Since you know that PQ=RQ, you have an equilateral triangle. This makes things very simple.
Angle R should be the same as angle P.
A triangle is equal to 180 degrees.
Add angles P and R. Subtract 180 from the answer you got. That will give you 2a. a divided by 2 will give you a.
Or, since there are two right triangles, you can add 47 and 90. Subtract 180 from that and you will get a.
Answer:
x=-1
Step-by-step explanation:
0.5 ( 5 - 7x ) = 8 - ( 4x + 6 )
<u>- Distribute 0.5 by 5 and -7x</u>
2.5 - 3.5x = 8 - ( 4x + 6 )
Second- Distribute the invisible one into 4x and 6
2.5 - 3.5x = 8 - 4x - 6
- Combine like terms: Subtract 6 from 8
2.5-3.5x= - 4x + 2
-Add 4x from both sides of the equation
2.5 + 0.5x = 2
-Subtract 2.5 from both sides of the equation
0.5x = 2- 2.5
0.5x = -0.5
-Then divide each side by 0.5x
<u>0.5x</u> = <u>-0.5</u>
0.5 0.5
-Cancel the common factor of 0.5
x = <u>- 0.5</u>
0.5
-Divide -0.5 by 0.5
X = -1
Answer:
The answer is 1/30.
Step-by-step explanation:
6 colored playing pieces: red, yellow, green, blue, purple, and white.
When you pick, the probability of picking yellow = no. of yellow / total no.
= 1/6
When your friend pick, only 5 pieces are left and the probability of picking blue = no. of blue / total no.
= 1/5
The probability that your friend picks the blue piece and you pick the yellow piece
= Probability of your friend picks the blue piece x Probability of ou pick the yellow piece
= 1/5 x 1/6
= 1/30
Answer:
18.91 percent
Step-by-step explanation:
Percent error equation: <u>Difference</u> or Difference/Actual
Actual
The difference is the greater amount minus the smaller.
111 - 89 = 22
The actual is 111.
Now divide 22/111.
22/111 = 0.189 repeating
0.189 repeating = about 18.91 percent
Answer:
The statement is True
Step-by-step explanation:
Rhombus is a quadrilateral with the following characteristics;
- All sides are congruent by definition.
- The diagonals bisect the angles.
- The diagonals are perpendicular bisectors of each other.
- Adjacent angles are supplementary.
- All the four sides are equal.
