It is 75wpm because the slope is 3 up and 2 right which is 150/2
Answer:
60 & 55
Step-by-step explanation:
1. the sum of the angles 1; 2 and 3 is 180°, then
m∠1=m∠2=m∠3; ⇒m∠3=60°;
2. m∠3=m∠r; ⇒ m∠r=60°;
3. m∠α= 180-(m∠r+65°)°; ⇒ m∠α=55°
all the details are in the picture.
Answer:
See below.
Step-by-step explanation:
a)
105/3 = 35
35/5 = 7
7/7 = 1
429/3 = 143
143/11 = 13
13/13 = 1
105 = 3 * 5 * 7
429 = 3 * 11 * 13
Not co-prime
For the other parts of the problem, do the same I did above. Find the prime factorizations of both numbers, and see if they have any prime factors in common.
Answer:
30 with extra
Step-by-step explanation:
It would be 29 and a little more but she would need 30 and have leftovers.
Answer:
Step-by-step explanation:
|4x-3|=5√(x+4) ⇔ |4x-3|²=5²(√(x+4))² and x+4 ≥ 0
⇔ (4x-3)² = 25(x+4) and x+4 ≥ 0 ( because : /a/² = a²)
⇔16x²-24x+9 = 25x +100 and x+4 ≥ 0
⇔ 16x² -49x - 91 =0 and x+4 ≥ 0 quadratic equation
Δ = (-49)²-4(16)(-91) = 8225
two solution : X1 = (49-√8225)/32 ≅ - 1.3 accept (-1.3+4 ≥ 0)
X2 = (49+√8225)/32 ≅4.37 accept (4.37+4 ≥ 0)
