Answer:
see the attachment
Step-by-step explanation:
• When two secants intersect a circle the measure of the angle between them is half the difference of the intercepted arcs. Tangent DH is a degenerate case of a secant in which both points of intersection are the same point (D). Thus ∠GHD is half the difference of arc GD and ED.
• We assume points B and C are on radii DA and EA, respectively. Hence arc DE has the same measure as ∠BAC, and ∠DGE has half that measure.
• Tangent DH will intersect radius DA at right angles. Hence ∠ADH = 90°.
• ∠DHE = ∠DHG, whose measure is given by the formula in the first answer choice. The formula in the 4th choice is different (and wrong).
• ∠DGE and ∠BFC both intercept arcs with the same measure. Neither is greater than the other: they are equal in measure.
• Inscribed triangle DGE cannot be a right triangle because none of its sides is a diameter of the circumcircle.
Slope is perpendicular to the line that passes (1, 0) & is parallel to y = 3x + 5
We need to first find the slope. Since we're already given an equation, we can simply find it within there :)
We're given an equation in slope intercept form (y = mx + b) so we can simply look in the "m" spot. Therefore, we know that the slope is 3.
Since our slope is perpendicular to the given line, we must find the negative reciprocal of the slope.
A negative reciprocal is simply a number flipped over and then given a negative (or a negative is removed).
An example is here : slope = 8 → negative reciprocal of slope = -1/8
So, our negative reciprocal of "3" is -1/3.
Therefore, our new slope is -1/3.
Now, since it passes through (1, 0) then this is how we are going to find out y-intercept to input it into our new equation.
y = mx + b
Simply plug in everything (including slope and y)
0 = (-1/3)(1) + b
Simplify.
0 = -1/3 + b
Add 1/3 to both sides.
1/3 = b
Therefore, our y-intercept is b.
Now that we have all of the needed variables for our new equation, simply plug everything into an all new equation :)
y = mx + b
y = -1/3x + 1/3
~Hope I helped!~
(0,0)(12,84)
slope = (84 - 0) / (12 - 0) = 84/12 = 7
it goes thru the origin (0,0) therefore, the y int = 0
In y = mx + b form, the slope will be in the m position and the y int will be in the b position.
ur equaton is : y = 7x + 0, which can also be written as y = 7x <==
Answer:
3. 56 mm.
4. 63 m.
5. 225 in.
Step-by-step explanation: