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Angelina_Jolie [31]
3 years ago
11

Reflect triangle A in the line y=x

Mathematics
1 answer:
alex41 [277]3 years ago
5 0

Answer:

(5,6), (3, 6) and (3, 5).

Step-by-step explanation:

If we imagine the line y = x to be a mirror , the image of each point is the same perpendicular distance to the mirror has the original point.

So the image of (6,5) = (5,6)

(6, 3) ---> ( 3, 6)

(5,3) ---> (3, 5).

Note that the coordinates are reversed in each case.

In this case the general rule for the reflection is  (x, y)  ---> (y, x).

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Lorenz total payment for his loan was $13,536.
Vera_Pavlovna [14]

Answer: $376

Step-by-step explanation:

Divide 13,536 by 36

13,536/36 = 376

6 0
3 years ago
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Solve -24 + (1-4)^2​
ElenaW [278]

Answer:

-15

Step-by-step explanation:

-24 + (1-4)^2​    (solve parentheses first)

= -24 + (-3)^2 (solve exponent)

= -24 + 9

= -15

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3 years ago
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The library is located 1.8 miles west of Callie’s house. The grocery store is located 2.4 miles south of the library. What is th
Verizon [17]

____________________________________________________

Answer:

Your answer would be 3 miles.

____________________________________________________

Explanation and work:

To find the answer for this question, we would use the numbers we know that was provided in the question and use it to get us the answer.

The equation we would use in this type of question is the Pythagorean Theorem.

Pythagorean Theorem:

a² + b² = c²

When you draw out the different locations, it would end up looking like a triangle since you trying to find the diagonal line from the grocery store to the house. In the triangle, it would be the hypotenuse. I will put a picture below.

Lets start solving:

1.8 would be plugged into "a"

2.4 will be plugged into "b"

(1.8)² + (2.4)² = c²

 ↓          ↓        ↓

3.24  + 5.76 =  c²

          ↓

          9  = c²

              ↓

      √9 = √c²

             ↓

         3  = c

3 miles would be your FINAL answer.

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4 0
3 years ago
How to write 309,017 in word form
dalvyx [7]
Three hundred and nine thousand and seventeen
3 0
3 years ago
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A helicopter is flying above a town. the local high school is directly to the east of the helicopter at a 20° angle of depressio
guapka [62]
Answer: 4.5 miles

Explanation:

When you draw the situation you find two triangles.

1) Triangle to the east of the helicopter

a) elevation angle from the high school to the helicopter = depression angle from the helicopter to the high school = 20°

b) hypotensue = distance between the high school and the helicopter

c) opposite-leg to angle 20° = heigth of the helicopter

d) adyacent leg to the angle 20° = horizontal distance between the high school and the helicopter = x

2) triangle to the west of the helicopter

a) elevation angle from elementary school to the helicopter = depression angle from helicopter to the elementary school = 62°

b)  distance between the helicopter and the elementary school = hypotenuse

c) opposite-leg to angle 62° = height of the helicopter

d) adyacent-leg to angle 62° = horizontal distance between the elementary school and the helicopter = 5 - x

3) tangent ratios

a) triangle with the helicpoter and the high school

tan 20° = Height / x ⇒ height = x tan 20°

b) triangle with the helicopter and the elementary school

tan 62° = Height / (5 - x) ⇒ height = (5 - x) tan 62°

c) equal the height from both triangles:

x tan 20° = (5 - x) tan 62°

x tan 20° = 5 tan 62° - x tan 62°

x tan 20° + x tan 62° = 5 tan 62°

x  (tan 20° + tan 62°) = 5 tan 62°

⇒ x = 5 tant 62° / ( tan 20° + tan 62°)

⇒ x = 4,19 miles

=> height = x tan 20° = 4,19 tan 20° = 1,525 miles

4) Calculate the hypotenuse of this triangle:

hipotenuese ² = x² + height ² = (4.19)² + (1.525)² = 19.88 miles²

hipotenuse = 4.46 miles

Rounded to the nearest tenth = 4.5 miles

That is the distance between the helicopter and the high school.
5 0
3 years ago
Read 2 more answers
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