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sashaice [31]
2 years ago
5

Please help with this pls.

Mathematics
1 answer:
allochka39001 [22]2 years ago
5 0

Answer:

x = 9

(5x9) - 1° = 45 - 1 or 44°

Step-by-step explanation:

the little square indicates the angle is a right angle, measuring 90°

therefore, you can solve for 'x' by creating this equation:

46 + 5x-1 = 90

45 + 5x = 90

5x = 45

x = 9

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Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x − 9)? T
egoroff_w [7]

Answer:

The graph of y = f(x) will shift to the right 9 units.

Step-by-step explanation:

Despite some lack of clarity, because usually this equality is in terms of x and y. Let's do it.

Taking f(x) as its parent function in other words

y=f(x)

Testing some values:

x|y

0|0

1|1

2|2

Adding to the function  -9 units is to shift it to the right

y=f(x-9)

Testing some values to certify:

x|y

-9|0-9

-8|1-9

-7|2-9

4 0
2 years ago
AC is tangent to circle O at point C. What is the length of OC
Sedaia [141]

Let OC is x, so OC=OB=x

{4}^{2}  + x^{2}  =  {(2 + x)}^{2}  \\ 16 +  {x}^{2}  = 4 + 4x +  {x}^{2}  \\ 12 = 4x \\ x = 3

Answer: OC=3 points

6 0
3 years ago
Quadrilateral ABCD is similar to Quadrilateral EFGH. Diagonal AC has length 7 and diagonal EG has length 13. What is the scale f
olasank [31]

Answer:

\large \boxed{\text{A. }\dfrac{13}{7}\text{; B. }\dfrac{17}{14} \text{; C. 507 in}^{2}}

Step-by-step explanation:

A. Scale factor

When you dilate an object by a scale factor, you multiply its line lengths by the same number.

If EF/AB = 13/7, the scale factor is 13/7.

B. Length of EF

\begin{array}{rcl}\dfrac{EF}{AB} & = & \dfrac{13}{7}\\\\\dfrac{EF}{\frac{17}{26}} & = & \dfrac{13}{7}\\\\EF & = & \dfrac{13}{7}\times\dfrac{17}{26}\\\\ & = &\dfrac{1}{7}\times\dfrac{17}{2}\\\\ & = & \mathbf{\dfrac{17}{14}}\\\end{array}\\\text{The length of EF is $\large \boxed{\mathbf{ \dfrac{17}{14}}}$}

C. Area of EFGH

If the lengths in a shape are all multiplied by a scale factor, then the areas will be multiplied by the scale factor squared.

ABCD is dilated by a scale factor of 13/7, so its area is dilated by a scale factor of

\left(\dfrac{13}{7} \right)^{2} = \dfrac{169}{49}

The area of its dilated image EFGH is

\text{Area of EFGH} = \text{147 in}^{2} \times \dfrac{\text{169}}{\text{49}} = 3 \times 169\text{ in}^{2} = 507 \text{ in}^{2}\\\\\text{The area of EFGH is $\large \boxed{\textbf{507 in}^{\mathbf{2}}}$}

8 0
3 years ago
What error did zacharias make? the –5 should be 5. the 52 should be –52. the 2 in the numerator should be –2. the 2 in the denom
Contact [7]

The error made by zacharias in solving the quadratic equation 0 = -2x² + 5x - 3 using quadratic formula is; the 2 in the numerator should be –2.

<h3>Quadratic equation</h3>

There are four methods of solving quadratic equation. Namely;

  • Factorization method
  • Completing the square method
  • Graphical method
  • Formula method

0 = -2x² + 5x - 3

  • Using quadratic formula

x = -b ± √b² - 4ac / 2a

where,

  • a = -2
  • b = 5
  • c = -3

x = -b ± √b² - 4ac / 2a

x = -5 ± √5² - 4(-2)(-3) / 2(-2)

= -5 ± √25 - (24) / -2

= -5 ± √1 / -2

= -5/2 ± 1/2

= -5/2 - 1/2 or x = -5/2 + 1/2

= -5-1 / 2 or -5+1/ 2

x = -6/2 or -4/2

x = -3 or -2

Therefore, the solution to the quadratic equation is x = -3 or -2

Learn more about quadratic equation:

brainly.com/question/1214333

#SPJ1

6 0
1 year ago
Joshua need an equal number of notepads and sticky notes. How many packages of each item does Joshua need to buy? Notepads has 5
stepan [7]
4 packs of notepads and 5 packs of sticky notes
Explanation: if he needs the same number of both he needs to find the first number that 4 and 5 both go into. 4 x 5 = 20 so this is the least common multiple
8 0
3 years ago
Read 2 more answers
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