The value of x is 34, m∠S = 38° and m∠T = 111°.
Solution:
Given RST is a triangle.
m∠R = 31°, m∠S = (x + 4)° and m∠T = (3x + 9)°
<em>Sum of the angles of a triangle = 180°</em>
m∠R + m∠S + m∠T = 180°
⇒ 31° + (x + 4)° + (3x + 9)° = 180°
⇒ 31° + x° + 4° + 3x° + 9° = 180°
⇒ 44° + 4x° = 180°
Subtract 44° from both sides.
⇒ 4x° = 136°
Divide by 4 on both sides.
⇒ x° = 34°
⇒ x = 34
m∠S = (x + 4)°
= (34 + 4)°
m∠S = 38°
m∠T = (3x + 9)°
= (3(34) + 9)°
m∠T = 111°
Hence the value of x is 34, m∠S = 38° and m∠T = 111°.
Answer:
y = -7/4x - 11
Step-by-step explanation:
formula is y = mx + b
m is the slope
b is the y intercept
y = -7/4x -11
which is the first one
I assume the question is how full was the box originally. The answer to which is found by givin noth a common denominator, then adding them together
Answer:
x=2
Step-by-step explanation:
4/1 x - 3 = 3/2 x + 2
4x-3=1.5x+2
4x-1.5x-3=1.5x-1.5x+2
2.5x-3=2
2.5x-3+3=2+3
2.5x=5
2.5x/2.5=5/2.5
x=2
~~~~~~~~~~~~~~~~~~~~~~~~~~
To cheak it
4*2-3=5
1.5*2+2=5
Part A:
Cory f(x)=
f(x) = 15 x 1.2x
Roger f(x)= 40 + x
Part B
Cory
f(6)=15 x 1.2(6) = 44.79 =44
Roger
f(6) = 40 +6 =46
Part c
Cory =Roger
15 x 1.2 x = 40 +x
18x =40 +x
17x =40
x=40/17
x=2.35