Answer:
x = 4
m<cdb = 82
Step-by-step explanation:
The exterior angle thm states that the exterior angle of a triangle is equal to the sum of the opposite interior angles:
7x + 2 + 17x = 98
24x + 2 = 98
24x = 96
x = 4
m<cdb =
y + 98 = 180
y = 180 - 98
y = 82
Answer:
Step-by-step explanation:
I'm thinking cu
1. Find the surface area of the rectangular prism. (1 point)
<span>Measures are 2, 3, and 4 inches. Let W=2, L=3, H=4 </span>
<span>a rectangular has six sides, the total surface area is equal to 6 plains: </span>
<span>2*W*L + 2*L*H + 2*L*W </span>
<span>= 2*(W*L + L*H + L*W) </span>
<span>= 2 * (2*3 + 3*4 + 4*2) </span>
<span>= 2 * ( 6 + 12 + 8 ) </span>
<span>= 2 * 26 </span>
<span>= 52 ................... the last choice </span>
<span>2. A cube has a side length of x feet. Which expression represents the surface area of the cube? (1 point) </span>
<span>Area of one face = x^2, Total Area of 6 faces = 6*x^2 = 2x^2 units </span>
<span>3. Find the surface area of the cylinder. Use 3.14 for pi . (1 point) </span>
<span>Length: 15 cm, Diameter: 2 cm </span>
<span>A cylinder has 3 surfaces: two circles + one curved surface area </span>
<span>...... two circles of 2cm diameter (1cm radius) </span>
<span>A = pi*r^2 = 3.14*1*1 = 3.14 sq. cm ...... two circles' area = 6.28 sq.cm </span>
<span>Curved surface area = circumference * length </span>
<span>.... circumference = pi*d = 3.14 * 2 = 6.28 cm ......... length = 15 </span>
<span>curved surface area = 6.28*15 = 94.2 sq. cm </span>
<span>Add both for total surface area = 6.28 + 94.2 = 100.48 sq.cm </span>
<span>4. The bottom of a shopping bag measures 8 inches by 10 inches. The bag has a height of 12 inches. How much paper is needed to make the bag? (1 point) </span>
<span>two pieces of paper ... one for bottom = 8*10 = 80 sq.in </span>
<span>the other ... height * perimeter of the bottom = 12*(2*(10+8)) = 12 * 2 * 18 = 432 sq.in </span>
<span>Add both: 80 + 432 = 512 sq.in <<<<<<<<<<<</span>
First, we'll find the area of the large section, including the smaller section that is white.
Area of a circle: pi x r^2
A = pi x 7^2
A = 49pi x 120/360
A = 49/3 pi cm^2
Now, we'll find the area of the small section.
A = pi x 3^2
A = 9 pi x 120/360
A = 3pi cm^2
All that's left to do now is subtract.
49/3 pi - 3 pi
40/3 pi cm^2
(or 13 1/3 = 13.33 cm^2)
Hope this helps!
