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What is the value of x? Enter your answer in the box. x = $\text{Basic}$ $x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$ $x\frac{ }{ }$ $x^{
}$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$ Two intersection lines. Angle formed at the top is labeled 3 x plus 50 degrees. Angle formed at the bottom is labeled 6 x minus 10 degrees.
2 answers:
Answer: x = 20
Step-by-step explanation:
Sine when two lines intersect then we obtained two pairs of congruent vertically opposite angles,
Here, 3x + 50 and 6x - 10 are vertical opposite angles made by the intersection of lines,
⇒ 3 x + 50 = 6 x - 10
⇒ 3 x = 6 x - 10 - 50
⇒ 3 x - 6 x = -60
⇒ - 3 x = - 60
⇒ x = 20
Hence, the value of x is 20.
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Answer:
a) quotient = 2, remainder = 5
b) quotient = -10, remainder = -1
c) quotient = 34, remainder = 7
d) quotient = 77, remainder = 0
e) quotient = 0, remainder = 0
f) quotient = 0, remainder = 3
g) quotient = 0, remainder = -1
h) quotient = 4, remainder = 0
Step-by-step explanation:
The relationship between the quotient, remainder and divisor is that the product of the quotient and divisor added to the reminder gives the dividend.
Based on this, when
a)19 is divided by 7 = 19/7
= 2
Hence the quotient is 2, the remainder is 5
Applying the same principle, when
b) −111 is divided by 11
= -10
Hence the quotient is -10, the remainder is -1
c) 789 is divided by 23
=34
Hence the quotient is 34, the remainder is 7
d) 1001 is divided by 13
= 77
Hence the quotient = 77, the remainder is 0
e) 0/19 = 0
Hence the quotient is 0, the remainder is 0
f) 3/5
Hence the quotient is 0, the remainder is 3
g) -1/3
Hence the quotient is 0, the remainder is -1
h) 4/1
Hence the quotient is 4, the remainder is 0