Answer: 1 and 4
Step-by-step explanation: just did it
A rectangle is a quadrilateral that has two sets of parallel sides. Each side of the rectangle forms a 90 degrees with the other side. If diagonals are drawn, the lines will divide the angle into two having an angle 90 degrees. Therefore, 90 degrees is the answer hope its help you
It sounds like everything is being described in reference to angle A, so a good starting point is to pick a variable to represent the measure of angle A. I'm going to use "a" for that.
Next, I'm going to take the verbal descriptions in the problem and "translate" them into "math language". They say angle B is 5 times angle A, so that means the measure of angle B is actually 5a. The size of angle C is 5 degrees less than 4 times the size of A, so that translates to 4a-5.
We now know the following:
Angle A: a
Angle B: 5a
Angle C: 4a-5
Now, to find the value of a, we need to remember that all the angles in a triangle add up to 180 degrees.
So we have: a+5a+4a-5 = 180
We can solve that equation by combining like terms to get: 10a-5=180
We can add 5 to both sides: 10a =185
And divide by 10: a = 18.5
That tells us the measure of angle A! (It's 18.5 degrees). Now we can go back and find B by multiplying A by 5. We get 92.5 degrees for that.
Finally, we can find C by taking 4*18.5-5. We get 69 degrees for that.
One last thing-- let's check that they really do add up to 180! 69+92.5+18.5 = 180. Yep!
Hope that helps you!!
Answer:
T ≥ -2
Step-by-step explanation:
Given
Temperature = 2° below 0°
Required
Represent as an inequality
First, we need to calculate the temperature in the morning.
2° below 0 means.
Temperature = 0° - 2°
Temperature = -2°
Next, we determine the temperature at any time.
The question says the temperature continues to rise during the day.
Represent this with T
This means T will be greater than -2°
However, we need to consider where the temperature started from.
In other words, T = -2
Combine T = -2 and T = -2 together, we have:.
T ≥ -2
Hence, the inequality that represents the scenario is T ≥ -2
Answer:
n=209 answer for number 1.
