Answer:
Option (B)
Step-by-step explanation:
From the given picture,
Given:
Two lines PM and QR are intersecting each other at a point N.
∠NMR ≅ ∠NPQ
NR ≅ QN
To prove:
ΔMNR ≅ ΔPNQ
Statements Reasons
1). NR ≅ QN 1). Given
2). ∠NMR ≅ ∠NPQ 2). Given
3). ∠MNR ≅ ∠PNQ 3). Definition of vertical angles
4). ΔMNR ≅ ΔPNQ 4). AAS theorem of congruence
Therefore, Option (B) will be the correct option.
Answer:
120 degrees so answer b
Step-by-step explanation:
the opposite angles in the shape are equal so <klm = <kjm. this means the answer is the same as the sum of the other sides so 78 + 42 which is 120 degrees
Given
Your family has a circular swimming pool.
The radius of the pool is 9 feet and and its depth is 4 feet.
Find out the volume of the pool.
To proof
As depth is given in the question that means the shape of the swimming pool
is cylinder.
Formula

where r = radius
h = height
now
radius of the pool is 9 feet and and its depth is 4 feet.
put all the values in the above equation
we get

use 3.14 to approximate pi

we get
= 1017.4 ( approx )feet²
Hence proved
The question is asking us to determine the number of rows in which Sam can arrange his 12 black and white and 18 color photos. Sam wants to put them in the equal rows so that each row has either black and white photos only or color photos only. We have to find the GCF ( the Greatest Common Factor ) of 18 and 12. GCF ( 18, 12 ) = 6. So there should be 6 photos in each row if they have to be equal ( the equal number of photos in every row ). 18 = 6 * 3 and 12 = 6 * 2. Therefore the number of the rows is : 3 + 2 = 5. Answer: Sam can arrange his photos in 5 rows<span>. </span>
The answer to this would be 3/8.
you just simplify the given terms, so -1 7/8 can be simplified into -15/8 and 2 1/4 can be simplified into 9/4, add those together to get a sum of 3 over 8 or 3/8.
Good Luck