Answer:
x = 5
Step-by-step explanation:
Given that,
NL = 5x, LM = 3x, and NL = 15
L is between M and N.
To find,
The value of x.
Solution,
It is mentioned that, L is between M and N. So,
LM = LN
Put all the values,
3x = 15
⇒ x = 5
So, the value of x is equal to 5.
Reference,
brainly.com/question/19871240
Answer:
The length of BC is 17 units
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem we have an isosceles triangle
Because
m∠ACB=m∠ABC ----> given problem
so
AC=AB
substitute the given values
solve for x
therefore
The length of BC is 17 units
For question 6 the answer is 100 because a quarter of a circle is 90 degrees
Answer: the cost per unit of gas is $0.38
Step-by-step explanation:
Let x represent the cost per unit of electricity.
Let y represent the cost per unit of gas.
During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of $344. It means that
600x + 100y = 344- - - - - - - - - -1
The next month, 400 units of electricity and 250 units of gas were used for a total cost of $299.
It means that
400x + 250y = 299- - - - - - - - - -1
Multiplying equation 1 by 400 and equation 2 by 600, it becomes
240000x + 40000y = 137600
240000x + 150000y = 179400
Subtracting, it becomes
- 110000y = - 41800
y = - 41800/- 110000
y = 0.38
Substituting y = 0.38 into equation 1, it becomes
600x + 100 × 0.38 = 344
600x + 38 = 344
600x = 344 - 38 = 306
x = 306/600
x = 0.51
