Answer:
<h3>8</h3>
Step-by-step explanation:
If a coordinate point (x, y) is dilated by a factor k, then the resulting coordinate will be (kx, ky)
Given the coordinate (4,1), if this coordinate is dilated by a factor of 2 then the new coordinate points will be at (2(4), 2(1))
New point = (8, 2)
Hence x-coordinate of one of the the end point of the dilated segment is 8
Answers and Step-by-step explanations:
9-18.
a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.
Then, we can just solve for x by subtracting 30 and 115 from both sides:
x = 180 - 115 - 30 = 35 degrees
b) Again all three angles should add up to 180, so:
x + x + x = 180 ⇒ 3x = 180 ⇒ x = 180/3 = 60 degrees
9-19.
a) These angles add up to 180:
2x + x + 30 = 180 ⇒ 3x + 30 = 180 ⇒ 3x = 150 ⇒ x = 50
2x = 50 * 2 = 100
The missing angles are 100 degrees and 50 degrees.
b) Again, these add up to 180:
x + 10 + x + 90 = 180 ⇒ 2x + 100 = 180 ⇒ 2x = 80 ⇒ x = 40
x + 10 = 40 + 10 = 50
The missing angles are 50 degrees and 40 degrees.
Hope this helps!
Answer:
3,400 ml
Step-by-step explanation:
Conversion factor: 1000
2) mL = L * 1000
3) mL = 3.4 * 1000
4) mL = 3400
Answer: Rectangle around the cylinder, Lateral surface of the cone, Half a sphere
To find this surface area, you have 3 different parts. First, you need the rectangular portion of the cylinder, because the circles will be on the inside of the composite shape. Then, you will need the lateral side of the cone, that's everything but the circular base. Again, the circle will be on the interior. Finally, you should find the surface area of half of the sphere.
Answer:
c
Step-by-step explanation:
