Find the measurement of d please!

Given the information in the diagram, the measurement of d is 5m.

Step-by-step explanation:

In the diagram, we know that the two triangles are similar to each other meaning their segments have equal ratios. We are already given the measurements of two segments. Let's find the ratio.

8 : 4

This can also be written as...

2 : 1

Now, we can find the measurement of d by using this ratio.

Cross - multiply.

= 5

So, the measurement of d is 5m.

3 qrs + 3/2 xy hope this : /

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: