Answer: m∠5 = m∠7 = 67°
because a//b => m∠4 + m∠5 = 180°
⇔ 113° + m∠5 = 180°
⇔ m∠5 = 180 - 113 = 67°
because ∠5 and ∠7 are 2 opposing angles
=> m∠5 = m∠7 = 67°
Step-by-step explanation:
Answer:
m ∠5 = 67°m ∠7 = 67°Step-by-step explanation:
Givena║b, m ∠ 113To findm ∠5, m ∠7SolutionAngles 4 and 5 are same side interior angles and their measures add up to 180° as per definition:
m ∠ 4 + m ∠5 = 180°m ∠5 = 180 ° - m ∠4 m ∠5 = 180° - 113° = 67°Angles 5 and 7 are vertical angles and they have equal measure as per definition of vertical angles:
m ∠7 = m ∠5 = 67°If every 1 in 20 plants will not bear fruit. If 200 plants are planted, how many will produce fruit?
Answer:
Step-by-step explanation:
If 1 /20 will not bear fruit then
19/20. Will bear fruit
use ratio method
19/20 = x/200
find x by finding an equivalent fraction
x = 190
190 plants will produce fruit
A party planner estimates a party will cost $200 plus $8 for each person attending. What is the y-intercept of the graph of the linear function representing the total cost of the party?
Answer:
The y intercept is 200
Step-by-step explanation:
Given
Base Cost = 200
Per person =8
Required
Determine the y intercept
First, we need to determine the equation.
The total amount (y) for x persons can be calculated using:
y = Base Cost + Amount per person * x.
This gives
y = 200 + 8 * x
y = 200 + 8x
The general expression of a linear equation is:
y = mx + b
Where b = y intercept
By comparison,
b = 200
Hence, the y intercept is 200