Maths-

General

Easy

Question

List the sides and the angles in order from smallest to largest

hint Hint:

In triangle, the angle opposite to longest side is largest.

In triangle, the side opposite to smallest angle is shortest.

Sum of angles in the triangle is 180o.

The correct answer is: In △RPQ, Sides shortest to longest are AB < AC < BC. Angles smallest to largest are ∠ACB < ∠ABC < ∠BAC.

Answer:

Step by step explanation:

Given:

In △ABC,
∠ABC = 57^o
∠BAC = 90^o
∠ACB = 180 – (90 + 57) { as sum of angles is 180 }
∠ACB = 180 – 147 = 33^o

Step 1:

Arrange angles in increasing order.
In △ABC,
∠ACB < ∠ABC < ∠BAC

Step 2:

angle opposite to ∠ACB is AB.
side opposite to ∠ABC is AC.
side opposite to ∠BAC is BC.
As,
∠ACB < ∠ABC < ∠BAC
(We know that, in triangle, the angle opposite to longest side is largest.)
∴ AB < AC < BC
Hence, in △RPQ,
sides shortest to longest are
AB < AC < BC

Final Answer:

In △RPQ,
Sides shortest to longest are AB < AC < BC.
Angles smallest to largest are ∠ACB < ∠ABC < ∠BAC.

Explain whether this graph represents a function ?

In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function

Use elimination to solve the system of equations.
$y equals negative x squared plus 4 x plus 2$
$y equals 2 minus x$

For any equation of the form: $x squared plus left parenthesis a plus b right parenthesis x plus a b$ , the solutions are: $x equals negative a straight & x equals negative b$

Use elimination to solve the system of equations.
$y equals negative x squared plus 4 x plus 2$
$y equals 2 minus x$

Maths-General

For any equation of the form: $x squared plus left parenthesis a plus b right parenthesis x plus a b$ , the solutions are: $x equals negative a straight & x equals negative b$

General

Maths-

Explain whether this graph represents a function ?

Maths-General

General

Maths-

Solve -2(4x-2)<-8x+4

Maths-General

General

Maths-