The height of two plants is in the ratio 7 : 9. The height if the taller plant is 26cm more than the height of the shorter plant. [3] a) What is the height of taller plant?
b) What is the height of shorter plant?
c) What is their total length?

see explanation

Step-by-step explanation:

Plants in ratio 7 : 9 = 7x : 9x ( where x is a multiplier )

Taller plant is 26 cm more than height of smaller, then

(a)

9x = 7x + 26 ( subtract 7x from both sides )

2x = 26 ( divide both sides by 2 )

x = 13

taller plant = 9x = 9 × 13 = 117 cm

(b)

shorter plant = 7x = 7 × 13 = 91 cm

(c)

total length = 117 + 91 = 208 cm

a)  117 cm b) 91 cm  c) 208 cm

Step-by-step explanation:

given smaller plant:taller plant = 7 : 9

let the height of smaller plant be x

then the height of taller plant will be x + 26

using this a equation can be formed:

9x = 7 ( x + 26 )

9x = 7x + 182

2x = 182

x = 91 cm this is the height of smaller plant

the height of taller plant will be:

x + 26 = 91 + 26 = 117 cm this is the height of taller plant

Now total length: 117 + 91 = 208 cm this is the total length.

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.

its adding 5.5 each time

step-by-step explanation: