Step-by-step explanation:
The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.
1. $6.00 to 95 cents:
This is same as $6.00 : 95 cents = \frac{6.00}{95}956.00
Convert $6 .00 to cents to make both quantities be in the same unit.
$1 = 100 cents
$6.00 = 6*100 = 600 cents
\frac{600}{95} = 6.3295600=6.32 (to 2 d.p)
2. 3 hours to 35 minutes:
Convert 3 hours to 35 mins
1 hr = 60 mins
3 hrs = 3*60 = 180 mins
180mins : 35 mins = \frac{180}{35} = 5.14180mins:35mins=35180=5.14 (2 d.p)
3. 42 inches to 2 feet:
Convert 2 ft to inches
1 ft = 12 inches
2ft = 2*12 = 24 inches
42 in:24 in = \frac{42}{24} = 1.7542in:24in=2442=1.75
Answer:
see below
Step-by-step explanation:
Vertical angles are formed by two lines and are opposite each other
Vertical angles are equal
Answer:
13
Step-by-step explanation:
- f(x) = (x-13)(x+6)
- x^2 - 7x - 78
- x = 13, -6
Answer:
(1) D.Angle C is congruent to to Angle F. (2) C. SSS. (3) C. cannot be congruent to.
Step-by-step explanation:
1)
From the given figure it is noticed that


According to SAS postulate, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then both triangles are congruent.
The included angles of congruent sides are angle C and angle G.
So, condition "Angle C is congruent to to Angle F" will prove that the ∆ABC and ∆EFG are congruent by the SAS criterion.
2)
If 
According to SSS postulate, if all three sides in one triangle are congruent to the corresponding sides in the other.
Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore SSS criterion for congruence is violated.
3)
Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore the included angle of congruent sides are different.

Therefore angle C and angle F cannot be congruent to each other.
Answer:
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Step-by-step explanation: