Answer:
(x, y) = (18, 5)
Step-by-step explanation:
Assuming the three lines meet at a single point at lower left (the figure is sloppily drawn), the angle (3x)°+49° is a corresponding angle to (7x-23)°. That means they have the same measure:
3x +49 = 7x -23
72 = 4x . . . . . . . . . add 23-3x
18 = x . . . . . . . . . . . divide by 4
__
Angles (3x)° and (11y-1)° are "corresponding" angles, so are congruent.
3x = 11y -1
3(18) +1 = 11y . . . . add 1, fill in the value of x
55/11 = y = 5 . . . . divide by 11
The values of x and y are 18 and 5, respectively.
3 out of 10 or 30% becasue if he is guessing and he has to get 7 out of 10 right then it would be 3 out of 10
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:
A. 1,177.58 cm³
Step-by-step explanation:
Volume of hemisphere = ⅔πr³
Radius (r) = 16.51 ÷ 2 = 8.255
π = 3.14
Plug in the values
Volume of the hemisphere-shaped cup = ⅔ × 3.14 × 8.255³
= 1,177.57783 ≈ 1,177.58 cm³
There are 15 rows, hope this helped!