Answer:
Calculating the Actual Distance using the Scale
If the scale is 1 : x, then multiply the map distance by x to calculate the actual distance.
Step-by-step explanation:
<u>EXPLANATION</u><u>:</u>
In ∆ ABC , ∠ABC = 40°
∠ACD is an exterior angle formed by extending BC to D
We know that
The exterior angle of a triangle formed by extending one side is equal to the sum of the opposite interior angles.
∠ACD = ∠CAB + ∠ABC
⇛50° = x° + 40°
⇛x° = 50°-40°
<h3>⇛x° = 10°</h3>
and
In ∆ ACD , AC = CD
⇛ ∠CDA = ∠CAD
Since the angles opposite to equal sides are equal.
Let ∠CDA = ∠CAD = A°
We know that
The sum of all angles in a triangle is 180°
In ∆ ACD,
∠CDA +∠CAD + ∠ACD = 180°
A°+A°+50° = 180°
⇛2A°+50° = 180°
⇛2A° = 180°-50°
⇛2A° = 130°
⇛A° = 130°/2
⇛A° = 65°
now,
∠CDA = ∠CAD = 65°
∠BAC + ∠CAD+y = 180°
Since angles in the same line
10°+65°+y = 180°
⇛75°+y =180°
⇛y = 180°-75°
<h3>⇛y = 105°</h3>
<u>Answer</u><u>:</u> Hence, the value of “x” & “y” will be 10° and 105° respectively.
Answer:
w => -4
w =<9
Step-by-step explanation:
Yes it can. Because there are many ways you make a triangle.
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128
This question requires us to solve an infinite GP
As we can see the first unit is 16 wide, then 8, then 4 and so on; this can be written as

∞
(64 used as 16*4 = 64 is the area of the first rectangle)
We have
∞
where a is the first term and r is the common ratio of the GP for summing an infinite GP.
here we have

Therefore
∞
Learn more about GP here
brainly.com/question/16954106
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