The complete question in the attached figure
we know
In a rhombus ABCD<span> , </span>AC <span> = 26 , </span>AB<span> = 14
</span><span>the diagonals of a rhombus are perpendicular bisectors of each other
</span>AX<span> = </span>XC<span> = 13. triangle </span>ABX<span> is a right triangle with hypotenuse 14.
</span>
From the pythagoras theorem AB² =<span> AX</span>² + BX²
14² = 13² + BX²
196 = 169 + BX²
27 = BX²----- > BX=√27
BX = 5.20
Area of ABX<span> triangle=(1/2)*5.2*13=33.77
</span>
The four triangles formed by construction of the diagonals are all congruent since the diagonals are perpendicular bisectors.
Total area of the rhombus is 4 times of ABX triangle
<span>Area = 4* 33.77=135.10 units</span>²
the answer is the option D) 135.1 units ²
Ax + bx = 21
factor out x
x(a + b) = 21
x = 21/(a+b)
Answer:
m∠1 = 107 degrees
m∠2 = 73 degrees
Step-by-step explanation:
1. ∠1 and the angle with 107 degrees are corresponding angles, which are located in the same relative position. They're congruent in measures, so m∠1 = 107 degrees.
2. ∠1 and ∠2 are a linear pair, meaning their angle measures add up to 180 degrees. Given m∠1 = 107 degrees, we just have to subtract 107 from 180 to get m∠2.
Therefore, m∠2 = 73 degrees.
Complete Question
Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and five 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink
Answer:
The cost of
1 donut = x = $0.50
300ml carton of juice = y = $0.50
Step-by-step explanation:
Let the cost of
1 donut = x
300ml carton of juice = y
Max buys six donuts and a 300ml carton of juice for $3.50
6x + y = 3.50.....Equation 1
y = 3.50 - 6x
Susie buys four donuts and two 300ml carton of juice for $3.00
4x + 2y = 3...... Equation 2
Ben buys eight donuts and one 300ml carton of juice for $6.50
8x + 5y = 6.50......Equation 3
We substitute 3.50 - 6x for y in Equation 2
4x + 2y = 3...... Equation 2
4x + 2(3.50 - 6x) = 3
4x + 7 - 12x = 3
Collect like terms
4x - 12x = 3 - 7
-8x = -4
x = -4/-8
x = $0.50
Solving for y
y = 3.50 - 6x
y = 3.50 - 6(0.50)
y = 3.50 - 3.00
y = $0.50
Therefore:
The cost of
1 donut = x = $0.50
300ml carton of juice = y = $0.50
