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4 years ago

Find m+n.

Mathematics

1 answer:

Alik [6]4 years ago

6 0

Easy Peasy Lemon Squeezy.

it's difficult because you are looking too hard. think simply. why does it tell you that angle is 40°?

Because if you follow the arrow back to where it starts you will see that exact same angle.

so now you know 1 (not m° or n°) angle inside the triangle is 40° and a complete triangle is 180°.

you also know a straight line has 180° on each side. and the line going from m° to n° splits that in half. meaning there is 90° to the right of it and 90° to the left of it. which means n° must equal 90°.

now you know you have 1 angle inside the triangle with 40° and n°=90° now you just need to find how much m° is.

add 40°+90° then Subtract from 180° to get m°.

180°-130°=50°
m°=50°

You might be interested in

The little town arts center charges $23 for adults, $13 for senior citizens, and $6 for children under 12 for their live perform

Sindrei [870]

Answer:

261 adults, 271 senior citizens, 302 children

Step-by-step explanation:

Let's define our variables

x: adults

y: senior citizens

z: children

From this "834 tickets sold" we have that

x+y+z=834 (1)

From this "There were 41 more children that adults" we have that

x+41=z (2)

From This "the paid revenue was $11,338" we have that

23x+13y+6z=11338 (3)

If we plug (2) in (1) and (3) we get:

x+y+x+41=834

2x+y=793

y=793-2x (4)

23x+13y+6(41+x)=11338

23x+13y+6x=11338-246

29x+13y=11092 (5)

plugging (4) in (5)

29x+13(793-2x)=11092

29x+10309-26x=11092

3x=783

x=261 adults (6)

(6) in (4)

y=793-2(261)=271 senior citizens

(6) in (2)

261+41=z

z=302 children

5 0

3 years ago

Ignore the rotation 90 clockwise

IRISSAK [1]

Answer:

A reflection about y=x

Step-by-step explanation:

The 4 transformations are

Translation
Rotation
Reflection
Dilation

Let eliminate which ones won't work.

A translation wouldn't flip the triangle in a different direction after translating it so we won't translate it.

A dilation changes the length for the triangle but the triangles are congruent so we won't dilate it.

A rotation about the orgin wouldn't work nor a specific point so a rotation isnt going to work.

A reflection will work so what will we reflect about.

Some corresponding coordinates are
5,6 and 7,6
1,6 and 7,2
3,8 and 9,4.

A reflection makes a reflected point equidistant from the line of reflection and their original point is equidistant from line of reflection.