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3 years ago

Q = 23° 26' 33" (Round to 3 decimal places as needed.)

Mathematics

1 answer:

Natali [406]3 years ago

6 0

Answer:

Q = 23° 26' 33"

Step-by-step explanation:

(Round to 3 decimal places as needed.)

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Point C is in the interior of angle DEF. If angle DEC and angle CEF are congruent, then segment EC is the _____ of angle DEF.

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Answer:

Option A

Step-by-step explanation:

Line EC splits the angle into two equal angles so it is an angular bisector of DEF.

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The 10th term of an a.p is -27 and the 5th term is -12 .find the first term?

horsena [70]

Step-by-step explanation:

$a_{10} = - 27... (Given) \\\\\therefore a + 9d = - 27...... (1)\\\\a_{5} = - 12... (Given) \\\\\therefore a + 4d = - 12.......(2)\\\\$

Subtracting equation (2) from equation (1)

$a + 9d-( a + 4d )= - 27-(-12)\\\\\therefore a +9d - a-4d = - 27+12\\\\\therefore 5d = - 15\\\\\therefore d = \frac {- 15}{5}\\\\\huge \orange {\boxed {\therefore d = -3}} \\\\$

Substituting d = - 3 in equation (1), we find:

$a + 9\times (-3)= - 27\\\\\therefore a - 27 = - 27\\\\\therefore a = 27- 27\\\\\huge \red {\boxed {\therefore a = 0}}\\\\$

Hence, first term is zero.

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3 years ago

If DEF ~= PQR, which congruences are true by CPCTC? Select all that apply.

tatyana61 [14]

Answer:

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Step-by-step explanation:

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3 years ago

FUNCTIONS: In the space provided, type the answer in descending order as it applies without any spaces between the letters, numb

Aleonysh [2.5K]

Answer:

Hence The composition $(fog)(x)$ of the given function is $x^2+12x+29$ .

Step-by-step explanation:

Given:

$f(x) = x^2+2x-6$

$g(x)=x+5$

We need to find $(f o g)(x)$ .

Solution:

Now we can say that;

$(f o g)(x)$ = $f(g(x))$

$(fog)(x) = (x+5)^2+2(x+5)-6$

Now Applying distributive property we get;

$(fog)(x) = (x+5)^2+2\times x+2\times5-6\\\\(fog)(x) = (x+5)^2+2x+10-6\\\\(fog)(x) = (x+5)^2+2x+4$

Now Solving the exponent function we get;

$(fog)(x) = x^2+2\times x\times 5+5^2+2x+4\\\\(fog)(x) = x^2+10x+25+2x+4\\\\(fog)(x) = x^2+12x+29$

Hence The composition $(fog)(x)$ of the given function is $x^2+12x+29$ .

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3 years ago