A tangent (here WZ in the question) to any circle (here O in the question) is a line segment that touches the circle at only one point (here B in the question) on circumference of circle, and the radius of the circle (here OB in the question) through this point is always perpendicular to that particular tangent.
In other words, Tangent (WZ) and Radius (OB) of any circle (O) always make a Right angle at point of intersection (B) on its circumference.
It means angle ∠OBZ would be a Right angle i.e. 90 degrees.
So, option B i.e. 90 degrees is the final answer.
There are 2 possibilities:
if F is rotated <span>90° about the origin in the
clockwise (negative) direction, the image is the point F'(3, 0), as shown with the
red line segments.
</span>if F is rotated 90° about the origin in the
counterclockwise (positive) direction, the image is the point F'(-3, 0), as shown with the
green line segments.
both 1 and 2 are possible.
Remark: A rotation of point F, it the movement of F in a circle with center O and with radius OF.
Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.
Step-by-step explanation:
Given,
Cost of each flashlight = $12
Cost of each sleeping bag = $45
Total cost = $1785
Let,
x represent the number of flashlights ordered
y represent the number of sleeping bags ordered
According to given statement;
12x+45y=1785 Eqn 1
x = 5y Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 105
Putting y=17 in Eqn 1
Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.
Keywords: linear equation, substitution method
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Answer:
D
Step-by-step explanation:
I think it is the right answer, but I am not sure
I believe the correct answer is 1.08
64-6= 58
58 squared= 7.6(or 7.61)
5+2= 7
7.6÷7= 1.08