Answer:
DBC = 75
Step-by-step explanation:
ABD and DBC are supplementary angles. They add to 180 degrees.
ABD + DBC = 180
105 + DBC = 180
Subtract 105 from each side
105-105 + DBC = 180-105
DBC = 75
Solution:
<u>Note that:</u>
- 2(Perimeter of smaller triangle) = Perimeter of larger triangle
<u>Using the perimeter of the smaller triangle, solve for x.</u>
- 2(Perimeter of smaller triangle) = Perimeter of larger triangle
- => 2(3.5 + x + h) = 7 + 4 + 2h
- => 7 + 2x + 2h = 7 + 4 + 2h
- => 2x = 4
- => x = 2
The length of x is 2 units.
Answer:
y=3x-2
Step-by-step explanation:
Because the equation for slope intercept form is y=mx+b!
Answer:
Step-by-step explanation:
The opposite angles of an inscribe quadrilateral are supplementary.
angle P + angle R = 180
6x + 7 + 12x + 11 = 180
18x + 18 = 180
18x = 162
x = 9
Now we will substitute in the value of x to find angle P and R.
angle P = 6(9)+7 = 61
angle R = 12(9)+11 = 119
Now we will find the value of y.
angle Q + angle S = 180
10y + 7 + 3(3y + 7) = 180
10y + 7 + 9y + 21 = 180
19y + 28 = 180
19y = 152
y = 8
Now substitute in the value of y to find angle Q and S.
angle Q = 10(8)+7 = 87
angle S = 3(3*8+7) = 93
Hope this helps :)
