Hey There!!
Your best answer will be A.
Step-by-step explanation:
Because, The SAS stands for Side Angle Side if you need two sides and then the angle needs to be between them.
The first one works because the angle is in-between the 2 sides. The second one really doesn't work very well. Because, It actually have 2 angles and it only need one. Well, The third one it doesn't work because the angle isn't between from both sides. The fourth one doesn't work at all they are only sides and no angles. Hope This helps <3!!
We are given : -3(4-6x) < x+5.
Solution: -3 is in front of Parenthesis.
We need to multiply -3 by (4-6x).
So, we need to applying distributive property.
On distributing, we get
-12+18x < x+5 (By distributive property)
The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get
-12+18x-x < x-x+5 (By subtraction property of equality).
-12+17x < 5
Now, we need to get rid -12 from left side.
So, we need to apply addition property of equality, we need to add 12 on both sides, we get
-12+12+18x < x+5+12 (By addition property of equality)
17x < 17
We need to get rid 17 from left side. So we need to apply division property of equality.
On dividing both sides by 17, we get
17x/17 < 17/17 (By division property of equality)
x < 1.
Answer:
D
Step-by-step explanation:
The surface area of the rectangular prism is the sum of all the 6 faces.
- There are 2 faces with length 3 ft and width 3.4 feet. Hence,
Area = 2 (3*3.4) = 20.4
- There are 2 faces with length 3 ft and width 4.1 ft. Hence,
Area = 2 (3*4.1) = 24.6
- There are 2 faces with length 3.4 ft and width 4.1 ft. Hence,
Area = 2 (3.4*4.1) = 27.88
Thus, Surface Area = 20.4 + 24.6 + 27.88 = 72.88 ft ^2
Answer:
Taco: $1.25
Burrito: $2.75
Step-by-step explanation:
Let x = tacos
y = burritos
Since the first family bought 2 burritos, we multiply y by 2; we multiply x by 3 since they bought 3 tacos.
3x + 2y = 9.25
We do basically the same thing for the other family
7x + 4y = 19.75
We'll use elimination method to solve this
7x + 4y = 19.75
3x + 2y = 9.25
Multiply the bottom equation by -2
7x + 4y = 19.75
(3x + 2y = 9.25)-2
7x + 4y = 19.75
-6x - 4y = -18.5
Now subtract the equations and we get this
x = 1.25
A taco costs $1.25
Plug the new x into one of the original equations
3(1.25) + 2y = 9.25
3.75 + 2y = 9.25
- 3.75 - 3.75
2y = 5.5
2y/2 = 5.5/2
y = 2.75
A burrito costs $2.75
Answer:
The interquartile range is 5.
Step-by-step explanation:
Ah, a throwback to interquartile range... let me help :)
4,5,6,8,9,10,11,12
First, you need to know how to use the IQR. The interquartile range is basically known as the process of subtracting the upper quartile and the lower quartile of a set of data. The lower quartile should be written as Q1, and the upper quartile would be labeled as Q3. This would make the midpoint (median) data set Q2, and the highest possible point would be labeled Q4. Next, you have to always understand what you are looking at. For example, let's split the set 5,6,7,8,9,10,11,12 into groups. 5 and 6 would be Q1, 7 and 8 would be Q2, 9 and 10 would be Q3, and last but not least, 11 and 12 would be labeled as Q4. Now take Q1 and subtract it from Q3 and that is how you get your IQR.