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What is the value of x?

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x =

Answers

Answer 1

Answer:

Answer:

x-4+3x+100=180....by angle sum property

4x=84

x=21

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20 POINTS! You are planning to use a ceramic tile design in your new bathroom. The tiles are equilateral triangles. You decide to arrange the tiles in a hexagonal shape as shown. If the side of each tile measures 9 centimeters, what will be the exact area of each hexagonal shape?

Answers

Answer:

210.33 cm^2

Step-by-step explanation:

We know that 6 equilateral triangles makes one hexagon.

Also, an equilateral triangle has all its sides equal.

If the tile of each side of the triangular tile measure 9 cm, then the height of the triangular tiles can be gotten using Pythagoras's Theorem.

The triangle formed by each tile can be split along its height, into two right angle triangles with base (adjacent) 4.5 cm and slant side (hypotenuse) of 9 cm. The height (opposite) is calculated as,

From Pythagoras's theorem,

$hyp^(2) = adj^(2) + opp^(2)$

substituting, we have

$9^(2) = 4.5^(2) + opp^(2)$

81 = 20.25 + $opp^(2)$

$opp^(2)$ = 81 - 20.25 = 60.75

opp = $√(60.75)$ = 7.79 cm this is the height of the right angle triangle, and also the height of the equilateral triangular tiles.

The area of a triangle = $(1)/(2) bh$

where b is the base = 9 cm

h is the height = 7.79 cm

substituting, we have

area = $(1)/(2)$ x 9 x 7.79 = 35.055 cm^2

Area of the hexagon that will be formed = 6 x area of the triangular tiles

==> 6 x 35.055 cm^2 = 210.33 cm^2

Cual es el valor de x en
5x+5=3x+27

Answers

11 is the value of x. hope this helps you

SHOW WORK! PLEASE HELP ASAP IF YOU CAN :(A stack of index cards is 3/4 of an inch tall. If each card is 3/160 of an inch thick, how many index cards are in the stack?

Answers

Answer:

so what you have to do first is simplify into variables

S=A 3/4 stack of index cards

C= 3/160

first you can do this with a calculator, divide 3/4 of an inch by 3/160 of an inch.

3/4÷3/160=40

Here is my work shown :)

Male the division into multiplication and swap the numbers in 3/160 to 160/3

3/4 x 160/3

For fraction multiplication, multiply the numerators and then multiply the demoninators to get

3 x 160/4 x 3= 480/12

Divide 480 by 12 which is forty

there you go :) sorry if the answers are messed up and there are spelling errors. but in conclusion the answer is 40

By the way, awesome pfp, I just started watching Toilet Bound Hanako earlier tonight and it's very good so far

find the least number of sweets that can be packed into polythene bags which contain either 9or 15 or 20 or 24 sweets with none left over

Answers

Answer:

i think 15

Step-by-step explanation:

Please help

13 through 16

Answers

Answer:

13. C

14. B

15. C

16. D

Step-by-step explanation:

out of 10 student, the favorite drink of 7 is Coke and the favorite drink of of the rest is fanta. a teacher picks a student at random. what is the probability that the favorite drink of the student is (a) Coke (b) fanta (c) neither Coke nor fanta (d) either Coke or fanta