In the given parallelogram, BE and CE are angle bisectors. If m∠A = 70°, find m∠BEC.

∠BEC=90°

Step-by-step explanation:

∠A=∠BCD and ∠ABC=∠D because opposite angles in a parallelogram are equal.

∠A=∠BCD=70

All angles in a quadrilateral add to 360:

∠A+∠ABC+∠BCD+∠D=360

∠ABC+∠D=360-140=220

∠ABC=∠D=110

Since ∠ABC=∠ABE+∠EBC, and ∠ABE=∠EBC (because BE is an angle bisector), ∠EBC=55.

Since ∠BCD=∠BCE+∠ECD, and ∠BCE=∠ECD (because CE is angle bisector), ∠BCE=35.

All angles in a triangle add to 180:

∠BCE+∠EBC+∠BEC=180

35+55+∠BEC=180

∠BEC=180-90

∠BEC=90°

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: