<span>75 + 45
First let's find the greatest common factor.
75: 1, 3, 5, 15, 25, 75
45: 1, 3, 5, 9, 15, 45
Their GCF is 15.
To get 75, you multiply 15 by 5.
To get 45, you multiply 15 by 3.
Therefore, 15(5 + 3) = 75 + 45.
</span><span>B. 15(5 + 3)
</span>
Answer:
2/9 is the correct option.
Step-by-step explanation:
As the spinner is numbered 2, 4 and 5
The general formula for probability :
P(A) = n(A) / n(S)
n(S) is the number of whole states occur in two spins which is 3 × 3 = 9
n(A) is the event that Rico will get a product of 20.
n(A) = 2 ∵ 4 × 5 and 5 × 4 will bring the product 20.
Therefor, the probability that Rico will get a product of 20 when Rico spins the spinner twice will be:
P(A) = n(A) / n(S)
= 2/9
Therefore, 2/9 is the correct option.
Ounces in a cup of milk because it's the biggest. very small or very large numbers need to be written in scientific notation
Answer:
G. ABD = 74
H. DBC = 206
I. XYW = 33.75
J. WYZ = 46.25
Step-by-step explanation:
For G and H: You have a straight line (ABC) with another line coming off of it, creating two angles (ABD and DBC). A straight line has an angle of 180 degrees. This means that the two angles from the straight line when combined will give you 180 degrees. Solve for x.
ABD + DBC = ABC
(1/2x + 20) + (2x - 10) = 180
1/2x + 20 + 2x - 10 = 180
5/2x + 10 = 180
5/2x = 170
x = 108
Now that you have x, you can solve for each angle.
ABD = 1/2x + 20
ABD = 1/2(108) + 20
ABD = 54 + 20
ABD = 74
DBC = 2x - 10
DBC = 2(108) - 10
DBC = 216 - 10
DBC = 206
For I and J: For these problems, you use the same concept as before. You have a right angle (XYZ) that has within it two other angles (XYW and WYZ). A right angle has 90 degrees. Combine the two unknown angles and set it equal to the right angle. Solve for x.
XYW + WYZ = XYZ
(1 1/4x - 10) + (3/4x + 20) = 90
1 1/4x - 10 + 3/4x + 20 = 90
2x + 20 = 90
2x = 70
x = 35
Plug x into the angle values and solve.
XYW = 1 1/4x - 10
XYW = 1 1/4(35) - 10
XYW = 43.75 - 10
XYW = 33.75
WYZ = 3/4x + 20
WYZ = 3/4(35) + 20
WYZ = 26.25 + 20
WYZ = 46.25
