Answer:
A) 4
Step-by-step explanation:
There are a couple of ways to get this but this is how I did it:
1. Multiply the second equation by 1/4 to get the same fraction for y as the one in the first equation
1/4 x + 1/8 y = 2
1/4 (1/3 x + 1/2 y = 4)
1/12 x + 1/8 y = 1
2. Subtract the first equation from the new equation
1/12 x + 1/8 y = 1
<u> - 1/4 x - 1/8 y = -2</u>
-1/6 x= -1
3. Divide both sides by -1/6
<u>-1/6</u> x= <u>-1</u>
-1/6 -1/6
x = 6
4. Substitute 4 in for x in the original equation:
1/4 (6) + 1/8y = 2
6/4 + 1/8y = 2
1/8y = 1/2
y = 4
Given:
The figure of a trapezium.
To find:
The measures of missing angle
.
Solution:
In the given figure
.
If a transversal line intersect the two parallel lines, then the same sides interior angles are supplementary angles.
(Supplementary angles)
![87^\circ+m\angle M=180^\circ](https://tex.z-dn.net/?f=87%5E%5Ccirc%2Bm%5Cangle%20M%3D180%5E%5Ccirc)
![m\angle M=180^\circ-87^\circ](https://tex.z-dn.net/?f=m%5Cangle%20M%3D180%5E%5Ccirc-87%5E%5Ccirc)
![m\angle M=93^\circ](https://tex.z-dn.net/?f=m%5Cangle%20M%3D93%5E%5Ccirc)
Similarly,
(Supplementary angles)
![51^\circ+m\angle K=180^\circ](https://tex.z-dn.net/?f=51%5E%5Ccirc%2Bm%5Cangle%20K%3D180%5E%5Ccirc)
![m\angle K=180^\circ-51^\circ](https://tex.z-dn.net/?f=m%5Cangle%20K%3D180%5E%5Ccirc-51%5E%5Ccirc)
![m\angle K=129^\circ](https://tex.z-dn.net/?f=m%5Cangle%20K%3D129%5E%5Ccirc)
Therefore,
and
.
Answer:
-78.12
Step-by-step explanation:
Is this the full question? I’m confused.
450➗75✖100= 600.
The original price was $600