Answer:
50°
Step-by-step explanation:
In a parallelogram, opposing angles must be equal. Note how 75° = 75°. Thus, opposing angles 2x + 5 and x + 55 must also be equal.
Solve this equation for x.
Subtracting x from both sides yields x + 5 = 55. Next: Subtracting 5 from both sides yields x = 50° (answer choice C)
Answer:
174 inches squared
Step-by-step explanation:
First, we have to remember what the area of a triangle is:
Since there are 4 of the same triangle, multiply the area of one triangle by 4:
Since
X = T
Z = S
Y = U
Then XZY = TSU
The Answer ;
D ) XZY =TSU
Slope = difference in y / difference in x
Slope = (w --9) / (5 --7)
Slope = (w +9) / (5 + 7)
12 * slope = w +9
w = 12*slope -9 and since slope = 1,
w = 12 -9
w = 3
Answer:
40 square metres
Step-by-step explanation:
The shaded region is of a triangle, whose area is denoted by: A = (1/2) * b * h, where b is the base and h is the height.
Since the left figure is a square with side lengths 10, we know that the height of the triangle is also 10 metres. The right figure is a rectangle with length 4. Since the total base length of the entire figure is 18 and the base of the square is 10, then the width of the rectangle is 18 - 10 = 8 metres.
This width is also the base of the triangle, so b = 8.
Now plug these values into the equation:
A = (1/2) * b * h
A = (1/2) * 8 * 10 = (1/2) * 80 = 40
The area is 40 square metres.
