The answer to this is : 0.75 (.75)
Answer:
z=-8 and z=8
Step-by-step explanation:
A rational expression is undefined when its denominator is equal to zero, so our expression is undefined when
. Solving for z, we get
![z^2=64\\\sqrt{z^2}=\pm\sqrt{64}\\ z=\pm8](https://tex.z-dn.net/?f=z%5E2%3D64%5C%5C%5Csqrt%7Bz%5E2%7D%3D%5Cpm%5Csqrt%7B64%7D%5C%5C%20z%3D%5Cpm8)
Answer:
1) 14
2) m<1=47°
3) m<2=47°
Step-by-step explanation:
1) 75-2x=89-3x
-2x+3x=89-75
x=14
2) m<1=75-2x
75-2(14)
75-28
47
3) m<2=89-3x
89-3(14)
89-42
47
4/5*12/5
4*12=48, 5*5=25
so, 4/5*12/5=48/25
and 48/25=1 23/25
Answer: m∠ABF = 120°
Concept:
Here, we need to know the idea of the <u>corresponding angle theorem </u>and <u>linear pair postulate</u>.
The corresponding angle theorem states that if a transversal cuts two parallel lines, their corresponding angles are congruent.
The linear pair postulate states that two angles that form a linear pair are supplementary.
Solve:
<u>Given information</u>
m∠ABF = m∠ABF = 2x + 3x
- According to the corresponding angle theorem, ∠ABF is congruent to ∠BCI which is 2x + 4x.
m∠BCH = 3x
Total angle = 180°
- ∠ABF and ∠BCH are linear pairs which means they form a supplementary angle.
<u>Given equation</u>
m∠ABF + m∠BCH = Total Angle
<u>Substitute values into the equation</u>
2x + 4x + 3x = 180
<u />
<u>Combine like terms</u>
9x = 180
<u>Divide 9 on both sides</u>
9x / 9 = 180 / 9
x = 20
m∠ABF = 2x + 4x = 2 (20) + 4 (20) = 40 + 80 = <u>120°</u>
Hope this helps!! :)
Please let me know if you have any questions