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3 years ago

For what value of x is line m parallel to line n? This is quite urgent.

Mathematics

1 answer:

pishuonlain [190]3 years ago

6 0

Answer:

Step-by-step explanation:

Line m and n are parallel lines cut by the transversal (without name). So, angles with measures $65^{\circ}$ and $(3x+5)^{\circ}$ are corresponding angles.

The Corresponding Angles Theorem states if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Hence,

$3x+5=65\\ \\3x+5-5=65-5\\ \\3x=60\\ \\x=\dfrac{60}{3}\\ \\x=20$

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What is the probability that a randomly chosen four-digit integer (no leading zeros) has distinct digits and ends with the digit

S_A_V [24]

Answer:

c. 0.0498

Step-by-step explanation:

First of all, let us find the number of four digit numbers possible.

There are 4 digits and let us have a look at the possibility of each digit.

Number of possible options for Unit's digit = 10

Number of possible options for ten's digit = 10

Number of possible options for hundred's digit = 10

Number of possible options for thousand's digit = 9 (because 0 can not be there to make it a 4 digit number)

Total number of possible outcomes = $10\times 10\times 10\times 9 = \bold{9000}$

As per the given condition, unit's digit is 7.

So, number of possible options for unit's digit = 1

Number of possible options for thousand's digit = 8 (7 and 0 can not be there to make it a 4 digit number)

Number of possible options for hundred's digit = 8 (7 and one digit used in thousand's place can not be there)

Number of possible options for ten's digit = 7 (7, two digits used at thousand's and hundred's places)

Number of possible outcomes as per given conditions = $1\times 8\times 8\times 7 = \bold{448}$

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(E) = \dfrac{448}{9000} =\bold{0.0498}$

6 0

3 years ago

What is the solution for a-2+3=-2?

Galina-37 [17]

A−2+3=−2
Step 1: Simplify both sides of the equation.
a−2+3=−2
a+−2+3=−2
(a)+(−2+3)=−2(Combine Like Terms)
a+1=−2
a+1=−2
Step 2: Subtract 1 from both sides.
a+1−1=−2−1
a=−3
Answer:
a=−3

5 0

3 years ago

A number is at most 16; what is the inequality?

mash [69]

at most= ≤

Let n=the number

n≤16

6 0

4 years ago

Andy starts with $40 and is saving at a rate of $5 per week. Samantha starts with $136 and is spending at a rate of $3 per week

My name is Ann [436]

136 - 3x = 40 +5x
136 - 40 = 5x + 3x
96 = 8x
12 = x

40 + 4(12)
40 + 48
88

A.) 12 weeks
B.) $88

6 0

3 years ago

Six time a number,increased by eight

schepotkina [342]

Answer: 6x+8

Step-by-step explanation: the number, which is the letter can be any letter you want, that doesn’t matter. So when it says six times a number, I just used x as an example. Once you have that just add a +8 because increased means add.

4 0

3 years ago