Basic Geometric Shapes Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit. Total score: __ of 15 points (Score for Question 1: _ of 3 points) 1. All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as shown: a. Hint: Think about it from the cars perspective. The angle youre finding is the inside angle of the cars turn. (a) Suppose a car is traveling east on 4th Street and turns onto King Avenue heading northeast. What is the measure of the angle created by the car's turning? Explain your answer. (b) Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer. (c) Suppose a car is traveling northeast on King Avenue and turns right onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.

Answers

Answer 1

Answer:

(a)105° (b)105° (c)105°

Step-by-step explanation:

The Question Image is attached and a labeled one for explanation.

(a)If the Car is travelling east from the direction point A and heads North East on Kings Avenue in the direction of E, the angle which the car makes is Angle AFE

Angle AFE=180-75=105°

(b)If a car is traveling southwest on King Avenue and is to turn left onto 3rd Street. His probable starting point is North of 3rd street, say F. The angle created is Angle FGC.

Angle AFE =Angle FGC (Corresponding Angles)

Angle FGC =105°

(c)Suppose a car is traveling northeast on King Avenue is to turn right onto 3rd Street. His starting point will be South of 3rd Street.

Angle HGD will be the angle with which it turns.

Angle HGD= Angle CGE(Vertically Opposite Angles)

Angle HGD=105°

What is the measure of the angle created by the car's turning? Explain your answer.

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Answer the following true or false. Justify your answer.(a) If A is a subset of B, and x∈B, then x∈A.
(b) The set {(x,y) ∈ R2 | x > 0 and x < 0} is empty.
(c) If A and B are square matrices, then AB is also square.
(d) A and B are subsets of a set S, then A∩B and A∪B are also subsets of S.
(e) For a matrix A, we define A^2 = AA.

Answers

Answer:

a) False

b) True

c) True

d) True

e) True

Step-by-step explanation:

a) Consider the sets $B=\{1,2,3,4,5,6\}$ and $A=\{4,5,6\}$ . Observe that A is a subset of B and $1\in B$ but $1\notin A$

b) Any number different of 0 can be positive and negative simultaneusly. Then doesn't exist $x\in\mathbb{R}$ such that $x<0 and x>0$ . Then the set $\{(x,y) \in \mathbb{R}^2 | x > 0\; \text{and}\; x < 0}$ is empty.

c) If the multiplication AB is defined and A and B are square matrices with A of size nxn, then B is the size nxn and the matrix AB is the size nxn.

d) Let A and B subsets of a set S. Since each element of A and B are in S then each element of $A\cup B$ is in S. Also, if $x\in A\cap B$ , the $x\in A\subset S$ and $x\in B\subset S$ then $x\in S$ . This shows that $A\cap B \subset S$ .

e) By definition AA=A^2

Lupe has 14 stickers that she wants to give to 2 friends. She wants each friend to have the same number of stickers. Select the three statements that describe how Lupe should give the stickers to her friends. Each friend gets 14÷2 stickers. Each friend gets 2 of the 14 stickers. Each friend gets 142 stickers. Each friend gets 7 of the 14 stickers.

Answers

Answer:

The correct options are 1, 3 and 4.

Step-by-step explanation:

It is given that Lupe has 14 stickers that she wants to give to 2 friends.

Total number of stickers Lupe has is 14.

The number of friends is 2.

She wants each friend to have the same number of stickers. It means each friend will get half of 14.

The number stickers Lupe should give to her friends is 14 divided by 2.

$\text{Number of stickers}=14/ 2$

Write this value in fraction form.

$\text{Number of stickers}=(14)/(2)$

$\text{Number of stickers}=7$

It means the correct statements are

1. Each friend gets 14÷2 stickers.

3. Each friend gets (14)/2 stickers.

4. Each friend gets 7 of the 14 stickers.

Hence correct options are 1, 3 and 4.

Each friend gets 7 of the 14 stickers. They will get 7 because their are 2 Friends and she has 14 stickers to make sure they get an even amount you can dived 14 by 2 and you will get your answer

What is the rule for the reflection?A) r y=x (y,x) -> (-y,-x)
B) r y=-x (x,y) -> (-y,-x)
C) r y=x (x,y) -> (y,x)
D) r y=-x (x,y) -> (y,x)

Answers

the rule for the reflection is (B)

In a right triangle, the length of the hypotenuse is 12m and the measure of one of the acute angles is 36°.Find the measure of the other acute angle and the lengths of the legs.

Answers

Answer:

Two legs are 7.0534230 and 9.708203932.

The acute angle is 54 degrees.

Step-by-step explanation:

For the legs, you can use these two formulas:

12*cos(36)

12*sin(36)

(Make sure you put the 36 in degrees)

For the acute angle, 90-54=36 degrees.

Answer:

The answer to your question is:

acute angle = 54°

legs 7 m y 9.7 m

Step-by-step explanation:

Data

Hypotenuse = 12 m

acute angle = 36° = a

acute angle 2 = ? = b

lengths of legs= ?

Process

The sum of the internal angles on a triangle equals 180°

a + b + 90 = 180

36 + b + 90 = 180

b = 180 - 126

b = 54°

sin Ф = opposite leg / hypotenuse

opposite leg = hypotenuse x sin Ф

opposite leg = 12 x sin 36

opposite leg = 7 m

Pythagorean theorem

c² = a² + b²

a² = c² - b²

a² = 12² - 7²

a² = 144 - 49

a ² = 95

a = 9.7 m

What is the factored form of 27d^6 + 8g^12

Answers

Answer:

(3d^2+2g^4) x (9d^4 - 6d^2 g^4 + 4g^8)

that is the factored form hope it helps

Answer:

Answer: B

Step-by-step explanation:

The volume of a cube is 3,375 cubic inches. What is the measure of each side of the cube?

Answers

The measure of each side of the cube will be 15 inches.

What is volume?

The Volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. Volume is defined as the space occupied by an object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the cube or Cuboid

The cube has all the sides equal means that the length, width, and height of the cube will be the same. Let's suppose the length, width, and height of the cube is a.

The volume of a cube will be given by the formula:-

Volume = side³ = a³

a³ = 3375

a = ∛3375

a = ∛( 15 x 15 x 15 )

a = 15 cubic inches.

Therefore, the measure of each side of the cube will be 15 inches.

To know more about volume follow

brainly.com/question/35100

#SPJ5

Answer:

l=w=h=15