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3 years ago

If the m angle 2 = 113 what is the angle 6

Mathematics

1 answer:

dmitriy555 [2]3 years ago

8 0

m < 6 = m < 2 because they are corresponding angles

So m < 6 = 113 degrees answer

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Which statement is true about the reflectional symmetry of a regular heptagon? Check all that apply

Slav-nsk [51]

Answa line of symmetry will connect a vertex and a midpoint of an opposite side

it has 7-fold symmetry.

Step-by-step explanation:

A line of symmetry is a line that we can use to "fold" a figure in half. In order to do this, we will "fold" the figure from a vertex to the middle of the side opposite the vertex. Since there are 7 vertices, there will be 7 lines of reflection. i looked it up so i hope this helps you can thank

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3 years ago

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Can y’all help me on question 20?!

denis23 [38]

Answer:

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3 years ago

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Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro

Elanso [62]

Answer:

Choose the first alternative

$\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}$

Step-by-step explanation:

Probabilities

The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions $(N_s)$ and the total number of possible choices $(N_t)$ , i.e.

$\displaystyle P=\frac{N_s}{N_t}$

There are 6 sophomores and 14 freshmen to choose from each separate set. There are 20 students in total

We'll assume the positions of the selections are NOT significative, i.e. student A/student B is the same as student B/student A.

To choose 2 sophomores out of the 6 available, the first position has 6 elements to choose from, the second has now only 5

$_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C} \text{ ways to do it}$

The total number of possible choices is

$_{2}^{20}\textrm{C} \text{ ways to do it}$

The probability is then

$\boxed{\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}}$

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3 years ago

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How to find the missing lengths of a partelogram

Levart [38]

Answer:

Below.

Step-by-step explanation:

The area = the height (h) times the base.

So Q2:

21 = h * 7

h = 21/7 = 3

55 = b * 5

b = 11.

18.75 = h * 7.5

h = 18.75 / 7.5

= 2.5.

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3 years ago

Find the vector projection of B onto A if A = 5i + 11j – 2k,B = 4i + 7k

valkas [14]

Answer:

$\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\$

Step-by-step explanation:

Given A = 5i + 11j – 2k and B = 4i + 7k, the vector projection of B unto a is expressed as $proj_ab = \dfrac{b.a}{||a||^2} * a$

b.a = (5i + 11j – 2k)*( 4i + 0j + 7k)

note that i.i = j.j = k.k =1

b.a = 5(4)+11(0)-2(7)

b.a = 20-14

b.a = 6

||a|| = √5²+11²+(-2)²

||a|| = √25+121+4

||a|| = √130

square both sides

||a||² = (√130)

||a||² = 130

$proj_ab = \dfrac{6}{130} * (5i+11j-2k)\\\\proj_ab = \frac{30}{130} i+\frac{11}{130} j-\frac{12}{130} k\\\\proj_ab = \frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\\\$

Hence the projection of b unto a is expressed as $\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\$

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4 years ago