Nothing else is given, so for the two triangles to be congruent, the only possible proof is the ASA theorem.
first pairs of angles: 2x+7=x+21 => x=14
second pairs of angles: 8y-4=4y+28 =>y=8
The two triangles share the same side PR
Based on the Angle-Side-Angle Triangle Congruence theorem, these two triangles are congruent with x=14, y=8
(2x+7) +(8y-4) +Q=180 =>85
They all have to have common denominators
The common denominator is 32
3/4= multiply by 8/8= 23/32
3/16= multiply by 2/2= 6/32
11/32. Is. 11/32
1/8 multiply by 4/4 =. 4/32
Smallest to greatest is 1/8. 3/16. 11/32. 3/4
Answer:
.8
Step-by-step explanation:
5 red marbles, 2 Green marbles and 3 black marbles = 10 marbles
P (red or black) = number of red or black/ total
= (5+3)/10
=8/10
decimal form = .8
Answer:
hence g(x) is increasing at point x= 3+14i,3-14i
Step-by-step explanation:
given, g(x)=x^3-(8+1)x^2-4(9+2)x+5x2-1
g(x)=x^3-9x^2-44x+10x-1
g(x)=x^3-9x^2-34x-1
=3x^2-18x-34
for increasing and decreasing function,
3x^2-18x-34=0
x=3+14i 
0
x=3-14i 0
hence g(x) is increasing at point x= 3+14i,3-14i answer
