Explanation If a figure is rotated around a centre point and it still appears exactly as it did before the rotation, it is said to have rotational symmetry.
Examples : A number of shapes like squares, circles, regular hexagon, etc. have rotational symmetry.
Answer:
-82, -83, -84
Step-by-step explanation:
Using a variable and corresponding expressions, we can set the sum of the consecutive integers equal to -249 and solve:
first integer: x
second integer: x + 1
third integer: x + 2
x + x + 1 + x + 2 = -249
Combine like terms: 3x + 3 = -249
Subtract 3 from both sides: 3x + 3 - 3 = -249 - 3 or 3x = -252
Divide both sides by 3: 3x/3 = -252/3
Solve for x: x = -84
first integer: -84
second integer: -84 + 1 = -83
third integer: -84 + 2 = -82
Answer:
The two numbers are -164 and -287
They could also be 164 and 287
Step-by-step explanation:
The ratio of 2 numbers 4/7
x/y = 4/7
Using cross products
7x =4y
Their difference is 123
x-y = 123
x = 123+y
Substituting in
7(123+y) =4y
Distribute
861 +7y = 4y
Subtract 7y from each side
861 +7y-7y = 4y-7y
861 = -3y
Divide each side by -3
861/-3 = -3y/-3
-287 = y
Now we need to find x
x = 123+y
x = 123+ -287
x = -164
The numbers could also be 164 and 287
The difference is 287-164 = 123
And the ratio is 164/287 = 4/7
Answer:
A.
Statement: ∠6 ≅ ∠14
Reason: For parallel lines cut by a transversal, corresponding angles are congruent.
Step-by-step explanation:
In the figure attached, a plot of the problem is shown.
Given p || q and r is a transversal which cut p and q, then ∠1 ≅ ∠5 and ∠2 ≅ ∠6.
Given r || s and q is a transversal which cut r and s, then ∠6 ≅ ∠14 and ∠8 ≅ ∠16.
From the picture we see that ∠1 and ∠2 are supplementary, that is, their addition is equal to 180º. ∠2 ≅ ∠6 and ∠6 ≅ ∠14, then ∠2 ≅ ∠14, in consequence ∠1 and ∠14 are supplementary.
Answer:
d
Step-by-step explanation:
