Answer:
The Length of <em>JK</em> is 10
Step-by-step explanation:
Because <<em>J </em>is congruent to <<em>L</em> we know that the triangle in question must be isosceles as in an isosceles triangle two angles opposite of each other are equal. (This is also true for equilateral triangles, however, in an equilateral triangle all sides must be congruent, so we can rule equilateral out as <em>LJ </em>is not congruent to <em>KL.) </em>This means that the triangle must be isosceles.
In an isosceles triangle the side opposite each other are congruent, and the angles opposite each other are congruent when split down the line of symmetry.
Therefor, the length of <em>JK </em>must be congruent to the length of <em>KL. </em>In other words if <em>JK </em>= 10, then <em>KL </em>must equal 10 as well.
Answer:
(-2, -4)
Step-by-step explanation:
Given:
The system of equations to solve is given as:

In order to solve this system of linear equations, we use substitution method.
In substitution method, we substitute the value of any one variable in the other equation.
So, we substitute the value of 'y' from first equation in the second equation.
This gives,

Dividing both sides by 3, we get:

Now, 
Therefore, the solution is (-2, -4)
Answer:
-35a
Step-by-step explanation:
Here, you just distribute: -7 * 5a
= -35a
6x+1 = 12x because the Z angles are the same
Solve this and you get:
1 = 12x - 6x => x = 1/6
Answer:
468.75 square inches
Step-by-step explanation:
Let the length of Julian's tank be x
Let the width of Julian's tank be y
So, Area of Julian's tank=
Since we are given that Julian's tank is approximately 300 square inches
So,
--1
Now we are given that The dimensions of his friend's tank are each exactly
times the dimensions of Julian's tank.
So,length of his friend's tank =
So,width of his friend's tank =
So, Area of his friend's tank=
=
=
(Using 1)
=
Hence the approximate area of the rectangular base of his friend's tank is 468.75 square inches.
So, Option D is correct.