Answer:
Step-by-step explanation:
ABCD is a parallelogram. AB is produced to P, such that AB = BP and PQ is drawn parallel to BC to meet AC produced at Q. Given AB = 8 cm, AD = 5 cm, AC = 10 cm.
→ BC ║ QP →→Given
In Δ ABC and ΔAPQ
∠ABC=∠APQ→→[BC ║ QP , BP is a transversal, so corresponding angles are equal]
∠BAC=∠PAQ→→Reflex angle
Δ ABC ~ ΔAPQ→→(AA similarity criterion]
When triangles are similar, their corresponding angles are equal.
AC=CQ=10 cm, shows that point C is mid point of AQ.
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Answer:
Reasoning, Decision making
Step-by-step explanation:
The reasoning is the process of mental. In the process, reasoning needs a reason for establishing the facts. This is a cognitive process. All people engage in reasoning due to their ability to introspection. The reasoning is different in every field in every aspect.
The cognitive process plays a role in both reasoning and decision making. These both are the sub-field creative thinking. Many factors create a barrier in decision making such as incomplete information, emotional and physical resources.
Thus when we may not know the consequences we used both reasoning and decision making.
The value of x of a circle with radius x + 1.5 and diameter of 9 2 / 5 cm is 7.9 cm
<h3>Radius of a circle</h3>
Radius of a circle is half of the diameter of a circle. The radius extend from the centre of the circle to the circumference.
Mathematically,
radius = 1 / 2 (diameter)
Therefore,
radius = (x + 1.5) cm
diameter = 9 2 / 5 cm = 47 / 5 cm
let's find x with the relationship above.
Therefore,
x + 1.5 = 47 / 5
subtract 1.5 from both sides
x + 1.5 - 1.5 = 9.4 - 1.5
x = 7.9 cm
learn more on radius here: brainly.com/question/12183018
Answer:
-45
Step-by-step explanation:
9*(-5)=-45
