Answer:
1
Step-by-step explanation:
Answer:
Answer C is correct
<em>Step-by-step explanation:</em>
<em>1. We replace x as (a + 2)</em>
<em>2. Then we just rewrite this function with the new value</em>
<em>3. Result: 3(a+2) + 5/(a+2)</em>
Answer: 0.040
Step-by-step explanation:
Answer:
1008 possible dinner orders
Step-by-step explanation:
There are 3 possible salads, 4 possible entrees, and 9 possible sides.
Each dinner has 1 salad, 1 entree, and 3 sides.
Using combinations,
C(3,1) * C(4,1) * C(9,3) = 3 * 4 * 84 = 1008
Given :
- CD is the altitude to AB.
A = 65°.
To find :
- the angles in △CBD and △CAD if m∠A = 65°
Solution :
In Right angle △ABC,
we have,
=> ACB = 90°
=>
CAB = 65°.
So,
=>
ACB +
CAB+
ZCBA = 180° (By angle sum Property.)
=> 90° + 65° +
CBA = 180°
=> 155° +
CBA = 180°
=>
CBA = 180° - 155°
=>
CBA = 25°.
In △CDB,
=> CD is the altitude to AB.
So,
=>
CDB = 90°
=>
CBD =
CBA = 25°.
So,
=>
CBD +
DCB = 180° (Angle sum Property.)
=> 90° +25° +
DCB = 180°
=> 115° +
DCB = 180°
=>
DCB = 180° - 115°
=>
DCB = 65°.
Now, in △ADC,
=> CD is the altitude to AB.
So,
=>
ADC = 90°
=>
CAD =
CAB = 65°.
So,
=>
ADC +
CAD +
DCA = 180° (Angle sum Property.)
=> 90° + 65° +
DCA = 180°
=> 155° +
DCA = 180°
=>
DCA = 180° - 155°
=>
DCA = 25°
Hence, we get,
DCA = 25°
DCB = 65°
CDB = 90°
ACD = 25°
ADC = 90°.