Solution:
<u>It should be noted:</u>
- Opposite sides of a rhombus are always equal.
- Opposite angles of a rhombus are always equal.
<u>Thus:</u>
- (-y - 10) = 90°
- 3z - 3 = 90°
- 4x - 2 = 90°
<u>Finding x:</u>
- 4x - 2 = 90°
- => 4x = 90 + 2
- => 4x = 92
- => x = 23
<u>Finding y:</u>
- (-y - 10) = 90°
- => -y - 10 = 90°
- => -y = 100
- => y = -100
<u>Finding z:</u>
- 3z - 3 = 90°
- => 3z = 90 + 3
- => 3z = 93
- => z = 31
Area of equilateral triangle = a^2/4 * √3 so side of triangle = a
but if area of equilateral triangle = area of square multiplied by √3 then area of square = a^2 / 4 so side of square = a/2
the ratio length of side triangle to length side of square = a: a/2 that means the side of triangle is doubled the side of square
answer
a) 2:1
Answer:
BC = 30
Step-by-step explanation:
If the three points are collinear, it means they lie on the same straight line.
Now B lies between A and C
By mathematical convention;
AC = AB + BC
This means;
48 = 2x + 2 + 3x + 6
48 = 5x + 8
48-8 = 5x
5x = 40
x = 40/5
x = 8
From the question BC = 3x + 6
Substitute the value of x; 3(8) + 6 = 24 + 6 = 30
Answer:
Biography= 8/24= 1/3
Science Fiction= 6/24= 1/4
Step-by-step explanation:
The probability for biography is (biography/total amount of books.)
8/24= 1/3
The probability for science fiction is (science fiction/ total amount of books.)
6/24= 1/4
Answer:
cost of large delivery truck = $60,000
cost of small delivery truck = $45,000
Step-by-step explanation:
let,
the cost of large delivery truck = 'x'
the cost of small delivery truck = 'y'
Now, according to the question,
3x + 2y = 270000
4x + 3y = 375000
By solving the above 2 equation , we get;
x = 60000
y = 45000
