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°
Slope = (6 - 3)/(-2-2)
= 3/-4
= -3/4
answer
slope = -3/4
Answer:
-3<n<=5
Step-by-step explanation:
This is because the coloured circle on the number line means that the number is less than or equal to 5
Answer:
11
Step-by-step explanation:
Answer:
The length of the diagonal support is 69 feet.
Step-by-step explanation:
Dimensions of the box: length = 6 feet
width = 5 feet
height = 8 feet
The diagonal support relates with the diagonal of the base and the height.
From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;
= 
+ 
= 
+ 
= 36 + 25
= 61
x = 
= 7.81
let the length of the diagonal support be represented by l. So that;
= +
= + 
= + 64
l = 
= 61 + 8
= 69
Thus, the length of the diagonal support is 69 feet.
