Find the reciprocal of the second fraction: -9/4, and multiply it instead of dividing.
2/3 x -9/4 = -18/12. By reducing it’ll be -3/2, or -1 1/2 in mixed form.
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:the third option is the correct answer
Step-by-step explanation:
The given system of linear equations is expressed as
y – 3x = –2 - - - - - - - - - - - -1
y = 4 - - - - - - - - - - - - - 2
The first step is to substitute equation 1 into equation 2. It becomes
4 – 3x = –2
Subtracting 4 from the left hand side and the right hand side of the equation, it becomes
4 - 4 - 3x = –2 - 4
- 3x = - 6
Dividing the left hand side and the right hand side of the equation by - 3, it becomes
- 3x/ - 3 = - 6/ - 3
x = 2
(2, 4)
Answer:
Distance from the moon is 2.4 × 10⁵ miles
Step-by-step explanation:
Length of 1-inch paperclip = 
miles
Number of paperclips used to reach the moon = 1.5 × 10¹⁰
Total distance from the moon = Number of paper clips used × Length of one clip
= (1.5 × 10¹⁰) × (1.6 × 10⁻5)
= (1.5 × 1.6) (10¹⁰× 10⁻⁵)
= 2.4 × 10⁽¹⁰⁻⁵⁾ miles
= 2.4 × 10⁵ miles
Distance from the moon is 2.4 × 10⁵ miles.
