MATHEMATICS HIGH SCHOOL

22 . The figure is reflected across line m and then reflected across line n. What is the resulting transformation?A) glide reflection
B) rotation
C) reflection
D) translation

24 . The waiter places a bowl of soup in front of Abbey. In a counterclockwise direction, she passes the soup to Kai who then passes it to Haifa. Which two rotations about the center of the table describe passing the soup?
A) first 72° and then 108°
B ) first 40° and then 60°
C) first 80° and then 120°
D) first 60° and then 90°

25. The waiter places a bowl of soup in front of Lacy. In a counterclockwise direction, she passes the soup 90°. The person receiving the soup passes it 30°. After the two passes, the soup is in front of which person?
A) Garret
B) Darcy
C) Igor
D) Haifa

28. What are the coordinates of the vertices of the triangle under the translation (x, y) ---> (x - 1, y - 3)
A)(0, -8), (-1, -1), (-5, -4)
B) (-8, 0), (-1, -1), (-4, -5)
C) (5, -4), (0, 0), (5, 4)
D) (-4, 5), (0, 0), (4, 5)

29.What is the reflection image of P(0, 0) after two reflections, first across x = -3 and then across y = 4?
A) (-8, -6)
b) (4, -3)
C) (4, -6)
D) (-6, 8)

Answers

Answer 1

Answer:

Answer:

22) (B)

24) (D)

25) (D)

28) (B)

29) (D)

Step-by-step explanation:

22) Firstly, the figure is reflected across line m and then the figure is reflected across line n.

The resultant figure is a rotated figure of original figure

(B) Rotation

24) Since there are 12 people sitting in a circle

Total circular angle = 360°

Angle between two people = 360/12 = 30°

Therefore, from Abbey to Kai there are 2 people between them. Hence, angle covered = 60°

From Kai to Haifa there are 3 people.

Angle covered = 90°

(D) is correct

25) Lacy passes the soup in 90° counterclockwise and then 30°.

Now soup is in front of Haifa.

(D) is correct

28)

Coordinates are ((0,2) -----> (x-1,y-3) = (-1,-1)

(-7,3) -------------> (x-1,y-3) = (-8,0)

(03,-2) --------> (-4,-5)

(B) is correct

Reflection of P(0,0) across x= -3, gives the point( -6,0)

And reflection across y=4, gives the point (0,8)

Together the reflected point is P(-6,8).

(D) is correct

Answer 2

Answer: $22.\nAnswer:B\n\n\n24.\n\alpha=360^o:12=30^o\n\nAbbey-Kai\to2\cdot30^o=60^o\n\nKai-Haifa\to3\cdot30^o=90^o\n\nAnswer:D$

$25.\n\alpha=360^o:12=30^o\n\nLacy+90^o\to(90^o:30^o=3)\to Igor\n\nIgor+30^o\to(30^o:30^o=1)\to Haifa\n\nAnswer:D$

$28.\n(x;\ y)\to(x-1;\ y-3)\n\n\vec{a}=[-1;-3]\n\nA(-3;-2)\to A'(-3-1;-2-3)\to A'(-4;-5)\n\nB(0;\ 2)\to B'(0-1;\ 2-3)\to B'(-1;-1)\n\nC(-7;\ 3)\to C'(-7-1;\ 3-3)\to C'(-8;\ 0)\n\nAnswer:B$

$29.\nP(0;\ 0)\n\n\Downarrow S_(x=-3)\n\nP'(-6;\ 0)\n\n\Downarrow S_(y=4)\n\nP''(-6;\ 8)\n\nAnswer:D$

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Elvia is job shadowing for an internship. She is required to complete at least 48 hours of shadowing in her chosen career. Elvia can shadow for 2 hours on weekdays and 6 hours on weekends. Which graph represents the number of weekdays and weekends that Elvia can shadow to meet her requirements? A.) Picture 1
B.) Picture 2
C.) Picture 3
D.) Picture 4

Answers

The graph that represents the number of weekdays and weekends that Elvia can shadow to meet her requirements is A. Picture 1

How to graph the requirements ?

To graph this inequality, we would typically draw the line representing the equation 2x + 6y = 48 and then shade the region that satisfies the inequality $2x + 6y \geq 48$ .

Since Elvia is required to complete "at least" 48 hours, the line on the graph will be solid, not dotted, to indicate that the hours represented by the line are included in the solutions that meet the requirements.

The point the graph would cross the x - axis is:

2 x + 6 ( 0 ) ≥ 48

x = 48 / 2

x = 24

The point the graph would cross the y - axis is:

2 ( 0 ) + 6 y ≥ 48

y = 48 / 6

y = 8

The correct graph is therefore Picture 1 which has the line as solid and the intercepts as x = 24 and y = 8 .

Find out more on graphs at brainly.com/question/33161009

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The Answer is A.)

A picture of my answer

What is 24% of 36
please tell me

Answers

Answer:

8.64

Step-by-step explanation:

Hope this helps <3

Answer: 8.64

Explanation: 0.24 x 36 = 8.64
Therefore 24% of 36 is 8.64
Hope this helps :)

Jen bought some bagels the ratio of the numbers of sesame beagles to the number of plain bagels the she bought is 1:3 find the decimal equivalent of the prrcent of the bagels that are plain

Answers

If the number of sesame to plain bagels is 1:3, that means that for every 3 plain bagels, there is 1 sesame bagel. So if there were 4 bagels total, with 3 being plain and 1 being sesame, then the fraction of the total amount of bagels represented by the amount of plain bagels there are would be 3/4.
3/4 written as a decimal would be 0.75, or 75%.
Hope that helped =)

Point (1,-5) 6. The slope is 5 , and the line passes through the (-1,-3).

Answers

Step-by-step explanation:

You have given a point (1, -5), a slope of 5, and the line passes through the point (-1, -3). You can use this information to find the equation of the line.

The equation of a line in point-slope form is:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line, and m is the slope.

Using the given point (1, -5) and the slope m = 5, you can plug these values into the equation:

y - (-5) = 5(x - 1)

Now, simplify:

y + 5 = 5(x - 1)

To put it in slope-intercept form (y = mx + b), expand and solve for y:

y + 5 = 5x - 5

Subtract 5 from both sides:

y = 5x - 5 - 5

y = 5x - 10

So, the equation of the line with a slope of 5 that passes through the point (1, -5) is:

y = 5x - 10

What value of d makes the equation true? d – 34.8 = 5.3

Answers

$d -34.8 =5.3\nd - 34.8 + 34.8 = 5.3 + 34.8 \n d = 5.3 + 34.8\n\n\boxed {d=40.1}$

Find the value of 83 - [59 - (22 - 18)]. 16 28 64
anyone??

Answers

so, we need to solve this. 83-[59-(22-18)]
so, we need to use PEMDAS. Using that method, we should find the correct answer. So, 83-[59-(22-18)] would be simplified to 83-[59-(4)]. Then, we do what's left in the parentheses. Now it would be 83-55. So, once you subtract 83 by 55, your answer would be 28.
The answer is B. 28.

We can first start out by simplifying 83 - [59 - (22 - 18)].

22 - 18 = 4, and now we're left with 83 - 59 + 4.

Subtract 83 - 59 to get 24, and then add 4 to get 28.

So, the answer to your problem is 28.