Answer:
2x - y - 7 = 0
Step-by-step explanation:
Since the slope of parallel line are same.
So, we can easily use formula,
y - y₁ = m ( x ₋ x₁)
where, (x₁, y₁) = (8, 9)
and m is a slope of line passing through (x₁, y₁).
and since the slope of parallel lines are same, so here we use slope of parallel line for calculation.
and, Slope = m = ![\dfrac{y_{b}-y_{a}}{x_{b}-x_{a}}](https://tex.z-dn.net/?f=%5Cdfrac%7By_%7Bb%7D-y_%7Ba%7D%7D%7Bx_%7Bb%7D-x_%7Ba%7D%7D)
here, (xₐ, yₐ) = (2, 7)
and, ![(y_{a},y_{b}) = (1, 5 )](https://tex.z-dn.net/?f=%28y_%7Ba%7D%2Cy_%7Bb%7D%29%20%3D%20%281%2C%205%20%29)
⇒ m = ![\dfrac{5-7}{1-2}](https://tex.z-dn.net/?f=%5Cdfrac%7B5-7%7D%7B1-2%7D)
⇒ m = 2
Putting all values above formula. We get,
y - 9 = 2 ( x ₋ 8)
⇒ y - 9 = 2x - 16
⇒ 2x - y - 7 = 0
which is required equation.
Because the sum of the angles in the triangle is 180°...
(x+6)+(3x-16)+x=180
5x-10=180
5x=190
x=38°
Because we want m<M, we want 3x-16.
3x-16=3(38)-16=98°
answer: 98°
Answer:
2.8 cm
Step-by-step explanation:
The area of a trapezoid is calculated using the formula:
![A=\frac{(B+b)h}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%28B%2Bb%29h%7D%7B2%7D)
where
B is the length of the major base
b is the length of the minor base
h is the height of the trapezoid
In this problem, the glass window has the shape of a trapezoid. We know that:
B = 2 cm is the length of the top base
b = 4.5 cm is the length of the bottom base
is the area of the trapezoid
Solving for h, we can find the height of the stained glass window:
![h=\frac{2A}{B+b}=\frac{2(9.1)}{2+4.5}=2.8 cm](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B2A%7D%7BB%2Bb%7D%3D%5Cfrac%7B2%289.1%29%7D%7B2%2B4.5%7D%3D2.8%20cm)
Answer:
Please post useful questions thanks!
Step-by-step explanation: