Answer:
Step-by-step explanation:
From the picture attached,
a). Triangle in the figure is ΔBCF
b). Since, 
and 
are the parallel lines and m is a transversal line,
m∠FBC = m∠BFG [Alternate interior angles]
Since, and are the parallel lines and n is a transversal line,
m∠BCF = m∠CFE [Alternate interior angles]
By triangle sum theorem in ΔBCF
m∠FBC + m∠BCF + m∠BFC = 180°
From the properties given above,
m∠BFG + m∠CFE + m∠BFC = 180°
m∠GFE = 180°
Therefore, angle GFE is the straight angle that will be useful in proving that the sum of the measures of the interior angles of the triangle is 180°.
Answer:
Step-by-step explanation:
The average speed of the Erin is 120/16 mph
Here,
Numerator = 120
Denominator = 16
mph = miles per hour
We need to find an expression expressed as a decimal.
So,
So, the final answer is .
Answer:
1st question is 1:2
2nd question is 5
Step-by-step explanation:
15 times two is 30, so if you divide both 15 and 30 by 15, you get 1:2
Divide 300 and 60 and you get 5.
Answer:
Step-by-step explanation:
Co-ordinates of F, G and H are:
F (-4, 5)
G (1, 10)
H (-9, 10)
You can find the lengths of sides by using the distance formula:
<em>length</em>(FG) = 
= 
units
Similarly,
<em>length</em>(GH) = 10 units
<em>length</em>(HF) = 
units
Hence, perimeter will be:
P = <em>length</em>(FG) + <em>length</em>(GH) + <em>length</em>(HF) = 
units
