Answer:
The value of x is 5
Step-by-step explanation:
<em>The measure of the </em><em>exterior angle</em><em> at one vertex of a triangle equals the </em><em>sum of the measures of the two opposite interior angles</em><em> to this vertex</em>
In ΔQRS
∵ ∠QRS is an exterior angle of the triangle at vertex R
∵ ∠PQR and ∠RPQ are the opposite interior angles of vertex R
→ By using the rule above
∴ m∠QRS = m∠PQR + m∠RPQ
∵ m∠QRS = (10x - 10)°
∵ m∠PQR = (2x + 1)°
∵ m∠RPQ = (3x + 14)°
→ Substitute them in the equation above
∴ 10x - 10 = 2x + 1 + 3x + 14
→ Add the like terms in the right side
∵ 10x - 10 = (2x + 3x) + (1 + 14)
∴ 10x - 10 = 5x + 15
→ Subtract 5x from both sides
∵ 10x - 5x - 10 = 5x - 5x + 15
∴ 5x - 10 = 15
→ Add 10 to both sides
∵ 5x - 10 + 10 = 15 + 10
∴ 5x = 25
→ Divide both sides by 5 to find x
∴ x = 5
∴ The value of x is 5
Fnfnf kenzie said i had trttttttttt
Answer:
x=32
Step-by-step explanation:
you have to solve by taking the interior angle of polygon
The correct answer is 4
100=25/X
X=4
Answer:
$ 327.08
Step-by-step explanation:
Let x = width of the container,
Then Length of the container = 2x
Let h = height of the container,
volume of the container can be calculated as length × width × height
= 2x × x × h
= 2x² h
Then we can say Volume =
= 2x² h=10
If we simplify inorder to get h
We have h= 5/x²
Then the area= (2L×h) +(2xh)
Where L is lenght
x= wish
h= height
= 2× 2x × h+ x× h
= 4x× 5/x + 2x × 5/x
Area = 30/x
Now, the area of the base = length × width
But from question, for the base costs $20 per square meter. Material for the sides costs $12 per square meter
Then the cost C(x)= 2x²× 20+30/x ×12
C(x)= 40x²+35/x²
If we differenciate wrt x we have
C(x)= 80-360/x²
If we equate C(x)=0the
80=360/x²
x= 1.651
If substitute to C(x)= 40x²+35/x²
C(x) = 40(1.651)² + 35/(1.651)²
We have cost= 327.08
