1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DochEvi [55]
3 years ago
9

The polygons below are similar. Find the value of z.

Mathematics
2 answers:
Solnce55 [7]3 years ago
4 0
The value of z is 8.

The two polygons are similar. Every length value for the polygon on the right is 2 units smaller than on the left. So, FG is 6, whereas BC is 8. Z is 8, whereas on the left is was 10. etc.
Nana76 [90]3 years ago
3 0

Answer:

z=\frac{15}{2}=7.5

Step-by-step explanation:

If the two polygons are similar it means their corresponding angles are congruent and the measures of their corresponding sides are proportional.

If the sides are proportional we can construct a relationship between them like this:

\frac{AB}{EF}=\frac{AD}{EH}=\frac{BC}{FG}=\frac{DC}{HG}

Using this relationships we can solve for z, more especifically if we use:

\frac{BC}{FG}=\frac{DC}{HG}

where:

BC=8\\FG=6\\DC=10\\HG=z

we replace the values:

\frac{8}{6}=\frac{10}{z}

we solve for z

z=\frac{10*6}{8}\\z=\frac{15}{2}\\ z=7.5

You might be interested in
A bag of marbles had 14 blue marbles and the rest were white. For a game, 16 marbles were chosen from the bag. Of these 16 marbl
Musya8 [376]

Answer:

dfghjjjjjjjjjhhgg

Step-by-step explanation:

6 0
3 years ago
The gradient of the line segment between the points (2,-3) and (4,-7).
skad [1K]

To find the gradient of a line you use this equation: Rise / Run

I am assuming this is a graph where both the x and y-axis increase in value by one.

So first of all, you should draw out this graph.

Second, draw a point at each of the given coordinates.

Now, join these points by drawing a right angle triangle. Put simply, draw a line from the point (4, -7) down until it is on the same level as the point (2, -3), then draw a line across.

Finally, measure the length of both these sides and use them in the equation above.

Let's assume the rise (vertical line) and the run (horizontal line) are 5 and 8 respectively. We can do 5/8 to get a gradient which is 0.625.

3 0
2 years ago
Read 2 more answers
According to the WHO report, girls who are 2-years old have a mean head circumference of 47.18cm with a standard deviation of 1.
Verdich [7]

Answer:

1. z = -1.91429

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. 2.7792%

Step-by-step explanation:

1. Relative to the WHO data, what is this girls z-score?

z score formula is:

z = (x-μ)/σ, where

x is the raw score = 44.5 cm

μ is the population mean = 47.18cm

σ is the population standard deviation = 1.40cm

z = 44.5 - 47.18/1.40

z = -1.91429

What does the z score tell us?

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

z score = -1.91429

Probability value from Z-Table:

P(z =-1.91429) = P(x<44.5) = 0.027792

Converting to percentage = 0.027792 × 100

= 2.7792%

6 0
2 years ago
the number of hours h that it takes for ice to malt varies inversely with the temperature t it takes 3hours for a piece of ice t
Reptile [31]

Answer:

Step-by-step explanation:

Formula

h = k/temp

Givens

h = 4 hours

t = 45 degrees

Solution

3 = k / 45                  Multiply both sides by 45

3*45 = k

k = 135

Problem

what happens when h = 4 hours?

h = 4

k = 135

temp = ?

4 = 135 / temp       Multiply both sides by temp

4temp = 135          Divide by 4

temp = 135 / 4

temp = 33.75

Note that as the time went up, the temperature came down

6 0
2 years ago
(k^2-6k^4)-(3k^4+k^2+2)
jeka57 [31]

Step-by-step explanation:

Vamos simplificar passo a passo.

k2-6k4-(3k4+k2+2)

Distribua o sinal negativo:

=k2-6k4+-1(3k4+k2+2)

=k2+-6k4+-1(3k4)+-1k2+(-1)(2)

=k2+-6k4+-3k4+-k2+-2

Combine os termos semelhantes:

=k2+-6k4+-3k4+-k2+-2

=(-6k4+-3k4)+(k2+-k2)+(-2)

=-9k4+-2

Responda:

=-9k4-2

7 0
3 years ago
Other questions:
  • Simply the problem.
    6·2 answers
  • please help !!! A sphere and a cylinder have the same radius and height. The volume of the cylinder is 48cm^3 .
    11·2 answers
  • A baseball player reaches first base 20% of the times he is at bat. Out of 60 times at bat, about how many times will the player
    7·2 answers
  • Need help with question 5. Anything is appreciated :))
    9·2 answers
  • Find the area of the shaded region. Round your answer to the nearest tenth. Put the units on the answer for full credit
    9·1 answer
  • Josh drew the rectangle below and then reflected it over C D to form Rectangle A'B'C'D'. He argues that the image of the rectang
    7·1 answer
  • Jessica bought 1/2 pound of roast beef and 5/6 pound of ham. Which pairs of fractions are equivalent to the amounts Jessica boug
    14·2 answers
  • I need help with this assignment
    12·1 answer
  • Say ok If u need points... if so look for my next guestion its goanna bee woth 100
    5·1 answer
  • NEED ANSWER ASAP<br>Which graph best represents the equation 3x + y = -5? A. B. C. D.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!