Number 3. In the diagram, AB is the tangent to the circle at P and PX is the diameter.

Given that BPQ = 42°, find PQX, PXQ and XPQ.

see explanation

Step-by-step explanation:

∠ PQX = 90° ( angle in a semicircle )

∠ PXQ = 42° ( alternate angle theorem )

Angle between tangent and diameter is right, thus

∠ XPQ = 90° - 42° = 48°

50-38=12

step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!