How to put 24.357 in expanded form?
1 answer:
You might be interested in
<h3>Answer: C) 12</h3>
========================================================
Explanation:
Refer to the diagram below. I'm using the points A,B,C,D,E to help label the triangles, and to label the angles as well.
For now, let's focus on triangle DEC.
The top most angle is given as D = 65. Note how the angles D and E are opposite the congruent lines (marked with the red single tickmarks). This means that angles D and E are congruent to one another. So E = 65 as well. This is shown in the diagram below.
For now we don't know what angle C is, so we'll call it y. More specifically, we'll make y the measure of angle DCE.
For any triangle, the three angles always add to 180
y+65+65 = 180
y+130 = 180
y = 180-130
y = 50
So angle DCE is 50 degrees.
-------------------------------
Now we move onto triangle ABC.
Because angles DCE and ACB are vertical angles, this makes angle ACB 50 degrees also. Effectively, anywhere you see a 'y' in the diagram below, replace it with 50.
So triangle ABC has the three angles y = 50, y = 50 and 7x-4
We can solve for x like so
y+y+(7x-4) = 180
50+50+(7x-4) = 180
7x+96 = 180
7x = 180-96
7x = 84
x = 84/7
x = 12
This points to choice C as the final answer.
Answer:
Step-by-step explanation:
Angle EFB = 180 - 147 = 33 (Angles on a straight line add up to 180 degrees)
Angle FEB = 180 - 4x (Angles on a straight line add up to 180 degrees)
Since the angles in a triangle add up to 180 degrees ,
Remove brackets:
Add/Subtract:
Subtract 213 from both sides:
Divide both sides by -3: