Answer:
x = 14
Step-by-step explanation:
Since they are similar triangles, their sides are proportional
12 : 15 :: 8 : x - 4
Product of extremes = Product of means
12 × ( x- 4 ) = 15 × 8
12x -48 = 120
12x = 120 + 48
12x = 168
x = 168/12
x = 14
Answer:
9.42
Step-by-step explanation:
Answer:
case a)
----> open up
case b)
----> open down
case c)
----> open left
case d)
----> open right
Step-by-step explanation:
we know that
1) The general equation of a vertical parabola is equal to

where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open upward and the vertex is a minimum
If a<0 ----> the parabola open downward and the vertex is a maximum
2) The general equation of a horizontal parabola is equal to

where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open to the right
If a<0 ----> the parabola open to the left
Verify each case
case a) we have

so


so

therefore
The parabola open up
case b) we have

so



therefore
The parabola open down
case c) we have

so



therefore
The parabola open to the left
case d) we have

so



therefore
The parabola open to the right
73℅ of 58
= (73/100) × 58
= (73×58)/100
= 4234/100
= 42.34
Answer:
<em>The measure of a single interior angle is 169.4°</em>
Step-by-step explanation:
<u>Angles in Regular Polygons</u>
The sum of the interior angles, in degrees, of a regular polygon, is given by the formula 180(n – 2), where n is the number of sides.
For a regular 34-gon, n=34, and the sum of the interior angles is:
180(34 – 2)=5,760°
The measure of any of the interior angles is

The measure of a single interior angle is 169.4°