Answer:
|-15| > |-5|
-15 < -5
Step-by-step explanation:
|-15| ○ |-5|
Absolute value means take the positive value
15 ○ 5
15 is greater than 5
15 > 5
-15 ○ -5
negative 15 is less than -5
-15 < -5
Answer:
X
Step-by-step explanation:
Trust me or its cannot be determined
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°.
Answer:
see below
Step-by-step explanation:
a) 1/7 is the smallest, so a is in the correct t location.
b) is 1/3, which is larger than 1/4
c) is 2/10 or 1/5, which is smaller than 1/4
so on the graph, b and c are backwards. c should be to the right of 1/4, and b should be to the left.
Answer:
43rd term
Step-by-step explanation:
Arithmetic sequences are basically linear functions, so the same value is added every time. So, knowing that Asub1 is equal to one, and Asubn is equal to 169 we can take 169-1 and divide by our common difference. This is four as 5-1=4 and 9-5=4.
So, (169-1)/4=42.
This is however 42 terms after Asub1, so this would be the 43rd teen of the sequence!
