1.C
2.C
3.C
4.Written
5.Depends on your way of learning what is "compatible"
6. Written
7.582
Answer:
45.9318
Step-by-step explanation:
Answer:
m∠1 is calculated as 49°.
Step-by-step explanation:
Consider the angles are the interior angles of a triangle.
m∠A =91°
m∠B = 40°
m∠1 = ?
We know that the sum of interior angles of a triangle is 180°. So,
m∠A + m∠B + m∠1 = 180°
or, m∠1 = 180°- m∠A - m∠B
or, m∠1 = 180°- 91° - 40°
or, m∠1 = 49°
Hence, m∠1 = 49°.
This is a polygon with vertices on the lattice. Let's use Pick's Theorem,
A = (1/2) B + I - 1
where A is the area, B is the number of lattice points on the boundary and I is the number of lattice points in the interior.
In addition to the 3 vertices there are 3 more boundary points on UV and 6 more on WV, none on UV, B=3+3+6=12. In the interior I count I=9 lattice points.
A = (1/2) 12 + 9 - 1 = 14
Answer: 14
Obviously they just want us to say this is a right triangle, so the legs are altitude and base,
A = (1/2) b h (1/2) |UW| |WV| = (1/2) (4) (7) = 14
That checks.
Answer:
3x=15 the x is 5
10+5=15
10 quarters
5 dimes
Step-by-step explanation:
