Answer:
15 yds
Step-by-step explanation:
12 in = 1ft
3 ft = 1yd
to convert
540 in * 1ft/12 in * 1yd /3 ft = (540 * 1 * 1)/ (12*3) = 540/36 =15 yds
all the units canceled except for yds
The area would be 112 feet
The circumference would be 46feet
ALL LINES CAN BE REPRESENTED IN THE FORM 
.
We know that:
and
Observe that:
So:
But we know that 
, so:
Since:
So the line is:
Answer: Alycia only established some of the necessary conditions for a congruence criterion.
Step-by-step explanation: Two triangles are <u>congruent</u> if their corresponding sides or/and corresponding angles are the same.
There are 5 ways to find out if the triangles are congruent.
The one Alycia used seems to be the one called <u>Side-Angle-Side</u>, which states that if two sides and its included angle is equal to the corresponding sides and angle of the other triangle, they are congruent.
For triangles ΔOPQ and ΔSTR to be congruent, using that theorem:
1) ∠O = ∠S
2) OP = TS
And
3) RS = OQ
So, Alycia's error is that she didn't prove RS = OQ, which would definitively conclude that both triangles are congruent.
Option D:
Right triangle
Solution:
Let us first define obtuse, acute right triangle and supplementary.
<u>Obtuse angled triangle:</u>
If any one of the angle in the triangle is more than 90°, then the triangle is an obtuse angled triangle.
<u>Acute angled triangle:</u>
If all the angles of the triangle are less than 90°, then the triangle is an acute angled triangle.
<u>Right angled triangle:</u>
If any one of the angle in the triangle is exactly 90°, then the triangle is a right angled triangle.
<u>Supplementary:</u>
If sum of the angles is 180°, then the angles are supplementary angles.
But this is not a kind of triangle.
In given triangle one of the angle is 90°.
Therefore, this is a kind of right triangle.
Option D is the correct answer.
