Part 3) <span>Given triangle XYZ as shown at right find YZ rounded to the nearest tenth
we know that
</span><span>the sum of the internal angles of a triangle add up to 180 degrees
</span>so
m∠X=180-[55+29]----> 96°
applying the law of sines
YZ/sin X=35/sin 55°------> YZ=35*sin 96/sin 55-----> YZ=42.49
YZ=42.5 units
the answer Part 3) isYZ=42.5 unitsPart 4)
we know that
OQ/NQ=PR/NR
NQ=4X+(2X+2)---> 6X+2
OQ=2X+2
PR=15
NR=24+15----> 39
(2X+2)/(6X+2)=15/39
39*(2X+2)=15*(6X+2)
78X+78=90X+30
90X-78X=78-30
12X=48
X=4
The answer part 4) isx=4Part 5) A trapezoid is show below. Calculate the measure of angle x. Round to the nearest tenth of a degree
see the picture with letters attached to better understand the problem
we know that
BC=36-28-----> 8 ft
sin x=BC/AC-----> sin x=8/12
x=arc sin(8/12)-------> x=41.81°------> x=41.8°
the answer Part 5) isx=41.8°
Answer:
true
Step-by-step explanation:
If you know the center is at (-1,3), then find r by writing out the standard formula for the equation of a circle, as follows:
(x-2)^2 + (y-5)^2 = r^2
We still have the other point to deal with: (-4,1). Subst. -4 for x in this equation, and 1 for y:
(-4-2)^2 + (1-5)^2 = r^2. Then 36 + 16 = r^2,
and 52 = r^2, so that the radius is positive sqrt(52).
You could write that as sqrt(4)sqrt(13) = 2sqrt(13). Take your pick.
Answer:
<h3><em>x° </em><em>=</em><em> </em><em>1</em><em>6</em><em>°</em></h3>
Step-by-step explanation:
Answer:Multiply by the reciprocal, also sometimes referred to as "Keep, Change, Flip." Here is how it works. You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.
Step-by-step explanation: