All categories

3 years ago

Which of these triangle pairs can be mapped to each other using two reflections?

Mathematics

2 answers:

UkoKoshka [18]3 years ago

8 0

Answer: The correct option is figure (1).

Explanation:

Reason for correct option:

The figure (1) shows the reflection across the side XY followed by reflection across the side YT.

When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.

After that we reflect the triangle XYT across the side YT and we get the triangle PYT.

Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.

Reason for incorrect options:

The figure (2) shows the rotation of 180 degree along the point y.

The figure (3) shows the reflection across the side XY followed by the translation.

The figure (4) shows the reflection, followed by rotation , followed by translation.

Brrunno [24]3 years ago

6 0

Answer:its A On edg 2020

Step-by-step explanation:

You might be interested in

2<-1t<br> line under the

oksano4ka [1.4K]

Assuming we are solving for t
2<-1t
3

5 0

2 years ago

Mrs. Lin is sewing costumes for her grandchildren. She is making three lion costumes, one zebra costume, and two bear costumes.

stepladder [879]

Answer:

$12\frac{1}{8}\ yd$

Step-by-step explanation:

we know that

The total fabric that Mrs. Lin needs is equal to

$3(1\frac{2}{3})+2\frac{5}{8}+2(2\frac{1}{4})$

Convert mixed number to an improper fraction

$1\frac{2}{3}=1+\frac{2}{3}=\frac{5}{3}$

$2\frac{5}{8}=2+\frac{5}{8}=\frac{21}{8}$

$2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}$

substitute

$3(\frac{5}{3})+\frac{21}{8}+2(\frac{9}{4})$

$5+\frac{21}{8}+\frac{9}{2}$

$\frac{40+21+36}{8}=\frac{97}{8}\ yd$

Convert to mixed number

$\frac{97}{8}\ yd= \frac{96}{8}+\frac{1}{8}=12\frac{1}{8}\ yd$

4 0

3 years ago

Write a expression that shows how you can multiply 9x475 using expanded form and the distributive

kari74 [83]

Distributive Property is when you have an equation similar to this: 7(9+6c). And expanded form for 475 is 400+70+5, so the answer would be 9(400+70+5), because it has both expanded form and distributive, and it's also how you'd solve regardlessly.

4 0

2 years ago

Can someone plsss help me with the circled question tysm if u doo :((

nika2105 [10]

Answer:

4×sqrt(5) inches

Step-by-step explanation:

Pythagorean theorem states that (for right triangles) if you square each shorter side and add those together, you will get the sum of the longest side (hypotenuse) squared.

This is commonly written as:

a^2 + b^2 = c^2, where c is the hypotenuse.

((For right triangles this will always be opposite the 90° angle.))

Since you know one of the shorter sides and the hypotenuse, rewrite the equation as such:

c^2 - b^2 = a^2, where a is the unknown length

This goes to:

sqrt(c^2 - b^2) = a

sqrt((12in)^2 - (8in)^2) = a

sqrt(144sqin - 64sqin) = sqrt(80sqin) = a

This simplifies to:

sqrt(16sqin)×sqrt(5sqin) = 4in×sqrt(5sqin) = a

6 0

2 years ago

A car travels 28 miles south and then 45 miles east around a lake. A boat leaves from the same place and arrives at the same pla

alexandr402 [8]

Answer:

The car travelled 73 miles

The boat travelled 53 miles

The car arrived 17.7 minutes before the boat

Step-by-step explanation:

The total distance the car travelled from Point A to Point B = 28+45 = 73 miles

The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.

Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes

Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.

The time taken by the car is the shortest, therefore it arrives first before the boat.

(◔‿◔)

8 0

1 year ago