A trivia game has four categories of questions. The questions are on cards colored red, blue, green, and yellow. There are a different number of questions in each category, so the game
spinner that determines a player's category is divided into sectors proportional to the
number of cards of each color, as shown on the spinner below. If the cards in a category are
all used, then a player spinning that color loses a turn.
Blue 75°
Yellow 115°
Red 80°
Green 90°
On the first spin of the game, what is the probability that a player will be assigned a question
from the blue category? Give your answer as a decimal rounded to the nearest hundredth.

1,918

step-by-step explanation:

step-by-step explanation:

5×5×5+2(8)÷2(2)+3(3)

15+16÷4+9

31÷13

do 31÷13 and u will get ur answer

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)