The measure of first angle is 34 degrees and measure of second angle is 56 degrees
<em><u>Solution:</u></em>
Given that, the exterior sides of two adjacent angles make a right angle
Therefore, these adjacent angles forms 90 degrees
Let the second angle be "x"
The first angle has a measure that is six more than half the second
Therefore,
first angle = 6 + half of "x"
Since these two angles forms 90 degrees,
first angle + second angle = 90
<em><u>Therefore, first angle is:</u></em>
Thus measure of first angle is 34 degrees and measure of second angle is 56 degrees
Answer:
Any equation with the slope -3 and a y intercept that does not equal 5
Step-by-step explanation:
a line is parallel if the line have the same slope, and different y intercepts
3x+y=5
in slope intercept form is
y=-3x+5
slope : -3
y intercept 5
Answer:
i) 24
ii) 4 girls, 3 boys
Step-by-step explanation:
The GCF is 24
96= 24*<u>4</u>
72= 24*<u>3</u>
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<u>I hope this helps!</u>
Answer:
The exponential function to model the duck population is:
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Step-by-step explanation:
In order to calculate the duck population you can use the formula to calculate future value:
FV=PV*(1+r)^n
FV=future value
PV=present value
r=rate
n=number of periods of time
In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:
f(n)=415*(1+0.32)^n
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
