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lubasha [3.4K]
3 years ago
7

Really need help on this so please help as soon as you can thanks

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
7 0

Answer:

Option A

Step-by-step explanation:

From the last triangle given in the picture,

x° = 45° + 85° [By the definition of exterior angle of a triangle]

x = 130°

Another way to get the value of x,

By triangle sum theorem,

45° + 85° + y° = 180°

y° = 180° - 130°

y = 50°

And (x° + y°) = 180° [linear pair of angles]

x + 50 = 180

x = 130°

Therefore, x = 130° because 180 - (45 + 85) = 50 and 180 - 50 = 130

Option A is the answer.

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Alexxx [7]

Question: Given that BE bisects ∠CEA, which statements must be true? Select THREE options.

(See attachment below for the figure)

m∠CEA = 90°

m∠CEF = m∠CEA + m∠BEF

m∠CEB = 2(m∠CEA)

∠CEF is a straight angle.

∠AEF is a right angle.

Answer:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

Step-by-step explanation:

Line AE is perpendicular to line CF, which is a straight line. This creates two right angles, <CEA and <AEF.

Angle on a straight line = 180°. Therefore, m<CEA + m<AEF = m<CEF. Each right angle measures 90°.

Thus, the three statements that must be TRUE are:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

3 0
3 years ago
Find the axis of symmetry of the graph of the function. (5 points) f(x) = 3x2 + 12x + 9
Kryger [21]

Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

<h3>Axis of symmetry</h3>

An axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.

In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.

The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.

That is, in a quadratic function that has the form:

f(x)= ax² + bx + c

the axis of symmetry is a vertical line and it is defined as x=\frac{-b}{2a}.

<h3>Axis of symmetry of f(x) = 3x² + 12x + 9</h3>

In this case, you know:

  • a= 3
  • b=12
  • c=9

Replacing in the definition of axis of symmetry:

x=\frac{-12}{2x3}

Solving:

x=\frac{-12}{6}

<u><em>x= -2</em></u>

Finally, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

Learn more about axis of symmetry:

brainly.com/question/24737967

brainly.com/question/10473291

#SPJ1

3 0
2 years ago
PLEASE HELP!!!!!!!! IMAGE ATTACHED!!!!
erma4kov [3.2K]

Answer:

Step-by-step explanation:

4) (-2,3)   ;  (-1,-2)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-2-3}{-1-[-2]}\\\\=\frac{-5}{-1+2}\\\\=\frac{-5}{1}\\\\=-5

5) line is parallel to x-axis. So, slope= 0

6) (1,1) ;  (-2, -1)

Slope=\frac{-1-1}{-2-1}\\\\=\frac{-2}{-3}\\\\=\frac{2}{3}

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The larger number is 18 more than twice the smaller.if the sum of the two numbers is 93,find both numbers
kodGreya [7K]

Answer:

I believe the numbers are 25 and 68.

Step-by-step explanation:

25 is the smaller number, 25 x 2 = 50, 50 + 18 = 68, and 68 + 25 = 93.

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What is 9 divided by 1/5
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Answer:

its 45

Step-by-step explanation:

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