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aksik [14]
3 years ago
5

PLEASEE HELP!! what is the perimeter of x?? HURRYYYY

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0
X is equal to 26 —————————-
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1. To the nearest degree, find the measure of angle A.
Assoli18 [71]

Answer:

(1) Option A is correct , The measure of angle A = 26°

(2) Option D is correct, The measure of angle B  =70°

Step-by-step explanation:

(1)

In a right angle triangle figure-1 ,

* Hypotenuse(H) is always opposite the right angle and it is always the longest side of the triangle.

* Adjacent side (B) is the non-hypotenuse side that is next to a given angle A.

* Opposite side(P) is across from a given angle A.

To find the Angle A we use the Cosine ratio:

Cosine ratio states that the ratio of the adjacent side of a right triangle to the hypotenuse.

By definition of cosine ratio we have;

\cos A = \frac{B}{H}                      ....[1]

In the figure - 1 we have B = 18 in and H = 20 in

substitute these in [1] to find angle A

\cos A =\frac{18}{20} =\frac{9}{10} = 0.9

or

A = cos^{-1} (0.9)

⇒ A \approx 26^{\circ}

therefore, the measure of angle A is,  26^{\circ}

(2)P

In figure -2

Find the measure of angle B.

First find the side BC, using Pythagoras theorem;

Pythagoras theorem states that in the right angle triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Apply Pythagoras theorem in rt. angle ABC;

AB^2 = AC^2+BC^2

Substitute the values of AB = 5.1 cm and AC =4.8 cm to solve for BC

(5.1)^2=(4.8)^2 +BC^2

26.01 = 23.04+BC^2

Simplify:

BC^2 = 2.97 or

BC = \sqrt{2.97} =1.723 cm

Now, find the angle B, using tangent ratio;

Tangent ratio states that the ratio of the Opposite side of a right triangle to the adjacent side.

\tan B = \frac{AC}{BC} =\frac{4.8}{1.732} =2.772

B = \tan^{-1} (2.772) \approx 70^{\circ}

Therefore, the measure of angle B is; 70^{\circ}.

4 0
3 years ago
Read 2 more answers
Elena and her best friend found some money in an envelope. They split the money evenly, each getting $25. How much money did the
Elanso [62]

Answer:$50

Step-by-step explanation:

4 0
3 years ago
What is the value of x
Anna11 [10]

Answer:

28

Step-by-step explanation:

14x2=28

Therefore x=28

8 0
3 years ago
3. What is the slope of the line passing through (15,-5) and (3, -8)?
Andrej [43]
M= -8 - -5/ 3 - 15= -8+5/3-15= -3/-12 = 3/12 = 1/4 


The slope is 1/4. 
The slope formula is m=y2-y1/x2-x1. I plugged in -8=y2, -5=y1, 3=x2, and 15=x1. Then I solved it.
6 0
3 years ago
Read 2 more answers
2. Eric had $197 in his savings account before he was paid his weekly salary. His current
Nezavi [6.7K]

Answer:

197+n = 429

Step-by-step explanation:

He starts with 197,  he adds his salary, he ends with 429

197+n = 429

5 0
3 years ago
Read 2 more answers
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