Step-by-step explanation:
115 = 5x + 15
115 - 15 = 5x
100 = 5x
20 = x
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:
There are 25 chickens and 20 rabbits
Step-by-step explanation:
Let
x-----> the number of chickens
y ----> the number of rabbits
Remember that
1 chicken has two legs
1 rabbit has four legs
so
2x+4y=130 -------> equation A
x=y+5 -----> equation B
Substitute equation B in equation A and solve for y
2(y+5)+4y=130
2y+10+4y=130
6y=120
y=20 rabbits
Find the value of x
x=y+5
x=20+5=25 chickens
Answer:
B 14 is the correct answer