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:
(5,4) & (8,-10)
Step-by-step explanation:
First step:

You can use any number you want for b (I used 4)

Make x=0


Make y=0

Subtract 4 from both sides

Divide both sides by 

Second step:
In order to make a line perpendicular to another the slope of the second line will be the negative inverse of the first line. So
will be
for the second line.
Then you just need to repeat the process in first step to get the intercepts. (Again I used a random number like -10 for b)
Answer:

When
, the value of the expression is 
Step-by-step explanation:
By definition, when you divide two numbers, the result is known as the "Quotient":
Notice that "c" is the quotient of "a" and "b".
Therefore, the expression for "the quotient of a number
and 4" is:

Now, "3 less than the quotient of a number
and 4" indicates that you must subtract 3 from
; so you can conclude that the expression is:

Substitute
into the expresion:

Evaluating, you get that the value of the expression when
is: 
Answer:
Square root of 100.
Step-by-step explanation:
Step-by-step explanation:
We can write 10 as a fraction 10/1, therefore,
100 is a rational number.
Part A : A rational no. between 5.2 and 5.5 is 5.3.
It is rational because it can be expressed in the form
p/q where p and q are integers and q is not equal to 0, which is 53/10
Part B: A rational no. between 5.2 and 5.5 is 5.29150262213
An irrational number between 5.2 and 5.5 is 5.29150262213. It is irrational because there is no pattern that repeats and it cant be written as a fraction of two whole numbers.
-2, 34, 34, -4 and -2, -4
Answer:
the other one is (34, 34)