How do I solve these problems?

A = true

B = false

C = true

D = true

Step-by-step explanation:

Given ABCD is rectangle

1. In Rectangle opposite sides are equal.

AB is opposite to DC

thus, AB = CD

2.In rectangle adjacent sides are not equal

AD is adjacent to DC hence

AD != DC

Diagonals bisects the corner angle angle into two equal part

each angle of rectangle is 90.

Thus,

in Triangle ABE

AC bisects angle EAB

angle EAB = 90/2 = 45

DB bisects angle EBA

angle EBA = 90/2 = 45\

Length of diagonals are equal in rectangle

Also diagonals bisects each other equally

As AC and DB are diagonal

Thus, AC = DB (4)

They bisect each other at E

Thus

AE = EC(As diagonals bisects each other equally

DE = EB (diagonals bisects each other equally)

Then AE = EB

As condition for isosceles traingle is two of angles should be equal and two sides should be equal

Then , triangle ABE is isosceles based on above discussion.

Thus, Answer is

A = true

B = false

C = true

D = true

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

1. 34

2. 268

3. x=14.4

step-by-step explanation: