Answer:
d ≤ - 7
Step-by-step explanation:
Given
- 38d - 57 ≥ - 19d + 76 ( add 19d to both sides )
- 19d - 57 ≥ 76 ( add 57 to both sides )
- 19d ≥ 133
Divide both sides by - 19, reversing the symbol as a result of dividing by a negative quantity.
d ≤ - 7
Answer:
a) The length of segment AC is approximately 5.83 centimeters.
b) The angle ACD is approximately 34.5º.
Step-by-step explanation:
a) Since
, the length of segment
is determined by Pythagorean Theorem, that is:


The length of segment AC is approximately 5.831 centimeters.
b) Since
, the length of segment
is determined by this Pythagorean identity:


The angle ACD is determined by the following trigonometric expression:





The angle ACD is approximately 34.448º.
Answer:
13✓7
Step-by-step explanation:
5✓28 + ✓63
Break the radical into perfect squares.
5 times ✓4 times ✓7 + ✓9 times ✓7
5 times 2 times ✓7 + 3 ✓7
10✓7 + 3✓7
13✓7
2x - 6 = 20
2x = 20 + 6
2x = 26
x = 26/2
x = 13 <==