∠ADC = 112°
∠ADC =6x + 7 + 12x - 3
Equate both:
6x + 7 + 12x - 3 = 112
Solve for x :
6x + 7 + 12x - 3 = 112
Combine like terms:
18x + 4= 112
Take away 4 from both sides:
18x = 108
Divide both sides by 18:
x = 6
Find ∠ADB:
6x + 7 = 6(6) + 7 = 43
Answer: ∠ADB = 43°
Answer:
<em>Bree spoke at 55 assemblies in this district.</em>
Step-by-step explanation:
Bree speaks at school assemblies charging a school district a total cost C modeled by the equation:
C(a) = 50a+1,500
Being a the number of assemblies attending the meeting.
It's given Bree charged the Escambia City School District $4,250 to speak at school assemblies.
We can find the number of assemblies by solving the equation:
50a+1,500=4,250
Subtracting 1,500:
50a=4,250-1,500=2,750
Dividing by 50;
a = 2,750 / 50=55
Bree spoke at 55 assemblies in this district.
Answer:
3 ÷ 1/3 = 9
Step-by-step explanation:
= 3 ÷ 1/3
= 3/3 (3/1) ÷ 1/3
= 9/3 × 3/1
= 9/1
= 9
Step-by-step explanation:
the area is
length × width
(3x - 2) × width = 9x² - 4
to find width we could do a real polynomial division or simply recognize the fact that
(a + b)(a - b) = a² - b²
and we see that in our area calculation we are missing the (a + b) factor.
so, width = (3x + 2)
but if you want the division :
9x² - 4 : 3x - 2 = 3x + 2
- 9x² - 6x
-----------------
0 6x - 4
- 6x - 4
----------------------
0 0
again, width = (3x + 2)
Answer:
Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis
.
Step-by-step explanation:
The shape is moved to the opposite quadrant of the second shape then flied directly onto the second shape.
