Answer:
x = 34
∠S = 38
∠T = 111
Step-by-step explanation:
Angles in a triangle add up to equal 180
If ΔRST is a triangle and ∠R, ∠S and ∠T are angles in that triangle
Then ∠R + ∠S + ∠T = 180
That being said we want to create an equation to solve for x
If angles in a triangle have a SUM of 180
Then, 31 + x + 4 + 3x + 9 = 180
We now solve for x
Step 1 combine like terms
31 + 4 + 9 = 44
x + 3x = 4x
we now have 44 + 4x = 180
step 2 subtract 44 from each side
44 - 44 cancels out
180 - 44 = 136
We now have 136 = 4x
Step 3 divide each side by 4
4x / 4 = x
136 / 4 = 34
We're left with x = 34
Now we want to find the measures of ∠S and ∠T
To do so, we substitute 34 for x in their given expression
∠S = x + 4
* substitute 34 for x *
∠S = 34 + 4
34 + 4 = 38
Thus ∠S = 38°
∠T = 3x + 9
* substitute 34 for x *
∠T = 3 ( 34 ) + 9
34 * 9 - 102
102 + 9 = 111
Thus, ∠T = 111°
Distribute
(x-3)(x+9)=-27
x^2+6x-27=-27
add 27 to both sides
x^2+6x=0
factor out x
x(x+6)=0
set each to zero
x=0
x+6=0
x=-6
x=0 and or -6
x=-6 or 0
Part A: subtract 30 from both sides to get -vp<45. Then divide both sides by -v and flip the signs to get p>45/-v
Part B: subtract 3w from both sides to get -6r=30. Then divide -6 by both sides to get 3w/-6-5=r
Answer:
False
Step-by-step explanation:
H=8
8-2>6
Simplify
8-2=6
6>6
It should be 6=6
