Answer:
Daniel must tutor 160 hours
Explanation:
310+275+70= 655
655×6= 3930 (he needs this amount of $)
(Daniel gains $20 per hour)
20×160= 3200
3200+745= 3945
3945 > 3930
Daniel has enough for the trip.
Where did I get 160?
Well, I was just trying out numbers and multiplying it by 20
The numbers I tried: 100, 150, 156, 159 & 160 but only 160 fit with the answer.
If it was just one night road trip he would've just needed $655, but since it's a 6-night road trip I multiplied it by 6.
Hope this helped!
Answer:
konrad= 1 shorts, 1 shoes, and 1 shirt
mareek= 1 shirts, 1 pair of shoes, and 3 hats
ming= 1 shorts, 2 shirts, and 2 hats
Step-by-step explanation:
Given:
A figure of a circle and two secants on the circle from the outside of the circle.
To find:
The measure of angle KLM.
Solution:
According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.
Using intersecting secant theorem, we get
Multiply both sides by 2.
Isolate the variable x.
Divide both sides by 7.
Now,
Therefore, the measure of angle KLM is 113 degrees.
Answer:
<h2>
2x + 3y = 33 </h2>
Step-by-step explanation:
As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.
Hence, the slope of this line is m = rise / run = -2/3.
Start with the slope-intercept form y = mx + b.
Substitute 3 for y and 1 for x and -2/3 for m:
3 = (-2/3)(1) + b.
Remove fractions by mult. all three terms by 3:
9 = -2 + b, so b = 11, and y = (-2/3)x + 11
Again, mult. all three terms by 3:
3y = -2x + 33, or, in standard form,
<h2>
2x + 3y = 33 </h2>
B. Angle 2 and angle seven are actually alternate exterior angles.
