Answer:
x = 6
z = 60
Step-by-step explanation:
Solve for x
(6x + 84) = 120
- 84 -84
6x = 36
6x/6 = 36/6
x = 6
Then solve for z
120 + z = 180
-120 -120
z = 60
Answer: half year
Step-by-step explanation:
The formula to find the simple interest is given by :-
, , where P is the principal amount , r is the rate of interest and t is the time in year.
Given : I=420 ; r=14%=0.14 and P =$6000
Then, we have the following equation :-
![420=6000\times0.14 \times t\\\\\Rightarrow\ t=\dfrac{420}{6000\times0.14}=0.5](https://tex.z-dn.net/?f=420%3D6000%5Ctimes0.14%20%5Ctimes%20t%5C%5C%5C%5C%5CRightarrow%5C%20t%3D%5Cdfrac%7B420%7D%7B6000%5Ctimes0.14%7D%3D0.5)
It means the duration of the loan is half year .
Answer:
m3 = 110°
Step-by-step explanation:
m1 = 180° - m4 ( sum of angles in a straight angle )
m1 = 180° - 150° = 30°
m3 = 180° - (m2 + m1) ← sum of angles in a triangle
m3 = 180° - (40 + 30 )° = 180° - 70° = 110°
Answer:
1. x = 20
2. x = 45
Step-by-step explanation:
First Picture:
Because of vertical angles theorem, ECD is congruent to ACB making ACH 2x
Since a triangle adds up to 180 we can use the equation 2x + 2x + 100 = 180
From this, you will get x = 20
Second Picture:
Because we know that the lines are parallel you can use alternate interior angles theorem and make RST x too
Like the other problem, we can use an equation
In this case it is x + 2x + x = 180
You should get x = 45
Answer:
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