Answer:
|NT| = 25
Step-by-step explanation:
The four sides of this square all have the same length. Thus, 5x = 10x - 25, which, in turn, becomes 25 = 5x, giving us x = 5. The length of NT is 5(x), or |NT| = 25.
Hi, Siyasi2 ! Let x = the number of hot dogs, y = the number of chips, and z = the number of drinks. Then we know:
5x + 4y + 5z = 15.75
x = y + 0.75
z = 2x - 1
Let's substitute the 3rd equation into the first one.
5x + 4y + 5(2x - 1) = 15.75
5x + 4y+ 10x - 5 = 15.75
15x + 4y = 20.75
Now, let's re-write the 2nd equation as x - y = 0.75
We now have a system of two equations with two unknowns.
15x + 4y = 20.75
x - y = 0.75
To solve this, we can multiply the bottom equation by 4 and add.
15x + 4y = 20.75
+ 4(x - y = 0.75)
19x = 23.75
or x = 1.25
If x = 1.25, then using the one of the equations above, we can solve for y.
x - y = 1.25 - y = 0.75
.50 = y
Since z = 2x - 1, then z = 2(1.25) - 1 = 2.5 - 1 = 1.50
So, a hot dog is $1.25, chips are 50 cents, and a soft drink is $1.50. Please let me know if you have any questions.
Answer:
63degrees
Step-by-step explanation:
Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.
Given
angle of its intercepted arc = 126 degree
Required
angle at the vertex = x =<XYZ
According to the theorem;
x = 1/2(126)
x = 126/2
x = 63
Hence the measure of <XYZ is 63degrees
You can using any equation you want to solve for one of the variables. For instance, if you want to solve for x you turn one of the equations so y is by its self
<span>
2x + 3y = 5
4x - y =3
I am going to use </span>4x - y =3
-y = -4x + 3
y = 4x -3
Now you can substitute 4x - 3 for y in 2x + 3y = 5 and solve for x
2x + 3y = 5
2x + 3(4x - 3) = 5
Answer:
12.87
Step-by-step explanation:
