Answer:
3 1/2
Step-by-step explanation:
|-7| - |-3 1/2| = 3 1/2
Answer:
m∠1=80°, m∠2=35°, m∠3=33°
Step-by-step explanation:
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
step 1
Find the measure of angle 1
In the triangle that contain the interior angle 1
∠1+69°+31°=180°
∠1+100°=180°
∠1=180°-100°=80°
step 2
Find the measure of angle 2
In the small triangle that contain the interior angle 2
∠2+45°+(180°-∠1)=180°
substitute the value of angle 1
∠2+45°+(180°-80°)=180°
∠2+45°+(100°)=180°
∠2+145°=180°
∠2=180°-145°=35°
step 3
Find the measure of angle 3
In the larger triangle that contain the interior angle 3
(∠3+31°)+69°+47°=180°
∠3+147°=180°
∠3=180°-147°=33°
Answer:
Step-by-step explanation:
P = 1800 + 700x - 100x²
Find x when p = $2,800
2,800 = 1800 + 700x - 100x²
- 100x² + 700x + 1800 - 2800 = 0
-100x² + 700x - 1000 = 0
- x² + 7x - 10 = 0
a = -1
b = 7
c = -10
x = -b ± √b² - 4ac / 2a
x = -7 ± √7² - 4(-1)(-10) / 2(-1)
= -7 ± √49 - 40 / -2
= -7 ± √9 / -2
= -7 ± 3 / -2
= (-7 + 3) / -2 or (-7 - 3) / -2
= -4 / -2 or -10 / -2
x = 2 or 5
x = 2 items for smaller value
x = 5 items for larger value
Answer:
A 70°
Step-by-step explanation:
Angle of the triangle
=180-60-60
=60°
x= 180-60-50
=120-50
=70°
