Answer:
measure of angle F= 109 degrees
Step-by-step explanation:
I believe by m you are solving for angle F. So, angle H =71 degrees. GF and HI are parallel. In order to find angle G, Take the supplementary of 71 degrees, so 180-71 = angle G =109 degrees. Because GH and FI are congruent, the angles should be same across the shape, so angle I 71 degrees. Quadrilateral has a total of 360 degrees, so, 360-71-109-71=109 degrees. In general, angke G would equal angle F because of the trapezoid properties that take place when both bases are parallel and two of the sides are congruent, the trapezoid is an isosceles trapezoid
<h3>Given:</h3>
- w= 6 units
- h= 6 units
- l= 10 units
<h3>Note that:</h3>
- w: width
- h: height
- l: length
<h3>To find:</h3>
- The volume of the given triangular prism.
<h3>Solution:</h3>
- Triangular prism is a 3 sided prism with same area of cross section with 2 triangular bases.
Let's solve!
First, let's multiply width and height.
Now, we'll have to divide the answer by 2.
Then, multiply the answer by length.
<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>triangular</u><u> </u><u>prism</u><u> </u><u>is</u><u> </u><u>1</u><u>8</u><u>0</u><u> </u><u>cubic</u><u> </u><u>units</u><u>.</u>
Answer:
1) Distance=Speed*time
90=(x+1)*(x)+(2x+5)(x-1)
90=x^2+x+2x^2-2x+5x-5
3x^2+4x-95=0
2) 3x^2+4x-95=0. Using quadratic formula, we get
x=(-4±sqrt(16-4*3*(-95)<u>)</u>)/6, x=5 or - 19/5 but since x also represents time, it can't be negative.
3) Total time take she took for the journey is x+x-1=2x-1=2*5-1=9 hours
