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:
3
Step-by-step explanation:
Key Word: 12 servings for every 5 people. if she makes it to hold 8 servings, what is enough plans she needs to feed 10 people?
formula: so 12 for 5 then 24 for 10.
solving problem:
12 people over 5 people = x over 10 people
since 5 times 2 equals 10 then 12 times is 24.. so we need 24 servings
we know from reading the question that each pan makes 8 servings.
ANSWER : 3
Answer:
x = 2.67°
GKJ = 40°
Step-by-step explanation:
Angle HKJ = 6x + 4
Angle HKG = 9x - 4
Segment bisects Angle GKJ, it means that angle HKJ is the same as angle HKG.
You have the measure of both angles in terms of x.
Angle HKJ = Angle HKG
6x + 4 = 9x - 4
4 + 4 = 9x - 6x
8 = 3x
2.67 = x
Angle HKJ:
6(2.67) + 4 = 20°
Angle HKG:
9(2.67) - 4 = 20°
Angle GKJ = HKJ + HKG = 20 + 20 = 40°
8x - 3x - 7 = 23
5x - 7 = 23
5x = 30
x = 30/5 = 6
Answer:
15
Step-by-step explanation:
