Answer:
x is equal to 2.5 and -4.5
Step-by-step explanation:
-4(x + 1)² - 3 = -51
-4(x² + 2x + 1) - 3 = -51
-4x² - 8x -3 - 3 = -51
-4x² - 8x - 6 = -51
-4x² - 8x = -45
-4(x^2 + 2x) = -45
-4(x^2 + 2x + 1) = -49
-4(x + 1)² = -49
(x + 1)² = 49/4
x + 1 = ± √(49/4)
x + 1 = ± 7/2
x = -1 ± 3.5
x = 2.5, -4.5
Reason:
2. SD ⊥ HT. ∴ ∠SDH = ∠SDT =90°
3. Given (It is given in the question)
5. RHS congruence
(Here, the right angle, hypotenuse and one side of ΔSHD is congruent to that of ΔSTD).
Statement:
4. Line segment SD = SD
(Reflexive property is used to prove congruence of triangles. This property is used when an angle or line segment is congruent to itself.)
0.833333333% is the answer
Answer:
The correct answer is OB.
Step-by-step explanation:
Let us recall the Associative Property of Addition: given three real numbers
,
and
the following equality holds:
.
Let us remark that the Associative Property of Addition tells us that we can perform the sums in any order. So,
.
In the other options there was used the Commutative Property of Addition.
Answer:
12.66 
Step-by-step explanation:
Given the dimensions of the room are
=
and
=
.
The area of the room =
Area=
Area=72.33 
The area of the carpet=85 
The area of carpet left= Total area of carpet - the area of the room
The area of carpet left= 85-72.33=12.66 