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3 years ago

6

Lesson 10 tools of geometry unit test

2 answers:

Galina-37 [17]3 years ago

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What are the questions?

Jet001 [13]3 years ago

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The sum of a number, n, and 6.05 is 12.4. What is n?

Irina18 [472]

Answer:

2.04

Step-by-step explanation:

Equation: 6.05n=12.4=

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2 years ago

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find two consecutive odd integers that 7 times the smaller integer is 61 more than 2 times the larger integer.

Aleks04 [339]

Answer:

x = 13 smaller integer

x + 2 = 15 the other integer

Step-by-step explanation:

x = the smaller integer

x + 2 = the next integer

7(x) = 61 + 2(x + 2)

7x = 61 + 2x +4

5x = 61 + 4

5x = 65

x = 13 smaller integer

x + 2 = 15 the other integer

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2 years ago

Which expression is equivalent to<br> (6x-9x) - (2x - 3)?

NikAS [45]

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6x^2 -9x -2x-3

6x^2 -11x +3

Step-by-step explanation:

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3 years ago

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¿Cuál de los siguientes valores de n hace CIERTA

olga_2 [115]

Answer:

B

Step-by-step explanation:

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n³=125

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3 years ago

Consider a Triangle ABC like the one below. Suppose that C = 98, A = 74, and b = 11 (figure is not drawn to scale.) solve the tr

Degger [83]

Answer:

$A=73.8\°$

$B=8.2\°$

$c=76.3\ units$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

$c^{2}= a^{2}+b^{2}-2(a)(b)cos(C)$

substitute the given values

$c^{2}= 74^{2}+11^{2}-2(74)(11)cos(98\°)$

$c^{2}=5,823.5738$

$c=76.3\ units$

step 2

Find the measure of angle A

Applying the law of sine

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{74}{sin(A)}=\frac{76.3}{sin(98\°)}$

$sin(A)=(74)sin(98\°)/76.3$

$A=arcsin((74)sin(98\°)/76.3)$

$A=73.8\°$

step 3

Find the measure of angle B

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

$A+B+C=180\°$

substitute the given values

$73.8\°+B+98\°=180\°$

$171.8\°+B=180\°$

$B=180\°-171.8\°=8.2\°$

5 0

3 years ago