The exterior angle at the intersection of the tangent and secant has a measure that is half the difference between the intercepted arcs.
... ((10x+20) -80)/2 = 2x+15
... 5x -30 = 2x +15
... 3x = 45
... x = 15
So, the unknown arc to the right has measure
.. 10x + 20 = 10·15 +20 = 170
And the arcs of the circle total 360°.
... 80 + z + 170 = 360
... z = 360 - 250 = 110 . . . subtract 250 from both sides
The appropriate choice for the value of z is
... B. 110
Answer:
Answer = X= 3
Step-by-step explanation:
Let's solve your equation step-by-step.
5x − 3 = 12
Step 1: Add 3 to both sides.
5x − 3 + 3 = 12 + 3
5x = 15
Step 2: Divide both sides by 5.
5x/5 = 15/5
Answer = X= 3
Hope I Helped. Have A Wonderful Day...
Area of rectangle = LxW = 13x7 = 91
Area of triangle = bxh/2 = 7x7/2= 24.5
Total area= 91+24.5= 115.5 in^2
Answer: segment KH
Explanation:
The altitude of a triangle is defined as a segment connecting one of the vertex of the triangle with the opposite side of the triangle (or with an external prolongation of it), forming a right angle with it.
Note that the altitude of a triangle can also be outside the area of the triangle.
If we look at the picture, we see that:
- IH is a side, so it is not an altitude of the triangle
- KH is an altitude of the triangle, since it connects the vertex H with the external prolongation of IG, and it makes a right angle with it
- GJ: we don't know if it is an altitude, since we don't know if it forms a right angle or not
- GH: it is a side of the triangle, so it is not an altitude
So, the correct answer is segment KH.
Answer: Tiffany by 1/12 of a mile
Step-by-step explanation:
Find the common denominator and compare both of them
