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Nutka1998 [239]
3 years ago
10

ABC est un triangle rectangle en B. On donne : AB = 7:BC = a et AC = a +5. Calcule a

Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0

Answer:

Step-by-step explanation:

salut :

en utilisant le theorem de Pythagore on obtient :

AC²= AB² + BC²

(a+5)² = 7²+a²

a²+10a+25 = 49+a²

10a+25 =49

10a =24

donc : a = 24/10 = 12/5 = 2.4 unit

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Lelechka [254]

Answer:

Step-by-step explanation:

a. This is a right triangle with two sides and one angle given.

-We apply Sine Rule to find the angle B:

\frac{a}{Sin \ A}=\frac{b}{Sin \ B}=\frac{b}{Sin \ C}

-The sides given are 10and 17 and the right angle 90°

\frac{17}{Sin \ 90 \textdegree}=\frac{10}{Sin \ m\angle B}\\\\m\angle B=Sin^{-1}\frac{10}{(17/Sin \ 90\textdegree)}\\\\=36.03\textdegree

Hence  the angle B is 36.03°

b.We again use the sine rule to obtain the unknown angle w:

-15 corresponds to 90° and 9 corresponds to w°

\frac{a}{Sin \ a}=\frac{b}{Sin \ B}\\\\\frac{15}{Sin \ 90\textdegree}=\frac{9}{Sin \ w\textdegree}\\\\\\\\w=Sin^{-1}(\frac{9}{15}), \ \ Sin \ 90\textdegree=1\\\\=36.87\textdegree

Hence, the measure of w is 36.87°

4 0
3 years ago
The measure of < A is 45 degree
VashaNatasha [74]

We are given \triangle ABC \cong \triangle EFG

The order of the letter sequence is important. The letters pair up based on how they are arranged. We see that A and E are the first letters of the sequences. So this means that angles A and E are the same measure

angle A = angle E

3x+20 = 5x-80

3x-5x = -80-20

-2x = -100

x = -100/(-2)

x = 50

Use this x value to find the measure of angle A

angle A = 3x+20

angle A = 3(50)+20

angle A = 150+20

angle A = 170 degrees

<h3>Therefore, the statement "the measure of angle A is 45 degrees" is <u>false</u>.</h3>
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3 years ago
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Kisachek [45]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
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IgorLugansk [536]

Answer:

17. Scale Factor is  3:1

18. Scale Factor is  1:3

Step-by-step explanation:

Scale Factor: In two similar shapes, the ratio of their corresponding sides is called scale factor.

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Figure A has sides:

Hypotenuse = 15

Perpendicular = 12

Base = 9

Figure B has sides:

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Perpendicular = 4

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3:1

18. Give the scale factor of Figure B to Figure A

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Perpendicular = 4

Base = 3

Figure A has sides:

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If we multiply 3 with the sides of Figure B we can get the sides of Figure A.

So scale factor is 3.

So, Figure B : Figure A

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Which measure of center is the best to use to compare the prices of kid socks and adult socks?
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Answer:

The answer is mean

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