Answer:
12/30
Step-by-step explanation:
Hope this helps man. Have a GREAT day.
Sincerly, lipor
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:
2 4/25
Step-by-step explanation:
First, I made the decimal into 2 16/100. Then, keep simplifying the 16/100 until it is fully simplified.
Answer:
The scale that Leon used to create the scale drawing is 1:72.
Step-by-step explanation:
Given that Leon created a scale drawing of the school library in his art class, and in the scale drawing, the length of the library is 13 inches while the length of the actual library is 78 feet, to determine which scale did Leon use to create the scale drawing of the school library, the following calculation must be performed:
1 foot = 12 inches
78 feet = 12 x 78 = 936 inches
936/13 = 72
So, the scale that Leon used to create the scale drawing is 1:72.
