Answer:
Tom can cut 12 (15 inch pieces) from the two boards.
Step-by-step explanation:
We're first given foot measurements and we're asked to find the answer in inches. That means we must convert 8 feet to inches, which is a 1:12 inches conversion. 8 times 12 will give you 96, so now you will multiply that value by 2 because Tom has 2 8-foot long boards. That will give you 192 inches. Since the question is asking for 'how many 15 inch pieces he can cut from the two boards?', you will need to divide 192 inches by 15 to find the answer. This will give you 12.8 boards. Because you can't have parts of an object, the answer will be 12 whole boards.
Answer:
y = 2x
Step-by-step explanation:
We can find the slope
m = (y2-y1)/ (x2-x1)
= (4--4)/(2--2)
= (4+4)/(2+2)
= (8/4)
= 2
We can use the point slope form of the equation
y-y1 = m(x-x1)
y--4 = 2(x--2)
y+4 = 2(x+2)
Distribute the 2
y+4 = 2x+4
Subtract 4 from each side
y+4-4 = 2x+4-4
y = 2x
y+2 = 2x+4
Answer:
a. 1 =ST; 20 = RS;5 = x
b. 40 = ST; 20 = RS; 12 = x
c.17 = RT;6 = RS; 7 = x
d. 34 = RT; 15 = RS; 6 = x
Step-by-step explanation:
___
Since the exercise ONLY tells you that PointSis inbetweenRT,use the SegmentAdditionPostulate for all exercises:
d.8x - 14 = 19 + [4x - 9]
8x - 14 = 10+ 4x(Combine like-terms)
- 8x-8x
___________________
-14 = 10 - 4x
-10-10
_____________
-24 = -4x
________
-4-4
6 = x[Plug this back into the equations above to get these measures: 34 = RT; 15 =RS]
c.x+ 10 = 11 + [2x - 8]
x+10 = 3+ 2x(Combine like-terms)
-2x-2x
________________
-x + 10 = 3
- 10-10
___________
-x= -7
____
-1-1
x = 7 [Plug this back into the equations above to get these measures: 17 = RT; 6 = RS]
b.60 = [4x - 8] + [3x - 16]
60 = 7x-24(Combine like-terms)
+24+ 24
______________
84 = 7x
______
77
12 = x[Plug this back into the equations above to get these measures: 40 = ST; 20 = RS]
a.21 = [x - 4] + [2x + 10]
21 = 3x+6(Combine like-terms)
-6- 6
______________
15 = 3x
______
33
5 = x[Plug this back into the equations above to get these measures: 1 = ST; 20 = RS]
I am delighted to assist you anytime.
To solve for x and find the lengths RS, ST, and RT, we can set up an equation using the given information. Using the equation RS + ST + RT = 0 and substituting the given values, we can simplify the equation to find x. With the value of x, we can then find the lengths RS, ST, and RT. Therefore, RS = -8, ST = -13, and RT = 21.
To write an equation in terms of x, we need to set up an equation using the given information RS = 2x + 10, ST = x - 4, and RT = 21.
We can start by writing the equation RS + ST + RT = 0.
Substituting the given values, we get (2x + 10) + (x - 4) + 21 = 0. Simplifying this equation, we have 3x + 27 = 0.
Solving for x, we subtract 27 from both sides and divide by 3, to get x = -9.
With the value of x, we can now find the lengths RS, ST, and RT. RS = 2(-9) + 10 = -8, ST = (-9) - 4 = -13, and RT = 21.
Therefore, RS = -8, ST = -13, and RT = 21.
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Answer:
c
Step-by-step explanation:
Square have 4 equal sides length = a
A = 255
A = a^2
255 = a^2 |sqrt
15 = a
P = 4a
P = 4*15 = 60