Answer:
$19.07
Step-by-step explanation:
Look at image above...
Let x be the <span>length of each of two congruent sides.
</span>The triangle will be аcute if:
x² + x² > 8²
2x² > 64
x² > 32
x > √32
x > 5.657
So, the smallest possible length of one of two congruent sides have to be 5.7 cm (<span>to the nearest tenth)</span>
Answer:
b||c; c||d; b||d
Step-by-step explanation:
Substituting 10 for x, in the angle beside b we have
7(10)-5 = 70-5 = 65
In the angle beside c we have
10(10)+15 = 100+15 = 115
In the angle beside d we have
12(10)-5 = 120-5 = 115
In the angle beside we have
8(10)-25 = 80-25 = 55
The angle beside c has a vertical angle on the other side of c. This angle would be same-side interior angles with the angle beside b; this is because they are inside the block of lines made by b and c and on the same side of a, the transversal. These two angles are supplementary; this is because 65+115 = 180. Since these angles are supplementary, this means that b||c.
The angle beside c and the angle beside d would be alternate interior angles; this is because they are inside the block of lines made by c and d and on opposite sides of the transversal. These two angles are congruent; this means that c||d.
Since b||c and c||d, by the transitive property, b||d.
Answer:
f(x)=8-4
Step-by-step explanation:
f(x) = 8 (x+1/4)^2-1/2
f(x) = 8 – (x+1/4)^2-1/16
f(x) = 8 – 2
f(x) = 8 – 4
Answer:
The coordinates of point S are (8,-2)
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to
Let
Point S(x2,y2)
substitute the given values
<em>Solve for x2</em>
<em>Solve for y2</em>
therefore
The coordinates of point S are (8,-2)
