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2 years ago

I will fan and medal if you help!

Mathematics

1 answer:

Annette [7]2 years ago

8 0

Part A: The answer is B.
As vertically opposite angles are equal
x+10=4x-35
10=3x-35
45=3x
x=15

Part B: The answer is D.
We'll substitute in the value of X in one equation.
x+10
=15+10
=25
As the two angles are equal bot must be 25 degrees.

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In a survey, 200 people were polled about whether they preferred spending their free time playing sports, watching a movie, or r

Rama09 [41]

A) 25% of males preferred playing sports.

Explanation) .25 is the same is 25%.

B) 25% of the people surveyed preferred reading a book.

Explanation) You have to add up how many males and females rather
to read a book. It's .10 + .15 = 25%.

C) 70 females were surveyed out of 200 people.

Explanation) Add up .15 + .5 + .15 to get .35. Put .35 multiplied by 200 to get 70.

8 0

3 years ago

Prove that if xy > 0, then either x > 0 and y > 0 or x < 0 and y < 0

Rufina [12.5K]

The rule of product states that:

$(+) \cdot (+) = (+)$
$(+) \cdot (-) = (-)$
$(-) \cdot (+) = (-)$
$(-) \cdot (-) = (+)$

So, a product is positive if and only if both factors have the same sign, and is negative if only if the factors have opposite sign.

7 0

3 years ago

What is the prime factor of 8

ExtremeBDS [4]

Prime factor is a factor that is a prime number.
Prime factors of :
8 : 2 × 2 × 2. Also can be written as
${2}^{3}$
12 : 2 × 2 × 3. Also can be written as
${2}^{2} \times 3$

20 : 2 × 2 × 5. Also can be written as
${2}^{2} \times 5$

30 : 2 × 3 × 5

56 : 2 × 2 × 2 ×7. Also can be written as
${2}^{3} \times 7$

70 : 2 × 5 × 7

You can find all of them by using Factor Tree [ as shown in the picture] or Dividing by prime numbers.

5 0

2 years ago

These triangles are congruent by what theorem? <br>ASA or AAS

vodomira [7]

Angle angle side ( AAS)

8 0

2 years ago

The average age of all students at a certain college is 22 years and the standard deviation is 2 years. What is the probability

Marianna [84]

Answer:

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

Step-by-step explanation:

According to the given data we have the following:

mean = μ= 22

standard deviation = σ = 2

n = 100

μx = 22

σx=σ/√n=2/√100=0.2

Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2

=P(z<-1)

= 0.159

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

3 0

3 years ago