Answer:
Step-by-step explanation:
Find the image attached. For two triangles to be congruent, then the sides of UVW is equal to that of TSR
From the diagram given
TR = UW
Given
TR = 50
UW = 3z+14
Equate and find z;
3z+14 = 50
3z = 50-14
3z = 36
z = 36/3
z = 12
VW = RS
Given
VW = 27
RS = 5y - 33
Equate
5y-33 = 27
5y = 27+33
5y = 60
y = 60/5
y = 12
Also TS = UV
TS = 53
UV = 12x+7
Equate:
12x-7 = 53
12x = 53+7
12x = 60
x = 60/12
x = 5
Hence x = 5, y = 12 and z = 12
Answer-14+23x
Step-by-step explanation:
2+4-10x3+13×2-23x+12
2+4-30+26-23x+12
14-23x÷(-1)
-(14-23x)
-14+23x
Answer:
I don't think your supposed to find the value of x and y but I think you need to combine like terms.
Answer:
0 ≤ u < 7 and 0 > u > - 7 and combining those two we get - 7 < u < 7.
Step-by-step explanation:
The given inequality is |u| - 2 < 5 ....... (1)
We have to solve this inequality.
Now, from the definition of f(x) = |x| we get, f(x) = x, when x ≥ 0 and
f(x) = -x when x < 0.
Hence, for u ≥ 0, the equation of inequality (1) becomes
u - 2 < 5
⇒ u < 7
Therefore, the solution is 0 ≤ u < 7 (Answer)
Again, for u < 0, the equation of inequality (1) becomes
- u - 2 < 5
⇒ u + 2 > - 5
⇒ u > - 7
Therefore, the solution becomes 0 > u > - 7 (Answer)
Amount of soup Nellie made = 734 quarts
Amount of soup each container contains = 14 quarts
So, the number of containers Nellie filled =
= 52.42
So, Nellie filled 52 containers completely.