15)
20/8 = x / 6
x = 20 * 6 / 8
x = 15
16)
18/54 = (x+4)/75
1/3 = (x+4) / 75
3(x+4) = 75
3x + 12 = 75
3x = 63
x = 21
SF = 54/18
SF = 3
17)
complement angles sum = 90
90 /18 = 5
so
5 x 11 = 55
5 x 7 = 35
smaller angle = 35 degrees
18)
ratio 4:5:9
4+5+9 = 18
sum of interior angles of a triangle = 180
180 / 18 = 10
largest angle = 10 x 9 = 90
answer
largest angle = 90 degrees
Answer:
x = 2
Step-by-step explanation:
The triangle is reflected across the circle meaning it should be the same on both sides.
Answer:
49
Step-by-step explanation:
Given the monomial y²-14y, in order to make the binomial a perfect square, we need to add a constant to the function using completing the square method.
To get the constant, we will multiply the coefficient of y by 1/2 and then square the resulting value.
- The coefficient of y is -14.
multiplying the coefficient of y by 1/2 will give -14/2 = -7
- squaring -7 will result in (-7)²
= 49
The constant that will be added to the binomial to make it a perfect square trinomial is 49
<h3>
Question: </h3><h3>
In the diagram below of Δ ABC, side BC is extended to point D, m∠A = x , m∠B = 2x+15, and m∠ACD = 5x+5 , what is m∠B ?</h3>
Answer: 3) m∠B = 25º
Step-by-step explanation:
Since m∠C is supplementary to m∠ACD
m∠C = 180º - m∠ACD
m∠C = 180º -(5·x + 5)
m∠C = 180º -5 -5·x
m∠C = 175º - 5·x
The sum of the angles of a triangle = 180º
m∠A + m∠B + m∠C = 180º
x + 2·x + 15º + 175º - 5·x = 180º
3·x - 5·x +190º = 180º
-2·x = 180º - 190º
-2·x = -10º
x = -10º/-2 = 5º
Now we can substitute this value of x in m∠B
m∠B = 2x+15
m∠B = 2·x + 15º = 2·5º + 15º = 10º + 15º = 25º
Answer: 3) m∠B = 25º
<h2><em>Spymore</em></h2>
The value of a would have to be 2 in order for two sides to be equal with the coefficient of 14 and then distributing 2 would get you +6 which makes b = 6
