Answer:
Please check the explanation.
Step-by-step explanation:
6)
Given ΔMNO ≅ ΔPQR
As congruent parts of congruent triangle are congruent.
and also given
so
m∠N = m∠Q
2x+6 = 4x+12
4x-2x = 6-12
2x = -12
Divide both sides by 2
x = -6
Thus, the value of x = -6
Therefore, option 'A' is true.
7)
Given ΔABC ≅ ΔDEF
As congruent parts of congruent triangle are congruent.
and also given
so
AB = DE
4v+2 = 6v-4
6v-4v = 2+4
2v=6
Divide both sides by 2
v = 3
Thus, the value of v = 3
Therefore, option 'A' is true.
The least common multiple of 2 5 6 9 would be 90
Answer:
For equation 21-b=11 given in the statement
the answer is b=10
Step-by-step explanation:
This is the equation: 21-b=11
If we sum '-21' to both sides of equation, we have
21-b-21=11-21, which leaves us to: -b=-10
Now lets multiply the equation from above by '-1', we obtain that b=10
Answer:
1/6 + 1/5 = 1/x, 3 days
Step-by-step explanation:
a) x days will take to paint the house together.
b) 1/6 part of the house, Noah paints for 1 day.
1/5 part of the house, Owen paints for 1 day
1/x part of the house they paint for 1 day together, and also we can write that
(1/6 + 1/5) part of the house they paint for 1 day together.
So, we can write equation
1/6 + 1/5 = 1/x
c) 1/6 + 1/5 = 1/x
30x*1/6 + 30x*1/5 = 30x*1/x
5x + 6x = 30
11x = 30
x = 30/11 ≈2.72 ≈ 3 days
