Answer:
-14
Step-by-step explanation:
-19=6k-4k+9
-19=2k+9
subtract 9 from both sides
-28=2k
-14=k
To check your answer plug 14 in for k
Answer:
Step-by-step explanation:
1. Since, it is given that ABCD is a parallelogram, therefore opposite angles of parallelogram are equal, hence
∠B=∠D
⇒7x-31=5x+13
⇒2x=44
⇒x=22
Hence, option B is correct.
2. Since, we get x=22, therefore
∠B=7x-31=7(22)-31=154-31=123°
∠B=123°
and ∠D=5x+13=5(22)+13=123°
∠D=123°
Also, ∠A+∠D=180°(corresponding angles)
⇒∠A=180-123
⇒∠A=57°
Now, ∠A=∠C=57°(opposite angles of parallelogram)
thus, Two of the angles measure 57°, and the other two measure 123°.
Therefore, option A is correct.
Answer: 2.
Step-by-step explanation;
2.261 rounded to the nearest one is 2. Recall that the nearest ones whole number is the first digit before the decimal point of a number.
Given:
Principal value = $1200
Rate of interest = 3% per year
To find:
The interest earned by Jenny in one year.
Solution:
Formula of interest:
Where, P is principal, r is rate of interest and t is time.
We have, P = 1200, r = 3, t=1. Putting these values, we get
The interest earned by Jenny in one year is $36.
Therefore, the correct option is A.
