Help with this question

x = 4, y = 6

Step-by-step explanation:

∠ DEC = 112° ( vertical angle )

Since BE = CE then Δ BCE is isosceles

∠ BCE = 7x + 6 ( base angles of an isosceles Δ are congruent )

The sum of the 3 angles in a triangle = 180°, thus

112 + 7x + 6 + 7x + 6 = 180, that is

14x + 124 = 180 ( subtract 124 from both sides )

14x = 56 ( divide both sides by 14 )

x = 4

∠ DEC = 180° - 112° = 68° ( straight angle )

Since CE= DE then Δ CDE is isosceles

∠ DCE = 9y + 2 ( base angles of an isosceles Δ are congruent )

The sum of the 3 angles = 180°, thus

68 + 9y + 2 + 9y + 2 = 180, that is

18y + 72 = 180 ( subtract 72 from both sides )

18y = 108 ( divide both sides by 18 )

y = 6

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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the answer would be 1 1/72

step-by-step explanation:

you can rewrite the equation by separating the parts and then solving individually:

10-9=1

1/8 - 1/9=

find l c d and then combine:

1 1/72