1. 1 1/8= 18/16
5/16*2= 10/16
4/16*2= 8/16
9/16= 9/16
1/2= 8/16
18/16 + 10/16 + 8/16 + 9/16 + 8/16= 53/16
Simplify:
4 & 5/16sq ft
2. All you do is multiply that by 3... so 4 & 5/16 = 53/16 53/16*3 = 159/16 = 9 & 15/16 sq ft
Answer:
12x − 2
Step-by-step explanation:
7(x+4)+5(x−6)
Distribute:
=(7)(x) + (7)(4) + (5)(x) + (5)(−6)
=7x + 28 + 5x − 30
Combine Like Terms:
=7x + 28 + 5x − 30
=(7x+5x) + (28−30)
= 12x − 2
Answer: The speed of the motorboat is 70 miles per hour
Step-by-step explanation: Subtract the initial distance, 35, from the distance at any given time, then divide the remainder by the hours.
For example, at 2 hours, the distance shown on the graph is 175 miles
Subtract: 175 -35 = 140. Then divide 140/2 = 70
At 4 hours, the distance shown is 315 miles.
Subtract: 315 - 35 = 280. Then divide 280/4 = 70
70 mph is the speed.
Answer:
See below.
Step-by-step explanation:
This is how you prove it.
<B and <F are given as congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
<DEC and <DCE are given as congruent.
Using vertical angles and substitution of transitivity of congruence of angles, show that angles ACB and GEF are congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
Now you need another side to do either AAS or ASA.
Look at triangle DCE. Using the fact that angles DEC and DCE are congruent, opposite sides are congruent, so segments DC and DE are congruent. You are told segments DF and BD are congruent. Using segment addition postulate and substitution, show that segments CB and EF are congruent.
Now you have 1 pair of included sides congruent ABC and GFE.
Now using ASA, you prove triangles ABC and GFE congruent.
