9. nick has desigied a diamond-shaped kite as shown below. the measures of so me sides of the kite, are marked in the
figure. find the value of x (justify)

Step-by-step explanation:

step 1

In the right triangle DOC

Find the measure of side DO

Applying the Pythagoras Theorem

substitute the given values

step 2

In the right triangle DOC

Find the sine of angle ∠ODC

sin(∠ODC)=OC/DC

substitute

-----> equation A

step 3

In the right triangle DOP

Find the sine of angle ∠ODP

sin(∠ODP)=OP/DO

substitute

-----> equation B

step 4

Find the value of x

In this problem

∠ODC=∠ODP

so

equate equation A and equation B

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.