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
Mrs Rivas bought a can of paint he used 3/8 of paint and 1/4 he also used some for a birdhouse and had 1/8 of paint left how muc
Degger [83]

Answer:

The amount of paint used in the  birdhouse = (1/4) of paint

Step-by-step explanation:

The amount of paint used in first go = 3/8

The amount of pain used in second go = 1/4

The amount of paint used in bird house = k

The amount paint left = 1/8

Now, according to the question:

Paint used in ( First go + second go + Birdhouse) + Paint left = 1 can Paint

⇒\frac{3}{8}  + \frac{1}{4} + k + \frac{1}{8}    = 1\\\implies \frac{3 + 1(2) + 1}{8} + k = 1\\ \frac{6}{8} + k = 1 \\\implies k = 1 - \frac{6}{8}  = \frac{8-6}{8}  = \frac{2}{8}  = \frac{1}{4} \\\implies k = \frac{1}{4}

or, The amount of paint used in the  birdhouse = (1/4)

5 0
3 years ago
Find the measure of the indicated angle to the nearest degree​
sweet-ann [11.9K]

Answer:

Im pretty sure its 45 degrees

Step-by-step explanation:

Its an isosceles triangle so the upper 2 angles are Equal and a triangles angles adds up to 180 degrees, so if we have a 90 degree angle (the square) there's only 90 degrees left, so if you divide the 90 degrees by the remaining 2 Equal angles you get 45.

5 0
3 years ago
A food company sells salmon to various customers. The mean weight of the salmon is 37 lb with a standard deviation of 2 lbs. The
brilliants [131]

Answer:

The standard deviation for the mean weigth of Salmon is 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount order stores.

Step-by-step explanation:

The mean sample of the sum of n random variables is

\overline{X} = \frac{X_1+X_2+...+X_n}{n}

If X_1, ..., X_n are indentically distributed and independent, like in the situation of the problem, then the variance of X_1 + .... + X_n will be the sum of the variances, in other words, it will be n times the variance of X_1 .

However if we multiply this mean by 1/n (in other words, divide by n), then we have to divide the variance by 1/n², thus \overkine{X} = \frac{V(X_1)}{n} and as a result, the standard deviation of \overline{X} is the standard deviation of X_1 divided by \sqrt{n} .

Since the standard deviation of the weigth of a Salmon is 2 lbs, then the standard deviations for the mean weigth will be:

  • Restaurants: We have boxes with 9 salmon each, so it will be \frac{2}{\sqrt{9}} = \frac{2}{3}
  • Grocery stores: Each carton has 49 salmon, thus the standard deviation is \frac{2}{\sqrt{49}} = \frac{2}{7}
  • Discount outlet stores: Each pallet has 64 salmon, as a result, the standard deviation is \frac{2}{\sqrt{64}} = \frac{1}{4}

We conclude that de standard deivation of the mean weigth of salmon of the types of shipment given is: 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount outlet stores.

7 0
3 years ago
Answer for brainliest<br> 25 X 1 =<br><br> ;)
Alchen [17]
The answer is 25. :))))

3 0
3 years ago
Please help with this question thank you very much.
DochEvi [55]

Answer:

ln 3

Step-by-step explanation:

3 ln 3 - ln 9

We can rewrite 9 as 3^2

3 ln 3 - ln 3^2

We know lnx^a = aln x

3 ln 3 - 2 ln 3

ln 3

6 0
3 years ago
Other questions:
  • Find the measure of the missing angle
    6·2 answers
  • Convert 77/200 into a decimal
    10·1 answer
  • A painter leans a 12-foot ladder against a house. The base of the ladder is
    15·1 answer
  • a math club has 40 members. The number of girls is 5 less the number of boy. what are the two equations solve
    15·1 answer
  • Jose's school spent $1284 on 9 sticksof memory and a new hard drive. The hard drive cost $168. Which is the reasonable estimate
    11·2 answers
  • Ken needs to catch the bus by 8:45 a.m. It takes him 20 minutes to shower, 10 minutes to dress and 15 minutes to eat breakfast.
    8·1 answer
  • What is c ? <br><br> enter the answer in the box
    10·1 answer
  • PLEASE HELP ME!!! ILL GIVE BRAINLIEST!!!
    14·2 answers
  • What number is between 0-5
    8·2 answers
  • Isaac orders dried fruit from an online health food store. He pays a price per pound for the fruit, and a flat shipping fee. Thi
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!