Answer:The measure of angle RST is 120\°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m<RST=(6x+12)\° -----> equation A
m<RST=78\°+(3x-12)\° -----> equation B
equate equation A and equation B
(6x+12)\°=78\°+(3x-12)\°
Answer:
264
Step-by-step explanation:
Area= 1/2•b•h
=2(1/2)(b)(h)+3(b)(h)
=2(1/2)(6)(4)+3(16)(5)
=264
For the first one, I will solve for t.
s + 2t = 6, first we isolate the t variable,
2t = -s + 6, divide both sides by 2,
t = -s/2 + 3, < There's your answer for 1!
Here's the second one,
3s - 2t = 2, subtract 3s from both sides,
-2t = 2 - 3s, divide both sides by -2,
t = -1 + 3s/2 < There's your second answer!
Answer:
The answer to your question is 4.5
Step-by-step explanation:
Data
hypotenuse = h = 6
angle = α = 42°
adjacent side = DE
Process
Use trigonometric functions to solve this problem
1.- The trigonometric function that relates the adjacent side and the hypotenuse is cosine
Cosα = 
Solve for adjacent side = DE
DE = hypotenuse x cos α
Substitution
DE = 6 x cos 42
Simplification
DE = 6(0.74)
Result
DE = 4.5