Answer:
The answer to your question is $21.0
Step-by-step explanation:
Data
Original price = $25
Discount = 20%
Taxes = 5%
Process
1.- Calculate the price with the discount
$25 ------------------- 100%
x ------------------- 20%
x = (20 x 25) / 100
x = 500 / 100
x = $5
Price after the discount = $25 - $5
= $20
2.- Calculate the price after taxes
$20 ---------------------- 100%
x ----------------------- 5%
x = (5 x 20) / 100
x = 100 / 100
x = $1
Final price = $20 + $1
= $21
The fact that this triangle is a right angle triangle makes you now have 2 angles and the 1 side given, so it should be solvable.
First, You know that A=46 and C=90 as it is the right angle, and you know that the sum of any triangle's angles is 180. so now B=180-(90-46)=44
Now to the sides,
sin(B)=opp./hyp.=b/c=8/c=sin(44)
so, c=8/sin(44) which is approximately 11.52 unit length
now, use Pythagoras to find a,
a=√c²-b² =√11.52²-8² which is approximately 8.3 unit length.
Hope this helps.
Answer:
A.
two rays that share a common endpoint called the vertex
Step-by-step explanation:
In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Answer:
35
Step-by-step explanation:
So the triangle who posses the angle with measurement k=35 is an isosceles. I know this because there are two congruent legs. Those 2 congruent legs tell us the angles opposite of them are all congruent.
So we know one equation to solve is:
x+x+35=180 where x is the base angle in the left triangle picture.
Combine like terms:
2x+35=180
Subtract 35 on both sides:
2x=180-35
Simplify:
2x=145
Divide both sides by 2:
x=72.5
So one of the base angles of the left isosceles triangle is vertical with with another angle in the right. This triangle on the right is also isosceles.
So we know that 72.5+72.5+h=180.
Combine like terms:
145+h=180
Subtract 145 on both sides:
h=180-145
Simplify:
h=35
The answer should be the last one D
