Answer:
Measure of each angle is 90 degree.
Step-by-step explanation:
Given : If two consecutive angles of a parallelogram are congruent.
To find the measure of each angle:
There are 6 important properties of parallelograms:
- Opposite sides are congruent.
- Opposite angles are congruent
- Consecutive angles are supplementary.
- If one of the angle is right angle, then all angles are right.
- Diagonals of a parallelogram bisect each other
- Also, each diagonal of a parallelogram separates it into two congruent.
let A and D be two consecutive angle.
then, by the given condition
......[1]
From the property of parallelogram:
Consecutive angles are supplementary
Then;
From equation [1];
Combine like terms :
Divide both sides by 2 we get;
Simplify:
From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.
∴
Therefore, the measure of each angle is
Answer:
7+√5/4
Step-by-step explanation:
if that is = a, find the value of a + 1 over a
Given that a = 3 - √5
a+1/1 = (3-√5)+1/3 - √5
4-√5/3 - √5
Rationalize
4-√5/3 - √5 * 3+√5/3 + √5
= 12 +4√5-3√5-√25/9-5
= 12+√5-5/4
= 7+√5/4
Hence the requred answer is 7+√5/4
Let y=total cost
We have 4 friends that paid an extra $6 each and 4 friends that paid regular admission.
Friends that paid extra= 4(x+6)
Friends that paid regular= 4x
Now we need to add those together.
y= 4(x+6) + 4x
Distribute the 4
y= (4*x) + (4*6) +4x
y=4x + 24 +4x
y=8x + 24
Hope this helps!! :)
Step-by-step explanation:
The equation of this circle is:
(x-3)^2 +(y+5)^2 = 16
The equatiin of a circle in general is:
(x-a)^2 +(y-b)^2 = r^2
a and b are the coordinates of the center and r is the radius
● in the given equation: (x-3)^2 + (y+5)^2 = 16
-3 and 5 are the coordinates if the center so start by ploting the center in the point (-3,5)
16 is the radius multiplied by itself
16 is 4×4 so the radius is 4
Take a four unit radius from the center and strat drawing your circle using a compass