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sergejj [24]
3 years ago
10

This is a diagram of a staircase railing. Which is a true statement about the measure of angle DCJ marked rº on the diagram? (Pi

cture included)
Additional Information: AG || ray CJ and ray AD || ray FJ
A. It equals 30 degrees by the alternate interior angles theorem
B. It equals 30 degrees by the corresponding angles postulate
C. It equals 50 degrees by the alternate interior angles theorem
D. It equals 50 degrees by the corresponding angles postulate

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
7 0
Solutions 

The correct answer to the given question is 

DCJ marked rº on the diagram <span>equals 50 degrees by the corresponding angles postulate. 

= (D) </span>
RSB [31]3 years ago
6 0
Hello,

Answer D

It equals 50 degrees by the corresponding angles postulate

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Hi, can someone help with these two questions ASAP! (Ignore the multiple choice I circled, not sure if it’s correct)
Sindrei [870]

Answer:

1) D. y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10

2) E. The coefficient of x is -16.

Step-by-step explanation:

1) A polynomial is an algebraic expression of the form p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}, where n is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10

Correct answer: D

2) Let p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4), we proceed to expand the expression by algebraic means:

p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)

p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4

We see that coefficients for x^{2} and x are -16 and 0, respectively. Hence, the incorrect answer is E.

3 0
3 years ago
Find the exact value of the given expression.<br> sin(2cos^-1(5/13))
xeze [42]

Answer:

+120/169 or -120/169

Step-by-step explanation:

  • let cos^{-1}[\frac{5}{13}  ] = \alpha

where, alpha is some angle that satisfies the assumed condition.

  • so, cos\alpha= 5/13

[ taking cos to the other side  or applying cos on both sides]

  • now, substitute this in the given expression
  • sin(2cos^-1(5/13)) = sin(2\alpha )

as sin\beta =  + or -\sqrt{1-(cos\beta) ^{2}

[by general trigonometry formula: cos^{2}[\beta]  +sin^{2}[\beta]=1]

so if  cos\alpha= 5/13, we can get sin\alpha from the above formula as + or - 12/13

(because, after taking square root on both sides we keep + or -]

  • as, sin2\beta  = 2*sin[\beta ]*cos[\beta ]

[by general trigonometry formula]

  • here, now sin[2\alpha ]=2*(+or- 12/13)*5/13\\

so, the final value can be 120/169 or -120/169.

4 0
3 years ago
HELP PLEASE! 50 POINTS AND WILL MARK BRAINLIEST.
Alex777 [14]

Answer:  a) the dependent variable is y, the amount he earns depending on x, the independent variable. x is the number of hours.

b) y = 5x + 10

c)  Bobby earns $27.50 for the 3.5 hour job

Step-by-step explanation: use the function y=5x + 10  substitute 3.5 for x

y = 5(3.5) + 10

y = 17.5 + 10

y= 27.5

7 0
3 years ago
F(x)=4x <br> 2<br> +2x+6 How many distinct real number zeros does f have?
hoa [83]

Answer:

It has 0 distinct real number zeros. The function does not touch the x-axis

6 0
3 years ago
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Identify the Quedrant containing the point (3.27, -4.81)
almond37 [142]

Answer: Quadrant 4

Step-by-step explanation:

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3 years ago
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