The parking lot had 1.5 times as many trucks as cars. after 45 more cars came to the parking lot and 12 trucks left, there were 17 more cars than trucks on the parking lot. how many cars were there on the parking lot?

Total number of cars in the parking lot are 80.

Step-by-step explanation:

Let the number of cars = x and the number of trucks = y

Since, there are 1.5 times many cars than the truck, we get,

Number of cars = 1.5 time number of trucks

i.e.

Also, it is given that when 45 cars were added in the lot, 12 trucks left the parking lot.

So, we get,

Number of cars + 45 = Number of trucks - 12

i.e.

Finally, there are 17 cars more than the trucks.

We have the required equation,

i.e.

i.e.

i.e.

i.e. x= 80

Thus, the total number of cars in the parking lot are 80.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.