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Lilit [14]
3 years ago
11

Can u please find the value of X and both missing angle measures? It’s just notes I was absent when she explained it.

Mathematics
1 answer:
KIM [24]3 years ago
8 0
Heres a tip---- if it has a square its 90 degrees if it doesnt its 180 and if its in an x shape theyre equal
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Given: -7x<-21 choose the solution set
Ahat [919]

Answer:

x > 3

Step-by-step explanation:

The only thing you need to do is just divide both sides by -7

-7x/-7<-21/-7

x>3

I hope this helped!! Good luck (:

6 0
1 year ago
A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh
Stella [2.4K]

A parabola is a mirror-symmetrical U-shape.

  • The equation of the parabola is \mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}
  • The focus is \mathbf{Focus = (80, -1760)}
  • The directrix is \mathbf{y = \frac{1}{640}}
  • The axis of the symmetry of parabola is: \mathbf{x = 80}

From the question, we have:

\mathbf{Vertex: (h,k) = (80,10)}

\mathbf{Origin: (x,y) = (0,0)}

The equation of a parabola is:

\mathbf{y = a(x - h)^2 + k}

Substitute the values of origin and vertex in \mathbf{y = a(x - h)^2 + k}

\mathbf{0 = a(0 - 80)^2 + 10}

\mathbf{0 = a(- 80)^2 + 10}

\mathbf{0 = 6400a + 10}

Collect like terms

\mathbf{6400a =- 10}

Solve for a

\mathbf{a =- \frac{1}{640}}

Substitute the values of a and the vertex in \mathbf{y = a(x - h)^2 + k}

\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}

The focus of a parabola is:

\mathbf{Focus = (h, \frac{k+1}{4a})}

Substitute the values of a and the vertex in \mathbf{Focus = (h, \frac{k+1}{4a})}

\mathbf{Focus = (80, \frac{10+1}{4 \times -\frac{1}{640}})}

\mathbf{Focus = (80, -\frac{11}{\frac{1}{160}})}

\mathbf{Focus = (80, -11\times 160)}

\mathbf{Focus = (80, -1760)}

The equation of the directrix is:

\mathbf{y = -a}

So, we have:

\mathbf{y = \frac{1}{640}} ----- the directrix

The axis of symmetry is:

\mathbf{x = -\frac{b}{2a}}

We have:

\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}

Expand

\mathbf{y = -\frac{1}{640}(x^2 -160x + 6400) +10}

Expand

\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x - 10 +10}

\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x }

A quadratic function is represented as:

\mathbf{y = ax^2 + bx + c}

So, we have:

\mathbf{a = -\frac{1}{640}}

\mathbf{b = \frac{1}{4}}

Recall that:

\mathbf{x = -\frac{b}{2a}}

So, we have:

\mathbf{x = -\frac{1/4}{2 \times -1/640}}

\mathbf{x = \frac{1/4}{1/320}}

This gives

\mathbf{x = \frac{320}{4}}

\mathbf{x = 80}

Hence, the axis of the symmetry of parabola is: \mathbf{x = 80}

Read more about parabola at:

brainly.com/question/21685473

6 0
3 years ago
45 POINTS PLZ ANSWER FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
lesya [120]

Answer:

x = 72

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Calculate the following<br><br>A)-10-(-19)+(8-16)<br><br>B)-6×2+4÷2​
Lelechka [254]

Answer:

A. 1

B. -10

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Does anyone have any Idea how to solve this?
Mariulka [41]

Answer:

x = 12

Step-by-step explanation:

Remark

These two angles are corresponding angles and as such, they are equal.

Equation

8x+ 36 = 5x + 72

Solution

Subtract 5x from both sides

8x - 5x + 36 = 5x - 5x + 72          Combine like terms.

3x + 36 = 72                                 Subtract 36 from both sides

3x + 36 - 36 = 72 - 36                  Collect like terms

3x = 36                                          Divide by 3

3x/3 = 36/3                                   Divide

x = 12                                             Answer

6 0
3 years ago
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