3:15
Step by step explanation:
10:45
-7:30
———
3:15
Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The correct option is A.
<h3>What are vertical angles?</h3>
Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
The proof can be completed as,
Given the information in the figure where segment UV is parallel to segment WZ.: Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively. According to the given information, segment UV is parallel to segment WZ, while ∠SQU and ∠VQT are vertical angles. ∠SQU ≅ ∠VQT by the Vertical Angles Theorem. Because ∠SQU and ∠WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, ∠VQT is congruent to ∠WRS by the Transitive Property of Equality.
Hence, the correct option is A.
Learn more about Vertical Angles:
brainly.com/question/24460838
#SPJ1
17 possible combinations
1. 3 quarters
2. 2 quarters, 1 dime, 1 nickel
3. 2 quarters, 3 nickels
4. 1 quarter, 5 dimes
5. 1 quarter, 4 dimes, 2 nickels
6. 1 quarter, 3 dimes, 4 nickels
7. 1 quarter, 2 dimes, 6 nickels
8. 1 quarter, 1 dime, 8 nickels
9. 1 quarter, 10 nickels
10. 7 dimes, 1 nickel
11. 6 dimes, 3 nickels
12. 5 dimes, 5 nickels
13. 4 dimes, 7 nickels
14. 3 dimes, 9 nickels
15. 2 dimes, 11 nickels
16. 1 dime, 13 nickels
17. 15 nickels
Answer:
cubic units
Step-by-step explanation:
We are to find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.
f(x)=2x+1, y=0, x=0, x=4.
The picture is given as shaded region.
This is rotated about x axis
Limits for x are already given as 0 and 4
f(x) is a straight line
The solid formed would be a cone
Volume = ![\pi \int\limits^a_b {(2x+1)^2} \, dx \\= \pi \int\limits^4_0 {(4x^2+4x+1)} \, dx \\=\pi [\frac{4x^3}{3} +2x^2+x]^5_0\\\\=\pi[\frac{4*4^3}{3}+2*4^2+4-0]\\=\frac{364\pi}{3}](https://tex.z-dn.net/?f=%5Cpi%20%5Cint%5Climits%5Ea_b%20%7B%282x%2B1%29%5E2%7D%20%5C%2C%20dx%20%5C%5C%3D%20%5Cpi%20%5Cint%5Climits%5E4_0%20%7B%284x%5E2%2B4x%2B1%29%7D%20%5C%2C%20dx%20%5C%5C%3D%5Cpi%20%5B%5Cfrac%7B4x%5E3%7D%7B3%7D%20%2B2x%5E2%2Bx%5D%5E5_0%5C%5C%5C%5C%3D%5Cpi%5B%5Cfrac%7B4%2A4%5E3%7D%7B3%7D%2B2%2A4%5E2%2B4-0%5D%5C%5C%3D%5Cfrac%7B364%5Cpi%7D%7B3%7D)
Answer:
- 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x - 
← is in slope- intercept form
with slope m = - 1
Parallel lines have equal slopes
Thus the slope of line d is - 1
