angle 2 = 114°
supplementary angles sum to 180° thus
5y + 16 + 10y + 14 = 180
15y + 30 = 180
subtract 30 from both sides
15y = 180 - 30 = 150
divide both sides by 15
y = 
= 10
angle 1 = (5 × 10) + 16 = 50 + 16 = 66° and
angle 2 = (10 × 10) + 14 = 100 + 14 = 114°
Answer:
145°
Step-by-step explanation:
There are a couple of ways you can get there:
1. ∠ACB is a right angle, 90°. Hence, ∠BAC is the complement of ∠ABC, so is ...
... ∠BAC = 90° -∠ABC = 90° -55° = 35°
Then, ∠BAC and ∠BAD are a linear pair, so total 180°. That makes ∠BAD the supplement of ∠BAC, so ...
... ∠BAD = 180° -35° = 145°
2. ∠BAD is the exterior angle at A for the triangle ABC. It will have a measure that is the sum of the opposite interior angles: given ∠ABC = 55° and right angle ACB = 90°.
... ∠BAD = 55° +90° = 145°
Step-by-step explanation:
(25x+8)°+(9x+2)°=180--->(1)(sum of angles on a straight line
(7y+5)°=(9x+2)°------------->(2)(vertical angles)
25x°+8°+9x°+2°=180°
34x°=170°
x=5°
from equation (2) substitute for x=5°
7y°+5°=9x°+2°
7y°+5°=9(5)°+2°
7y°=47°-5°
7y°=42°
y=6°
(x, y)=(5°,6°)
Answer:
The profit = $(3x - 75) where x = number of t-shirts sold
Step-by-step explanation:
School spirit club wants to raise money by selling t-shirts. one local company charges a fixed fee of $75 for creating the design and $5 for each shirt that they print.
We have to find the club's income if they sell each t-shirt for $8.
Let the number of t-shirts that the club sell be equal to x.
So the cost of making x t-shirts = 75 + 5x
If the club sells x t-shirts , then the money they earn = 8x
Profit = selling price - cost price
= 8x - (75 + 5x)
= $(3x - 75)
The club also needs to sell at least 25 t-shirts to make a profit and from then on makes a profit of $3 on each t-shirt they sell.
Answer:
It’s 2 and 5
Step-by-step explanation:
