Answer:
Step-by-step explanation:
The tangent equation = side opposite angle / side beside angle
which in this case is 
which is the third choice
Hope that helps!
Answer <u>(assuming it is allowed to be in point-slope format)</u>:
Step-by-step explanation:
1) First, determine the slope. We know it has to be perpendicular to the given equation, 
. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since 
is in place of the m in the equation, that must be the slope of the given line.
Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be 
.
2) Now, use the point-slope formula, 
to write the new equation with the given information. Substitute 
, 
, and 
for real values.
The represents the slope, so substitute in its place. The and represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for and 4 for . This gives the following equation and answer:
Answer:
1
Step-by-step explanation:
As per circle theorem rule, ∠GDE is twice than ∠GFE
10x +94 = 2 × (x+51)
10x + 94 = 2x + 102
8x = 8
x = 1
∠GDE= 10x+94° = 104°
∠GFE= x + 51° = 52°
<h3>
Answer: 0.34</h3>
============================================================
Explanation:
A = 0.61 is given to us
Pumpkin B travels 0.28 of a mile further than A does, so,
B = A+0.28 = 0.61+0.28 = 0.89
Pumpkin B travels 0.89 of a mile.
---------------------
Pumpkin C travels 0.06 of a mile more than B does, which means,
C = B + 0.06
C = 0.89 + 0.06
C = 0.95
Pumpkin C travels 0.95 of a mile.
---------------------
The last thing to do is to subtract the values of C and A
C - A = 0.95 - 0.61 = 0.34
Pumpkin C travels 0.34 of a mile further compared to pumpkin A.
---------------------
Side note: if you want to convert from miles to feet, then multiply by 5280.
For instance, 0.61 miles = 0.61*5280 = 3,220.8 feet.
