Answer:
See below
Step-by-step explanation:
2......................
∠PQR and ∠RQS are supplementary, which add up 180°
- ∠PQR = 3x - 5
- ∠RQS = x + 1
<u>Sum:</u>
- 3x - 5 + x + 1 = 180
- 4x - 4 = 180
- 4x = 184
- x = 46°
3......................
- ∠PQR = 3x - 5 = 3*46° - 5° = 138° - 5° = 133°
4......................
From the picture and the value of x we got above:
- ∠RQS = x + 1 = 46 + 1= 47°
QT bisects ∠RQS and we get two equal angles
<u>Each will measure:</u>
5......................
LM = 5, LN = 17, MN = ?
<u>If L is between M and N, then</u>
- MN = LM + LN = 5 + 17 = 22
<u>M is between L and N, then</u>
- MN = LN - LM = 17 - 5 = 12
5......................
<u>Ray BD bisects ∠ABC, then formed angles are equal:</u>
- m∠DBC = x + 6
- m∠ABD = 2x - 12
m∠DBC = m∠ABD
- x + 6 = 2x - 12
- 2x - x =6 + 12
- x = 18°
Answer:
15, 25, 45, 75, 115, 165.
Step-by-step explanation:
pattern. So then you just stick the 5s back on 15, 25, 45, 75, 115, 165.
Answer:

Step-by-step explanation:
Consider f(x)=sinx
We need to find the period of f(x)
We know that the period of sinax is 
Here f(x)=sinx⇒a=1
Therefore period of the function f(x)=sinx is 2π
Answer:
9
Step-by-step explanation:
you find the percentage that is no, 2/8 would be 25% then take 25% of 36 to find the amount of students that are traveling.
Answer:
———————
6.75 feet |
———————
Step-by-step explanation:
Let the width be x. If the width is x, the the length has to be 3x because in the question it says that the length is 3 times the width.
Since this is a rectangle, the opposite side has the same measure, like in the attachment below.
To find the perimeter, you would add up all the sides.
3x+3x+x+x
=6x+2x
=8x
It is also given in the question that he uses 18 feet. Which means that the perimeter is 18 feet. But you figured out that 8x is ALSO the perimeter. This means that you can say: 8x=18.
Solve for x, 18/8=9/4=2.25.
You want the length, which is 3x. So 3(2.25) is your answer.
3(2.25) = 6.75