Answer:
90.5 degrees
Step-by-step explanation:
The sum of the angle in triangle XYZ is 180 degrees, hence;
m<XYZ + m<YXZ + <XZY = 180
Substitute the given angles
75 + 14.5 + <XZY = 180
89.5+m<XZY = 180
m<XZY = 180 - 89.5
m<XZY = 90.5 degrees
Hence the measure of angle XZY in degrees is 90.5 degrees
Answer:

Step-by-step explanation:
<em>See attachment for number line</em>
From the attachment, we have the following details:
The first shade of blue covered 10 blocks
The second shade of blue covered 5 further blocks which totaled to 15
So, the fraction of the blue blocks is:

Divide fraction by 5/5


Also from the attachment:
The shaded block stopped at the fraction:

So, the expression that represents this scenario is:


<em>Option (c) answers the question</em>
Answer:
9 red tiles
Step-by-step explanation:
Total number of tiles: 
Total number of red tiles: 
Probability of getting red in one draw: 
<em>This means that you would expect to get red
or 30% of the times.</em>
<em>Hence, when you draw tiles 30 times from the bag, you would expect red to be picked 30% of 30 times. This is:</em>
<em>
</em>
So, you would expect to draw a red tile from the bag 9 times.
This is a geometric progression problem. We can the general formula that can tell us how many flowers would be planted each month.
Let's write the terms that we know and see if we can find the pattern:

The patern here is obvious. Let's write it down:

This formula gives us a number of flowers planted in the n-th month.