubed in that problem, there would be 3 answers.

Find the value of y if the mean is 22 and 18 ( 2y+1), 10 and 20 is 15
​

Answers

Answer:

2

Step-by-step explanation:

Mean = sum of data/sample size

Sum of data = 22 + 18 + 2y+1 + 10 + 20

Sample size = 5

Mean = 15

Substitute

15 = 22 + 18 + 2y+1 + 10 + 20/5

15*5 = 22 + 18 + 2y+1 + 10 + 20

75 = 70+2y+1

2y = 75-71

2y = 4

y = 4/2

y = 2

Hence the value of y is 2

What is the area of the shaded sector of the circle?
O 201 units?
O 40tt units?
O 180 units?
O 400 units?

Answers

Answer: 180 pie units^2

Step-by-step explanation:

Got it right on edg

The area of the shaded sector subtending 162° at the center is 180π units².

The option (3) is the correct answer.

What is the sector of a circle?

A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.

In the diagram, we are given a circle with a shaded sector:

The radius of the circle (r) = 20 units

The angle subtended by the shaded sector = 162°

To find the area of the shaded sector, we can use the formula:

= [tex]\frac12 \theta r^2[/tex]

Where θ is the angle subtended in radians and r is the radius.

162° = 162° × (π/180°) rad

= 0.9 π rad

area of the shaded sector = (1/2) × 0.9 π × 20² = 180π units²

Hence, the area of the shaded sector subtending 162° at the center is  180π units².

To learn more about sector of a circle, click:

https://brainly.com/question/25305793

#SPJ7

Can someone please answer this question
Giving brainleist!

Answers

Answer:

a) 9000

b) 40

c) 630

d) 125

What is MA and ABC ifMB = 35° and MC equals 92°

Answers

Assuming is a triangle MA is 53°.

Explanation: the angles within a triangle can only make up 180° total. No other number. Since there is only three sides, ABC, I assumed it was a triangle. I added MB and MC to get 127. Subtracted 127 from 180, and got 53.

What is the value of x?

Answers

Answer:x=31

not sure

Step-by-step explanation:

write a real world problem for the following inequality X < 17 brainly

Answers

Answer:

i want to drive alone but i am 15 and need to be 17

Step-by-step explanation:

5. The value of an investement increased by 10%. The original amount of the
investment was $40.00. What is the current value of the investment?
Show your work
Please help me on this I need help

Answers

Answer:I Dont know about this one soryy

Step-by-step explanation:

Please help I don't get this

Answers

Answer:

18n+9

Step-by-step explanation:

9(2n+1)

multiply the 9 with the numbers in the parenthesis

18n+9

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