So this can be solve by establish two equation:
let x be age of montell
y be tha age of her mom
for the first equation (<span>Montell is 30 years)</span>:
x = y - 30
second equation ( in 5 years )
x + 5 = ( y + 5 ) ( 1/3)
solving the equation simultaneously
x = 10 years old
y = 40 years old
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
Julie travelled with 30.5 miler per gallon.
<u>SOLUTION:
</u>
Given, On Julie's trip to the mountains she traveled 192 miles using 6 gallons of gas.
On the return trip she traveled 235 miles on 8 gallons of gas.
We have to find how many miles per gallon did Julie get on the way there?
We know that,
Substituting the values we get,
Hence, Julie travelled with 30.5 miler per gallon on the way there on mountains.
Answer:
600
Step-by-step explanation:
Answer:
30 miles per gallon
Step-by-step explanation:
I jus Done this one
