Answer:
A piece of Jewelry costs $4.5 and a hair accessory costs $1.5.
Step-by-step explanation:
Let the price of a piece of jewelry is $x and that of a piece of hair accessories is $y.
So, from the given conditions we can write two different equations as
5x + 8y = 34.5 ............ (1) and
2x + 16y = 33 ............... (2)
Now, solving the equations (1) and (2) we get
2x + 2(34.5 - 5x) = 33
⇒ 8x = 36
⇒ x = $4.5
Again, from the equation (2) we can write
2(4.5) + 16y = 33
⇒ 16y = 24
⇒ y = $1.5
Therefore, a piece of Jewelry costs $4.5 and a hair accessory costs $1.5. (Answer)
Answer:
The approximate distance between the points is 38.2
Step-by-step explanation:
The distance between these two points is a diagonal line. In order to solve this problem, you need to plot your points and form a right triangle. The overall distance from one point to another on the x-axis is 26 (12-(-14)), and the overall distance from one point to another on the y-axis is 28 (20-(-8)). These two distances will form a right angle at (-14,-8). The distances on the x and y axis are the 'legs' of the triangle and the distance between the given points in the problem represents the hypotenuse. Using the pythagorean theorem (a^2 +b^2 = c^2), we can substitute in our values of 'a' and 'b' to get 28^2 + 26^2 = c^2, or 784 + 676= 1460, therefor the square root of 1460 is approximately 38.2.
Answer:
Option (3)
Step-by-step explanation:
To prove ΔULV ≅ ΔKLY,
Statements Reasons
1). VL ≅ LY 1). Radii of a circle are equal
2). UL ≅ KL 2). Radii of a circle are equal
3). ∠ULV ≅ ∠KLY 3). Vertical angles are equal
4). ΔULV ≅ ΔKLY 4). SAS property of congruence
Therefore, property (3) given in the options will be used to prove the triangles congruent.
Answer:
a . 9.66 cm
Step-by-step explanation:
a. rule MDAS
multiple first
4(1)=4
4(√2)=5.66
(4+5.66)=9.66cm
74 + 53 = 127 divided by 2 =63.5
