Answer:
x = 4
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, as shown in the figure.
Equating their measures, we have ...
∠A = ∠C
8x -7 = 25 . . . . substitute the given expressions
8x = 32 . . . . . add 7
x = 4 . . . . . . divide by 8
Answer: 5 units
sin(D) = 5/13
Step-by-step explanation: edge 2021
They would be congruent by the side side side (s-s-s) theorem.
They are BOTH right triangles.
You have one triangle with legs = 5 and 12, by the Pythagorean Theorem, the hypotenuse would be 13.
In the other triangle, you have a leg = 12 and hypotenuse = 13. By the Pythagorean Theorem, the other leg would be 5.
So, you have 2 triangles with sides of 5, 12 and 13 and they are congruent by the (s-s-s) theorem.
Answer:
<em>"Use the distance formula to find the length of each side, and then add the lengths".</em>
Step-by-step explanation:
By definition the perimeter of a quadrilateral is the sum of the length of its sides.
Therefore the first thing we should find is the length of the sides of the quadrilateral
If we have the vertices A, B, C and D of the quadrilateral then the distance between two of its vertices is the length of one of its sides.
For example, the distance between vertex A and vertex B is the length of the AB side. Then, using the formula of the distance between two points, we find the length of its sides and add them together.
Then the correct answer is: <em>"Use the distance formula to find the length of each side, and then add the lengths".</em>
