In an upcoming mayoral race, the Democratic candidate hires a statistician to determine the amount of support she has for the upcom-
ing election. The statistician tests the null hypothesis that the propor-
tion of voters favoring the candidate equals 50% against the alternative
hypothesis that the proportion is greater than 50%. The result for a simple
random sample of 125 registered voters is displayed in the printout below.

the answer is c.

by: nicholas dooley

if triangle abc is congruent to triangle def, their interior angles are congruent, because congruent parts of congruent triangles are congruent (cpctc).

that means ∠d is congruent to ∠a; ∠d is equal to 8x - 2.

interior angles of all triangles add to equal 180 degrees, so you can set the sum of these interior angle values equal to 180 and solve for x.

180 = (8x - 2) + 22 + 72

180 = 8x - 2 + 22 + 72

180 = 8x + 92

88 = 8x

11 = x

x = 11

answer:

2

explanation:

1+1 = 2

the reason this is so is because of basic addition. we can double check this without using addition if you really want. if you take 1+1=x, subtract 1 from both sides than you get 1 = x - 1. subtract x from both sides and you get 1 - x = -1. subtract 1 from both sides again and you get -x = -2. finally, multiply both sides by -1 to get x = 2. subtraction is still technically addition you say? fine, have it your way. 1 + 1 = x. by definition, adding something to itself is the same thing as multiplying it by 2. this means we can technically rewrite the equation as

1 * 2 = x. now all we have to do is solve it. 1 * 2 = x when simplified results in 2 = x, or x = 2. this shows 1 + 1 = x. you say you want a real answer. you want me to start you from the ground up? well i would, but that would practically just be stealing from what was written on this website: go check it out if you really need to.