Given:
The figure of a rhombus QRST.
To find:
A. The value of x.
B. The measure of angle RQP.
Solution:
A. We need to find the value of x.
We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.
[Right angle]
Divide both sides by 5.
Therefore, the value of x is 15.
B. We need to find the measure of angle RQP.
From the given figure, it is clear that
Putting , we get
Therefore, the measure of angle RQP is 33 degrees.
Answer:
<u><em>4 boxes of tiles.</em></u>
Step-by-step explanation:
Both rooms are square, so each has equal sides. Let's set a side to room A as x. It's area would be x^2. Room B has sides = 2x, so it's area would be (2x)^2 or 4x^2. The ratio of the areas B/A = 4x^2/x^2. B/A = 4.
Room B has 4 times the area of A. If one box of tile completes Room A, Room B would need four times that amount, or 4 boxes.
A=p(1+i/m)^mn
A=980×(1+0.08÷4)^(4×5)
A=1,456.23
Answer:
perimeter is length plus length width plus width
area is length times width
Step-by-step explanation:
(x+4)+(2x-23)=perimeter
(x+4)(2x-23)
hope this helps
Answer:
The prism is 3 by 3 by 1.5.
Step-by-step explanation:
The prism has a length x and a width x. Since it is a square at the base both length and width are the same amount x. The height is "half the length of one edge of the base". Since the base is x, this makes it 1/2x.
The volume's prism is found using V = l*w*h. Substitute and simplify.
13.5 = x*x*1/2x
13.5 = 1/2 x^3
27 = x^3
3 = x
The prism is 3 by 3 by 1.5.
