Answer:
x = 2 and y = 1.
Step-by-step explanation:
If in the given quadrilateral all angles ∠A, ∠B, ∠C, ∠D are 90°and opposite sides are equal, then this property of a quadrilateral concludes that the given quadrilateral is a rectangle.
5x - 4 = 2y + 4
5x - 2y = 4+4 =8--------(1)
and 5y + 1 = 3x
3x - 5y = 1--------(2)
We multiply equation 1 by 3 and equation 2 by 5
15x - 6y = 24------(3)
15x - 25y = 5------(4)
Now we subtract equation 4 from 3
15x - 6y - (15x - 25 y) = 24-5
15x -6y -15x + 25y =19
19y = 19
y = 1
By putting y = 1 in equation 1.
5x - 2 = 8
5x = 10
x = 2
a. 6/22 or 27.27% b. 3/22 or 13.63%
there are 22 days in the range from March 18th till March 30th. each day has a probability of 1/22. add all the days together in a range to find the probability of each. A. 25,26,27,28,29,30 is 6/22 dates. B. 18,19,20 is 3/22.
1/2r - 3 = 3(4-3/2) -----> Simplify the right side.
1/2r - 3 = 3(1/2) -----> Multiply
1/2r - 3 = 3/2 ----> Add 3 to both sides
1/2r = 6/2 + 3/2
1/2r = 9/2 -----> Divide both sides by 1/2 which is the same as multiplying my 2
r = 18/2
r = 9
Hope this helps!
Answer:
∠A = 48°, ∠B = 48°, and ∠C = 84°
Step-by-step explanation:
AB = CB Given
m ∠A = m ∠C If opposite sides are =, then those opposite angles are =
6(x - 3) = 4(x + 1)
6x - 18 = 4x + 4
2x - 18 = 4
2x = 22
x = 11
m ∠A = 6(11 - 3) = 6(8) = 48°
m ∠C = 4(11+ 1) = 4(12) = 48°
The sum of the angles in a triangle = 180°
48° + 48° m ∠B = 180°
96°+ m ∠B = 180°
84° = m ∠B
Hopes this helps if right please mark as brainlist:
Answer: -12x^2 + 15x
