Answer:
4 in.
Step-by-step explanation:
By definition of a equilateral triangle, all sides and interior angle measurements are congruent.
Essentially, all interior angles = 60°
By definition of a triangle, a triangle has 3 sides. It is given that the total measurement of the sides is 12. Divide 12 with 3: 12/3 = 4
4 inches is the side length.
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Answer:
Step-by-step explanation:
You need to pay very close attention to the triangle similarity statement. This says that triangle NML is similar to triangle NVU. But if you look at the way that triangle NVU is oriented in its appearance, it's laying on its side. We need to set it upright so that angle N is the vertex angle, angle V is the base angle on the left, and angle U is the base angle on the right. When we do that we see that sides NV and NM are corresponding and exist in a ratio to one another; likewise with sides VU and ML. Setting up the proportion:

Filling in:

Cross multiply to get
324 = 108x
and x = 3
The slope is 2/3, and the y-intercept is 4. In slope intercept form, the equation is y=2/3x+4
The square root of 225 is 15. I hope that helped!
Answer:
90
Step-by-step explanation:
Angle Formed Outside = 1/2(DIFFERENCE of Intercepted Arcs)
ARC LN = 360 - 270 =90
LMN = 1/2(270 -90)
= 1/2 (180)
= 90