the answer in standard form is 2x -5y = -3
Answer:
Step-by-step explanation:
5. is hypothenuse because it is across from the right angle
3. and 4. are legs
You want to figure out what the variables equal to, all of these are parallelograms meaning opposite sides and angles are equal to each other.
In question 1 start with 3x+10=43, this means that 3x is 10 less than 43 which is 33, 33 divided by 3 is 11 meaning x=11.
Same thing can be done with the sides 124=4(4y-1), start by getting rid of the parentheses with multiplication to get 124=16y-4, this means that 16y is 4 more than 124, so how many times does 16 go into 128? 8 times, so x=11 and y=8
Question 2 can be solved because opposite angles are the same in a parallelogram, so u=66 degrees
You can find the sum of the interial angles with the formula 180(n-2) where n is the number of sides the shape has, a 4 sided shape has a sum of 360 degrees, so if we already have 2 angles that add up to a total of 132 degrees and there are only 2 angles left and both of those 2 angles have to be the same value then it’s as simple as dividing the remainder in half, 360-132=228 so the other 2 angles would each be 114, 114 divided into 3 parts is 38 so u=66 and v=38
Question 3 and 4 can be solved using the same rules used in question 1 and 2, just set the opposite sides equal to each other
Answer:
912.414
Step-by-step explanation:
The angle
θ
between the directions of motion of planes
θ
=
320
−
200
=
120
∘
The distance
a
traveled by first plane flying at a speed of
150
km/hr
in
3
hrs
a
=
150
⋅
3
=
450
k
m
Similarly, the distance
b
traveled by second plane flying at a speed of
200
km/hr
in
3
hrs
b=
200x3=
600 km
Now, the distance between the planes after 3
hrs will be equal to the side of a triangle opposite to the angle θ=120∘
included by the sides
a
=
450
& b=
600
.
Now, using Cosine rule in the concerned triangle, the distance between the plane after
3
hours is given as
