5) A manufacturer produces paperweights composed of two congruent triangles as shown.

The length of the hypotenuse is
A. 6
B. 8
C. 10

The total length of the base of the paperweight is
A. 6
B. 8
C. 10​

5) A Manufacturer Produces Paperweights Composed Of Two Congruent Triangles As Shown.The Length Of The

Answers

Answer 1

Answer:

Step-by-step explanation:

Since, both the triangles of the paperweight are congruent,

Their corresponding sides will be congruent.

3x + 2.5 = 4

3x = 4 - 2.5

x = 0.5

Similarly, 2y - 5 = 3x + y

2y - y = 3x + 5

y = 3x + 5

y = 3(0.5) + 5

y = 1.5 + 5

y = 6.5

Total length of the hypotenuse = 2y - 5

                                                    = 2(6.5) - 5

                                                    = 13 - 5

                                                    = 8

Option B is the answer.

Total length of the base = (3x + 2.5) + 4

                                        = 3x + 6.5

                                        = 3(0.5) + 6.5

                                        = 8

Option B is the answer.


Related Questions

A room has a length of 5·25m and a width of 3·68m. What is the perimeter of the room?

Answers

Answer:

Perimeter = 17.86 m

Step-by-step explanation:

Perimeter = 2(L + W) = 2(5.25 + 3.68) = 17.86 m

Fill in the blank.

|-1.54| = ____

Answers

Answer:

1.54

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a , then

| - 1.54 | = 1.54

1.54

This is because the absolute value is always positive

23. What is the value of x?

Answers

Answer:

9

Step-by-step explanation:

If PQ || to BC

Then by BASIC PROPORTIONALITY THEOREM:

[tex] \frac{8}{40} = \frac{x}{45} \\ \\ \frac{1}{5} = \frac{x}{45} \\ \\ x = \frac{45}{5} \\ \\ x = 9[/tex]

5. Write an equivalent expression to 1/4 (24x + 7 – 12x).

Answers

Answer:

Step-by-step explanation:

The easiest and most proper way to approach this task is to combine like terms inside parentheses:  (24x + 7 – 12x) => (12x + 7).

Then (1/4)(24x + 7 – 12x) = (1/4)(12x + 7).  This is an acceptable answer.  There is the option of carrying out the multiplication, which results in

3x + 7/4, which is another acceptable answer.

The table below shows the scores on a science test.
John
75 Brett
80
Elizabeth 90
Cindy
100
Jake
75
Kenji
85
Rick
80 Joy
80
Raul
90 Suni
85
The number of standard deviations between a score and the mean score is indicated by a z-score. What was Cindy's
Z-score on the science test?
a. -2.2
C. 16
b. 100
d. 2.2

Answers

Standard deviation is 7.35
Mean is 84

Cindy got a 100

(100-84)/7.35=2.2

D FINAL ANSWER

Based on the test scores of the students, Cindy's z-score on the science test is 2.2

How to determine the z-score of Cindy?

We start by calculating the mean of the scores using:

Mean =Sum/Count

So, we have:

Mean = (75 + 80 + 90 + 100 + 75 + 85 + 80 + 80 + 90 + 85)/10

Mean = 84

Using a statistical calculator, the standard deviation is:

Standard deviation = 7.35

The z-score is then calculated using:

z = (x - mean)/standard deviation

Cindy's score is 100.

So, we have:

z = (100 - 84)/7.35

Evaluate

z = 2.2

Hence, Cindy's z-score on the science test is 2.2

Read more about z-scores at:

https://brainly.com/question/25638875

#SPJ2

What is the y-intercept of a line through (2, 7) and perpendicular to the
graph of y=-3/2x+6

Answers

Answer:

it is y=-3/2x+6 and then you subtract it by 2 and then add 7 and then u get 49

Step-by-step explanation:

I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Here is the answer

Step-by-step explanation:

Researchers would like to assess the overall health of white pine trees in a state park. Using a computer program,
the researchers selected 100 random points in the state park and assessed the trees closest to the selected
points. Of the 100 trees selected, 24 showed damage to their lower limbs. Which of the following describes the
sample in this setting?
all white pine trees in the world
the 24 trees that showed damage
the 100 trees checked for damage
all white pine trees in the state park

Answers

Anyways,

the sample is the 100 trees checked. Thats cause they checked all 100 and found 24 had damage. Which means they sampled 100 trees out of the whatever amount in the forest.

