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3 years ago

What is the greatest number of rìght angles that a triangle can contain?

Mathematics

2 answers:

faltersainse [42]3 years ago

6 0

Answer:

There can Only be 1 Right angle in a Triangle!

Step-by-step explanation:

Triangles have 180 degrees in total, If You had Two Right Angles, Then it would equal 180, since there is three angles,three sides and etc on a triangle that won't work. In a Triangle you could have 1 right angle and Two 45 degree angles to get your total of 180 degrees and a complete Triangle!!

sergiy2304 [10]3 years ago

5 0

Answer:

Step-by-step explanation:

If there are 2 or more right angles in a triangle, it is impossible to connect without a fourth side, making it a square. There can only be 1 right angle in a triangle

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What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?

klemol [59]

Answer:

$(x-3)^{2} +(y-2)^{2}=41$

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(8,-2)\\E(-2,6)$

substitute the values

$d=\sqrt{(6+2)^{2}+(-2-8)^{2}}$

$d=\sqrt{(8)^{2}+(-10)^{2}}$

$d=\sqrt{164}\ units$

$d=2\sqrt{41}\ units$

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

$C=(\frac{8-2}{2},\frac{-2+6}{2})$

$C=(3,2)$

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

$(x-h)^{2} +(y-k)^{2}=r^{2}$

we have

(h,k)=(3,2)

$r=2\sqrt{41}/2=\sqrt{41}\ units$ ---> the radius is half the diameter

substitute

$(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}$

$(x-3)^{2} +(y-2)^{2}=41$

4 0

3 years ago

A bar graph shows that sports books received 9 votes . If the scale is 0 to 20 by twos, where should the bar end for the sports

Anna35 [415]

Check the picture below.

7 0

3 years ago

Find the value of x so that m||n

jasenka [17]

Answer:x=17

Step-by-step explanation:

Set 6x+5+5x-12 equal to 180

Simplify into 11x-7=180

Add 7 to both sides to get 11x=187

Divide both sides by 11 to get x=17

8 0

3 years ago

Read 2 more answers

an ice cube is made of 5 fluid ounces of water. about how may milliliters of water does it take to make an ice cube?

beks73 [17]

5 fluid ounces equals to 147.868 milliliters.

3 0

3 years ago

Read 2 more answers

In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f

olasank [31]

Given:
Cost to build a bookshelf = $20
Cost to build a table = $45
Amount available to spend = $600

Let x = number of bookshelves built.
Let y = number of tables built.

The total number of bookshelves and tables = 18.
Therefore
x + y = 18.
That is,
y = 18 - x (1)

The total amount available to build x bookshelves and y tables = $600. Therefore
20x + 45y = 600
That is (dividing through by 5),
4x + 9y = 120 (2)

Substitute (1) into (2).
4x + 9(18 - x) = 120
4x + 162 - 9x = 120
-5x = -42
x = 8.4
From (1),obtain
y = 18 - 8.4 = 9.6

Because we cannot have fractional bookshelves and tables, we shall test values of x=8, 9 and y=9,10 for profit

Note: The profit is $60 per bookshelf and $100 per table.
If x = 8, then y = 18-8 = 10.
The profit = 8*60 + 10*100 = $1480

If x = 9, then y = 18-9 = 9.
The profit = 9*60 + 9*100 = $1440

The choice of 8 bookshelves and 10 tables is more profitable.

Answer: 8 bookshelves and 10 tables.

5 0

3 years ago