Answer: -2
Step-by-step explanation:
<h3>Answer:
122 degrees</h3>
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Explanation:
Angle BAC can be shortened to "angle A" since the letter A is in the middle.
Angle BCA can be shortened to "angle C" for similar reasoning.
We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent
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Let's use this fact to solve for x.
angle A = angle C
7x+1 = 5x+9
7x-5x = 9-1
2x = 8
x = 8/2
x = 4
Once we know what x is, we can find each base angle
- angle A = 7x+1 = 7*4+1 = 28+1 = 29
- angle C = 5x+9 = 5*4+9 = 20+9 = 29
Both angles A and C are 29 degrees each, so this confirms we have the correct x value.
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The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.
A+B+C = 180
29+B+29 = 180
B+58 = 180
B = 180-58
B = 122
The vertex angle is 122 degrees.
So we can say either angle B = 122, or we could say angle ABC = 122
"angle ABC" is the same as "angle CBA".
The units of the initial and final rates of speed are;
<u><em>Initial rate of Speed = ft/hr</em></u>
<u><em>Final rate of speed = mi/min</em></u>
- We are told that the conversion factors he used are;
5280 ft/1 mi and 1 hr/60 min
- Now, the meaning of 5280 ft/1 mi denotes that;
5280 ft mile is equivalent to 1 mile
This means that the initial distance <em>unit </em>used was ft while the final one was mile
Also, 1 hr/60 min denotes that;
1 hour is equivalent to 60 minutes.
This means that the initial time units used was hour while the final one was minute.
- In conclusion, since we know the initial time and distance units used, we can say that the initial rate of speed ft/hr while final speed rate was miles/minutes.
Read more at; brainly.com/question/17734333
It is 4170 I believe if my calculations are correct
Answer:
is the equation of line in slope intercept form.
Step-by-step explanation:
Line runs through points begin ordered pair negative 3 comma 0 end ordered pair and begin ordered pair 0 comma 4.
First ordered pair: (-3,0)
Second ordered pair: (0,4)
We have two points and need to find equation of line in slope intercept form
y-intercept, when x=0 , (0,4)
Equation of line in slope intercept form:
y=mx+b
where, 
and b=4
Required equation:
Thus, is the equation of line in slope intercept form.