================

[SEPARATE QUESTION]

Separate question since people are confused about it in the previous answers comments "Which of the following statements best describes the bias that may arise from the results?":

I can confirm A is wrong. C just, feels wrong completely.

So that leaves us with B or D.

I think it's D: Trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage of the trees.

I have not finished yet but I am 95% sure D is correct.

The reason why I don't believe it's B is because they want to resample near the same road, which can still result to biased results.

================

ED2021

Among all the given descriptions, the one that is describing the sample in the given setting is: “all white pine trees in the state park.” Hence, Option D is correct.

What is the meaning of the term “sample”?

A sample is merely a subset of the population. Consider a scenario in which one wished to determine the average income for all Americans in the population. In terms of research, a sample is a collection of individuals, things, or things that are taken for measurement from a wider population.

To ensure that the findings from the research sample can be applied to the population as a whole, the sample should be representative of the population. 100 trees that were examined are the sample.

That's because they examined all 100 and discovered that 24 had damage, which means that they took 100 samples from the total number of trees in the forest.

The findings may exaggerate the total extent of the damage to the trees since trees close to the road may have sustained more damage than those farther away from it.

Therefore, Option D is correct.

Learn more about sample from here:

https://brainly.com/question/13287171

#SPJ2

helpp me thx show work

Answers

Answer:

x= 25°

Step-by-step explanation:

3x-10 = 25 + x + 15 (ext ∠ of triangle equals to the sum of interior opposite ∠'s)

3x - x = 40 +10

2x= 50

x= 50/2

x= 25°

5) A theatre can be rented for different hours. The cost is $100 for deposit and $200 per hour. Write a function rule to find the total cost of renting the theatre for 'n' hours. Find the total cost if you rented the theatre for 4 hours. IT : hours (h)

Answers

Answer:

Step-by-step explanation:

Since the cost is $100 for deposit and $200 per hour, the function rule to find the total cost of renting the theatre for 'n' hours will be:

= 100 + 200(n)

= 100 + 200n

The total cost if you rented the theatre for 4 hours will be gotten by replacing n with 4. This will be:

= 100 + 200n

= 100 + 200(4)

= 100 + 800

= $900

a triangular sail on a sailboat measures 8 yards on one side and 10 yards on a second side, what could be the length on the third side?

Answers

Answer:

8 yards

Step-by-step explanation:

/\

/ \

/ \

----------

/ and \ = 8

_ = 10

A total of 50,000 contestants are chosen for a survey. A
computer randomly eliminates 20% of the participants
each day.

Answers

I am pretty sure it is linear decrease,

Which of the following transforms this non-statistical question into a statistical question? How much food does your dog eat?

Answers

Answer:

A) Not statistical /this question is answered by counting the number of days in March. This produces a single number. This number is not answered by collecting data that vary.

B) Not Statistical/ this question is answered by a single number. It is not answered by collecting data that vary.

C) Statistical/ this question would be answered by all collecting data, and there would be variability in that data.

D) statistical/ this question would be answered by collecting data, and there would be variability in that data

E) Not Statistical/ this question is answered by a single response. It is not answered by collecting data that vary.

F) not statistical/ this question would be answered by counting the bricks. This produces a single number. This question is not answered by collecting data that very

G) non-statistical/ there is only one temperature

Answer:I think it’s possibly A it’s what I got on my test and got it right.

Evaluate the expression 12t+38 when t=14.

Answers

Answer:

206

Step-by-step explanation:

12t+38

50

12x14=168

168+38=206

Watch help video
What is the equation of the line that passes through the point (-4,-2) and has a
slope of - 1/2

Answers

(-4 , 2 ) so x1 = -4 and y1 = 2. The slope is still 1/2 so m = 1/2. y = 1/2 x +4 final answer

1/4 of 7 and 1/3 of 7

Answers

Answer:

1/4 of 17 =4.25 in decimal form

1/3 of 7 = 2.3333 in decimal form

Step-by-step explanation:

I hope I helped

Can someone help me with this please.

Answers

it’s x is greater than or equal to two. the > with a line under it.

The perimeter of a rectangle is 120cm. The ratio of the length to the with is 3 to 2. What is the length of the longer side of the rectangle?

Answers

The longer side is 36 and the shorter side is 24

Calculate all of this please and you will get the brainlist

Answers

Answer:

4. 118 kg

w = 450 j ,  d = 3.8 m

w = mgh ⇒mg = w / h ⇒m = 450/3.8 = 118 kg

5. 9806.65 Joules

6. 25 J

??? Help me with my work pls

Answers

Answer:

2. 10 + 5 x 2                    $20

3. 10 + 5 x 3                    $25

4. 10 + 5 x 4                    $30

Hope that helps!

