Asap !
in the venn diagram, consider u = {whole numbers 1 – 100}.
let a represent numbers that are perfect squares, b represent numbers that are perfect cubes, and c represent numbers that are perfect fourths.
which number(s) satisfy a ∩ c?
a.
16, 81
b.
1, 16, 81
c.
1, 4, 9, 16, 25, 36, 49, 81, 100
d.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100

b.  1, 16, 81

Step-by-step explanation:

A is numbers that are perfect squares and C is numbers that are perfect fourths.

This means that A∩C is numbers that are both perfect squares and perfect fourths.

Out of the numbers from 1 to 100, the only ones this applies to is 1 (1² = 1 and 1⁴ = 1), 16 (4² = 16 and 2⁴ = 16) and 81 (9² = 81 and 3⁴ = 81).

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.