The value of x is 28 .
<h3>What is a Triangle ?</h3>
A triangle is a polygon with three sides , three angles and three vertices.
According to the Proportionality Theorem
When a line is parallel to one side and intersects the other lines at two different points then it divides both the line in similar ratio.
As in the given figure DC is parallel to AP ,
then RD : DP = RC:CA
42:15 = x: 10
42/15 = x / 10
x = 42 * 10 /15
x = 28
Therefore the value of x is 28 .
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Answer:
if -5n+7<57, then n>-10.
if 6n+2<8, then n<1.
Step-by-step explanation:
-5n+7<57
1. subtract 7 from both sides:
-5n+7 -7< 57 -7
-5n<50
2. divide both sides by -5 (remember to flip the sign whenever you divide by a negative number):
-5n ÷-5<50 ÷-5
n>-10
6n+2<8
1. subtract 2 from both sides:
6n+2 -2<8 -2
6n<6
2. divide both sides by 6:
6n ÷6<6 ÷6
n<1
Answer:
m∠XMN = 80°
Step-by-step explanation:
you know that:
4x + 5 + 6x - 10 = 145
solve for x:
10x - 5 = 145
10x = 150
x = 15
Use this information to solve for m∠XMN
6(15) - 10
90 - 10
80
m∠XMN = 80°
Answer:
20 and 40
Step-by-step explanation:
30
