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4 years ago

If AB || CD, EF ⊥ CD and ∠GED = 135° as per the figure given below. Find the value of ∠AGE is

Mathematics

1 answer:

Bond [772]4 years ago

3 0

Answer:

Step-by-step explanation:

Find the diagram attached

From the given diagram, since AB is parallel to CD, this means both lines have similar properties.

For the triangle GEF, AFB, ∠GEF = ∠GED - ∠FED

Given ∠GED = 135 and ∠FED = 90

∠GEF = 135-90

∠GEF = 45°

Also, sum of angle in the triangle GEF is 180°, hence;

∠GEF + ∠EGF + ∠GFE = 180°

45°+∠EGF+90° = 180°

∠EGF+135° = 180°

∠EGF = 180-135

∠EGF = 45°

since the sum of angle on the straight line AGF = 180°, then;

∠AGE+∠EGF = 180°

∠AGE+45° = 180°

∠AGE = 180°-45°

∠AGE = 135°

Hence the value of ∠AGE is 135°

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jeka57 [31]

Answer:

a) The Mean of the water levels for the week (μ) = 6.657

b) The Median of the water levels for the week = 6.6

c) Mode = 6.8

Step-by-step explanation:

Step(i):-

Given that the data per one week

6.5, 6.8 , 7.2 ,6.8 ,6.6 ,6.3 , 6.4

we have to find the mean of the given data

Solution:-

Mean = ∑x /n

$Mean = \frac{6.5+6.8+7.2+6.8+6.6+6.3+6.4}{7}$

Mean = $\frac{46.6}{7}$

Mean(μ) = 6.657

The Mean of the water levels for the week (μ) = 6.657

Step(ii):-

Given that the data per one week

6.5, 6.8 , 7.2 ,6.8 ,6.6 ,6.3 , 6.4

we have to find the Median of the given data

A median is the center value of a given data when arranged in an order

6.3 6.4 6.5 6.6 6.8 6.8 7.2

The Median = middle of the given data

The Median = 6.6

Step(iii):-

Given that the data per one week

6.5, 6.8 , 7.2 ,6.8 ,6.6 ,6.3 , 6.4

we have to find the Mode of the given data

Mode = Value repeated the most number of times

The value 6.8 repeated two times

∴ Mode = 6.8

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3 years ago

Complete the table of values to find the solutions of the equation -x + y = 6.

Korolek [52]

Answer:

Answer:

X l Y

-2 l 4

-1 l 5

0 l 6

1 l 7

2 l 8

Step-by-step explanation:

X  l Y

-2 l - (-2) + y =6 => y = 6 - 2=> y = 4

-1 l - (-1) + y =6 => y = 6 - 1=> y = 5

0 l - (0) + y =6 => y = 6 + 0=> y = 6

1 l - (1) + y =6 => y = 6 +1 => y = 7

2 l - (2) + y =6 => y = 6 + 2=> y = 8

Note: - (-a) + b = a + b

 - (a) + b = - a + b

6 0

3 years ago

Is (1,9) (2,36) (3,81) a linear function? PLEASE HELP ARE THEY LINEAR?

WINSTONCH [101]

Answer:

No.

Step-by-step explanation:

9 · 4 = 36

36 · 2.25 = 81

6 0

3 years ago

I am in need of assistance.

Alex_Xolod [135]

Answer:

A. x = 6.08, x = -0.58

Step-by-step explanation:

$\displaystyle \frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24}=\frac{-3}{x-6}$

1. Factor the denominator.

$\displaystyle \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}$

2. Multiply the leftmost fraction by (x-6)/(x-6) to get common denominators.

$\displaystyle \Big ( \frac{x-6}{x-6} \Big ) \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}$

3. Simplify.

$\displaystyle \frac{2x^2-12x}{(x-4)(x-6)}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}$

4. Combine like terms.

$\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6}$

5. Multiply the right side of the equation by (x-4)/(x-4).

$\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6} \Big ( \frac{x-4}{x-4} \Big )$

6. Simplify.

$\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3x+12}{(x-6)(x-4)}$

7. "Cancel" out the denominators because they are equivalent.

$2x^2-14x+5=-3x+12$

8. Set the equation equal to 0.

$2x^2-11x-7=0$

Quadratic formula:

$\displaystyle x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}$

9. Factor using the quadratic formula.

$\displaystyle x = \frac{-(-11)\pm \sqrt{(-11)^2-4(2)(-7)} }{2(2)}$

10. Multiply and simplify.

$\displaystyle x = \frac{11 \pm \sqrt{177} }{4}$

11. Plug this into your calculator and solve for x.

$x=6.07603367 \approx 6.08$
$x=-0.57603367 \approx -0.58$

The correct answer is A. x = 6.08, x = -0.58.

8 0

3 years ago

Need help asap please help

adoni [48]

Answer:

x= 28°

Step-by-step explanation:

180-118=62

62+90=152

180-152=28

BAM x=28°

3 0

3 years ago

Read 2 more answers