Answer:
a.
x + y = 60
x = y + 30
b.
substitution:
(y + 30) = y = 60
2y + 30 = 60
2y = 30
y = 15
15 minutes for freehand
c.
No, because if he spends 40 minutes on the treadmill, he would have spent 10 minutes for freehand exercises. His total time in the gym would be 50 minutes, not 60.
Answer:
x = 3
Step-by-step explanation:
Multiply both sides by the exponent 2/3.
Solve for the exponent.
Add 8 to both sides.
Divide 8 into both sides.
1. 100 * 20
2. 7 hours
3. 141 kilometers
4. 8.5 hours
5. 55.75 mi/h
Answer:
The correct answers are Blue: 
square units
; Green: 
square units; and Yes the sum converges.
Step-by-step explanation:
Area of the largest triangle is 1 square unit.
The area of the triangle which are colored and follow a geometric sequence with the common ratio being 
.
Area of the not shaded triangle is given by 1 square unit.
Area of the orange triangle is given by 1 × = square units.
Area of the blue triangle is given by × = square units.
Area of the green triangle is given by × = square units.
If the pattern continues definitely then it becomes an infinite geometric progression series with common ratio . And thus the sum of area coverges as the ratio lies between -1 and 1.
Answer:
35°
Step-by-step explanation:
We assume that points S, T, U, V all lie on the circle.
Inscribed angle TUV intercepts long arc VST and short arc VUT. The long arc has measure 220°, so the measure of the short arc is 360° -220° = 140°.
Since chords UV and UT are the same length, point U bisects arc VUT. That means the measure of arc VU is 140°/2 = 70°.
Inscribed angle VSU intercepts arc VU, so has half the measure of the arc:
∠VSU = 70°/2
∠VSU = 35°
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