Step-by-step explanation:
Actual graph for this problem is attached below
m∠TUV = 167°
m∠TUL = (x + 11)°
m∠LUV = (11x)°
m∠TUV=
m∠TUL+
m∠LUV
now plug in the angles for each
m∠TUV=
m∠TUL+
m∠LUV

solve the equation for x

Subtract 11 from both sides

divide both sides by 12
x=13
m∠TUL = (x + 11)°
m∠TUL = (13+ 11)°
= (24)°
answer:
24°
<span>y = –x + 6
y = 2x – 3 There you go!
</span>
Answer: he will need 355.68 centimeters³ of sand to fill half of the sandbox
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × base × height
It can also be expressed as
Volume = base area × height
The area of the base of the sandbox is 124.8 square centimeters, and it will have a height of 5.7 centimeters. This means that the volume of the sandbox is
124.8 × 5.7 = 711.36 centimeters³
Since Mr. Berger plans to fill the sandbox half full of sand, the volume of sand he will need to fill half of the sandbox is
711.36/2 = 355.68 centimeters³
Answer:
c) alternate hypothesis
Step-by-step explanation: