Hi Bre,
Since lines a and b are parallel, we know that in the image:
- ∡1 ⇔ ∡5
- ∡2 ⇔ ∡6
- ...
- ∡4 ⇔ ∡8
We're given the angle of ∡7, which is 114°. We can see that ∡7 + ∡8 will equal to 180° (since line b is a straight line) and since ∡8 ⇔ ∡4, we can deduct that ∡7 + ∡4 = 180°.
From here, it's just imputing the information and solving.
⇒ 114° + ∡4 = 180°
⇒ ∡4 = 180° - 114°
⇒ ∡4 = 66°
-Hope this helps!
Answer:
a x (a2-2)
Step-by-step explanation:
the 2 is supposed to be above the a I don't know how to that while typing.
Answer:xy6
Step-by-step explanation:
The solution of the equation is x= 3 and y = 2
Step-by-step explanation:
Given,
-3x-4y = -17 and
-x-3y = -9
The system of equation can be rewritten as
3x+4y = 17 ------eq 1 and
x+3y = 9 ------ eq 2
To solve for x and y
Multiplying eq 2 by 3 we get,
3x + 9y = 27
or, 3x = 27-9y
Putting this value of x into eq 1 we get,
27-9y +4y = 17
or, -5y = 17-27
or, -5y = -10
or, y = 2
Now put y=2 in eq 2 we get,
x = 9 - 3(2)
= 3
Hence the solution is x = 3 and y = 2
Answer:
The shape can be broken into a rectangular prism and a triangular prism.
The volume of the ramp is 24 feet cubed.
Step-by-step explanation:
The ramp has a rectangular prism and triangular prism. The combined shape makes the ramp.
The volume of a rectangular prism = Bh
where
B = base area
B = length × width
h = height
volume = 1.5 × 4.8 × 2 = 14.4 ft³
The volume of a triangular prism = base area + slant height
volume = 1/2 b × h × l
where
b = base of the triangle
h = height of the triangle
l = slant height of the prism
volume = 1/2 × 2 × 2 × 4.8 = 19.2/2 = 9.6 ft³
The volume of the ramp = 14.4 + 9.6 = 24 ft³
