Those two added together are equal to
14 and
a) ∠PQR=65° (alternate interior angles theorem)
∠PRQ = 60° (linear pair)
x = 55° (angles in a triangle add to 180°)
b) ∠APQ and ∠PQR are congruent alternate interior angles.
You have: y=0.73x+1. Compare this to the equation of a straight line (in slope-intercept form). The slope, m, is 0.73. The y-intercept, b, is 1.
Answer:
multiply the first equation by 2
Step-by-step explanation:
24x + 36y = 72
-16x + 8y = 80
48x + 72y = 144
-48x + 24y = 240
96y = 384
y = 4
24x + 36(4) = 72
24x + 144 = 72
24x = -72
x = -3
(-3, 4)
Answer:
<em>P= 5.5 cm</em>
Step-by-step explanation:
<u>The Perimeter of Plane Shapes</u>
If we are given a plane shape, the perimeter is the measurement of the boundary of it. In case the shape is made of lines, the perimeter is the sum of the lengths of all of them.
We are given an irregular shape, we only need to add all the sides. But we don't have all the individual sides. Let's write the expression for the perimeter.
P=AE+ED+DC+CB+BA
We have: AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3/10 cm. Note we don't have AE or DC, but we have their sum, so
P=AE+DC+ED+CB+BA
Recall that AB=BA, the order of the letters is not important. The perimeter is

We add the integer parts separate from the fractions

Now we use the common denominator (Least Common Multiple or LCM ) which is 20:

Operating

Simplifying

