Step-by-step explanation:
Well we know that ZACB=LABC because
AABC is isosceles, so base angles theorem applies.
m<ACB=70°
So mzDCE=m/DEC-35° because of base angles theorem, and because mzDCE=m/ACB-m<ECB=70°-35°
Finally, DE || CB because the alternate interior angles ECB=<DEC
Answer:
x=3
Step-by-step explanation:
8 ) 712
8 goes into 71 8 times; the product of 8 and 8 is 64.
Subtracting this 64 from 71, we get 7, to which we append 2: 8 ) 72.
8 divides evenly into 72: 9.
Thus, the desired quotient is 89.
Answer:
Step-by-step explanation:
A rhombus is the parallelogram with perpendicular diagonals. All
<u>Correct statements, reasons:</u>
- A - adjacent angles are supplementary
- B - opposite sides are parallel
- C - diagonals are perpendicular
- E - opposite sides are congruent
<u>Incorrect statements, reasons:</u>
- D - opposite angles are congruent, but not supplementary
- F - diagonals are not congruent, it would be square not rhombus
Answer:
B & D
Step-by-step explanation:
The quadratic formula can be used to solve for x for any quadratic. Recall a quadratic is any function whose highest exponent known as degree is 2. Looking at the answer selections, A has one term with exponent 3. This isn't possible in the formula. Looking at answer C, the term with exponent 2 has the same coefficient on each side of the equal sign. When it is rearranged these will cancel out no exponent of 2 will be in the equation anymore. Only B & D work after being rearranged and simplified
