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il63 [147K]
2 years ago
7

In the diagram, lines AB , CD, and EF intersect at G

Mathematics
1 answer:
Ghella [55]2 years ago
6 0

Answer:

D. 70°

Step-by-step explanation:

Given:

m<DGB = 35°

m<CGF = 75°

Required:

m<AGE

SOLUTION:

m<EGD = m<CGF (vertical angles are congruent)

m<EGD = 75°

m<AGE + m<EGD + m<DGB = 180° (angles on a straight line)

m<AGE + 75° + 35° = 180° (substitution)

m<AGE + 110° = 180°

Subtract 110 from each side of the equation

m<AGE = 180° - 110°

m<AGE = 70°

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Find the magnitude of the
sertanlavr [38]

17.49 is the magnitude of the resultant vector. This can be obtained by adding the vectors and finding magnitude.

<h3>Calculate the magnitude of the resultant vector:</h3>

Resultant vector: vector that gives the combined effect of all the vectors. When we add two or more vectors, the outcome is the resultant vector.

For example,

  • Sum of vector (3,4) and vector (5,7)

(3,4) + (5,7) = (3+5,4+7) = (8,11)

(8,11) is the resultant vector of vector (3,4) and vector (5,7)

Magnitude of a vector: the length of the vector. The magnitude of the vector a is denoted as ∥a∥.

Magnitude of a = (a₁, a₂)

∥a∥=\sqrt{a_{1}^{2} +a_{2}^{2}   }

In the given question,

v (8,10) and w (7, -1)

Adding the vectors,

resultant vector = (8,10) + (7, -1) = (15, 9)

Magnitude of a vector (a,b) = √a²+b²

Here, magnitude = √15²+9² = √225+81 = √306 ≈ 17.49

Hence 17.49 is the magnitude of the resultant vector.

Learn more about vectors:

brainly.com/question/27870005

#SPJ1

7 0
2 years ago
Nevermind, the question has been solved.
san4es73 [151]

okay.... I guess??? lol

7 0
3 years ago
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Which expressions represents twelve diminished by six times a number:. 12-6n; 6n-12; 12n-6
Ede4ka [16]
12-6n
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4 0
3 years ago
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On a certain hot Summer's day 388 people use the public swimming pool. The daily prices are $1.75 for children and $2 for adults
Alecsey [184]

Answer:

it could be 372 adults with one kid or 426 kids with no adults but that isn't logical

Step-by-step explanation:

i don't really know how to explain it sorry

6 0
2 years ago
What is the base of a triangle that has a height of 6 centimeters and an area of 18 centimeters? Use the formula h = StartFracti
azamat

Answer:

h = 6 cm

Step-by-step explanation:

Atriangle = b×h/2

18cm² = 6cm×h/2

36cm² = 6cm×h

h = 36cm²/6cm

h = 6 cm

3 0
3 years ago
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