It is <em>A</em>. <em>A</em> most closely matches the graph!
<em>A</em> is red, <em>B</em> is blue, <em>C</em> is green, and <em>D</em> is purple!
Answer: Angle MRN equals 11 degrees (11°)
Step-by-step explanation: Please see the picture attached for details.
The triangle MRN has been drawn such that angle N as shown equals 98 degrees. Then line NM has been extended and the exterior formed there is 109 degrees. That means angle M can be calculated as follows
Angle M = 180 - 109 {Angles on a straight line equals 180}
Angle M = 71
Now we have two angles given as angle N which is 98 degrees and angle M which is 71 degrees.
Angle MRN can now be calculated as follows;
∠ MRN = 180 - (71 + 98) {Sum of angles in a triangle equals 180}
∠ MRN = 180 - 169
∠ MRN = 11
Therefore angle MRN measures 11 degrees.
Rotation will not map the preimage ABC onto the image A'B'C'
Answer:
7.1 miles
Step-by-step explanation:
Consider right triangle HospitalSchoolSupermarket. In this triangle:
- HospitalSchool = 14.7 mi;
- HospitalSupermaket = 11.76 mi;
- School Supermarket = 8.82 mi.
The shortest road from the main entrance of the supermarket to the highway that connects the school and hospital will be the height drawn from the point Supermarket to the hypotenuse HospitalSchool.
Let the length of this road be x mi and the distance from School to point A be y mi. Use twice the Pythagorean theorem for right triangles Supermarket SchoolA and SupermarketHospitalA:

Subtract from the second equation the first one:

Thus,
