Answer:
3
Step-by-step explanation:
A triangle has two sides of length 17 and 19. What is the smallest possible whole-number length for the third side?
To solve for the above question, a rule applies.
The rule states that:
The sum of any 2 sides must be greater than than the third side.
The possible values for the third side are
19 - 17 < x < 19 + 17( x is the third side )
2 < x < 36
Thus the smallest possible whole number is 3
Answer:
1.
2.
Step-by-step explanation:
Q1. Given circle k(O).
The measure of the arc FE is 56°, this means the measure of the central angle FOE is 56° too.
Consider triangle FOE. This triangle is isosceles triangle with the base FE because FO = EO as radii of the circle.
Angles adjacent to the base of the isosceles triangle are congruent, so
The sum of the measures of all interior angles in the triangle FEO is always 180°, then
Angle FDE is inscribed angle subtended on the arc FE, hence its measure is the half of the central angle FOE:
Since FD = ED, thriangle FDE is isosceles triangle with congruent angles adjacent to the base FE. Then
Q2. If the measure of the arc RU is 50°, then the measure of the central angle ROU is 50° too.
If the measure of the arc UT is 30°, then the measure of the central angle TOU is 30° too.
Triangle ROU is isosceles triangle because RO = UO as radii of the circle. Angles adjacent to the base of the isosceles triangle are congruent, so
The sum of the measures of all interior angles in the triangle ROU is always 180°, then
Angle UST is inscribed angle subtended on the arc UT and has the measure that is half the measure of the central angle TOU:
Answer:
The brown house has the longer driveway
Step-by-step explanation:
So we would need to convert both of these units of measurements to feet in order to compare them.
- There are <u>3 feet in 1 yard</u>
Converting yards to feet, wee need to multiply the number of yards by 3
Since the red house has a driveway of 7 yards and 9 feet, we can rewrite this to 21 feet + 9 feet, which is equivalent to 30 feet
Now comparing the two driveways, the 35 ft-long brown driveway is 5 feet longer than the 30 ft-long red driveway.
The brown house has the longer driveway
Answer:
48 degrees.
Step-by-step explanation:
The value of a triangle equals 180* in total, so, 47 + 85 = 132.
180-132=48*.
Step-by-step explanation:
CD = 6 cm because opposite sides are equal
angle d = 110