Answer:
|SQ|=5
Step-by-step explanation:
If S is the median, then OP is a median of triangle OMN.
This implies that:
|MP|=|NP|

We group like terms and solve for x.



Now we know that: MN:SQ=2:1
But MN=2x+2
This implies that:
2x+2:SQ=2:1
Put x=4
2(4)+2:SQ=2:1
10:SQ=2:1
Therefore |SQ|=5
A mean is the total of all numbers/ how many numbers there are.
A median is a middle number. An equation you can use is (x+1/2). x is how many numbers there are
Answer:
30 students
100 ÷ 20 = 50
60 ÷ 2 = 30 students
30 of the 50 students are 12 years old.
Step-by-step explanation:
60% of 50
60 : 100
X : 50
60/100 × 50
3/5 × 50 = 30
Answer: 78°
Step-by-step explanation:
Looking at the picture, we can tell that ∠ACD and ∠DCB are supplementary angles. This means, they are equal to 180°. With that, we can find x and plug it into ∠DCB.
4x+2+3x+3=180 [combine like terms]
7x+5=180 [subtract both sides by 5]
7x=175 [divide both sides by 7]
x=25
Now that we know x=25, we can plug it in to find ∠DCB.
3(25)+3 [multiply]
75+3 [add]
78
Now, we know ∠DCB is 78°.
Perimeter: 30units
Area: 30units^2
Explanation: Checked with calc!