I’m thinking it is since they are inverse to each other, hope this helps
x° = 43°
Solution:
The lines AD, BE and CF are intersecting lines.
Given m∠AGF = 47°, m∠BGC = 90°, m∠DGE = x°.
To find the value of x°:
Line BE and line CF intersect at the vertex G.
∠BGC and ∠FGE are vertical angles.
<u>Vertical angle theorem:</u>
If two angles are vertically opposite then they are congruent.
By vertical angle theorem, ∠BGC ≅ ∠FGE
⇒ m∠FGE = 90°
Sum of the angles in a straight line = 180°
In line AD,
m∠AGF + m∠FGE + m∠DGE = 180°
⇒ 47° + 90° + m∠DGE = 180°
⇒ 137° + m∠DGE = 180°
⇒ m∠DGE = 180° – 137°
⇒ m∠DGE = 43°
⇒ x° = 43°
Hence the value of x° is 43°.
The line
<span>-x+3y=1 can be moved into slope intercept form to get slope.
slope is what matters for questions that asks about perpendicular/parallel...
isolate y to get slope intercept form
</span>
<span>-x+3y=1
add x to both sides
3y = x + 1
divide both sides by 3
y = (x+1)/3
y = x/3 + 1/3
the slope is 1/3 because x/3 is the same as 1/3 * x.
the line that is perpendicular to this line has a slope that is the negative recirpocal of the original slope like.
perpendicular line slope: -3. (reciprocal of 1/3 is 3; then make that negative).
Told that this perp line passes through (7,-5), using slope intercept form y = mx + b with unknown y-intercept b value:
y = -3x + b
since (7,-5) means at x = 7, y = -5, plug those numbers in to solve for b
-5 = -3(7) + b
-5 = -21 + b
b = -5 + 21
b = 16
perpendicular line:
y = -3x + 16
for the parallel line has the same slope as the original
slope of parallel line: 1/3
we are told that parpall line goes through (7,-5) so using the unfinished slope-intercept form y = mx + b with unfinishe dinfo: we have
y = 1/3 x + b
since at x = 7 we have y = -5, plug it in
-5 = (1/3)(7) + b
-5 = 7/3 + b
b = -5 - 7/3
b = -15/3 - 7/3 .... same denominator for fraction add/subtract
b = -22/3
parallel line equation:
y = 1/3x - 22/3
</span>
Answer: 1,825 days
Step-by-step explanation: To convert 5 years into days, we use the conversion factor for years a days.
Conversion factor ⇒ <em>365 days = 1 year</em>
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Next, notice that we are going from a larger unit "years" to a smaller unit "days" and when we go from a larger unit to a smaller unit we multiply.
We will multiply 5 by the conversion factor which is 365 to get 1,825 days.
Therefore, 5 years is equal to 1,825 days.
