All categories

2 years ago

Drag a vertex of the triangle to change its shape.

Mathematics

1 answer:

likoan [24]2 years ago

8 0

Answer:

The correct option is;

45°

Step-by-step explanation:

By angle sum theorem, we have that the sum of angles in a triangle = 180°

Therefore, we have;

When the interior angles of the triangle are constructed to be 60° and 75°, we have by the angle sum theorem;

The third angle + 60° + 75° = 180°

Which gives;

The third angle = 180°- 60° - 75° = 180°- 135° = 45°

The measurement of the third angle by the angle sum theorem will be 45°

The correct option is ∠third angle = 45°.

You might be interested in

Find each absolute value | 4+2i | | 5-i | | -3i |

galina1969 [7]

How to get answer for number 1: | 4+2i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=4,\:b=2\\=\sqrt{4^2+2^2}\\Refine\\=\sqrt{20}\\\sqrt{20}=2\sqrt{5}\\=2\sqrt{5}$

How to get answer for number 2: | 5-i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=5,\:b=-1\\=\sqrt{5^2+\left(-1\right)^2}\\=\sqrt{26}$

Number 3 how to get answer: | -3i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=0,\:b=-3\\=\sqrt{0^2+\left(-3\right)^2}\\Refine\\=\sqrt{9}\\\sqrt{9}\\\mathrm{Factor\:the\:number:\:}\:9=3^2\\=\sqrt{3^2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a\\\sqrt{3^2}=3\\= 3$

4 0

2 years ago

Read 2 more answers

Find the volume of the composite figure. please!

Irina-Kira [14]

Volume= Length * width ( aka Base ) * height

Break up the figure into easier figures, a small square and a bigger square.

Small square- 3*2*1 = 6 cm

Large Square- 7*6*1 = 42 cm

42 + 6 = 48 cm. But wait! You have to take one more step, which is minus-ing 6 from 48. Why? Notice that there is a little area where a side of the small square meets the bigger square. That little area is worth 3 cm ( length is 3, height is 1 cm ) times 2 ( 3 cm is one side, another 3 cm is the other side from the other square ) = 6 cm.

Your total answer should be 42. ( or 48, if your teacher doesn't count the area where the squares meet/join together ).

3 0

3 years ago

Read 2 more answers

144=12x 45 =4x-27 2x-2=14 12x=44-10x does any one kno these questions?

Free_Kalibri [48]

Hello russell6333!

$\huge \boxed{\mathfrak{Question} \downarrow}$

Solve for x.

144 = 12x
45 = 4x - 27
2x - 2 = 14
12x = 44 - 10x

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$1) \: \: \: 144 = 12x \\ \frac{144}{12} = x \\ \boxed{ \boxed{ \bf12 = x}}$

__________________

$2) \: \: \: 45 = 4x - 27 \\ 45 + 27 = 4x \\ 72 = 4x \\ \frac{72}{4} = x \\ \boxed{ \boxed { \bf18 = x }}$

__________________

$3) \: \: \: 2x - 2 = 14 \\ 2x = 14 - 2 \\ 2x = 12 \\ x = \frac{12}{2} \\ \boxed{ \boxed{ \bf \: x = 6}}$

__________________

$4) \: \: \: 12x = 44 - 10x \\ 12x + 10x = 44 \\ 22x = 44 \\ x = \frac{44}{22} \\ \boxed{\boxed{ \bf \: x = 2}}$

__________________

To solve questions of these sorts, bring all the terms to one side & simplify it leaving x alone in the other side of the equation (other side of the equal to sign). After simplification you'll get the value of x.
Remember that the signs & operations will change when you bring a term to the other side of the equation.
So, addition will become subtraction, subtraction will become addition, multiplication will become division & division will become multiplication.

__________________

Hope it'll help you!

ℓu¢αzz ッ

8 0

2 years ago

Read 2 more answers

One of your responsibilities as a line cook is to

vfiekz [6]

Answer: 72

Step-by-step explanation:

If all the sandwiches will have a slice of cheese, you just need to add up all of the sandwiches order (28 + 14 + 30 = 72)

5 0