(1) The value of x is 25
(2) The measure of ∠CBD is 60°
Explanation:
(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.
Thus, we have,

Subtracting 5x from both sides, we have
Adding 10 to both sides , we have,

Thus, the value of x is 25.
(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°
Since, these two angles are supplementary angles and supplementary angles add upto 90°
Thus, we have,

Simplifying, we get,



Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.

Thus, the measure of ∠CBD is 60°
Answer:
1,2,4,5,8,10,20,25,40,50,10,125,200,250,500,1000
Step-by-step explanation:
prime factorization is
1000=2*2*2*5*5*5
Answer: 34
Step-by-step explanation:
Substitute n with 9
-14+3(9-1)(2)
-14+3(8)(2)
= 34
Answer:
x=-1 and x=1
Step-by-step explanation:
all you have to do is replace the letters with numbers and
Answer:
Step-by-step explanation:
11) Profit = Selling price - purchase price - other expenses

12) Profit = Selling price - purchase price - other expenses
(after rounding off)
13) Annual interest on bond
=INterest rate on face value of bond for 1 year

14)Cost of bond
= quoted value (rate)
=3500(80.5)
=2817.50
15) Cost of bond
= quoted value (rate)
=4250(83.5)
=3548.75