Here is a scale drawing of a garden. Kim wants to plant a tree in the garden according to the following rules: It must be 7 m from A and 4 m from C. Place a cross where Kim can plant the tree.

On the scale drawing of the garden, the point to plant the tree is 3.5cm from point A and 2cm from point C

The scale factor is given as: 1 cm represents 2 m

From the question, we understand that the point to plant the tree is 7m from point A and 4 m from point C

Using the scale factor, the location of the point is calculated as follows:

This means that the point is 3.5cm from point A and 2cm from point C

Read more about scale factors and dilations at:

link

If the scale is 1 or more cm to every meter you can count 7 from A

if it is 2cm to every meter you can count 6cm and count this as 3 meter so that when you extend another 6cm you have 3m +3m = 6 meters it would just be 2 more cm to count for 1 m  to equal it has 7m.

Repeat for 4m for C which is 4 groups of cm depending what the scale is.

The two should meet at a cross the same as counting one direction from 7 and counting across for 4 in another direction.

Step-by-step explanation:

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1