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gogolik [260]
3 years ago
14

Given that ABCD is a rhombus, what is the value of x?

Mathematics
1 answer:
Kruka [31]3 years ago
3 0

Answer:

  D.  18

Step-by-step explanation:

∠DAC ≅ ∠BCA and the diagonals cross at right angles, so the two marked angles are complementary.

  (5x -18) +x = 90

  6x = 108 . . . . . . . . . simplify, add 18

  x = 18 . . . . . . . . . . . divide by 6

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Use synthetic division to solve (x3 + 1) ÷ (x – 1). What is the quotient?
Fofino [41]

Answer:

x^2 + x + 1 + (2/ x -1)

Step-by-step explanation:

Use the divisor and find x :

x - 1 = 0  **add 1

x= 1

Now we will use the 1 in dividing:

take the coefficients from in front of all terms

  ** make sure you include 0's for x^2 and x since you have to have all terms

set it up with a 1 in a box:

1|  1   0   0  1   **bring the first number down

____________

    1                    **multiply the boxed number by the first number and add it                                 to the second number

1|  1   0   0  1  

____+1_____       **repeat with the rest of the terms

    1   1  

1|  1   0    0    1

 ___+1_+1_+1  

    1   1    1    2                              

**when you're done, use the new numbers to write an equation starting with a term with a degree one less than the previous equation.

**since there is a remainder, rewrite it divided by the original divisor

final answer:

x^2 + x + 1 + (2/ x -1)

8 0
3 years ago
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Find the missing angle of the triangle with angle measurements of 75º and 80º. What is the missing angle? Explain how you found
Lubov Fominskaja [6]
The missing angle is 25. A triangle is always equal to 180° so you would subtract your know angles from 180 to find the missing angle
75+80+x=180 would be the equation
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3 years ago
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Step-by-step explanation:

by square and cubic root law

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Step-by-step explanation:

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4 years ago
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stepladder [879]
Okay, cero que es

\frac{4- \sqrt{2} - \sqrt{10} }{4}

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4 years ago
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