<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:
B = 781.347
Step-by-step explanation:
Since we already have an equation just plug in terms where needed.

First, start by multiplying to get rid of the parentheses.

Now get rid of the power.
B = 781.347
Hope this helps with the problem.
7 centimeters is a possible length for the third side ⇒ B
Step-by-step explanation:
Let us revise the triangle Inequality Theorem
- The sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side
- To prove that by easy way add the smallest two sides, if their sum greater than the third side,then the sides can form a triangle
Assume that the length of the third side is x cm
∵ The length of two sides are 7 cm and 10 cm
∵ The length of the third side is x cm
- Put the sum of x and 7 greater than 10 ( x and 7 are the smallest sides)
∴ x + 7 > 10
- Subtract 7 from both sides
∴ x > 3
- Put the sum of 7 and 10 greater than x (7 and 10 are the smallest sides)
∵ 7 + 10 > x
∴ 17 > x
∴ x < 17
- By using one inequality for x (combined the two inequalities in one)
∴ 3 < x < 17
That means the length of the third side is any number between 3 and 17
There is only one answer between 3 and 17
∵ 7 is between 3 and 17
∴ The length of the third side could be 7 cm
7 centimeters is a possible length for the third side
Learn more:
You can learn more about triangles in brainly.com/question/4599754
#LearnwithBrainly
Assuming that Ralph budgeted $180 instead of $175 entertainment. He spent $35 per date and let "x" be the number of dates he attended. He spent $15 to go out with friends and let "y" the number of times that he go out with friends.
The correct expression is the "B" which is 35x + 15y =180.