Answer:
55 degrees
Step-by-step explanation:
a line is 180 degrees. also, all angles in any triangle add up to 180 degrees. so, find the missing angle in the triangle by 180-30-25=125 degrees. Then to find angle 4, 180-125=55 degrees.
Answer is c the third one
Answer:
H.A.=4
Step-by-step explanation:
If the bottom equation is factored, you get (x+1)(x-4)
If the V.A. is -1 ( gotten by putting [x+1] equal to zero I'm guessing) then the H.A. can be gotten by putting (x-4) equal to zero.
Also, I graphed it.
Answer:
3 1/4 + 2 1/3 = 67 / 12 = 57 1/2
Step-by-step explanation:
Conversion a mixed number to a improper fraction: 3 1/4 = 3 · 4 + 1
4
= 13
4
Conversion a mixed number to a improper fraction: 2 1/3 = 2 · 3 + 1
3
= 7
3
Add: 13
4
+ 7
3
= 13 · 3
4 · 3
+ 7 · 4
3 · 4
= 39
12
+ 28
12
= 39 + 28
12
= 67
12
To find the value of x, you want to use the vertical angles theorem.
The vertical angles theorem says that all vertical angles (which is what TRY and QRW are) are congruent to each other. Knowing this you can make an equation where the angles are equal to each other to find the value of x.
TRY = QRW, so:
(x+16) = (4x-5)
1. Add 5 to both sides.
(x+21) = (4x)
2. You can get rid of the parentheses.
x+21 = 4x
3. Subtract x from both sides.
21 = 3x
4. Divide both sides by 3, isolating x.
7 = x
5. Flip this equation around, so:
x = 7
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To find the measure of TRY then plug x into the expression for TRY, which is (x+16).
TRY => ((7)+16) = 23
Since TRY is 23, the vertical angles theorem says that QRW is also 23. Add these measures up.
23+23 = 46
A line's measure is 180 degrees, so two lines would add up to 360 degrees. Subtract 46 from 360 to find the remaining degrees.
360-46 = 314
TRQ and YRW must be congruent to each other so that means you can divide 314 by 2.
314/2 = 157
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Answers are:
TRY = 23
TRQ = 157