Answer:
x = 170 deg
Step-by-step explanation:
A tangent to a circle is perpendicular to the radius of the circle at the point of tangency. That means that in quadrilateral AOBC, angles A and B are right angles and measure 90 deg.
The sum of the measures of the angles of an n-sided polygon is
(n - 2)180 deg
In this case, n = 4, so
(4 - 2)180 deg = 360 deg
m<A + m<O + m<B + m<C = 360
90 + x + 90 + 10 = 360
x + 190 = 360
x = 170
Answer: 170 deg
12.) m=26
19-(-7)/-1-(-2)=26
13.) 14
8-(-20)/5-3=14
14.) -4/5 is the slope
Count rise over run and always make sure whether to add a negative based on the direction of the line. In this situation, the line is negative so there is a negative sign present.
Answer:
$20.15
Step-by-step explanation:
Given data
Original cost = $9.57
Markup= 95%
Let us find the new cost of the basket
=95/100*9.57
=0.95*9.57
=$9.0915
Hence the cost of the basket is
= 9.57+9.0915
=18.66
Also, the sales tax is 8%
=8/100*18.66
=0.08*18.66
=1.4928
Therefore, the total amount to be paid is
=18.66+1.4928
=$20.15
Step-by-step explanation:
√a is defined only when a >= 0.
Therefore for √4x * √(x + 2) to be defined, both 4x and x + 2 must be non-negative.
When 4x >= 0, x >= 0.
When x + 2 >= 0, x >= -2.
x >= 0 and x >= -2, therefore we have x >= 0. (D)
Answer: 15 boys
Explanation: ratio 5:7
5 + 7 = 12
Number of boys = 5/12 × 36
