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:
8,100,000,000
Step-by-step explanation:
I used a calculator lol
The rectangle's area decreased by 19%.
Length = L
Breadth = B
Original area = L x B
New area = A = L x (1 + 25%) x B x (1 - 25%)
A = L x B x 0.25 x 0.75 = L x B x 1.05
Therefore the area of the rectangle has decreased by 19%.
To find the location of a rectangle, multiply its width by means of its height. If we understand the sides of the rectangle which are different lengths, then we have each the height and the width.
The perimeter P of a rectangle is given through the system, P=2l+2w, wherein l is the period and w is the width of the rectangle. The area A of a rectangle is given by means of the method, A=lw, in which l is the duration and w is the width.
Learn more about rectangle here brainly.com/question/25292087
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Answer:
r ≥ -1. it is A because r is greater than or equal to -1.
I am sorry <u>if</u> I got it wrong.
Step-by-step explanation:
3r+2(12r+7) ≤ 5r-8
27r+14 ≤ 5r-8
I subtract 27r and 5r.
22r+14 ≤ -8
I subtract 14 and -8.
22r ≤ -22
Divide 22 on both side.
r ≥ -1
<span>94.25 centimeters is your answer. Hope this helps!</span>
