Answer:
1.15
Step-by-step explanation:
tan θ=−4/7, and 270°<θ<360°
θ is in 4th quadrant
sec θ = 8.06 / 7 = 1.15
Answer:
![MP = 29](https://tex.z-dn.net/?f=%20MP%20%3D%2029%20)
Step-by-step explanation:
Given:
![MN = 17](https://tex.z-dn.net/?f=%20MN%20%3D%2017%20)
![NP = 3y](https://tex.z-dn.net/?f=%20NP%20%3D%203y%20)
![MP = 5y + 9](https://tex.z-dn.net/?f=%20MP%20%3D%205y%20%2B%209%20)
(segment addition postulate)
(substitution)
(subtracting 17 from each side)
![3y = 5y + 8](https://tex.z-dn.net/?f=%203y%20%3D%205y%20%2B%208%20)
(Subtracting 5y from both sides)
![-2y = 5y - 8 - 5y](https://tex.z-dn.net/?f=%20-2y%20%3D%205y%20-%208%20-%205y%20)
![-2y = - 8](https://tex.z-dn.net/?f=%20-2y%20%3D%20-%208%20)
(dividing both sides by -2)
![MP = 5y + 9](https://tex.z-dn.net/?f=%20MP%20%3D%205y%20%2B%209%20)
Plug in the value of y
![MP = 5(4) + 9 = 20 + 9](https://tex.z-dn.net/?f=%20MP%20%3D%205%284%29%20%2B%209%20%3D%2020%20%2B%209%20)
![MP = 29](https://tex.z-dn.net/?f=%20MP%20%3D%2029%20)
Answer:
You would get $40.52 back.
Step-by-step explanation:
1.50+1.99+5.99
$9.48
50-9.48=40.52
You would get $40.52 back.
Answer:
The angle measures that are correct are m<2 = 125degrees, m<8 = 55 degrees and m<14 = 100 degrees
Given the following angles from the diagram;
m<5 = 55 degrees
m<9 = 80degrees
From the diagram
m<5 = m<1 = 55 degrees (corresponding angle)
m<1 + m<2 = 180 (sum of angle on a straight line)
Hence;
55 + m<2 = 180
m<2 = 180 - 55
m<2 = 125degrees
Also;
m<5 = m<8 = 55 degrees (vertically opposite angle)
m<9 = m<13 = 80degrees
m<13 + m<14 = 180
Hence;
80 + m<14 = 180
m<14 = 180 - 80
m<14 = 100 degrees
Hence the angle measures that are correct are m<2 = 125degrees, m<8 = 55 degrees and m<14 = 100 degrees
Step-by-step explanation:
Answer:
Is there more information?
Step-by-step explanation: