Answer:
I believe 21 cm
Step-by-step explanation:
You just need to use your test-taking skill to eliminate the wrong answers here.
There is no such thing as a "Congruent Angles Postulate," so the last two choices can be eliminated.
The AA Similarity Postulate refers to triangles, not angles, so the second choice can be eliminated.
That only leaves the (correct) first choice.
Answer:
x = 78º
y = 35º
Step-by-step explanation:
These are isosceles triangles
two angles are congruent
-----------------------------
x + 51 + 51 = 180
x = 180 - 102
x = 78º
y + y + 110 = 180
2y = 70
y = 35º
1. The values of p and q are: p=31 and q= 4
2. B(11, 29/5)
Further explanation:
<u>1. L(15. 1) is the midpoint of the straight line joining point (p. - 2) to point D(-1. q) find p and q.</u>
Given:
M = (15. 1)
(x1, y1) = (p, -2)
(x2, y2) = (-1, q)
The formula for mid-point is:

Hence,
p=31
q=4
<u>2. M is the midpoint of the straight line joining point A (3. 1/5) to point B.If m has coordinates (7. 3), find the coordinates of B.</u>
Here,
(x1,y1) = (3, 1/5)
(x2, y2) = ?
M(x,y) = (7,3)
Putting values in the formula of mid-point

So, the coordinates of point B are (11, 29/5) .
Keywords: Finding mid-point, Finding coordinates through mid-point
Learn more about coordinate geometry at:
#LearnwithBrainly
Answer:
p = -0.002n +145
Step-by-step explanation:
You are given two points: (n, p) = (46000, 53) and (50000, 45). The 2-point form of the equation of a line is useful for this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
p = (45 -53)/(50000 -46000)(n -46000) +53
p = -8/4000(n -46000) +53
p = -0.002n +145 . . . . . demand equation