Answer:
Options A, B and C are CORRECT PROPORTIONS
Step-by-step explanation:
Option A
3:5 = 6:10
The LHS must equal the RHS
3:5 is in it's lowest term.
6/10 will be in it's lowest term by dividing the numerator and denominator by 2.
6/10 = 3/5
Option B
3/6 and 5/10.
Diving 3/6 fractions by 3
= 1/2
Dividing 5/10 fraction by 5
= 1/2
Option C
Dividing 6/3 by 3 = 2
Dividing 10/5 by 5 = 2
Thats how you work through equivalent proportional fractions
The best prediction for the number of regular spectators that the program will have in 6 years is obtained with the following formula:
Pf = Po×(1-b) ^ t
Where:
Pf = final population
Po = initial population
b = decrease rate
t = timpo in years
So:
Pf = 223.00×(1-0.047) ^ 6
Pf = 167,056
The answer is the last option.
Answer:
x = 70°
Step-by-step explanation:
Clockwise from top, call the three tangent points A, B, and C. Central angle AXC is the supplement of the marked external angle, so is 140°. Arc AB is bisected by the upper ray of angle x; and arc BC is bisected by the lower ray of angle x. That is to say x is half the measure of arc AC, so is 70°.
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Attached is the output of a geometry program. The angle at lower left is 40° as in the given figure. The central angle α (70°) remains the same as tangent point C is moved around, which is to say that the measure of the angle α does not depend on the dimensions of the triangle containing α. It just depends on the fact that the triangle is tangent to the circle.
A) Deposits: +34.98; +51.02; +51.22
Withdrawals: -5.23; -5.22; -7.89
B) -7.89, -5.23, -5.22, +34.98, +51.02, +51.22
The smallest amount will be the largest withdrawal, as it takes away from the account; the largest amount will be the largest deposit, as it adds to the account.
C) She would have $216.88.
98 + 34.98 = 132.98 + 51.02 = 184.00 + 51.22 = 235.22 - 7.89 = 227.33 - 5.23 = 222.10 - 5.22 = 216.88
The slope of line through given points is -12/29
Step-by-step explanation:
Given points are:
(-26, -37) and (32, -61)
Let
(x1,y1) =(-26, -37)
And
(x2,y2) = (32, -61)
Slope (steepness) of a line, denoted by m, is given by the formula

Putting the values

Hence,
The slope of line through given points is -12/29
Keywords: Slope, line segment
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