The value of ∠ABC is 64 degree at x = 19 degree ,therefore Yin is not right about the value of x .
<h3>What is a Triangle ?</h3>
A triangle is a polygon with three sides , angles and vertices.
It is given that
m∠ABC = (4x – 12)°
m∠ACB = (2x + 26)°
Let m∠ACB = y degree
It is asked that if x =19 degree , is the triangle equilateral
m∠ABC = (4x – 12)° = 4 *19 -12 = 64 degree
As in an equilateral triangle , the angles are all equal and equal to 60 degree.
If the value of ∠ABC is 64 degree at x = 19 degree ,therefore Yin is not right about the value of x .
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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!!
You could replace x for 4
Answer:
The third one for the first picture and the second one for the second picture
Step-by-step explanation:
Answer:
he is will have to get 5
Step-by-step explanation:
53/10=5.3
you cant have ".3" box so you have to round it off
