<span>360 / 8 = 45° degrees.
Answer:
c. 45° </span>
Answer:
1st. Add 5 each time so 5 times 12 = 60 so
5
10
15
20
25
30
35
40
45
50
55
60
2: H = 5M
Step-by-step explanation:
Answer:
∠RST = 120°
Step-by-step explanation:
We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.
∠RSU +∠UST = ∠RST
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78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above
54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12
108 = 6x . . . . . . . . . . . multiply by 2
120° = (6x +12)° = ∠RST . . . . add 12, show units
The measure of angle RST is 120 degrees.
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<em>Additional comment</em>
Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.
Answer:
(i) In triangle RTO and QSR
Given,
⇒∠RTO=∠OSR=90
o
(QS⊥PR and RT⊥PQ)
⇒QS=RT
⇒QR=RO ....Hypotenuse
∴△RTQ≅△QSR ....RHS criterion
(ii) By using part(1) of a solution, we get
∠TQR=∠SRQ ....By C.P.C.T
⇒∠PQR=∠PRQ
Step-by-step explanation:
Answer:
The equation is at a rate of -23%.
Step-by-step explanation:
Decay can be represented by the equation . We can find the rate at which it decays by using t=3 hours and A=3000. This means in this context.
After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.
We know so we were able to cancel it out and divide both sides by 3.
We solve with a calculator
We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.
The equation is