Answer:
48mins.
Step-by-step explanation:
![\frac{2}{5} \times 120 = 0.4 \times 120 = 48](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B5%7D%20%20%5Ctimes%20120%20%3D%200.4%20%5Ctimes%20120%20%3D%2048)
Hence, Option B: 105 is the correct answer
Further explanation:
We can see that when a traversal intersects two parallel lines alternate angles and corresponding angles are form.
In the given diagram,
7x and 5x+30 are alternate interior angles
while
y and 7x are corresponding angles.
When a traversal intersects two parallel lines, the alternate interior angles and the corresponding angles are equal.
So,
![7x=5x+30\\7x-5x=30\\2x=30\\\frac{2x}{2}=\frac{30}{2}\\x=15\\7x = 7*15\\=105](https://tex.z-dn.net/?f=7x%3D5x%2B30%5C%5C7x-5x%3D30%5C%5C2x%3D30%5C%5C%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B30%7D%7B2%7D%5C%5Cx%3D15%5C%5C7x%20%3D%207%2A15%5C%5C%3D105)
As we know thaty=7x
so y=105°
Hence, Option B: 105° is the correct answer
Keywords: Parallel lines, Alternate angles, Corresponding angles
Learn more about parallel lines at:
#learnwithBrainly
Answer: (2;20)
x is the independent variable - number of days (2)
y is the dependent variable - number of tubes (20)
Step-by-step explanation:
Hi to answer this we have to write an equation for each case.
The amount of cookie dough (y) that mike sells is equal to the sum of the 10 already sold tubes and the product of the tubes sold per day (5) and the number of days (x)
Mike ⇒y= 10 + 5x
Same process for Tommy
Tommy⇒ y= 10x
IF they sell l the same amount of cookie dough
y=y
So
10 + 5x =10x
10 =10x-5x
10=5x
10/5 = x
x = 2 days
They will sell the same amount of cookie dough after 2 days .
To find the amount sold in number of tubes, we simply replace the value of "y" by 2 in both equations.
y(2)= 10 + 5(2) = 10+10=20 tubes
y(2)= 10(2) =20 tubes
x is the independent variable - number of days
y is the dependent variable - number of tubes
Represented as an (x,y) coordinate pair. (2; 20)
Answer: the expression is
A = Sin^-1(D/bc)
Step-by-step explanation:
The formula for determining the area of a triangle is expressed as
Area = bcSinA
Where b and c are the length of each side of the triangle. Angle A is the given angle corresponding to side a.
The area of the given triangle is D. It means that
D = bcSinA
Therefore, the expression that can be used to find the measure of angle A would be
D = bcSinA
Dividing both sides of the equation by bc, it becomes
D/bc = bcSinA/bc
SinA = D/bc
Taking inverse of sine of both sides of the equation, it becomes
A = Sin^-1(D/bc)