Answer:
Step-by-step explanation:
∠ M + ∠N = 180 {supplementary}
5x+18 + 3x + 2 = 180 {Now add the like terms}
8x + 20 = 180
8x = 180 - 20
8x = 160
x = 160/8
x = 20
∠M = 5x + 18 = 5*20 + 18 = 100 + 18 = 118
∠N = 3x + 2 = 3*20 + 2 = 60 + 2 = 62
Answer:
As per the statement: Hannah already had 44 photos on her camera when she arrived in Rome.Then she took 24 photos each day for 6 days.
Let x represented day and y represents the number of photo
Total number of 24 photo in x days is, 24x
then; as per the given statement our equation becomes;
y = 24x+44 .....[1]
now, to find the total number of photos took by Hannah for 6 days in Rome;
put x = 6 in [1] we get;
y = 24(6) + 44 = 188
Therefore, the total number of photos on Hannah's Camera is, 188 photos.
To, find the initial value for the linear function y =24x +44.
Initial value or y-intercept, is the output value when the input of a linear function is zero i.e, x = 0.
Substitute x =0 in y =24x +44
y= 24(0) + 44
y = 0 + 44
y = 44
Therefore, the initial value for the equation y =24x+44 is 44 photos.
It would be 190.8 square units.
Answer:
The sale amount of the pair of shoes will be: $27
Step-by-step explanation:
The original price = $29.99
Mark down = 10%
Mark down amount = 10% × 29.99
= 0.1 × 29.99
= $2.99
Thus, the sale price = Original price - Mark down amount
= $29.99 - $2.99
= $27
Therefore, the sale amount of the pair of shoes will be: $27
Step-by-step explanation:
the total surface area is the sum of the individual areas on the surface.
we have
2 triangles (top and bottom)
1 front rectangle
2 rectangles in the back
the area of a triangle is
baseline × height / 2
1.7 × 0.5 / 2 = 0.425 in²
both triangles together : 2×0.425 = 0.85 in²
the area of a rectangle is
length × width
so, the front is
1.7 × 1.5 = 2.55 in²
one back rectangle is
1 × 1.5 = 1.5 in²
both back areas are 2×1.5 = 3 in²
so, the total surface area is
0.85 + 2.55 + 3 = 6.4 in²