Step-by-step explanation:
- Since m∠ACM = 90°, then by angle addition, m∠ACP + m∠PCM = 90°.
- Since CP⊥ AM, then by definition of perpendicular, m∠APC = 90°. Since angles of a triangle add up to 180°, that means m∠PAC + m∠ACP = 90°.
- By substitution, m∠PCM = m∠PAC.
- Since m∠PCM + m∠CMP = 90°, then by substitution, m∠CMP = m∠PAC.
- Therefore, by AAA, △ACP and △CMP are similar.
Having proven that the triangles are similar, we can write the proportion:
AP / CP = CP / MP
9 / CP = CP / 16
CP² = 144
CP = 12
Now, we can simply use Pythagorean theorem to find the other sides.
AC² = AP² + CP²
AC² = 9² + 12²
AC = 15
CM² = CP² + PM²
CM² = 12² + 16²
CM = 20
On a given line, (on one side) there are a total of 180°
if one line in Problem #3 is bisected by a line, with one half X and the other 120°,
do 180° (the total) minus 120° which=60°
now the hard part, that line that bisected the first line is bisecting a line that is parallel to your second line, the one with <5 and <6
this means that the big angle formed in the first one with 120° is the same angle as in the second line, leaving <5 as 120°
which means <6 is 60°, like in the top part of the problem. You're basically flipping the top line upside down, I hope it helps.
Answer:
0
Step-by-step explanation:
adding -7 to 7, since they are both constants (no variable) gives you 0. Adding -5x and 5x since they both have an x term gives you 0x also written as 0 (0*any number is 0). this gives you a final answer of 0
Answer:
Mixed fraction = whole × denominator + numerator.
this formula converts mixed to improper fraction.
So, 1 × 3 + 1 = 4 is numerator.
Denominator is 3 which is same.
So, answer is
A. 
<h3>
<em>Plz </em><em>mrk</em><em> me</em><em> brainliest</em><em>.</em></h3>
Answer:
the answer would be B the answer would be B
