Answer:
once you have a common denominator, you simply add the numerators together and then simplify.
Step-by-step explanation:
Answer: 4x + 6
Explanation:
Answer:
The similar triangles are
and 
and 
Step-by-step explanation:
Given
See attachment for the required figure
Solving (a): The similar triangles
The similar triangles are
and 
Solving (b): Why they are similar
Both triangles are similar because
is dilated (i.e. enlarged) and then reflected to give
.
Solving (c): Calculate BE and PE
The following are equivalent ratios

and

Solving for BE, we have:

Substitute the known values

Express as fraction

Multiply both sides by 450


-- approximated
Solving for PE, we have:

Substitute known values

Express as fraction

Multiply both sides by 400



The rate of a unit per one. So for example 40miles/1hour. Hope it helped. :)
Answer:
b = 17
∠QPS = 124°
∠SPT = 17°
∠TPR = 39°
Step-by-step explanation:
- The sum of the three angles shown is a linear angle, with a measure of 180°.
This fact can be used to write an equation:
(8b -12)° +b° +(2b+5)° = 180°
11b -7 = 180
11b = 187
b = 17
8b -12 = 8(17) -12 = 124
2b +5 = 2(17) +5 = 39
The value of b is 17.
The angle measures are ...
∠QPS = 124°
∠SPT = 17°
∠TPR = 39°