Ok so we are using the Pythagorean theorem so were gonna do A^2 + B^2 = C^2
It don't say which leg we have so you can use either a or b.
Which would get us 14^2 + B^2 = 50^2
14*14 =196 , 50 *50 =2500
Then we have to subtract the two.
So 2500 - 196 = 2,304
Then you take the take the square root of that answer and you have your other leg.
The square root of 2,304 is 48
So the missing leg = 48
The x value will be 109°. The straight line formed a 180° angle. Solving the equation yields the angle.
<h3>What are supplementary angles?</h3>
Supplementary angles are two angels whose sum is 180°. When a straight line intersects a line, two angles form on each of the sides of the considered straight line.
Those two-two angles are supplementary angles in two pairs. That is, if two supplementary angles are adjacent to each other, their exterior sides form a straight line.
The straight line formed a 180° angle. The resulting equation is as follows:
⇒x+42°+29°=180°
⇒x=109°
Hence, the value of the x will be 109°
The complete question is:
AB is a straight line.
Work out the size of angle x.
Not drawn accurately
42°
Х
29°
А
B
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Answer:
Option D) 340
Step-by-step explanation:
We are given the following in the question:
Alpha, α = 0.05
Population standard deviation, σ = $47
Margin of error = 5
95% Confidence Interval:


Putting the values, we get,


Thus, the correct answer is
Option D) 340
Answer:
P = $7.00
Step-by-step explanation:
Movie tickets = $8.50
Drink = $4.75
Two friends also bought popcorn
Total spent by the group = $53.75
Given equation:
3(8.50 + 4.75) + 2p = 53.75
Where,
P = cost of one order of popcorn
3(8.50 + 4.75) + 2p = 53.75
25.50 + 14.25 + 2p = 53.75
39.75 + 2p = 53.75
2p = 53.75 - 39.75
2p = 14
p = 14 / 2
p = 7
p = $7.00
The remainder from the division of the algebraic equation is -53/8.
<h3>What is the remainder of the algebraic expression?</h3>
The remainder of the algebraic expression can be determined by using the long division method.
Given that:

where:
Using the long division method, we have:




Therefore, we can conclude that the remainder is -53/8.
Learn more about the division of algebraic equations here:
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