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: -7
Step-by-step explanation: The sea level is at 0 so 0-7= -7
The area are in the ratio of the squares of corresponding sides.
That is 15^2 : 20^2 = 225:400
so the area of the smaller figure = (225/400) * 64
= 0.5625 * 64
= 36 cm^2 (answer)
these are the answers to all systems
Answer:
558 cm^3
Step-by-step explanation:
V cone = 1/3 pi r^2 h
We know it is 186 cm^3
186 =1/3 pi r^2 h
Multiply by 3
558 = pi r^2 h
V cylinder = pi r^2 h
From above we know that pi r^2 h is 558 , so the Volume of the cylinder is 558 cm^3
