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Free_Kalibri [48]
3 years ago
6

Please anyone help please ASAP

Mathematics
2 answers:
ZanzabumX [31]3 years ago
5 0

Answer:

x=7.90 x≈8

Step-by-step explanation:

they are alternate interior angles

so: 7x+6+15x=180

22x+6=180

22x=174

=7.9090......

you can double check my work

denis23 [38]3 years ago
3 0

Answer:

Angle WTS will be 180 degree minus 15x. You can write this as an expression:

180-15x

Now you have an expression for each angle in the triangle. Triangles will always have 180 degrees in them. You can add the expressions together and set it equal to 180. Then you can solve the equation for the x variable.

Step-by-step explanation:

Angle SWT + angle WTS + angle TSW = 180 degrees

Replace each angle with the expression then solve.

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Find the area of the following shape, given its curves are made from parts of circles with diameters indicated on the diagram.
Alexxandr [17]

Answer:

222.51 (when rounded)

Step-by-step explanation:

Pi x r squared is the formula to find the area of a circle

153.94 + 12.57 + 56

= 222.51

You basically find the area of each circle by find their diameters. So half of the length shown on each circle.

7 0
3 years ago
Find the amplitude and the equation of the midline of the periodic function.
Masja [62]

Answer:

Option B. Amplitude =3 midline is y =2.

Step-by-step explanation:

In the graph attached we have to find the amplitude and midline of the periodic function.

Amplitude of the periodic function = (Distance between two extreme points on y asxis)/2

=  (5-(-1))/2 = (5+1)/2 =6/2 =3.

Since amplitude of this function is 3 and by definition amplitude of any periodic function is the distance between the midline and the extreme point of wave on one side.

Therefore midline of the wave function is y=2 from which measurement of the amplitude is 3.

6 0
3 years ago
Read 2 more answers
What is the solution to the system of equations? 7x-2y= -24 5x+5y=15
Artyom0805 [142]
35x -10y=-120
10x +10y= 30

45x=-90
x=-2

5(-2)+5y=15
-10+5y=15

5y=25
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(-2,5): the answer is b
7 0
3 years ago
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one x-intercept for a parabola is at the point (2, 0). use the quadratic formula to find the other x-intercept for the parabola
omeli [17]

Answer:

Step-by-step explanation:

There are 3 ways to find the other x intercept.

1) Polynomial Long Division.

Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.

2) Just solving for x when y = 0, by using the quadratic formula.

x^2 - 3x + 2 = 0\\x_{12} = \frac{3 \pm \sqrt{9 - 4(1)(2)}}{2} = \frac{3 \pm 1}{2} = 2, 1.

So the other x - intercept is at (1, 0)

3) Using Vietta's Theorem regarding the solutions of a quadratic

Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.

x_1 + x_2 = \frac{-b}{a}

And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.

x_1 \cdot x_2 = \frac{c}{a}

These relations between the solutions give us a brief idea of what the solutions should be like.

6 0
3 years ago
Use rulers and compasses to draw a line which is perpendicular to line AB at point C
netineya [11]

Answer:

Draw a line AB

Take a point C on AB

Fix the tip of compass at C and with a fix radius, cut AB on both sides of C

Mark those points D and E

Fix the tip of compass on D, and with the same radius, draw an arc above C

Do the same with E

Those two arcs will intersect at a point, mark the point F

Make a line passing through both C and F

Line CF is perpendicular to AB

8 0
2 years ago
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