If the triangle is a right triangle, then
(3x)² + x² = (10)² .
9x² + x² = 100
10x² = 100
x² = 10
x = √10 = approx. 3.1622...
If ' x ' is <em>anything less than √10</em> , then the short sides are too short
to make a right angle at the top, and the angle where they meet
is obtuse.
' x ' has to be greater than 2.5 ... otherwise the two short sides
can't stretch far enough to reach both ends of the long side (10) .
So, if 2.5 < x < √10 , then there is a triangle, and it's obtuse.
Divide the miles by the gallons used for each car to find the miles per gallon, then compare them:
Blue car: 18 2/5 miles / 0.8 gallons = 23 miles per gallon.
Red car: 17 2/5 miles / 0.7 gallons = 24.86 miles per gallon.
The red car can travel farther on 1 gallon of gas.
Answer: A
Step-by-step explanation:
A rhombus is a quadrilateral with all sides equal in length. A square is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a rhombus is not a square unless the angles are all right angles. ... A square however is a rhombus since all four of its sides are of the same length.
A square is a quadrilateral with all four angles right angles and all four sides of the same length. So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles.
Answer:
Step-by-step explanation:
If we take the below diagram for the given triangles, then ∠B=∠E and ∠A=∠G if AB=GE or if BC=EF, then corresponding angles will be equal.
Therefore, if we rotate the diagram, then also the angles will remain the same.
Answer:
Step-by-step explanation:
Alright, lets get started.
The surface area of the figure given is : The area of all shapes together
The figure has 2 similar triangles and 3 similar rectangles.
The area of 1 triangle =
The area of 1 triangle = 
So, the area of both triangles = 
The area of 1 rectangle = 
The of 1 rectangle = 
So, the area of all 3 rectangles = 
So, total area of figure = 
hence the surface area is 536.6 square centimeters : Answer
Hope it will help :)
