The measure of the exterior angle at vertex D is: D. 54°
<em><u>Recall:</u></em>
- The exterior angle theorem of a triangle states that the measure of an exterior angle equals the sum of the measures of two opposite interior angles of the triangle.
<em><u>Thus:</u></em>
In ΔDEF, (8x−2)º is an exterior angle at vertex D.
m∠E = (3x−8)° (interior angle)
m∠F = (4x+13)° (interior angle)
<em>Therefore:</em>
(8x−2)º = (3x−8)° + (4x+13)°
8x - 2 = 3x - 8 + 4x + 13
8x - 2 = 7x + 5
8x - 7x = 2 + 5
x = 7
Exterior angle at vertex D = (8x−2)º
= 8(7) - 2
= 54º (option D)
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Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding decrease in the other variable. Also, a decrease in the value of one variable would cause a corresponding increase in the other variable.
The time, t, required to drive a fixed distance varies inversely as the speed, r. By introducing a constant of variation, k(the fixed distance), the expression becomes
t = k/r
It takes 8 hr at a speed of 15 km/h to drive a fixed distance. It means that
8 = k/15
k = 8 × 15 = 120
The equation becomes
t = 120/r
Therefore, the time it will take to drive the same distance at a speed of 29 km/h is
t = 120/29 hours
Converting to minutes, it becomes
120/29 × 60
= 248. 28 minutes
248 minutes, 28 seconds
A
The answer is a trust me
The answer is 8 days because 32 divided by 4 is 8
