Answer:
x = 114
Step-by-step explanation:
since the triangles are congruent then corresponding angles are congruent, then
∠ C = ∠ D , that is
x + 18 = 132 ( subtract 18 from both sides )
x = 114
a. The construct the expression for the area of the rectangle in terms of x is y=2.5x
b. The area should be 2,560.
Given that,
- the length of a rectangular house is two and a half times its width.
Based on the above information, the calculation is as follows:
a) The expression should be y = 2.5x
b) The area should be
= 2560
Learn more: brainly.com/question/1301963?referrer=searchResults
Answer:
The simplified form would ve -19 - 4x
Step-by-step explanation:
Before we combine anything, we first must expand the expression by distributing the -3 to the terms in the parenthesis.
-7 - 3(4 - 2x) - 10x
-7 - 12 + 6x - 10x
Now we can combine the terms with and without variables.
-19 - 4x
Blue I’m pretty I can’t see a picture but I’m pretty sure blue
Answer:
The total distance covered is 15.6 miles.
Step-by-step explanation:
One day you warm up for 15 minutes at a pace of 0.1 miles per 25 seconds.
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. If the relationship between the magnitudes is direct, like in this case, the direct rule of three can be applied as follow:
a ⇒ b
c ⇒ x
Then ![x=\frac{c*b}{a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bc%2Ab%7D%7Ba%7D)
First, the simple rule of three can be applied in the following way: if 1 minute equals 60 seconds, 15 minutes equals how many seconds?
![seconds=\frac{15 minutes*60 seconds}{1 minute}](https://tex.z-dn.net/?f=seconds%3D%5Cfrac%7B15%20minutes%2A60%20seconds%7D%7B1%20minute%7D)
seconds= 900
So now you can apply the following rule of three: if in 25 seconds you travel 0.1 miles, in 900 seconds how many miles do you travel?
![distance=\frac{900 seconds*0.1 miles }{25 seconds}](https://tex.z-dn.net/?f=distance%3D%5Cfrac%7B900%20seconds%2A0.1%20miles%20%7D%7B25%20seconds%7D)
distance= 3.6 miles
If you then ride hard for 12 miles, the total distance traveled will be the sum of both:
3.6 miles + 12 miles = 15.6 miles
<u><em>The total distance covered is 15.6 miles.</em></u>