<u>Answer:</u>
<h2>A = 15 u²</h2>
<u>Explanation:</u>
according to the coordinates the triangles is right at the pair (2, -3)
the area of the triangle = height × base × 1/2
the <u>height</u> is the line passing through the pairs (-1, 6) and (2, -3)
h² = (2-(-1))²+(-3-6)²
h² = 3² + (-9)²
h² = 9 + 81
h² = 90
h = √90
the <u>base</u> is the line passing through the pairs (5, -2) and (2, -3)
b² = (2-5)²+(-3-(-2))²
b² = 3² + (-3+2)²
b² = 9 + 1
b² = 10
b = √10
A = h×b×1/2
A = √90×√10×1/2
A = √900×1/2
A = 30×1/2
A = 15 u²
Each class receives the same amount of pizza because the unit rates are the same
Answer:
The measure of the angles are 137 and 43
Step-by-step explanation:
Firstly, we need to understand what is meant by saying two angles are supplementary.Two angles are termed supplementary if the addition of the value of both angles equal 180.
Now let the two angles we are seeking in this question be x and y respectively
We write our first equation using the supplementary information;
x + y = 180 •••••••••••(i)
Secondly we are made to know that the difference between these angles is 94
Mathematically;
x - y = 94
or simply x = 94 + y; insert this into equation 1 above
94 + y + y = 180
2y = 180 - 94
2y = 86
y = 86/2
y = 43
x = 94 + y = 94 + 43 = 137
Multiply 520 students by 20% (0.20).
520 * 0.20 = 104
Multiply 104 students by 12.5% (0.125).
104 * 0.125 = 13
13 students were on the wrestling team.
dimes (d) = n + .80, nickels (n) = n
Make the dimes and nickels add up to $1.40 in an equation.
(n + .80) + n = 1.40
Combine like terms.
2n + .80 = 1.40
Subtract .80 from both sides.
2n = 0.60
Divide both sides by 2.
n = 0.30
Divide this by 0.05 (how many nickels are in a dollar).
0.30/0.05 = 6
d = n + 0.80 ⇒ 0.30 + 0.80 = 1.10
Divide this by 0.10 (how many dimes are in a dollar).
1.10/0.10 = 11
There are 6 nickels and 11 dimes in the bank.
Where is the link to your question? I can't answer thing without a link my guy- :/
