Line BD is tangent to a circle with diameter AB. Explain why the measure of angle BCA must equal the measure of angle ABD.

This is because angles inscribed in a semicircles are 90 degrees (BCA)

The tanget of that circle is also a 90 degree angle to the diameter (ABD)

Therefore they're both 90 degrees

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40