Answer:
MT is congruent to MS
Step-by-step explanation:
...6 and 10 are roots, so x – 6 and x – 10 are factors.
y = a(x – 6)(x – 10).....plug in the point (8, 2) and solve for a:
2 = a(8 – 6)(8 – 10)
2 = –4a
a = –1/2
...y = (–1/2)(x – 6)(x – 10)
...y = (–1/2)(x² – 16x + 60)
...y = (–x²/2) + 8x – 30 <<<------Answer, or:
...y = (–1/2)(x – 8)² + 2 <<<------Answer
If the point is a y-intercept the x value would be zero. 8 is the slope, 7 is the y-intercept
y=mx+b
(0,7)
Answer:
Here, Exterior angles are ∠1, ∠2, ∠7 and ∠8
Interior angles are ∠3, ∠4, ∠5 and ∠6
Corresponding angles are ∠
(i) ∠1 and ∠5
(ii) ∠2 and ∠6
(iii) ∠4 and ∠8
(iv) ∠3 and ∠7
Axiom 4 If a transversal intersects two lines such that a pair of corresponding angles is equal, then the two lines are parallel to each other.
Thus, (i) ∠1 = ∠5, (ii) ∠2 = ∠6, (iii) ∠4 = ∠8 and (iv) ∠3 = ∠7
Alternate Interior Angles: (i) ∠4 and ∠6 and (ii) ∠3 and ∠5
Alternate Exterior Angles: (i) ∠1 and ∠7 and (ii) ∠2 and ∠8
If a transversal intersects two parallel lines then each pair of alternate interior and exterior angles are equal.
Alternate Interior Angles: (i) ∠4 = ∠6 and (ii) ∠3 = ∠5
Alternate Exterior Angles: (i) ∠1 = ∠7 and (ii) ∠2 = ∠8
Interior angles on the same side of the transversal line are called the consecutive interior angles or allied angles or co-interior angles. They are as follows: (i) ∠4 and ∠5, and (ii) ∠3 and ∠6
Answer:
AB = 14
Step-by-step explanation:
We can add the segments together to find the total
AB + BC = AC
This will allow us to find x
4x+2 + 3x-1 = 22
Combine like terms
7x +1 = 22
Subtract 1 from each side
7x+1-1 = 22-1
7x = 21
Divide by 7
7x/7 = 21/7
x = 3
Now we can find the length of AB
AB = 4x+2 = 4(3)+2 = 12+2 = 14
