Answer:
m∠QPR = 20°
Step-by-step explanation:
If we make a sketch of the triangle, it will be observed, that line R bisects angle P.
Considering Triangle, ΔQPS;
∠QPS=107∘
Considering triangle, QPR;
∠QPR=9x-115∘
Considering triangle, RPS;
∠RPS=4x+27∘
Thus, ∠RPS + ∠QPR = ∠QPS
4x+27° + 9x-115° = 107°
13x - 88° = 107∘
13 x = 107∘ + 88∘
13x = 195°
x = 195°/13
x = 15°
m∠QPR = 9x - 115°
= (9 x 15) - 115°
= 135° - 115°
= 20°
Therefore, m∠QPR = 20°
Answer:
x=2
Step-by-step explanation:
x+(2x)^2=18
Hello.
Have a beautiful and joyful day ahead.
<span>This problem is an
example of ratio and proportion. A ratio is a comparison between two different
things. You are given the equivalent distance of a 1 2/5
kilometers to 1 mile. Also you are given 4 miles. You are required to find the distance
in kilometers of 4 miles. The solution of this problem is,</span>
1 2/5
kilometers /1 mile = distance/ 4 miles
distance = (4
miles) (1 2/5 kilometers /1 mile)
<u>distance =
28/5 or 5.6 kilometers</u>
<u>There are 5.6
kilometers in 4 miles.</u>
Answer:
7.5
Step-by-step explanation:
To solve this expression, we can use PEMDAS or order of operations.
<u>Parenthesis</u>
<u>Exponents</u>
<u>Multiplication>Division (Depends on which comes first from left to right)</u>
<u>Addition>Subtraction (See Multiplication>Division)</u>
So First, lets solve the <u>Parenthesis</u>. -2/5=-.4
So now, our equation is -3/-.4
There is no exponents or multiplication, so lets just <u>Divide</u>.
-3/-.4=7.5
The solution is 7.5
Hope this helps!
