Answer:
Step-by-step explanation:
<u>Coordinates of points</u>
i) lies on x- axis with abscissa - 3
- If it lies on x- axis, it has zero y-coordinate
- It is (-3, 0)
ii) lies on y-axis with ordinate 5
- It lies on y-axis, it has zero x-coordinate
- It is (0, 5)
<u>Finding x:</u>
We know that the diagonals of a rhombus bisect its angles
So, since US is a diagonal of the given rhombus:
∠RUS = ∠TUS
10x - 23 = 3x + 19 [replacing the given values of the angles]
7x - 23 = 19 [subtracting 3x from both sides]
7x = 42 [adding 23 on both sides]
x = 6 [dividing both sides by 7]
<u>Finding ∠RUT:</u>
We can see that:
∠RUT = ∠RUS + ∠TUS
<em>Since we are given the values of ∠RUS and ∠TUS:</em>
∠RUT = (10x - 23) + (3x + 19)
∠RUT = 13x - 4
<em>We know that x = 6:</em>
∠RUT = 13(6)- 4
∠RUT = 74°
The lateral area of the pyramid is 15!
Answer:
Divisible by 2, 5 AND 10.
Step-by-step explanation:
72590÷2=36295
72590÷5=14518
72590÷10=7259
