Drag an answer to each box to complete this paragraph proof. given: ∠abc and ∠cbd are complementary angles and m∠abc=25° prove: m∠cbd=65° it is given that ∠abc and ∠cbd are . so, m∠abc+m∠cbd=90° using the . it is also given that m∠abc=25° . using the substitution property of equality, you have + m∠cbd=90° . therefore, using the subtraction property of equality, m∠cbd=65°

A. Complementary angles.

B. property of complementary angles .

C. .

Step-by-step explanation:

Given and are complementary angles.

To prove that

We know that when two angles are complementary then their sum is given by

By using the property of complementary angles.

Is is given that

By using the subsitution property of equality , we have

Therefore, by using subtraction property of equality , we have

Hence, .

Hence proved.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).