Answer:
![AB= \frac{97}{3}](https://tex.z-dn.net/?f=AB%3D%20%5Cfrac%7B97%7D%7B3%7D)
Step-by-step explanation:
Properties of Rhombus
- All sides of the rhombus are equal.
- The opposite sides of a rhombus are parallel.
- Opposite angles of a rhombus are equal.
- In a rhombus, diagonals bisect each other at right angles.
- Diagonals bisect the angles of a rhombus.
We are given two sides of the rhombus BC and CD. According to the first property:
4x + 15 = 7x + 2
Subtracting 4x:
15 = 3x + 2
Subtracting 2:
13 = 3x
Dividing by 3:
![x=\frac{13}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B13%7D%7B3%7D)
It's required to find the side AB. Applying the first property again:
AB= BC = CD = 4x + 15
![AB =4*\frac{13}{3}+15](https://tex.z-dn.net/?f=AB%20%3D4%2A%5Cfrac%7B13%7D%7B3%7D%2B15)
![AB= \frac{52}{3}+15](https://tex.z-dn.net/?f=AB%3D%20%5Cfrac%7B52%7D%7B3%7D%2B15)
![AB= \frac{97}{3}](https://tex.z-dn.net/?f=AB%3D%20%5Cfrac%7B97%7D%7B3%7D)
Answer:
75.23 is the answer for 77.5-2.27
Answer:
8- complementary angles
9- supplementary angles
10- supplementary angles
Step-by-step explanation:
Answer:
p=7
∠BRG=49
Step-by-step explanation:
∠BRG and ∠YRG are on a straight line together. Therefore, they are supplementary and add to 180 degrees.
∠BRG+∠YRG=180
We know that ∠BRG is 7p and ∠YRG is 131 degrees. Substitute 7p in for ∠BRG and 131 for ∠YRG.
7p+131=180
We want to find out what p is. In order to do that, we have to get p by itself. First, subtract 131 from both sides.
7p+131-131=180-131
7p=49
Next, divide both sides by 7.
7p/7=49/7
p=49/7
p=7
Now, we have to find what ∠BRG is.
∠BRG=7p
We know that p=7, so substitute p in for 7
∠BRG=7*7
∠BRG=49
So, p=7 and ∠BRG=49
Step-by-step explanation:
3^2 + 3^2 =5^2
9 +9 =25
18 =25
False 18 is not equal to 25.