Answer:
The sum of the interior angles of any triangle are equal to 180
therefore in this triangle, m<a+m<c+m<b=180
we know that 9x-26 and m<a are supplementary angles (meaning they add to 180) and therefore,
9x-26+a=180
9x+a=206
a=206-9x
(206-9x)+(2x-12)+(4x+43)=180
combine like terms
-3x+237=180
-3x=-57
x=19
if x=19 then we can substitue it in for c
4x+43=c
4(19)+43=c
c=119
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
We know that the total angle measure of a triangle is 180 degrees, so the sum of all the angles should be 180 degrees.
Therefore, we can add all the angles, set them equal to 180 and solve for x
2x+5 + 6x-5 + 7x = 180
We can combine all the x terms and all the numerical terms on the left side of the equation to get:
(2x+6x+7x) + (5-5) = 180
15x = 180
Then we can divide both sides by 15 to isiolate x
15x = 180
x = 180/15 = 12
Answer:
64 km/hr
Step-by-step explanation:
216 - 56 = 160 km on good road
216km / 48 km/hr = 4.5 hours total time
56 km / 28 km/hr = 2 hours on bad road
then 2.5 hours on good road ( for total 4.5 hrs)
160 km / 2.5 hr = 64 km/hr on the good road portion
Answer:
$200
Step-by-step explanation:
Consider the original price be x
As per the question
Solving the equation yields:
- ⇒0.7x=140
- ⇒0.7x/0.7=140/0.7
- ⇒x=1400/7
- ⇒x=200
In conclusion
the original price of the jacket was $200
