Answer:
6 inches
Step-by-step explanation:
105÷35=3
3x2=6
Answer:
The measure of one angle is
, and the measure of the other one is 
Step-by-step explanation:
Recall that supplementary angles are those whose addition renders 
We need to find the measure of two such angles whose difference is precisely
.
Let's call such angles x and y, and consider that angle x is larger than angle y, so we can setup the following system of equations:

We can now solve this by simply combining term by term both equations, thus cancelling the term in "y", and solving first for "x":

So, now we have the answer for one of the angles (x), and can use either equation from the system to find the measure of angle "y":

Answer:
-10
Step-by-step explanation:
Answer:
t = 59°
Step-by-step explanation:
t and 59° are vertically opposite angles and are congruent , so
t = 59°
Answer: The altitude of the smaller triangle is 14.4 inches
Step-by-step explanation:
Two similar triangles have a scale factor of 3:5. This can also be expressed as 3/5
The altitude of the larger triangle is 24 inches. The difference in altitude or other lengths of the two similar triangles is linear. To determine the altitude of the smaller triangle, let us assign x to the altitude of the smaller triangle. It means that 3:5 = x : 24. Therefore
3/5 = x/24
Cross multiplying, it becomes
5x = 3×24 = 72
x = 72/5 = 14.4