Will choose your answer as

an 8 x 10 photo is to be bordered with a mat of uniform width x. write an equation and solve it to determine the width of the mat so that the dimensions of the finished product have a ratio of 3 to 4.

a. =0.5 inch

b. =1 inch

c. =2 inches

d. =2.5 inches

e. no solution (not possible)

e) none of the above because the measure of angle cba is 101°

answer: 0

step-by-step explanation: the positive, like 5, + its opposite, like -5 would be 0

5+(-5)=0, or 5-5=0

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.

there would be 162.15 calories in this cereal.

step-by-step explanation: