Answer:
Step-by-step explanation:
- <em>Refer to attached diagram</em>
<h3>Given </h3>
- MN = NQ
- MQ = QR = RP
- NMR = 3x
- QMR = x
<h3>To find</h3>
<h3>Solution</h3>
- MN = NQ ⇒ ∠MRN = ∠QMN = 3x+x = 4x
- MQ = QR ⇒ ∠MRQ = ∠QMR = x
<u>RQP is exterior angle of ΔMQR ⇒ </u>
<u>QR = RP ⇒ </u>
<u>∠QRN is exterior angle of ΔQRP ⇒ </u>
- ∠MRN = ∠QRN - ∠QRM = 4x - x = 3x
<u>∠MRN = ∠NMR = 3x ⇒ </u>
<u>NR = MQ ⇒ </u>
<u>We now have a straight angle MQP:</u>
- ∠MQP = ∠MQN + ∠RQN + ∠RQP
- 180° = 4x + 4x + 2x
- 10x = 180°
- x = 18°
Correct choice is C
Answer:
x = 14
Step-by-step explanation:
I don't know which one you are supposed to solve it by so I will do both.
Solution by Cross Multiplication
For the equation
7x=24
The cross product is
7×4=x×2
Solving for x
x=7×42
and reducing
x=14
Solution by Proportion
Since the equation is an equality
If
7 ÷ 2 = 3.5
Then it is true that
x ÷ 4 = 3.5
Solving for x
x = 4 × 3.5
x = 14
There are 514 gram rice in each container.
Step-by-step explanation:
Given,
Amount of rice = 6 kg
1 kg = 1000 g
6 kg = 6*1000 = 6000 g
Number of containers = 10
Rice left = 860 g
Let,
x be the amount in each container.
Total amount of rice - Number of containers*Amount in each container = Amount of rice left

Dividing both sides by 10

There are 514 gram rice in each container.
Keywords: linear equation, division
Learn more about division at:
#LearnwithBrainly
Answer:
13M+27
Step-by-step explanation: