MATHEMATICS HIGH SCHOOL

The figure shows Polygon ABCD and some of its transformed images on a coordinate grid:
Which of the four polygons was formed by a translation of Polygon ABCD?
A 1
B 2
C3
D4

Answers

Answer 1

Answer:

hey i got it right ur answer is 3 tell me if im right

Answer 2

Answer:

Answer:

you are right

Step-by-step explanation:

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There are 2/8 cup of peanuts and 1/4 of Walnuts.Is there a greater amount of peanuts or walnuts? Explain

Answers

You will get 2/8 for your answer but if u simplify it will be 1/4

Answer: If you simplify 2/8 you get 1/4. Meaning there is the same amount of walnuts and peanuts

The table below shows the number of students who attend various after-school activitiesAfter school Activities
Activity
Number of students
Spanish Club
Basketball
24
Drama Club
16
Homework Help
20
Which does the ratio 17 44 represent?

Answers

Answer:

The answer is B

Step-by-step explanation:

Final answer:

The ratio 17:44 represents the number of students attending the Spanish Club to the number of students attending Basketball.

Explanation:

The ratio 17:44 represents the number of students attending the Spanish Club to the number of students attending Basketball. To determine the ratio, divide the number of students attending the Spanish Club (24) by the number of students attending Basketball. So, the ratio is 24/16 = 17/44.

Learn more about Ratios here:

brainly.com/question/32531170

#SPJ2

What is the solution to the system of equations? y=2/3x+3 x=-2

Answers

Answer:

$x=-2,y=(5)/(3)$

Step-by-step explanation:

The given system of equations is

$y=(2)/(3)x+3...(i)\n\nx=-2...(ii)$

Plugging the value of x from (ii) in equation (i) and find the value of y

$y=(2)/(3)*(-2)+3\n\ny=(-4)/(3)+3\n\ny=(5)/(3)$

Therefore, the solution of the system of equations is

$x=-2,y=(5)/(3)$

We are going to solve for x=-2, y=2/3x+3, y=2/3(-2)+3, y=5/3. Therefore, x=-2 and y=5/3

in one baseball season, peter hit twice the difference of the number of home runs alice hit and 6. altogether, they hit 18 home runs. hohw many home runs did each player hit that season?

Answers

Let Peter's hit be x and Alice's runs be y.
x = 2(y - 6) . . . (1)
x + y = 18 . . . (2)

Putting (1) into (2) gives,
2y - 12 + y = 18
3y = 18 + 12 = 30
y = 30/3 = 10
x = 2(10 - 6) = 2(4) = 8

Therefore, Peter hit 8 home runs and Alice hit 10 home runs.

The following data shows the annual rainfall amounts for Albuquerque over the past ten years. Which of these values should be considered outliers? Precipitation (inches): 9.4, 9.1, 9.8, 10.9, 9.2, 10.7, 9.1, 8.1, 9.1, 9.4

A. 8.1
B. 10.9
C. 8.1 and 10.9
D. None of the above

Answers

Precipitation (inches): 9.4, 9.1, 9.8, 10.9, 9.2, 10.7, 9.1, 8.1, 9.1, 9.4

Arrange in ascending order:
8.1, 9.1, 9.1, 9.1, 9.2, 9.4, 9.4, 9.8, 10.7, 10.9

The outlier is 10.9

Mean = 9.48
Median = 9.3
Q1 = 9.1
Q3 = 9.8
IQR = 0.7
Lower fence: 8.05
Upper fence: 10.85

I am a little confused: One method you can use to determine whether a triangle is a right triangle, given three side lengths, is to apply the converse of the Pythagorean Theorem. Alternately, you can use trigonometric ratios. Show that the triangle in the diagram is a right triangle by using trigonometric ratios. ( Be sure to show all work/and or reasoning.

Answers

Answer with explanation:

The triangle in the Diagram Described has following measurement:

Longest Side = 65 units

One side which can be either Perpendicular or base = 63 units

And , other side which can be also, either Perpendicular or base = 16 units

We can prove that the triangle described is right triangle by two ways.

1. Using Converse of Pythagorean Theorem

Square of Longest side = Sum of Squares of other two sides-----(1)

So, Square of Longest Side = 65²=4225

Sum of Square of other two sides = 16² + 63²

= 256 + 3969

= 4225

Statement (1), is valid.

So,Triangle is right angled triangle, right angled at A.

2. using Trigonometric Ratios

Suppose the triangle is right Angled at A.

In Right triangle B AC

$tan B=\frac{\text{Perpendicular}}{\text{Base}}\n\ntan B=(16)/(63)\n\ntan C=(63)/(16)\n\n tan(B +C)=(tan B + tan C)/(1-tan B * tanC)\n\ntan (B +C)=((16)/(63)+(63)/(16))/(1-(16)/(63)* (63)/(16))\n\ntan (B +C)=\frac{\text{Any rational number}}{0}\n\ntan (B +C)=\infty\n\nB +C=90^(\circ)\n\n \text{Using the trigonometric Identity},tan(A+B)=(tan A +tan B)/(1-tan A*tan B)$

B +C =90°

Also,→ ∠A + ∠B + ∠C=180°≡ (Angle sum property of triangle)

→∠A +90°=180°

→∠A=180° -90°

→∠A=90°

So, triangle is right Angled triangle , Right angled at A.

Hence ,proved.

Trigonometric ratios are sine, cosine, and tangent (opposite side over hypotenuse, adjacent side over hypotenuse, and opposite side over adjacent side, respectively); if you wanted to prove that one of the angles of the triangle is 90º, then the cosine of that angle would be 0, the sine would be 1, and the tangent would be undefined.

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Shivani is making greeting cards, which she will sell by the box at an arts fair. She paid $20 for a booth at the fair, and the materials for each box of cards cost $5. She will sell the cards for $7 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How many cards will that take?