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4 years ago

SOLVE for 50 POINTS ... First ANSWER = BRAINLIEST

Mathematics

1 answer:

sergiy2304 [10]4 years ago

3 0

Knowing that the tiles are regular polygons, we can deduce that each angle of the tile B is 60. Drawing a circle where a vertex of tile B is the center, we can also deduce that the major angle created by the sides of tile B is 300 because all central angles in a circle add up to 360. Since all A tiles are congruent (they are regular and share the same side), we know that their interior angles are also congruent. Since we know their interior angles add up to 300 (because 2 of their interior angles + 60 = 360), we can divide 300 by 2 to calculate each interior angle, which is 150. By subtracting 150 from 180, we get 30 which is the measure of each EXTERIOR angle of tile A. From basic geometry knowledge, we know that the sum of all exterior angles is 360. Using this, we can divide 360 by 30 to get 10 which is the number of sides of tile A.

Final Answer: Tile A has 10 sides, or in other words is decagon.

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triangle ABC is Isosceles CA and CB are equal AB is parallels to the x- axis. Work out the coordinate of A. Given that BC=5cm wo

BabaBlast [244]

Answer:

The perimeter of the triangle ABC is 17 cm.

Step-by-step explanation:

Consider the Isosceles triangle ABC.

The sides CA and CB are equal with measures, 5 cm.

The base angles are assumed to be x° each. Hence, the angle ACB is 2x°.

The altitude CP divides the base AB into two equal halves and the angle ACB is also cut into halves.

Consider the right angled triangle ACP.

The sum of all the angles in a triangle is 180°.

Determine the value of x as follows:

x° + x° + 90° = 180°

2x° = 90°

x° = 45°

Compute the length of side AP as follows:

$cos\ 45^{0}=\frac{AP}{CA}$

$\frac{1}{\sqrt{2}}=\frac{AP}{5}$

$AP =\frac{5}{\sqrt{2}}\\\\AP=3.5$

Then the length of side AB is:

AB = AP + PB

= 3.5 + 3.5

= 7 cm

The perimeter of triangle ABC is:

Perimeter = AB + CA + CB

= 7 + 5 + 5

= 17

Thus, the perimeter of the triangle ABC is 17 cm.

8 0

3 years ago

A triangle has side lengths 32 cm, 32 cm, and 50 cm.

Bogdan [553]

Answer:

Isosceles

Step-by-step explanation:

An isosceles has 2 equal sides, equilateral triangle has has all equal sides and the scalene has no equal sides

6 0

3 years ago

Read 2 more answers

Matthew is 3 times as old as jenny. in 7 years, he will be twice as old as she will be then. how old is each now? Explain how to

Nataliya [291]

Let m and j be the current ages of Matthew and Jenny, respectively.

Now, Matthew is 3 times as old as Jenny, so the variables are in the following relation:

$m=3j$

In 7 years, both of them will be 7 years older, i.e. their ages will be m+7 and j+7, and Matthew will be twice as old:

$m+7=2(j+7)$

Now, remembering that m=3j, we can rewrite the second equation as

$3j+7=2j+14 \iff j = 7$

So, Jenny is 7 and Matthew is 21 (he's 3 times older).

In fact, in 7 years, they will be 14 and 28, and Matthew will be twice as old.

7 0

3 years ago

For health reasons, Sarah needs to limit her fat intake to 25% of the total calories consumed in a day. If the fat intake is 550

8090 [49]

550 * 4 = 2200

Hope this helps !

4 0

3 years ago

Read 2 more answers

Faron wants to paint the four walls in his bedroom. The room measures 12 ft long, 10 ft wide and 8 ft high. There are two doors

Rainbow [258]

Answer:

319 square feet.

Step-by-step explanation:

The walls of the room (the ones on the long side) have an area of 12 x 8 = 96 square feet each one. Thus, their area is 96 x 2= 192 square feet.

The other two walls have an area of 10 x 8 = 80 square feet each one. Thus, their area combined is 80 x 2 = 160 square feet.

Therefore, we have that the total area of the four walls is

192 +160 = 352 square feet

However, we have a door and a window that won't be painted.

The area of the door is: 3 x 7 =21 square feet

The area of the window is 3 x 4 = 12 square feet

Thus, the total amount of area that won't be painted is

21 + 12 = 33 square feet.

So we are going to take the total area minus the area that won't be painted to know the total area that Faron will pain:

352 - 33 = 319 square feet.

Thus, she will paint 319 square feet

4 0

4 years ago