Answer:
x = 90 - 2α
Step-by-step explanation:
Solution:-
- Consider the right angled triangle " ABD ". The sum of angles of an triangle is always "180°".
< BAD > + < ADB > + < ABD > = 180°
< ABD > = 180 - 90° - α
< ABD > = 90° - α
- Then we look at the figure for the triangle "ABE". Where " E " is the midpoint and intersection point of two diagonals " AC and BD ".
- We name the foot of the perpendicular bisector as " F ": " BF " would be the perpendicular bisector. The angle < BAE > is equal to < ABD >.
< ABD > = < BAE > = 90° - α ... ( Isosceles triangle " BEA " )
Where, sides ( BE = AE ).
- Use the law of sum of angles in a triangle and consider the triangle " BFA " as follows:
< ABF> + < BFA > + < BAF > = 180°
< ABF > = 180 - (90° - α) - 90°
< ABF > = α
Where, < BAF > = < BAE >
- The angle < ABD > = < ABE > is comprised of two angles namely, < ABF > and < FBE > = x.
< ABD > = < ABE > = < ABF > + x
90° - α = α + x
x = 90 - 2α ... Answer
Answer:
Step-by-step explanation:
The length of this triangle is 10 squares
and the width is 4 squares
The diagonals divide the rectangle into four triangles
These traingles are isoceles
Each two triangles facing each others are identical
<B = 90 degree
B = alpha + Beta
Let Beta be the angle next alpha
The segment that is crossing Beta is its bisector since it perpendicular to the diagonals wich means that:
Beta = 2x
Then B = alpha + 2x
90 = alpha +2x
90-alpha = 2x
x = (90-alpha)/2
Answer:
33%
Step-by-step explanation:
Drag the tiles to identify the number of heart stickers and the number of star stickers in the package.
Numbers may be used once or not at all.
20
25
100
125
325
375
475
480
Number of Heart Stickers
Number of Star Stickers Pls tell me it really hard :(
Step-by-step explanation:
Total number of stickers is 500.
25% of the total number is hearts:
The rest of the stickers are stars:
Answer:
-54
Step-by-step explanation:
100 square rooted is 10. 10*-6 is -60.
36 square rooted is 6.
-60+6=-54
Answer:
Tax = $0.97175
Final Price = $15.92175
Step-by-step explanation:
To calculate the amount of tax of an amount you just must multiply this figure by the percentage of the tax expressed in decimal numbers.
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Data:
Price = $14.95
Tax rate = 6.5%
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Calculation of tax:
amount = total x percent = $14.95 x 6.5% = $14.95 x 0.065 = $0.97175
Calculation of the final price with tax:
Amount = book cost + tax = $14.95 + $0.97175 = $15.92175
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Tax = $0.97175
Final Price = $15.92175
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Hope this helps!