Answer:
<u>Properties of a rhombus used to solve the following </u>
- <em>Opposite angles are congruent</em>
- <em>Diagonals are angle bisectors</em>
- <em>Diagonals are perpendicular to each other</em>
- <em>Adjacent angles are supplementary</em>
(30)
- ∠2 = ∠3 = ∠5 = 27°
- ∠1 = ∠4 = 180° - (2*27°) = 126°
(31)
- ∠4 = 70°
- ∠1 = ∠2 = ∠3 = ∠5 = 1/2(180° - 70°) = 1/2(110°) = 55°
(32)
- ∠1 = ∠2 = ∠5 = 90° - 26° = 64°
- ∠3 = 26°
- ∠4 = 90°
Answer:
4.875
Step-by-step explanation:
The mean is the average of all the numbers or all the numbers added up divided by how many numbers so
3+5+2+10+6+3+7+3=39 and there are 8 numbers so
39/8 is 4.875 or 4 7/8
4.875
Answer:
Shifts it up c units.
Step-by-step explanation:
The '+ c' will move the whole graph upwards c units.
Answer:
y = 5x + 4
Step-by-step explanation:
y - 4 = 5(x - 0)
That is point-slope form. I'm not sure if you want it in slope intercept form, but slope intercept form of the equation is -
y = 5x + 4
9514 1404 393
Answer:
55,637.8 square inches
Step-by-step explanation:
We can find side n using the Law of Sines:
n/sin(N) = p/sin(P)
n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)
n ≈ 542.246913 . . . . inches
The angle O is ...
O = 180° -N -P = 180° -64° -96° = 20°
Then the area is ...
A = 1/2·np·sin(O)
A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²
The area of ∆NOP is about 55,637.8 in².