All categories

3 years ago

Find the measure of angle A

Mathematics

2 answers:

Digiron [165]3 years ago

6 0

<u>Answer:</u>

The correct answer option is b. m∠B = 61°.

<u>Step-by-step explanation:</u>

We are given a right angles triangle with an angle ABC equal to 29 degrees and side length BC known to be equal to 15.

We are supposed to find the measure of angle A.

We know that the sum of all three angles of a triangle must be 190 degrees. Since it is a right angled triangle, so ∠C = 90° and ∠B = 29°.

A° + B° + C° = 180°

A° + 29° + 90° = 180°

A° = 180° - 119°

A° = 61°

Salsk061 [2.6K]3 years ago

4 0

the angle c is 90°, it is a right triangle. (you see from the picture).

the sum of the interior angles are 180° (in all triangles)

180 - 90 - 29 =

61° (angle A)

----------------------

90 + 61 + 29 = 180°

You might be interested in

a cuboid with a volume of 924 cm3 has dimensions 4cm (x+1)cm and (x+11)cm. show clearly that x^2 +12x-220=0. show the equation b

nikdorinn [45]

Answer:

Part 1)

The equation by factorization is

$x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))$

Both values of x are

$x1=-6+\sqrt{266}$

$x2=-6-\sqrt{266}$

Part 2) The dimensions of the cuboid are

$4\ cm$ , $(-5+\sqrt{266})\ cm$ and $(5+\sqrt{266})\ cm$

Step-by-step explanation:

step 1

we know that

The volume of the cuboid is equal to

$V=LWH$

substitute the given values

$V=4(x+1)(x+11)$

$V=924\ cm^{3}$

$4(x+1)(x+11)=924\\4(x^{2}+11x+x+11)=924\\ 4(x^{2}+12x+11)=924\\x^{2}+12x+11=231\\x^{2}+12x-230=0$

Complete the square

$x^{2}+12x-230=0$

$x^{2}+12x=230$

$x^{2}+12x+36=230+36$

$(x+6)^{2}=266$

square root both sides

$x+6=(+/-)\sqrt{266}$

$x=-6(+/-)\sqrt{266}$

$x1=-6+\sqrt{266}$

$x2=-6-\sqrt{266}$

therefore

The equation by factorization is

$x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))$

step 2

Find the dimensions of the cuboid

The dimensions are

$4\ cm$

$(x+1)\ cm -----> (-6+\sqrt{266}+1)=(-5+\sqrt{266})\ cm$

$(x+11)\ cm ----> (-6+\sqrt{266}+11)=(5+\sqrt{266})\ cm$

4 0

3 years ago

Read 2 more answers

Give an example of a function that is neither even nor odd and explain algebraically why does neither even nor odd

Nat2105 [25]

Here is an example f(x)X squared minus 6x plus five

3 0

3 years ago

A box contains 10 red marbles, 13 blue marbles, 6 green marbles and 7 white

Zarrin [17]

Answer:

Total number of marbles = 10+20+30 = 60 out of which 20 are blue.

Probability of first marble being blue = 20/60

Probability of second marble being blue = 19/59

Probability of third marble being blue = 18/58

Probability of fourth marble being blue = 17/57

Probability of fifth marble being blue = 16/56

So probability of all marble being blue when five marbles are drawn from the box = (20/60)*(19/59)*(18/58)*(17/57)*(16/56) = 34/11977 = 0.00283877432

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A lottery offers two options for the prize. (7) Option A: $1000 a week for life. Option B: $600 000 in one lump sum. If you choo

Likurg_2 [28]

I would go for b because I would have a little over half a million and I can use it to take care of my family

6 0

3 years ago

shane made a scale drawing of a hotel. a room in the hotel, which is 18 feet wide in real life, is 51 inches wide in the drawing

nadya68 [22]

The scale of the drawing is 6 feet = 17 inches

Scaling is the process of increasing or reducing the size of a figure by a factor k.

In the given statement is:

Shane made a scale drawing of a hotel. a room in the hotel, which is 18 feet wide in real life, is 51 inches wide in the drawing.

A figure which is 18 feet wide in real life, is 51 inches wide in the drawing, hence the scale is:

Now, According to the question is

18 feet = 51 inches

Divide both sides by 3:

6 feet = 17 inches

Therefore, the scale of the drawing is 6 feet = 17 inches

Learn more about The scale of drawing at:

brainly.com/question/21904606

#SPJ4

5 0

2 years ago