Answer:
Step-by-step explanation:
the triangles are similar because they are proportional. the 3 sides of 2 triangles fall in a particular table.
Well we know these two angles are congruent, so we set their angles equal to each other.
5w - 69 = w + 3
4w = 72
w = 18
Now we plug w back into one of the equations, and then multiply whatever number we get by 2.
18 + 3 = 21
21 x 2 = 42
The measure of STU is 42°
Answer:
w < 9
Step-by-step explanation:
w + 9 < 18
To solve this inequality, we MUST get the w by itself
Subtraction Property of Equality w + 9 - 9 < 18 - 9
Answer w < 9
Join the centre O to the chord (let it be MN) & let OH be the perpendicular to the chord
OH bisects MN into 2 equal parts (each one is x/2)
OMH is a right triangle with one side =8, the second leg =x/2 & the hypotenuse = 12 (Radius)
Apply Pythagoras:
12² = 8² +(x/2)² ==>144=64 + x²/4 ==> x²=4(144-64) =320
x²=320==> x=√320 =17.88 ≈17.9
Answer:
Step-by-step explanation:
From the question, Diana wants her total bill to be less than $50.
Diana pays a fixed monthly bill of
$39 for her mobile phone and an additional
$0.15 per minute for phone internet service.
The bill Diana pays for m minutes of using the internet is $0.15m in a month.
The total monthly bill becomes,
The maximum bill she wants to pay is $50.
This inequality can be solved to determine the number of available minutes.