Answer:
x = 30°.
Step-by-step explanation:
The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.
The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.
The largest triangle includes three angles:
- The angle with the center of the circle as its vertice: 60°;
- The right angle due to the tangent to the circle: 90°;
- The angle x°.
What is the value of x?
The three interior angles of a triangle add up to 180°. As a result,
60° + 90° + x° = 180°
x = 180 - 90 - 60 = 30.
Answer:
Assuming the slide is straight - 12 feet
Step-by-step explanation:
Assuming the slide is straight - it creates a right triangle with long side 13 feet and one of the short sides of 5 feet. We need to find the other short side.
We know that:
the answer is 1 and 4
Start by subtracting, so on #1 subtract 5-8, 8-11, 11-14
then go up to x, -2--1, -1-0, 0-1
8 goes into 13 1 time. 13-8=5. Bring down the 2. 8 goes into 52 6 times. 52-48=4. Answer is 16 remainder 4.
Check: 16x8=128, +4 remainder equals 132.
Answer:
Zhenghao is correct
Step-by-step explanation:
We have that:
(2x+3)(x + 4) = x² + 7x + 12
The only two factors of x² + 7x + 12 different from 1 ,-1 and and itself are (2x+3) and (x + 4)
If Hafsana says that (x + 3) is a factor of x² + 7 + 12, He or she is not correct.
If Zhenghao says that x² + 7x + 12 is divisible by 2x + 3, He or she is correct because (2x + 3) is a factor of x² + 7x + 12