Answer:
x=72 and the exterior angle is 154
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +10) form a straight line so they make 180 degrees.
y + 2x+10 =180
Solve for y by subtracting 2x+10 from each side.
y + 2x+10 - (2x+10) =180 - (2x+10)
y = 180-2x-10
y = 170-2x
The three angles of a triangle add to 180 degrees
x+ y+ 82 = 180
x+ (170-2x)+82 = 180
Combine like terms
-x +252=180
Subtract 252 from each side
-x+252-252 = 180-252
-x = -72
Multiply each side by -1
-1*-x = -72*-1
x=72
The exterior angle is 2x+10. Substitute x=72 into the equation.
2(72)+10
144+10
154
Answer: 64 lbs
Step-by-step explanation:
I divided 56/140 and got 0.4. Then multiplied 0.4 by 160 and got 64. SOunds about right to me.
You can double check by multipling 0.4 by 140 and you get 56.
Answer:
m = 1.8
Step-by-step explanation:
Given data is as follows :
x 1 2 3 4 5 6
f 1 4 7 m 6 3
We need to find the value of m if the mean of the data is 3.8.
Mean = sum of observations/no. of observations
So,
So, the value of m is equal to 1.8.
Answer:
C because elements are form by atoms and when we study about atom we draw atom like circle
so, that's why I think C is correct
Step-by-step explanation:
32 grams = water mass + sugar mass . 100% syrup=75% water+ 25%sugar
original water content= 32*75/100=24 grams
original sugar content= 32*25/100= 8grams
total mass at 10% syrup:
8grams/total mass=10%=0.1
total mass=8/0.1=80grams
total mass of water=80grams- 8grams of sugar content= 72 grams
total mass of water added=72grams- 24grams original water content= 48grams.
answer: 48grams
