Answer:
Simplifying
12x + 2y = 18
Solving
12x + 2y = 18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
12x + 2y + -2y = 18 + -2y
Combine like terms: 2y + -2y = 0
12x + 0 = 18 + -2y
12x = 18 + -2y
Divide each side by '12'.
x = 1.5 + -0.1666666667y
Simplifying
x = 1.5 + -0.1666666667y
Let's call our unknown angle x .
We know that the sum of the three interior angles of a triangle is 180°
This way,
We get that the third angle measures 29°
Answer:
<h2>250
</h2>
Step-by-step explanation:
Area of the shape of the table = Length * Breadth (Rectangular in nature)
Area of the study table = 2m * 1.25m
Converting the units to cm
Since 100cm is equivalent to 1m, hence;
Area of the study table = 200cm * 125cm
Area of the study table = 25000cm²
If the study table is decorated with square design of size 10cm x 10cm, then the area of one square of such design will be 100 cm².
The number of square designs = Area of the study table/area of one square design
= 25000/100
= 250
Hence the number of such design on the study table is 250
Answer:
B. 
Step-by-step explanation:
Let l represent length of rectangle and w represent width of rectangle.
We have been given four formulas for the perimeter of rectangle. We are asked to choose the formula that displays a common student error for finding the perimeter.
We know that perimeter of a polygon is sum of all sides of the polygon. We also know that rectangle is polygon having two sets of equal sides.
The perimeter, P, of rectangle will be sum of its all sides that is:
Combine like terms:
Factor out 2:
Upon looking at our given choices, we can see that formula represented by option B displays a common student error for finding the perimeter.
Answer:
<em>d</em><em> </em><em>.</em><em> </em><em>49</em>
Step-by-step explanation:
<em>180-131</em><em> </em><em>(</em><em> </em><em>supplementary</em><em> </em><em>angle</em><em>)</em>
<em>=</em><em> </em><em>49</em><em>°</em>
