Answer:
THE CORRECT OPTION IS A) Δ ABC
Δ BDC
Δ ADB
Step-by-step explanation:
The first option is in correct order of triangle ,we can easily the their sides are proportionate . And having eqal angles.
Answer:
Largest possible length is <em>21 inches</em>.
Step-by-step explanation:
Given:
Total material available = 60 inches
Length to be 3 more than twice of width.
To find:
Largest possible length = ?
Solution:
As it is rectangular shaped frame.
Let length =
inches and
Width =
inches
As per given condition:
..... (1)
Total frame available = 60 inches.
i.e. it will be the perimeter of the rectangle.
Formula for perimeter of rectangle is given as:

Putting the given values and conditions as per equation (1):

Putting in equation (1):

So, the answer is:
Largest possible length is <em>21 inches</em>.
Answer:
A, F, and C are the correct options.
Step-by-step explanation:
Answer:
-66.66666667 percent
Step-by-step explanation:
Where: 57 is the old value and 19 is the new value. In this case we have a negative change (decrease) of -66.66666667 percent because the new value is smaller than the old value.
Answer:
The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
Step-by-step explanation:
Let us consider the image attached.
Center of circle be O.
Arc AB subtends the angle
on the circle and
on the center of the circle.
To prove:

Proof:
In
: AO and PO are radius of the circles so AO = PO
And angles opposite to equal sides of a triangle are also equal in a triangle.
So, 
Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.

Similarly,
In
: BO and PO are radius of the circles so BO = PO
And angles opposite to equal sides of a triangle are also equal in a triangle.
So, 
Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.

Now, we can see that:

Using equations (1) and (2):

Hence, proved.