-7 and 8 because adding them gets you 1 and 8x7=72, but the -7 makes it -72
Answer: The value of Z is 14
Step-by-step explanation: The numbers are X, Y and Z and they are described as consecutive integers. That means there is a difference of 2 between each number (just like even numbers 2, 4, 6 8...). In other words if the first number is X, the next number would be X+2, while the third one would be X+4, and so on. This means Y would be X+2 and Z would be X+4.
However, 3 times the value of Z (X+4) exceeds half of X (X/2) by 37. This can be expressed as follows;
3(X + 4) = X/2 + 37
3X + 12 = X/2 + 37
3X - X/2 = 37 - 12
(6X - X)/2 = 25
6X - X = 25 * 2
5X = 50
Divide both sides of the equation by 5
X = 10
Therefore, Z (X + 4) equals 10 + 4 which gives you 14
The value of Z = 14
<u>Area of triangle = (1/2) × Base × Height</u>
Area of bigger triangle = (1/2) × 15 cm × 10 cm
Area of bigger triangle = (1/2) × 150 sq. cm
Area of bigger triangle = 75 sq. cm
Similarly,
Area of smaller triangle = (1/2) × 12 cm × 5 cm
Area of smaller triangle = (1/2) × 60 sq. cm
Area of smaller triangle = 30 sq. cm
Area of shaded region = Area of bigger triangle - Area of smaller triangle
Area of shaded region = 75 sq. cm - 30 sq. cm
Area of shaded region = 45 sq. cm
<u>Answer</u><u> </u><u>:</u>
Area of shaded region in sq. cm = 45
Answer:
because all triangle's interior angles add up to 180 degrees so and angles 8 and 9 are supplementary. Angle 9 is 77 degrees.
Step-by-step explanation:
because all triangle's interior angles add up to 180 degrees so and angles 8 and 9 are supplementary. Angle 9 is 77 degrees.
