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never [62]
3 years ago
9

Angle b and Angle g are known as alternate ___________ angles.

Mathematics
2 answers:
Bad White [126]3 years ago
8 0

Answer:

Angle b and Angle g are known as alternate exterior angles.

Step-by-step explanation:

Alternate exterior angles are two angles that are on the exterior of and , but on opposite sides of the transversal.

Clearly from the figure we could see that line AB and CD are parallel and there is a transversal cutting both the lines and angle b and angle g lie opposite and are the exterior angle.

Hence, b and g form a pair of alternate exterior angles.

Afina-wow [57]3 years ago
4 0
Alternate exterior angles because the are OUTSIDE of the parallel lines
You might be interested in
What is 10+8+30x20 equal
Leviafan [203]
Using the Order of Operations, this simplifies to 10+8+600 because you multiply before adding. Then you would simply add up the remaining numbers, making it 618.
The answer is 618.

I hope this helps!
3 0
3 years ago
The perimeter of a rectangle is 30.8 km and it’s diagonal length is 11 km. Find it’s length and width
blsea [12.9K]

Answer:

Length of the rectangle is 15.0325 km and width is 0.3765 km.

Explanation:

Given:

Perimeter of a rectangle = 30.8 km

Length of diagonal of rectangle = 11 km

To find:

The length and width of rectangle=?

Solution:

Lets assume length of the rectangle = x km

And assume width of the rectangle = y km

Lets first create equation using given  perimeter

perimeter of rectangle = 2 ( length +  width )

=> 30.8 km = 2 ( x + y )  

=>x + y = \frac{30.8}{2}

=> y = 15.4 – x             ------(1)

As diagonal and two sides of rectangle forms right angle triangle whose hypoteneus is diagonal ,  

=> length^2 + width^2 = diagonal^2

=> x^2 + y^2 = 11^2

=> x^2 + y^2 = 121

On substituting value of y from (1) in above equation we get

=> x^2 + (15.4-x)^2 = 121

=>x^2 + (15.4)^2 + x^2 – 2 x 15.4 \times x   = 121

=> 2x^2-30.8x + 237.16 -121  = 0

=> 2x^2-30.8x + 116.16 = 0

Solving above quadratic equation using quadratic formula

General form of quadratic equation is  

ax^2 +bx +c = 0

And quadratic formula for getting roots of quadratic equation is  

x= \frac{ -b\pm\sqrt{(b^2-4ac)}}{2a}

As equation is 2x^2-30.8x + 116.16 = 0, in our case

a = 2 ,  b = -30.8 and c = 116.16

Calculating roots of the equation we get

x=\frac{ -(-30.8)\pm\sqrt{(-30.8)^2-4(2)( 11)} } {(2\times2)}

x=\frac{30.8\pm\sqrt{(948.64-88)}}{4}

x=\frac{30.8\pm\sqrt{860.64}}{4}

x=\frac{30.8\pm\sqrt{860.64}}{4}

x=\frac{(30.8\pm29.33)}4

x=\frac{(30.8+29.33)}{4}

x=\frac{(30.8-29.33)}{4}

=> x = 15.0325 or x = 0.3675

As generally length is longer one ,  

So x = 1.0325

From equation (1) y = 15.4 – x = 0.3765

Hence length of the rectangle is 15.0325 km and width is 0.3765 km.

6 0
3 years ago
Use an integer to represent 15 feet and below sea level
Vitek1552 [10]

Answer:

-15 would be the answer because if it's below sea level it would have a negative sign in front of 15

Step-by-step explanation:

5 0
1 year ago
PLEASE ANSWER QUICK One year, the population of a city was 164,000. Several years later it was 182,040. Find the percent increas
Katena32 [7]

Answer:

There was an 11% increase.

Step-by-step explanation:

The formula to find a percent increase is this: (original amount - new amount / original amount) * 100

If you fill in the formula, you get this:

(164,000 - 182,040 / 164,000) * 100

Solve:

(-18,040 / 164,000) * 100 ---> If the number being divided is negative, find the absolute value.

(18,040 / 164,000) * 100 =

0.11 * 100

11%

5 0
3 years ago
Help plz : 4x-2(x-3)=10+(-9)
Dominik [7]
Distribute -2(x - 3)

4x - 2x + 6 = 10 + -9

Simplify

2x = -5

x = -2.5
7 0
3 years ago
Read 2 more answers
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