Find the value of x.

Mathematics

2 answers:

kiruha [24]3 years ago

6 0

Answer:

x = 40

Step-by-step explanation:

gulaghasi [49]3 years ago

3 0

Answer:

20°

Step-by-step explanation:

Triangle NQP is a right triangle, so angle PNQ is the complement of angle P. It is 50°.

Angle RNQ is the base angle of isosceles triangle RNQ, which is 120° at angle R. So, angle RNQ = (180° -120°)/2 = 30°.

Now we have ...

x +30° = 50°

x = 20°

You might be interested in

Universal Pet house sells vinyl doghouse and treated lumber doghouses. It takes the company 5 hours to build a vinyl doghouses a

LuckyWell [14K]

Answer:

The system of equations is :

Equation 1- $5x+2y=50$

Equation 2- $x+2y=30$

Number of vinyl doghouse = 5

Number of treated lumber doghouse =12.5

Step-by-step explanation:

Let x be the number of vinyl doghouses

y be the number of treated lumber doghouses

→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.

Equation 1- $5x+2y=50$

→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.

Equation 2- $x+2y=30$

→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.

Subtract equation 2 from equation 1

$5x+2y-x-2y=50-30$