Answer:
By using the rule that the interior angles of any triangle equal 180 we see that:
m<ABC+m<CAB+m<ACB=180°
Therefore,
(2x+15)+(x+10)+(3x+5) = 180°
Now we have an equation and can solve for x:
Combine like terms:
(2x+15)+(x+10)+(3x+5) = 180°
6x+30=180°
6x+30-30=180-30
6x=150
x=25
To check our work just plug in 25 for x in each equation and the sum of those answers should add up to 180:
2x+15
2(25)+15
65
x+10
25+10
35
3x+5
3(25)+5
75+5
80
65+35+80=180
x=25 is valid
Step-by-step explanation:
Answer:
3 7/50
Step-by-step explanation:
so you need them to become common denominators
a common multiple they both have would be is 77
6/7 becomes 66/77 and 3/11 becomes 21/77
now we divide
keep the 66/77 as is and flip 21/77 (keep, change, flip)
so now our equation looks like this: 66/77 x 77/21
and your answer is 3.14
but as a fraction it is 157/50 and to simplified it would be 3 7/50 (mixed fraction)
Answer:
Given statement is TRUE.
Step-by-step explanation:
Given that line segment JK and LM are parallel. From picture we see that LK is transversal line.
We know that corresponding angles formed by transversal line are congruent.
Hence ∠JKL = ∠ MLK ...(i)
Now consider triangles JKL and MLK
JK = LM {Given}
∠JKL = ∠ MLK { Using (i) }
KL = KL {common sides}
Hence by SAS property of congruency of triangles, ΔJKL and ΔMLK are congruent.
Hence given statement is TRUE.
Step-by-step explanation:
The product 1/8 times 8 to the square root
Answer:
14,168
Step-by-step explanation:
15400
Find 1% and times it by 8
Take away 8% from 15400
15400-1232=14168
