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Daniel [21]
2 years ago
15

Find the value of each variable and show which property is used.

Mathematics
1 answer:
mojhsa [17]2 years ago
6 0
7y-2=5y+4
+2 +2
__________
7y= 5y + 6
-5y -5y
__________
2y= 6

Y=3

3x+2=23
3x =21
x= 7

7(3) -2= 5(3)+4
19=19
x=19

3(7)+2=23
23= 23
Y=23

Adding and subtracting property


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Triangle ABC is transformed to form triangle XYZ. If AC = BC and the perimeter of triangle ABC is 37 inches. What are the length
laiz [17]

Answer: xy=11 in.; yz= 13 in.; xz=13in.

Step-by-step explanation:

i’m pretty sure that’s it

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3x= - 12 what is the answer
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the correct answer is -4

3 0
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Read 2 more answers
Find the value of x in each case. Give reasons to justify your solutions!
levacccp [35]

Answer:

x=13 degrees

Step-by-step explanation:

First, think of the remote interior angle theorem. So basically the remote interior angles that don't share a vertex with the exterior angle is the sum of the exterior angle. So that means ∠EBC+∠BEC=∠ECD. ∠ECD=64 degrees+90 degrees=154 degrees. ∠EBC is equal to 180 degrees minus 3x because line AD is a line so ∠ABE and ∠EBC are supplementary angles so basically they add up to 180 degrees. So the equation is (180-3x)+x=154. Simplify the equation and you should get x=13 degrees:)

7 0
2 years ago
Divide (x3 - 2x² + 6x - 8) by (x - 2)<br> -<br> How can I (x3 - 2x² + 6x - 8) by (x - 2)
Blababa [14]

Answer:

  x^2 +6 +(4/(x -2))

Step-by-step explanation:

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4 0
2 years ago
A set of bookshelves rests on a hard floor surface on four legs, each having a cross-sectional dimension of 3.0×4.1cm in contact
tatiyna

Answer:

5.22\cdot 10^5 Pa

Step-by-step explanation:

The pressure exerted by an object is given by:

p=\frac{F}{A}

where

F is the magnitude of the force

A is the area of the surface perpendicular to the force

In this problem, the force is the weight of the books + the shelf, which is given by

F=mg

where

m = 262 kg is the total mass

g=9.8 m/s^2 is the acceleration of gravity

Substituting,

F=(262)(9.8)=2568 N

The area of the four legs is:

A=4(3.0 cm\cdot 4.1 cm)=4(12.3 cm^2)=49.2 cm^2 = 49.2\cdot 10^{-4} m^2

Therefore, the pressure exerted on them is:

p=\frac{F}{A}=\frac{2568}{49.2\cdot 10^{-4}}=5.22\cdot 10^5 Pa

7 0
3 years ago
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