<u>Answer:</u>
The correct answer option is 'not congruent'.
<u>Step-by-step explanation:</u>
We are given two right angled triangles and we to to determine if their congruence can be proved by any postulate.
Two right angled triangles are said to be congruent if the hypotenuse and one leg of a right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
While here, the hypotenuse of each of the triangles are not equal and neither their corresponding legs.
Therefore, these triangles are not congruent.
<h3>
Answer: 12 inches</h3>
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Explanation:
Notice the double tickmarks on segments WZ and ZY. This tells us the two segments are the same length. Let's say they are m units long, where m is a placeholder for a positive number.
That would mean m+m = 2m represents the length of segment WY, but that's equal to 10 as the diagram shows. We have 2m = 10 lead to m = 5 after dividing both sides by 2.
We've shown that WZ and ZY are 5 units long each. In short, we just cut that length of 10 in half.
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Let's focus on triangle XYZ. This is a right triangle with legs XZ = unknown and ZY = 5. The hypotenuse is XY = 13.
We'll use the pythagorean theorem to find XZ
a^2 + b^2 = c^2
(XZ)^2 + (ZY)^2 = (XY)^2
(XZ)^2 + (5)^2 = (13)^2
(XZ)^2 + 25 = 169
(XZ)^2 = 169-25
(XZ)^2 = 144
XZ = sqrt(144)
XZ = 12
Segment XZ is 12 inches long.
Step-by-step explanation:
The distance from the surfer to the shoreline will be found as follows:
tan θ= opposite/adjacent
θ=10°
opposite=7ft
adjacent= x ft
substituting the values in our formula and solving for x we get
tan 10=7/x
hence
x=7/tan10
x=39.69897~ 39.7 ft
The surfer is 39.7 ft from the shoreline.
Answer:
The percentage loss = 10.9375 %
Step-by-step explanation:
Let the cost price = x
Since the marked price is 18.75% above the cost price so the
Marked price = 1.1875 x
When a discount of 25% is allowed on the marked price , the selling price will be Rs. 1425
⇒ Marked price × 0.75 = 1425
⇒ Cost price × ( 1.1875 × 0.75 ) = 1425
⇒ Cost price × ( 0.890625 ) = 1425
⇒ Cost price = 1600
Selling price = 1425
So percentage loss = × 100
% Loss = × 100
% Loss = 10.9375 %
17m
Because horizontal distance is 8m, vertical distance is 15m
So distance between A and Enid square root of 8^2+15^2
