Answer:
28
Step-by-step explanation:
Cross multiply
18k = 12 x 42
18 k = 504
k = 504/18
k = 28
Answer:
centre = (1, - 3 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 1)² + (y + 3)² = 73 ← is in standard form
with (h, k ) = (1, - 3 ) ← centre
Answer:
Options (C)
Step-by-step explanation:
For the congruence of the triangles ΔADB and ΔADC,
Statements Reasons
1). AB ≅ AC 1). Given
2). AD ≅ AD 2). Reflexive property
3). ∠BAD ≅ ∠CAD 3). Given
4). ΔABD ≅ ΔCAD 4). SAS postulate
Therefore, Options (C) will be the correct option.
Answer:
a) 4x + 76 = 180 (x = 26)
b)
- m<1 = 102
- m<2 = 78
Step-by-step explanation:
First we know 4x + 76 = 180. The reason for that is we know angle one plus angle two = 180 so 3x + 1x + 76 has to equal 180.
We can solve for x now.
4x + 76 = 180.
Subtract 76 to maintain equality on both sides.
4x = 104.
x = 26
Now we can get the angles.
For angle #1 let's substitute x as 26.
angle one = 26 + 76.
angle one = 102
For angle #2 let's substitute x as 26.
angle two = 3(26)
angle two = 78
Let's check!
78 + 102 = 180.
180 = 180 YES
Well, this took some time :)
