Answer:
∠ K = 35° and ∠ L = 105°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
let ∠ K = x then ∠ L = 3x
Sum the angles and equate to 180
3x + x + 40 = 180, that is
4x + 40 = 180 ( subtract 40 from both sides )
4x = 140 ( divide both sides by 4 )
x = 35
Thus
∠ K = 35° and ∠ K = 3x = 3 × 35 = 105°
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°
200mm is the right answer
Answer: 2214 people
Step-by-step explanation
2706*100/55 is the total amount of people. There are 4920 people there. subtract that by 2706, and you get 2214. Please tell me if im wrong
Answer:
a.H0: μ =530mL vs. Ha: μ > 530mL
Step-by-step explanation:
-A hypothesis test will be used to provide evidence that the median is more or equal to the stated median value.
#In a normally distributed population, the mean=mode=median:

-The null hypothesis states that the median is equal to the stated value:

-The alternative hypothesis provides evidence that the median value is greater than the stated value:

Hence, the correct hypotheses are H0: μ =530mL vs. Ha: μ > 530mL