Answer:
25 + 2x= 325 x=150
Step-by-step explanation:
-25 -25
2x 300
/2 /2
×= 150
The value of y is 36
The value of w is -13
<h3>Calculating the value of angles </h3>
From the given question, we are to determine the value of y
From the given information,
We have that line b is parallel to line c
Then,
74° + (2y + 34)° = 180°
Solve for y
(2y + 34)° = 180° - 74°
2y° + 34° = 106°
2y° = 106° - 34°
2y° = 72°
y° = 72°/2
y° = 36°
Hence, y = 36
In the second diagram,
72° + ∠ACB + ∠BCD = 180° (<em>Sum of angles on a straight line</em>)
From the given information,
BC bisects ∠ACD
Thus,
∠ACB = ∠BCD
Then, we can write that
72° + ∠BCD + ∠BCD = 180°
72° + 2 × ∠BCD = 180°
2 × ∠BCD = 180° - 72°
2 × ∠BCD = 108°
∠BCD = 108°/2
∠BCD = 54°
Since line j is parallel to line k
Then,
(2w + 80)° = ∠BCD (<em>Corresponding angles</em>)
(2w + 80)° = 54°
2w° + 80° = 54°
2w° = 54° - 80°
2w° = -26°
w° = -26°/2
w° = -13°'
Hence, w = -13
Learn more on Calculating the value of angles here: brainly.com/question/21369105
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Answer:
Step-by-step explanation:
(-2,6),(1,1)
slope = (1 - 6) / (1 - (-2) = -5/3
y - y1 = m(x - x1)
slope(m) = -5/3
(-2,6)....x1 = -2 and y1 = 6
and we get :
y - 6 = -5/3(x - (-2)...which can further be simplified to :
y - 6 = -5/3(x + 2) <=== ur answer
<h2>
A=0.45 ;Terminating</h2><h2>
B=0.26666.....;Non-Terminating</h2>
Step-by-step explanation:
In both the fractions the numerator is less than the denominator thereby indicating that the decimal equivalent is definitely less than one.
Now for A-
We are making the denominator to a multiple of 10.
Now for B-
Using normal long division, divide 4 by 15.
;reminder at each step;calculation of the decimal equivalent
15×2=30;10 ;0.2
15×6=90;10 ;0.26
15×6=90;10 ;0.266
15×6=90;10 ;0.2666
15×6=90;10 ;0.26666
and so on....
Therefore we can see that the reminder is remained constant throughout so there the decimal equivalent is non-terminating.
Answer:
5(2x+5) = 25
Step-by-step explanation:
