Answer:
∠DCF is 100°
Step-by-step explanation:
Given tangent AD and secant FB intersect at point C, the point of tangency. We have to find the measure of ∠DCF.
As, ∠COF=160°
In ΔCOF, by Angle Sum Property of triangle
∠OCF+∠COF+∠OFC=180°
⇒ ∠OCF+160°+∠OCF=180° (∵OC=OF)
⇒ 2∠OCF=20° ⇒ ∠OCF=10°
Now, we have to find the ∠DCF
∠DCF=∠DCO+OCF
As radius from the center of circle to the point of tangency is perpendicular to the tangent line.
∠DCF=∠DCO+OCF
=90°+10°=100°
For this question you use the Pythagorean Theorem, with the equation A^2 + B^2 = C^2, for this problem the best way to solve it would be to draw a rectangle and label the shorter sides 3.7, longer sides 4.7, and to draw a diagonal line through the center.
To solve the equation you only need to find the hypotenuses (the longest side of the triangle) of one triangles since the triangles have the same measurements.
For your equation A^2 + B^2 = C^2, the a and the b represent the two shorter sides and the c represents the hypotenuse, after plugging in your number you get this equation,
3.7^2 + 4.7^2 = c^2, you then proceed to work out this equation by squaring the two numbers, you now have, 13.69 + 22.09 = c^2, you then add those two numbers and get, 35.78 = c^2, you now have to isolate the c to find the hypotenuse, to do this you find the square root of both sides, your result is c = 5.98, you then add 5.98, 3.7, and 4.7 to find the perimeter, which is 14.38, this is the perimeter of both of the triangles.
Answer:
True: 12, 13
False 11, 14
Step-by-step explanation:
Two lines intersect and form two pairs of vertical angles:
- angles 2 and 4 are vertical;
- angles 3 and the sum of angles 1 and 5 are vertical.
Vertical angles are always congruent, so
(12 statement is true)
(13 statement is true)
Angles 3 and 4 are supplementary angles (add up to 180°), but these angles can have different degree measures, so statement 11 is false.
Statement 14 is false too, because angle 3 can have the degree measure which differs form 90°.
One hundred more than 792 = 792 + 100
792 + 100 = 892
892 is your answer
hope this helps
Answer:
We are learning this in 7th grade lol how did you get 7th grade math to 6th grade math
