The <em><u>correct answers</u></em> are:
#1) Angle G is smaller than angle P; #2) The three sides have the same length; #3) The path along XY is longer than the path along ZY, and the path along ZY is longer than the path along AB.
Explanation:
#1) Since the measure of HK is smaller than the measure of MN, this means the angle opposite HK will be smaller than the angle opposite MN. This means ∠G is smaller than ∠P.
#2) Since all of the angles are congruent, all of the sides will be congruent as well.
#3) The side opposite the largest angle will be longest; the side opposite the smallest angle will be shortest. This means the side opposite the 36° angle, AB, will be smallest, and the side opposite the 79° angle, XY, will be largest. ZY will have a length between these two.
Answer:
If 2/3 ton of gravel covers 3/4 of a driveway, you need to divide 2/3 divided by 3 to find how much is needed for 1/4 of the driveway. So first step:
1. 2/3 divided by 3 = 2/3 * 1/3. So 2/9.
2. Add 2/3 plus 2/9= 8/9 ton of gravel to cover the whole driveway.
Step-by-step explanation:
Mark me brainliest!
The $1.25 one for 9 Oz box of rice would be the best buy.
<h3>How to find the Unit Price?</h3>
To get the best buy among the given items and prices, we need to find the unit price. Thus, the formula is;
Unit price = Price/Quantity
A) Unit Price = 0.90/6 = 0.15
B) Unit Price = 1.93/12 = 0.15083
C) Unit price = 2.42/16
Unit Price = 0.15125
D) Unit Price = 1.25/9 = 0.138
The $1.25 one for 9 Oz box of rice would be the best buy.
Read more about Unit price at; brainly.com/question/2804909
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Answer:
The answer is D) 60
Step-by-step explanation:
Answers:
- Total equation: x+y = 80
- Legs equation: 2x+4y = 248
- How many ducks? 36
- How many cows? 44
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Further explanation:
- x = number of ducks
- y = number of cows
x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.
That equation can be solved to y = 80-x after subtracting x from both sides.
The legs equation is 2x+4y = 248 because...
- 2x = number of legs from all the ducks only
- 4y = number of legs from all the cows only
- 2x+4y = total number of legs from both types of animals combined
We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248
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Let's plug y = 80-x into the second equation and solve for x.
2x+4y = 248
2x+4( y ) = 248
2x+4( 80-x ) = 248
2x+320-4x = 248
-2x+320 = 248
-2x = 248-320
-2x = -72
x = -72/(-2)
x = 36
There are 36 ducks
Now use this x value to find y
y = 80-x
y = 80-36
y = 44
There are 44 cows.
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Check:
36 ducks + 44 cows = 80 animals total
36*2 + 44*4 = 72 + 176 = 248 legs total
The answers are confirmed.
