Let x be the number of nickels and y be the number of quarters.
Then, x + y = 42 --- (1)
It is given that total value = 4.90.
Therefore, 0.05x + 0.25y = 4.9 --- (2)
Multiply (1) by 0.25
0.25x + 0.25y = 10.5 --- (3)
Now, subtract (2) from (3), we get,
0.2x = 5.6
Divide both sides by 0.2.
x = 28
x + y = 42
y = 42 - x
= 42 - 28
= 14
Hence, Mary has 28 nickels and 14 quarters in total.
Answer:
They are SIMILAR triangles
Step-by-step explanation:
Given triangles MNL and FHG with two of their angles to be 51° and 36° respectively. Their third angle is expressed as:
180°-(51°+36°)
= 180°-87°
= 93°
Their third angle is 93°
Since both triangles have the same angles in them, both triangles are considered as similar triangle even though the value of their sides are different due to angle differences in both.
Note that individual triangles are scalene triangles since their angles are not the same but the both triangles are similar triangles based on their relationship.
Answer:
x = 10
Step-by-step explanation:
Perimeter of a triangle = the sum of the three sides.
In an isosceles the legs are equal (2x - 6) and the base is x
Perimeter = (x) + (2x - 6) + (2x - 6)
38 = 5x - 12
38 + 12 = 5x
50 = 5x
10 = x
Answer:
B. (1,5) and (5.25, 3.94)
Step-by-step explanation:
The answer is where the 2 equations intersect.
We need to solve the following system of equations:
y = -x^2 + 6x
4y = 21 - x
From the second equation:
x = 21 - 4y
Plug this into the first equation:
y = -(21 - 4y)^2 + 6(21 - 4y)
y = -(441 - 168y + 16y^2)+ 126 - 24y
y = -441 + 168y - 16y^2 + 126 - 24y
16y^2 + y - 168y + 24y + 441 - 126 = 0
16y^2 - 143y + 315 = 0
y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)
y = 5, 3.938
When y = 5:
x = 21 - 4(5) = 1
When y = 3.938
x = 21 - 4(3.938) = 5.25.
the area is 180 cm. to find the perimeter you would do 15+15+14+14 to get 54 cm. So for area you do (l×w) which is 15×14=180.
