The supplement of < 72 has the same measure as < (4x + 8). Therefore, < (4x + 8) must equal 108°. We can establish the following equality statement to solve for x:
< (4x + 8) + < 72° = 180°
Combine like terms:
4x + 80 = 180°
Subtract 80 from both sides:
4x + 80° - 80° = 180° - 80°
4x = 100
Divide both sides by 4 to solve for x:
4x/4 = 100/4
x = 25
To verify whether the value of x is correct, substitute its value into the equality statement:
< (4x + 8)° + < 72° = 180°
< [4(25) + 8]° + < 72° = 180°
< (100 + 8)° + < 72° = 180°
< 108° + < 72° = 180°
180° = 180° (True statement. Therefore, the correct answer is x = 25).
Please mark my answers as the Brainliest if you find this helpful :)
It is currently 03:00 PM, the family will reach at 03:00+4.5 = 07:30 PM
Step-by-step explanation:
We have to calculate the speed first to find the time it will take the family to complete the trip.
Given
Distance = d = 25 miles
Time = t = 1/2 hours = 0.5 hours
Now,
Distance remaining = 225 miles
Speed = 50 miles per hour
As we see that the time required to complete the journey is 4.5 hours.
It is currently 03:00 PM, the family will reach at 03:00+4.5 = 07:30 PM
Keywords: Speed, Distance
Learn more about speed at:
#LearnwithBrainly
Based on the information given about corruption, it is vital for the business to showcase how investors look to invest and create job opportunities.
<h3>What is corruption?</h3>
Corruption simply means a form of dishonesty or a criminal offense undertaken by a person or an organization.
In order to enhance the probability that the foreign government would accept your proposal, it is important to convince the foreign government will need to showcase how investors look to invest and create job opportunities and its potential impact on GDP and wages.
Learn more about corruption on:
brainly.com/question/472198
Answer:
The answer is (-0.7, -9.4)
Step-by-step explanation:
1) Since we are using the substitution method, and we know that y = 2x-1, in the first equation, plug that into y. It should look like this:
4x-2(12x-1) = 14
4x -24x + 2 = 14
2) Combine like terms and continue to simplify until you get a direct answer for each variable.
-20x + 2 = 14.
-20x = 12.
x = -7/10 (or -0.7)
3) Now we know what x equals, so to find our y-coordinate, we will plug this into either equation.
y = 12(-7/10) -1
y= -84/10 -1
y= -9.4
4) Now that we have our x value and y value, we know our point. The solution is (-0.7, -9.4).
