The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.

In this case, the angle is subtended by an arc measuring 180°. So

(4x + 6)° = 1/2 • 180°

4x + 6 = 90

4x = 84

x = 21

7 0

2 years ago

Ater a blizzard the amount of snow on the ground melted by 3 inches one day and then another 8 inches the next day. Write an exp

Hoochie [10]

Answer:

11 inches

Step-by-step explanation:

Let the level of ground level be g

On first day, amount of snow melted by 3 inches

So, level of ground melted= (g- 3) inches

Next day, amount of snow melted by 8 inches

So, level of ground level melted = (g- 3-8 )inches

Hence, total change in the ground level = ( g- 11) inches

Hence, amount of snow on ground level melted by 11 inches

Hence, the correct answer is 11 inches

6 0

4 years ago

How do I solve system of equations substitution method??!!?!???

adelina 88 [10]

For example:

x+2y=7
6x+7y=2
__________

x=7-2y *
6*(7-2y)+7y=2 **

__________

x=7-2y
42-12y+7y=2
__________

x=7-2y
-5y=-40
__________

x=7-2y
y=8

x=-9

8 0

3 years ago