We recognize that two angles, ∠UVW and ∠XYZ, are complementary, which means their sum is 90°.
Their measures are given as:
∠UVW = x - 10
∠XYZ = 4x - 10
Adding these, we have:
(x - 10) + (4x - 10) = 90
Simplifying:
5x - 20 = 90
Adding 20 to both sides:
5x = 110
Dividing by 5:
x = 22
Substituting back:
∠UVW = 22 - 10 = 12°
∠XYZ = 4(22) - 10 = 78°
Therefore, the values are:
x = 22°
∠UVW = 12°
∠XYZ = 78°
Add 3b to both sides, then simplify. Next, divide both sides by 6 and simplify it further, leading to the result of a = 4b/3.
Answer:
How much is the rent? And how many clothes does she want to buy?
Step-by-step explanation:
Answer: £164.50
Reducing 175 by 6% results in 164.5.
The absolute change is:
164.5 - 175 = -10.5
Step-by-step explanation:
The calculation is as follows:
175 - Percentage decrease =
175 - (6% × 175) =
175 - 6% of 175 =
(1 - 0.06) × 175 =
0.94 × 175 =
94 ÷ 100 × 175 =
94 × 175 divided by 100 =
16,450 ÷ 100 =
164.5
So, the final amount is £164.50
Answer:
An eight-digit grid coordinate allows for precision within 10 meters.
Step-by-step explanation:
Grid coordinates are designed to direct accurately to a specific location by using a map that includes equally spaced vertical and horizontal lines, each assigned numbers to outline a place. The intersection of these vertical and horizontal lines has unique identifiers and creates small sections called grid squares.
The precision increases with the number of digits in the coordinate; an eight-digit designation gives accuracy to the nearest 10 meters.
