Answer:
Step-by-step explanation:
<u>Given parallelogram JKLM with:</u>
<u>Find:</u>
<u>We know opposite angles of parallelogram are congruent:</u>
<u>Use angle addition postulate:</u>
- m∠KLM = m∠KLO + m∠MLO
- m∠KLM = 53° + 59°
- m∠KLM = 112°
Answer:
10. x= 10 y=sqrt 200
11. x=y=450
12. x=19 y=sqrt 1083
13. x=sqrt 48 y=sqrt 12
Step-by-step explanation:
10.
x and 10 are the same
10^2+10^2=200
sqrt 200 is not a whole number so y is just sqrt 200
11.
30^2=2x^2 because x and y are the same
x^2=450
sqrt 450 is not a whole number so x and y are just sqrt 450
12.
x= 38 divided by 2=19
38^2=19^2+y^2
1444=361+y^2
y^2=1083
sqrt 1083 is not a whole number so y is just sqrt 1083
13.
x^2=(x/2)^2+36=x^2/4+36
x^2=48
sqrt 48 is not a whole number so x is just sqrt 48
y is half of x so it is sqrt 12
Answer:
-x-3 = y
Step-by-step explanation:
Answer:
<u> The distance between opposite corners of the windowpane is 8.5 inches (rounding to the nearest tenth).</u>
Step-by-step explanation:
1. Let's use the Pythagorean Theorem to find the distance between opposite corners of the windowpane:
With the information given, we have a right triangle with the distance between opposite corners of the windowpane as the hypotenuse and its sides of 6 inches as the width and length of the windowpane and as sides of the right triangle.
Distance between opposite corners of the windowpane ² = Width of the windowpane ² + Length of the windowpane ²
Replacing with the real values:
Distance between opposite corners of the windowpane ² = 6² + 6²
Distance between opposite corners of the windowpane ² = 36 + 36
Distance between opposite corners of the windowpane ² = 72
√ Distance between opposite corners of the windowpane² = √72
<u> Distance between opposite corners of the windowpane = 8.5 inches (rounding to the nearest tenth)</u>
