MATHEMATICS HIGH SCHOOL

In the diagram, what is the measures of angle 1?A.) 45°

B.) 135°

C.) 15°

D.) 125°

Answers

Answer 1

Answer:

Answer:

The correct option is A.

Step-by-step explanation:

Line A and B are parallel lines.

$\angle 1=3x$ ....(1) (Alternate exterior angles)

$\angle 1+9x=180$ (Supplementary angles)

$3x+9x=180$

$12x=180$

$x=15$

The value of x is 15.

Put this value in equation (1).

$\angle 1=3* 15=45$

Therefore measures of angle 1 is 45° and option A is correct.

Answer 2

Answer:

Answer:

45 i just took the test.

Step-by-step explanation:

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Plz Hurry In which number is the value of the digit in the ten-thousands place 10 times the value of the digit in the thousands place? A. 80,846 B. 68,486 C. 88,604 D. 64,808

20 POINTS FOR 3 QUESTIONS!!!!Given: ∆ABC, AB = BC, m∠1<90°

Perimeter of ∆ABC = 25

Difference between the two sides is 4

Find: AB, BC, AC

List the sides of ΔRST in in ascending order (shortest to longest) if:

m∠R = 3x+42°, m∠S = 4x−11°, and m∠T = x+13°

List the sides of ΔRST in in ascending order (shortest to longest) if:

m∠R = 2x+11°, m∠S = 3x+23°, and m∠T = x+42°

Answers

Answer with Step-by-step explanation:

1.In triangle ABC

AB=BC

Let AB=BC=x and AC=y

Perimeter of triangle ABC=25

$x+x+y=25$

$2x+y=25$ ...(1)

$x-y=4$ ...(2)

Adding equation (1) and (2)

$3x=29$

$x=(29)/(3)=9.67$

Substitute x=9.67 in equation (2)

$9.67-y=4$

$y=9.67-4=5.67$

$AB=BC=9.67$

$AC=5.67$

2. $m\angle R=2x+11$

$m\angle S=3x+23$

$m\angle T=x+42$

$m\angle R+m\angle S+m\angle T=180^(\circ)$

By using triangle angle sum property

Substitute the values then we get

$3x+42+4x-11+x+13=180$

$8x+44=180$

$8x=180-44=136$

$x=(136)/(8)=17$

Substitute the value

$m\angle R=3(17)+42=93^(\circ)$

$m\angle S=4(17)-11=57^(\circ)$

$m\angle T=17+13=30^(\circ)$

$m\angle R>m\angle S$

$m\angle S>m\angle T$

$ST>RT$ (Side ST is opposite to angle R, Side RT is opposite to angle S

$RT>RS$ (side RS is opposite to angle T)

When a>b

Then , opposite side of a> opposite side of b

RS<RT<ST

3. $m\angle R=2x+11$

$m\angle S=3x+23$

$\angle T=x+42$

$m\angle R+m\angle S+m\angle T=180^(\circ)$

By using triangle angle sum property

Substitute the values then we get

$2x+11+3x+23+x+42=180$

$6x+76=180$

$6x=180-76$

$6x=104$

$x=(104)/(6)=17.3$

Substitute the value

$m\angle R=2(17.3)+11=45.6$

$m\angle S=3(17.3)+23=74.9$

$m\angle T=17.3=42=59.3$

$m\angle S>m\angle T$

$m\angle T>m\angle R$

RT>RS

RS>ST

ST<RS<RT

Dawn and Pablo are members of a normally distributed population that is being sampled. If the chance of Dawn being included in the sample is 0.05%, what must the chance of Pablo being included in the sample be in order to be able to make inferences about the population based on the sample?A) 0%
B) greater than 0% and less than 0.05%
C) 0.05%
D) greater than 0.05%

Answers

Answer: option C) 0.05%

In a normal distribution there are no biases, the chances (probabilities) of any member to be selected are the same. So, the chance to choose Pablo are the same that the chance to choose Dawn.

Answer:

C. 0.05%

Step-by-step explanation:

NONE

Egg noodles: Package A is 12 oz. for $0.99. Package B is 2 lbs. for $2.56 Which is the better deal

Answers

Answer:

Package A

Step-by-step explanation:

$0.99 ÷ 12oz = 0.0825

2lb = 32oz

$2.56 ÷ 32oz = 0.0800

therefore the package a is a better deal

Simplify an expression for the perimeter of the equilateral triangle shown below, in centimeters.Show your work AND Label your answer!
1.75x – 2

Answers

Answer:

1.75×2-2

Step-by-step explanation:

Final answer:

The perimeter of an equilateral triangle, with side length expressed as 1.75x – 2, can be found by tripling the side length expression. Thus, the simplified expression for the perimeter is 5.25x – 6 centimeters.

Explanation:

The question concerns a geometric concept - the perimeter of an equilateral triangle. An equilateral triangle is a triangle in which all three sides are equal. Therefore, to find the perimeter (the distance around the triangle), we simply add up the lengths of all the sides. Since all sides are equal for our triangle, we can multiply the length of one side by three to get the total perimeter.

The given expression for the side length of the equilateral triangle is 1.75x – 2. That's one side. Since an equilateral triangle has three sides of equal lengths, the expression for the perimeter will be 3 times the expression given for one side. Therefore, multiply the expression 1.75x – 2 by 3. So, P = 3(1.75x – 2). By distributing the 3, the simplified expression for the perimeter (P) is P = 5.25x – 6 (centimeters). Thus, the expression 5.25x – 6 simplifies the perimeter of the equilateral triangle in terms of x.

Learn more about Perimeter of an Equilateral Triangle here:

brainly.com/question/32081687

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Solve the equation x+10=30

Answers

get x alone on one side and solve

x = 30 - 10
x = 20

X+10=30
Subtract 10 from both sides
X+10=30
-10 -10
X=20
Answer:
X=20

The Gallup Poll uses a procedure called random digit dialing, which creates phone numbers based on a list of all area codes in America in conjunction with the associated number of residential households in each area code. Give a possible reason the Gallup Poll chooses to use random digit dialing instead of picking phone numbers from the phone book.

Answers

Random digit dialing (RDD) is a method for selecting people for involvement in telephone statistical surveys by generating telephone numbers at random. Random digit dialing has the advantage that it includes unlisted numbers that would be missed if the numbers were selected from a phone book.

Answer:

Random dialing saves time and can cover the region better than the phone book.

Step-by-step explanation:

Not all phone numbers in the region are in the phone book, so dialing through the phone book would be limited, and it would take a long time to dial the numbers on each call. With that Gallup would take longer to complete his work and do a limited job.

On the other hand, random digit dialing would randomly generate phone numbers and select people to participate in Gallup's work much faster, which would allow Gallup to get more calls and work faster and more efficiently.

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