Answer:
see explanation
Step-by-step explanation:
(a)
Sum the parts of the ratio , 1 + 2 + 3 = 6 parts
Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
Since there is an angle of 90° then the triangle is right.
(b)
The shortest side is the side opposite the smallest angle of 30°
Using the sine ratio and the exact value
sin30° = 
, then
sin30° = 
= 
= ( cross- multiply )
2 opp = 19 ( divide both sides by 2 )
opp = 9,5
Shortest side in the triangle is 9.5 cm
Actually, no they cannot. The midpoint is the single point at the very center of the line segment. Since no segment can have multiple centers, they cannot have more than a single midpoint. Sorry :3
Hope this helped!! :D
Answer:
440 miles
Step-by-step explanation:
Perimeter of a quadrilateral, P :
P = a + b + c + d
Which is the sum of all the sides ;
From the diagram attached ;
Perimeter of the quadrilateral is :
(170 + 160 + 80 + 30) = 440 miles
Answer:
<u>B. 7(x − 5)(y + 2)</u>
Explanation:
A. 7(2x − 5)(y + 2) = 14xy + 28x − 35y − 70 (Wrong)
<u><em>B. 7(x − 5)(y + 2) = 7xy + 14x − 35y − 70 (Correct)</em></u>
C. 7(x − 2)(y + 5) = 7xy <u>+</u> 35x− 14y − 70 (Wrong)
D. 7(x − 10)(y + 2) = 7xy + 14x − 70y − 140 (Wrong)
Let us assume the gas bill of Paul in February = x dollars
Then
Electric bill of Paul for the month of February = (x/2) + 3
Amount of Electricity bill of Paul for the month of February = $92
then we can write the equation as
(x/2) + 3 = 92
x/2 = 92 - 3
x/2 = 89
x = 89 * 2
= 178 dollars
So the gas bill of Paul in February is $178. I hope this is the answer you were looking for.