Step-by-step explanation:

Answer:

2) 10+5x2= 20

3) 10+5x3= 25

4) 10+5x4= 30

Step-by-step explanation:

just add 5 every time

The exterior angles of a quadrilateral have measures of 80°, 65, 2x", and 3x . Find the value of x.

Answers

Answer:

80°+65°+2x+3x=360°(sum of quadrilateral is 360)

145°+5x=360°

5x=360°-145°

5X=215°

X=215°/5°

X=43°

The required value is [tex]x=43[/tex]

Given angles are,

[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]

As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].

Then we have the relation,

[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]

So, the value of the x is 43.

Find out more information about the topic:https://brainly.com/question/8565742

Right answer gets brainlist

Answers

Answer:

(-7-2)....................hope this helps

Which expression represents the product of 4 and the difference of 17 and 9 which one is correct 4+(17+9) or 4+(17-9) or 4 times (17+9) 4 times ( 17-9)

Answers

Answer:

the answer is 4 × (17 - 9)

difference = 17 - 9

product 4 times

Jodi's best score on a video game is 50 points. Mark's best score on the game is 1.5 times as much as Jodi's best score. How many points did Mark score on the video game? Mark's best score on the game is points. Virginia's best score is only 0.3 times Jodi's best score. How many points did Virginia score on the game? Virginia's best score is points.

Answers

Answer:

a) Mark's best score on the game is 75 points.

b) Virginia's best score is 15 points.

Step-by-step explanation:

Jodi's best score on a video game is 50 points.

a) Mark's best score on the game is 1.5 times as much as Jodi's best score. How many points did Mark score on the video game?

Mark's best score on the game is calculated as:

1.5 times as much as Jodi.

Jodi's best score = 50 points

= 1.5 × 50 points

= 75 points

b) Virginia's best score is only 0.3 times Jodi's best score. How many points did Virginia score on the game? Virginia's best score is points.

Virginia's best score on the game is calculated as:

0.3 times as much as Jodi.

Jodi's best score = 50 points

= 0.3 × 50 points

= 15 points

Virginia's best score is 15 points.

Help right answer get brainliest

Answers

Answer:

all i know is 6 is 72/30 because I'm busy right now sorry that I don't have the simplest form of answer

Answer:

6. 2 2/5

7. 66/145

8. 1 1/5

Step-by-step explanation:

Suppose a robot is at the corner of a rectangular arena and needs to reach the diagonally opposite corner. If the length of the arena is 105 meters, and the width is 68 meters, find the distance that the robot needs to travel. Round your answer to the nearest whole meter.

Answers

Answer:

Frx8txutxitxigxtix7fv7t8citcti

Help, please :) Giving 16 points and PLEASE BE CORRECT! This is a test so I don't want to get it wrong. Thank you so much!

Answers

Answer:

y=x+4

Step-by-step explanation:

...

Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2

Answers

Given:

[tex]a_1=-4[/tex] and [tex]a_n=a_{n-1}+9[/tex] where [tex]n\geq 2[/tex].

To find:

The explicit formula for the given recursive formula.

Solution:

We know that recursive formula of an AP is:

[tex]a_n=a_{n-1}+d[/tex]

Where, d is the common difference.

We have,

[tex]a_n=a_{n-1}+9[/tex]

Here, d=9.

The first term of the AP is [tex]a_1=-4[/tex].

The explicit formula for an AP is:

[tex]a_n=a_1+(n-1)d[/tex]

Substituting [tex]a_1=-4[/tex] and [tex]d=9[/tex], we get

[tex]a_n=-4+(n-1)9[/tex]

[tex]a_n=-4+9n-9[/tex]

[tex]a_n=-13+9n[/tex]

Therefore, the required explicit formula for the given sequence is [tex]a_n=-13+9n[/tex].

If Kate is 14, what was her age x years ago?

Answers

You didn’t input the whole question. There is no way to solve this as it is

The radius of each semicircle in the composite figure is x units. The width of the rectangular part of the figure is equal to the radius.

Which expression represents the distance around the composite figure

A. 6x+2πx
B. 6x +4πx
C. 10x +2πx
D. 10x +4πx​

Answers

Answer:

10x + 2pix

Step-by-step explanation:

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