Answer:
The answer to your question is 900 miles
Step-by-step explanation:
Data
Consumption = 6 mi/gallon
total fuel = 150 gallons
number of miles = ?
Process
1.- To solve this problem use proportions and cross multiplication
6 miles ------------------ 1 gallon
x ------------------ 150 gallons
x = (150 x 6) / 1
-Simplification
x = 900 / 1
-Result
x = 900 miles
Answer:
- ∠CDE ↔ 50°
- ∠FEG ↔ 75°
- ∠ACB ↔ 55°
Step-by-step explanation:
To solve angle problems like this, you make use of three relations:
- linear angles have a sum of 180°
- angles in a triangle have a sum of 180°
- vertical angles have the same measure
The attached diagram shows the measures of all of the angles of interest in the figure. The ones shown in blue are the ones that have the measures and names on the list of answer choices.
__
A good place to start is with the linear angle pair at A. Since the sum of the two angles is 180°, the angle at A that is inside the triangle will be ...
180° -130° = 50°
Then the missing angle in that triangle at C will have the measure that makes the sum of triangle angles be 180°:
∠ACB = 180° -50° -75° = 55° . . . . . this is one of the angles on your list
Similarly, the angle at E inside triangle FEG will have a measure that makes those angles have a sum of 180°:
∠FEG = 180° -60° -45° = 75° . . . . . this is one of the angles on your list
__
The two angles whose measures we just found are vertical angles with the base angles in triangle CDE, so that triangle's angle D will have a measure that makes the total be 180°.
∠CDE = 180° -55° -75° = 50° . . . . . this is one of the angles on your list
Answer:
0.08
Step-by-step explanation:
8 / 95.44 = 0.08
Hope this helps!
Answer:
Maria and Josie working together can complete the work in= 1 hour and 20 minutes
Step-by-step explanation:
Given:
Time taken by Maria to print and laminate signs = 4 hours
Time taken by Josie to print and laminate signs = 2 hours
Solution:
Rate of work done by Maria =
per hour
Rate of work done by Josie =
per hour
Let them work for
hours together.
In
hours work done by Maria =
In
hours work done by Josie = 
Total work done by both = 
If they complete the work in
hours, then we can write as:

Solving for 
Multiplying both sides by 

∴
hours = 1 hour and 20 minutes [As
of an hour =20 minutes.
So, Maria and Josie working together can complete the work in= 1 hour and 20 minutes
Answer: DNE
Step-by-step explanation:
For 1 and 3