A metallurgist needs to make 12.4Ib of an alloy containing 50% gold. He is going to melt and combine one metal that is 60% gold with another metal that is 40% gold. How much of each should be use? ​

place r′ so that qr′ is parallel to the tangent.

now we get that ∠r′py=∠pr′q, where y is on the tangent, on the opposite side of p from x.

also, because of the symmetry, ∠r′py=∠qpx.

finally, note that no matter where we place r, as long as it's on the correct arc, we have ∠prq=∠pr′q.

stringing all these equalities together, we end up with ∠prq=∠qpx.

this picture will show how its going to look like.

hope this by jack monhen

  d. △abc is congruent to △fde

step-by-step explanation:

triangle abc is reflected across the x-axis. the corresponding vertices are

the names of the triangles in the congruence statement must have corresponding vertices in the same order. that is, △abc is congruent to △fde.

73

step-by-step explanation:

7×3²+10

=7×9+10

=63+10

=73