Answer:
Driving time Denver to Aspen
Yes, it's about 3-1/2 hours from Denver to Aspen via Glenwood Springs. It's approx. 200 miles, all but the last 40 on I-70 interstate. The driving time will depend upon the weather and what day of the week you're traveling (I-70 can be jammed with skiers on Friday nights and Sat.
Step-by-step explanation:
Im smart
The measure of angle (m ∠A) is 136°
<h3>Vertical angles theorem</h3>
From the question, we are to find the measure of angle A
From the given information, we have that
∠A and ∠B are vertical angles
Thus
∠A = ∠B
and
Also, from the given information,
m ∠A=(2x+26)°
and
m ∠B= (3x−29)°
∴ (2x+26)° = (3x−29)°
Now, solve for x
2x + 26 = 3x - 29
26 + 29 = 3x - 2x
55 = x
∴ x = 55
But measure of angle A is given by
m ∠A=(2x+26)°
Put the value of x into the equation,
m ∠A=(2(55)+26)°
m ∠A=(110+26)°
m ∠A = 136°
Hence, the measure of angle (m ∠A) is 136°
Learn more on Vertical angle theorem here: brainly.com/question/24839702
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Given:
y is proportional to x.
y=10 and x=8.
To find:
The constant of proportionality and the equation for the proportional relationship.
Solution:
y is proportional to x.
![y\propto x](https://tex.z-dn.net/?f=y%5Cpropto%20x)
...(i)
Where, k is the constant of proportionality.
Putting y=10 and x=8, we get
![10=k(8)](https://tex.z-dn.net/?f=10%3Dk%288%29)
![\dfrac{10}{8}=k](https://tex.z-dn.net/?f=%5Cdfrac%7B10%7D%7B8%7D%3Dk)
![\dfrac{5}{4}=k](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B4%7D%3Dk)
Putting
in (i), we get
![y=\dfrac{5}{4}x](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B5%7D%7B4%7Dx)
Therefore, the contestant of proportionality is
and the equation for the proportional relationship is
.
Answer:
Out of every 5 rectangles 2 shall be purple.
3 scarves have 3 times 5 rectangles.
Thus they shall be 3 times 2 that are purple.
Step-by-step explanation: