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kicyunya [14]
2 years ago
7

Perpendicular lines AB and CD Intersect at point E. If m<AED=×+20, wha is the value of x​

Mathematics
1 answer:
vladimir1956 [14]2 years ago
3 0

Answer:

x = 70°

Step-by-step explanation:

Itz given that AB & CD are perpendicular to each other and intersect at E . So , angle(AED) = 90°

But here the value of angle(AED) = 90°

So,

x + 20 = 90°

=> x = 90° - 20°

= 70°

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How to work -1x-2y=-13 x-2y=11 equation by substitution
Norma-Jean [14]
Well if you're wanting to use substitution, you first have to end up with one term on either side of the equation. Use the second one as it's easiest. 

So: x-2y=11, so find -2y as there is a -2y in the first equation. 
then that becomes -2y=11-x. then sub that into equation 1, and you get:

-x+11-x=-13, which equals to -2x+11=-13, which is -2x=-24, so therefore

x=12. then chuck the x into any of the equations to find what y equals. 

hope this helps!
5 0
2 years ago
Help ? I need steps on how to do this
Furkat [3]

<em>Answer</em><em> </em><em>:</em><em>-</em><em> </em>

<em>the</em><em> </em><em>quoti</em><em>ent</em><em> </em><em>is</em><em> </em><em>(</em><em> </em><em>4</em><em>x</em><em>²</em><em> </em><em>-</em><em> </em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>7</em><em> </em><em>)</em>

Step-by-step explanation:

[ Refer to the attachment for steps ]

  • We have to eliminate the highest degree coefficient in each step.

  • And as in division of normal numbers we subtract the things here we do the same ,

but while subtracting we have to take care about the signs !

  • The negative sign changes the negative sign into positive sign and positive sign into negative sign.

  • Whereas , a positive sign don't changes the sign.

8 0
2 years ago
Please help me with question number 2
Mice21 [21]

Answer:

2. The area of the side walk is approximately 217 m²

3. The distance away from the sprinkler the water can spread is approximately 11 feet

4. The area of the rug is 49.6

Step-by-step explanation:

2. The dimensions of the flower bed and the sidewalks are;

The diameter of the flower bed = 20 meters

The width of the circular side walk, x = 3 meters

Therefore, the diameter of the outer edge of the side walk, D, is given as follows

D = d + 2·x (The width of the side walk is applied to both side of the circular diameter)

∴ D  = 20 + 2×3 = 26

The area of the side walk = The area of the sidewalk and the side walk = The area of the flower bed

∴ The area of the side walk, A = π·D²/4 - π·d²/4

∴ A = 3.14 × 26²/4 - 3.14 × 20²/4 = 216.66

By rounding to the nearest whole number, the area of the side walk, A ≈ 217 m²

3. Given that the area formed by the circular pattern, A = 379.94 ft.², we have;

Area of a circle = π·r²

∴ Where 'r' represents how far it can spread, we have;

π·r² = 379.94

r = √(379.94 ft.²/π) ≈ 10.997211 ft.

Therefore, the distance away from the sprinkler the water can spread, r ≈ 11 feet

4. The circumference of the rug = 24.8 meters

The circumference of a circle, C = 2·π·r

Where;

r = The radius of the circle

π = 3.1

∴ For the rug of radius 'r', C = 2·π·r = 24.8

r = 24.8/(2·π) = 12.4/π = 12.4/3.1 = 4

The area = π·r²

∴ The area of the rug = 3.1 × 4² = 49.6.

8 0
2 years ago
Miguel runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes
Karo-lina-s [1.5K]
You can write this in a proportion way: 6/55 = x/44.
Multiply both sides by 11 to get rid of the 55 and 44: 6/5 = x/4
Now, multiply both sides by 20: 5x = 24. x = 4.8

Therefore, he can run 4.8 miles in 44 minutes.
8 0
3 years ago
Read 2 more answers
Which value of gg g g makes 26=7(g−9)+1226=7(g-9)+12 26=7(g−9)+12 26, equals, 7, left parenthesis, g, minus, 9, right parenthesi
shtirl [24]

Answer:

The value of g that makes the statement true is 11.

Step-by-step explanation:

The statement is 26 = 7(g - 9) + 12 wich is an equation. In order to find the value of g that satisfies the equation we need to isolate the variable of interest, in this case g. We have:

7*(g-9) + 12 = 26

7*(g-9) = 26 - 12

7*(g-9) = 14

(g-9) = 14/7

(g-9) = 2

g = 2 + 9 = 11

The value of g that makes the statement true is 11.

8 0
3 years ago
Read 2 more answers
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