Christina and lamar use a ruler and protractor to draw triangles with given conditions. christina is asked to construct a triangle with a 45 degree angle and a 65 degree angle. hoow many different triangles could she draw with these conditions

More than one triangle can be drawn with these conditions

Step-by-step explanation:

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

In this problem we have a triangle with a 45 degree angle and a 65 degree angle

so

The measure of the third side must be equal to

The triangle is a 45°-65°-70°

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

In this problem

I can have as many triangles whose internal angles are congruent and their sides are proportional

therefore

More than one triangle can be drawn with these conditions

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)