Problem 24
<h3>Answer: w = 120</h3>
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Work Shown:
We have an isosceles triangle. The angles opposite the congruent sides are congruent. These are the base angles each 30 degrees. The missing angle is w. The three angles add to 180
(angle1)+(angle2)+(angle3) = 180
30+30+w = 180
60+w = 180
60+w-60 = 180-60 ... subtract 60 from both sides
w = 120
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Problem 25
<h3>Answers:</h3><h3>x = 6.5</h3><h3>y = 5</h3>
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Work Shown:
The angle marks are all the same, so the three angles are congruent to one another. We consider this an equiangular triangle. Any equiangular triangle is also equilateral, meaning all three sides are the same length.
So,
2x-5 = 8
2x-5+5 = 8+5 ... add 5 to both sides
2x = 13
2x/2 = 13/2 ... divide both sides by 2
x = 6.5
and also,
y+3 = 8
y+3-3 = 8-3 ... subtract 3 from both sides
y = 5
Answer: 149,150,151
Step-by-step explanation:
1.st solution
Let the smallest number is x.
So next consecutive number is x+1
So the third consecutive number is x+2
So the sum of these three numbers is:
x+x+1+x+2=450
3x+3=450
3x=447
x=149 - first number
Second number is 149+1=150
Third number is 150+1=151
2-nd solution
The sum of 3 numbers in row is 450. It means that average number is 450:3=150 - is the number which is in the middle
So the first one number is 150-1=149 and the third number is 150+1=151
Answer:
Step-by-step explanation:
The slope:
<span>The denominator can not be <span>zero!
Conclusion: The slope is undenfined.
</span></span>
Answer:
la respuesta es la tercera abajo
Step-by-step explanation:
