Answer:
Measure of ∠P = 60°
Step-by-step explanation:
Consider triangle PMO.
Since PM is perpendicular to MO , hence m∠PMO = 90°
Also given that m∠MOP = m∠2 = 30°
And since sum of three angles of a triangle is 180°
⇒ m∠PMO + m∠MOP + m∠MPO = 180°
⇒m∠MPO = 180° - (m∠PMO + m∠MOP) = 180° - ( 90 + 30 ) = 60°
Hence m∠MPO that is m∠P is 60°
Answer:
A
Step-by-step explanation:
Answer: Yes
Step-by-step explanation: Let's first find the missing angle in the second triangle and to find this angle, remember that the sum of the measures of a triangle is 180 degrees so you should find that our missing angle is 67°.
Now, notice that we have two angles and the included side of one triangle
congruent to two angles and the included side of a second triangle.
Therefore, we can say the triangles are congruent by ASA.
Answer:
96 ft^2.
Step-by-step explanation:
Area of shaded region = area of the original rectangle - area of the one removed
= 8 * 16 - 8*4
= 128 - 32
= 96
Answer:
The answer to your question is c = 20
Step-by-step explanation:
Data
a = 15
j = 24
k = 32
c = ?
Process
Use proportions to solve this problem. Compare the small triangle and the large triangle.
1.- Proportion of the small triangle
c/15
2.- Proportion of the large triangle
k/j
3.- Equal but terms and solve for c
c/15 = k/j
-Substitution
c / 15 = 32/24
c = 32(15)/24
-Result
c = 20
