.Write a system of inequalities that

Mathematics

1 answer:

Tom [10]3 years ago

5 0

Answer:THE X IS AWESOME

Step-by-step explanation:

You might be interested in

Which equation will equal a rational number

Assoli18 [71]

The answer is c.4a4

6 0

3 years ago

Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any rotational symmetry

Sophie [7]

Answer:

see below

Step-by-step explanation:

Clearly, if you turn the figure sideways or upside down (rotate 90° or 180°), you do not have the same figure. It has no rotational symmetry.

However, if you reverse it left-to-right, you get exactly the same figure. So, it has line symmetry about a vertical center line.

5 0

3 years ago

Given:

diamong [38]

Answer:

10-5 $\sqrt{2}$

Step-by-step explanation:

As per the attached figure, right angled $\triangle MDL$ has an inscribed circle whose center is $I$ .

We have joined the incenter $I$ to the vertices of the $\triangle MDL$ .

Sides MD and DL are equal because we are given that $\angle M = \angle L = 45 ^\circ.$

Formula for <em>area</em> of a $\triangle = \dfrac{1}{2} \times base \times height$

As per the figure attached, we are given that side <em>a = 10.</em>

Using pythagoras theorem, we can easily calculate that side ML = 10 $\sqrt{2}$

Points P,Q and R are at $90 ^\circ$ on the sides ML, MD and DL respectively so IQ, IR and IP are heights of $\triangle$ MIL, $\triangle$ MID and $\triangle$ DIL.

Also,

$\text {Area of } \triangle MDL = \text {Area of } \triangle MIL +\text {Area of } \triangle MID+ \text {Area of } \triangle DIL$

$\dfrac{1}{2} \times 10 \times 10 = \dfrac{1}{2} \times r \times 10 + \dfrac{1}{2} \times r \times 10 + \dfrac{1}{2} \times r \times 10\sqrt2\\\Rightarrow r = \dfrac {10}{2+\sqrt2} \\\Rightarrow r = \dfrac{5\sqrt2}{\sqrt2+1}\\\text{Multiplying and divinding by }(\sqrt2 +1)\\\Rightarrow r = 10-5\sqrt2$