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Strike441 [17]
2 years ago
5

Can somebody anybody please help me with this math problem?

Mathematics
2 answers:
nordsb [41]2 years ago
6 0

Answer:

x = 30°

Step-by-step explanation:

Because of the given congruency,

Angle A = Angle D = 65°.

Angle C = 55°

Angle B = Angle E = 2x

Now, In Triangle ABC,

Angle A + Angle B + Angle C = 180°.

65° + 2x + 55° = 180°

120 + 2x = 180

2x = 60

x = 30°

HOPE IT HELPS!!!

Annette [7]2 years ago
3 0

Answer:

30°

Step-by-step explanation:

Angle C = 55°, Angle D = Angle A = 65°, Angle B = 2x

Sum of angles in a triangle = 180°

65° + 55° + 2x = 180

120 + 2x = 180

2x = 180 - 120

2x = 60

x = 30°

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Find the volume of the wedge with vertices at points (0,0,0), (1,0,0), (0,1,0), (0,0,1) by integrating the area of cross-section
Angelina_Jolie [31]

Answer:

V = 1/6 cubic units

Step-by-step explanation:

Applying the concept of integrals for volume calculation:

V = \int\limits^b_a {S(x)} \, dx          (1)

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Slope = m = \frac{y_{2} - y_{1} }{x_{2} - x_{1}}          (3)

Equation of the line = y - y_{1} =m(x-x_{1} )          (4)

Replacing the points (1,0) and (0,1) in (3):

m=\frac{1-0}{0-1} =-1

Replacing the point (1,0) and m = -1 in (4):

y-0=(-1)(x-1)

y(x) = -x + 1 (Line A-B)          (5)

We apply the equation of the point-slope line (plane xz):

Slope = m = \frac{z_{2} - z_{1} }{x_{2} - x_{1}}          (6)

Equation of the line = z - z_{1} =m(x-x_{1} )          (7)

Replacing the points (1,0) and (0,1) in (6):

m=\frac{1-0}{0-1} =-1

Replacing the point (1,0) and m = -1 in (7):

z-0=(-1)(x-1)

z(x) = -x + 1 (Line A-C)        (8)

Replacing (5) and (8) in (2)

S(x) = \frac{(-x + 1) * (-x + 1)}{2} =\frac{(-x + 1)^{2} }{2}          (9)

Replacing (9) in (1) and knowing that a = 0 and b = 1:

V = \int\limits^1_0 {\frac{(-x + 1)^{2} }{2}} \, dx = \int\limits^1_0 {\frac{x^{2}-2x+1 }{2}} \, dx

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V= \frac{1}{2} (\frac{1}{3} -1 +1) = \frac{1}{6}

3 0
3 years ago
MARK AS BRAINLIEST
timofeeve [1]

Answer:

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Step-by-step explanation:

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3 0
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