A bag contains blue marbles and red marbles, 107 in total. The number of blue marbles is 7 more than 4 times the number of red marbles. How many blue marbles are there?

red is 13.36

Blue is 93.625

Step-by-step explanation:

Let the red marbles be y

Based on the question,red is 4times which means 4y

And blue is 7times greater than red which means 7(4y)

Blue + red=107

7(4y) + 4y=107

28y+4y=107

32y=107

Divide both sides by 32

Y=3.34

Red =4y

Red= 4(3.34)

Red =13.36

Blue= 7(4y)

Blue=7(4×3.34)

Blue= 93.625

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer

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.