Complete the proof. given: ab = 7x + 1, bc = 4x, ac = 111 prove: x = 10 statement reason 1. ab = 7x + 1, bc = 4x, ac = 111 1. given 2. ac = ab + bc 2. 3. 111 = 7x + 1 + 4x 3. 4. 111 = 11x + 1 4. combine like terms 5. 110 = 11x 5. subtraction property of equality 6. 10 = x 6. division property of equality 7. x = 10 7. #2,3,7 need a reason

2. Segment addition postulate

3. Substitution property of equality (AC=111; AB=7x+1; and BC=4x)

7. Symmetric Property of Equality

Step-by-step explanation:

fourth month

step-by-step explanation:

it is the one with the most keychains.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.