Answer:
y = 2x - 5
Step-by-step explanation:
The equation has to have the same slope -- in this case, it is 2 -- to be parallel to 2x - y = 4.
Now we have y = 2x - k.
Then, we plug in the coordinates to our new equation to solve for k.
-1 = 2(2)-k
-1 = 4-k
k = 5
So the final equation would be y = 2x - 5
Answer:
231
Step-by-step explanation:
35 % = 0.35
35 % of the students participate in sports
No. of students participating = 0.35 × 660 = 231
Answer:
m∠N = 51°
m∠M = 31°
m∠O = 98°
Step-by-step explanation:
It is given that ΔMNO is an isosceles triangle with base NM.
m∠N = (4x + 7)° and m∠M = (2x + 29)°
By the property of an isosceles triangle,
Two legs of an isosceles triangle are equal in measure.
ON ≅ OM
And angles opposite to these equal sides measure the same.
m∠N = m∠M
(4x + 7) = (2x + 29)
4x - 2x = 29 - 7
2x = 22
x = 11
m∠N = (4x + 7)° = 51°
m∠M = (2x + 9)° = 31°
m∠O = 180° - (m∠N + m∠M)
= 180° - (51° + 31°)
= 180° - 82°
= 98°
Answer:
A) 5x-6y=3
B) 7y=2x+8
B) -2x + 7y = 8 then multiplying "B" by 2.5
B) -5x +17.5y = 20 then adding this to A
A) 5x -6y = 3
11.5y = 23
y = 2
x = 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2
