I am not sure if I am correct.
I think that the angles did not help to solve the problem, ( it makes an obtuse angle)
and the unit rate is 421 mph and 384 mph.
2*421+384*2= 1610 miles
or
2 (421+384)= 1610 miles
Answer: 1610 miles
Answer:
Perimeter of shape,which is a convex polygon i.e quadrilateral = 24.2 in
Sides are 8.3 in, 8.3 in, 3.8 in ,and length of fourth side be x in.
As , Perimeter = Sum of all sides
→ 24.2 = 8.3 + 8.3 + 3.8 + x
→ 24.2 = 16.6 +3.8 + x
→ 24.2 = 20 .4 + x
Keeping like terms on one side, of equation
→ 24.2 - 20.4 = x
→ 3.8 = x
→ x = 3.8
So, length of fourth side = 3.8 in
The given shape is definately either a Parallelogram or a kite.
Answer:
m<Q = 133°
Step-by-step explanation:
From the question given above, the following data were obtained:
m<P = (x + 13)°
m<Q = (10x + 13)°
m<R = (2x – 2)°
m<Q =?
Next, we shall determine the value of x. This can be obtained as follow:
m<P + m<Q + m<R = 180 (sum of angles in a triangle)
(x + 13)° + (10x + 13)° + (2x – 2)° = 180
x + 13 + 10x + 13 + 2x – 2 = 180
x + 10x + 2x + 13 + 13 – 2 = 180
13x + 24 = 180
Collect like terms
13x = 180 – 24
13x = 156
Divide both side by 13
x = 156 / 13
x = 12
Finally, we shall determine m<Q. This can be obtained as follow:
m<Q = (10x + 13)°
x = 12
m<Q = 10(12) + 13
m<Q = 120 + 13
m<Q = 133°
