My triangle solver says EF ≈ 7.5 ft.
_____
The law of cosines is usually used for this.
EF^2 = DE^2 +DF^2 -2*DE*DF*cos(D)
.. = 6^2 +11^2 -2*6*11*cos(40°)
.. ≈ 55.88
EF ≈ √55.88 ≈ 7.5 . . . ft
Answer: C, D
Step-by-step explanation:
31 - use the Pythagorean theorem to find the distance
a = 45
b = 28
plug in values
c = 53
answer choice C
32 - non linear functions are functions that aren't straight. if a function has anything besides a constant or an x variable to the power of 1, it is not linear
A - this is linear because -18 is a constant
B - this is linear because it only contains constants and an x variable to the power of 1
C - this is linear because it only contains an x variable to the power of 1
D - this is not linear because the x variable is on the bottom of the fraction, so x is to a power of -1
answer choice D
Answer:
Step-by-step explanation:
Slope =(x2-x1/y2-y1)
=(3-7/2+3)
-4/5
slope =-4/5
Answer:
We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because
✔ all radii of the same circle are congruent.
We also know that AC ≅ BC since
✔ tangents to a circle that intersect are congruent.
Using the reflexive property, we see that
✔ side CO is congruent to side CO.
Therefore, we conclude that △ACO is congruent to △BCO by the
✔ SSS congruence theorem.
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