9514 1404 393
Answer:
not similar
Step-by-step explanation:
Similar polygons have all corresponding angles congruent, and corresponding sides proportional.
The sides lengths guarantee the polygons are parallelograms, so one pair of angles being congruent is sufficient to ensure that all corresponding angles are congruent.
The ratio of side lengths in the left polygon is 13/8, and the ratio of side lengths in the right polygon is 5.2/2.4 = 13/6. These are different ratios, so the corresponding sides are NOT proportional.
The figures are NOT SIMILAR.
Answer:
$86.16
Step-by-step explanation:
82.09+4.07=86.16
Answer:
Step-by-step explanation:
PQ*PQ=PQ²=(5x+16)²=25x²+160x+256
<h3>
Answer: 45</h3>
The value is approximate.
==========================================================
Explanation:
Focus on the upper triangle.
Label the unknown horizontal side as y
Use the pythagorean theorem to solve for y
a^2+b^2 = c^2
10^2 + y^2 = 26^2
100+y^2 = 676
y^2 = 676-100
y^2 = 576
y = sqrt(576)
y = 24
-----------
Now move to the bottom triangle
With respect to the reference angle, the side y = 24 is opposite this. The hypotenuse is unknown.
Use the sine rule to connect the two and solve for x
sin(angle) = opposite/hypotenuse
sin(32) = y/x
sin(32) = 24/x
x*sin(32) = 24
x = 24/sin(32)
x = 45.2899179551967 which is approximate
x = 45 rounding to the nearest whole number
Side x is approximately 45 cm long.
Note: make sure your calculator is in degree mode.