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
Annette [7]
3 years ago
9

Find the missing information. PLEASE HELP ITS A QUIZ DUE SOON

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
7 0

Answer:

x = 13

∠F = 28°

∠S = 28°

y = 9

DE = 38 ft

Step-by-step explanation:

We are told that △DEF = △QRS

Looking at both triangles and by comparison, it is clear that;

∠R = ∠E = 123°

∠Q = ∠D = 29°

∠S = ∠F = 180 - (123 + 29) = 28°

Also,QR = DE

Thus; 5y - 7 = 38

5y = 38 + 7

5y = 45

y = 45/5

y = 9

Thus,y = 9 and DE = 38 ft

We see in the image that ∠S = (2x + 2)°

From earlier we deduced that ∠S = 28°

Thus; 2x + 2 = 28

2x = 28 - 2

2x = 26

x = 26/2

x = 13

You might be interested in
A sports club has 84 members who learned baseball, and 42 of those members also learned basketball. There are 25 students who di
HACTEHA [7]

<em>The table that shows the relative frequency of data is in the below further explanation.</em>

\texttt{ }

<h3>Further explanation</h3>

A set is a clearly defined collection of objects.

To declare a set can be done in various ways such as:

  • With words or the nature of membership
  • With set notation
  • By registering its members
  • With Venn diagrams

\texttt{ }

Multiplying set A x B is by pairing each member of set A with each member of set B.

<u>Example:</u>

<em>A = {1, 2, 3}</em>

<em>B = {a, b}</em>

Then

A x B = {(1, a), (1, b), (2, a), (2, b), (3, a), (3, b)}

\texttt{ }

Union of set A and B ( A ∪ B ) is rewriting each member A and combined with each member B.

Intersection of set A and B ( A ∩ B ) is to find the members that are both in Set A and Set B.

<u>Example:</u>

<em>A = {1, 2, 3, 4}</em>

<em>B = {3, 4, 5}</em>

A ∪ B = {1, 2, 3, 4, 5}

A ∩ B = {3, 4}

Let us now tackle the problem!

\texttt{ }

<em>A sports club has 84 members who learned baseball, and 42 of those members also learned basketball.</em>

\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&\boxed{42}& \\Don't Play Basketball& & \end{array}\right]

\texttt{ }

Number of members who learned baseball but did not learn basketball will be ( 84 - 42 ) = 42 members

\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&42& \\Don't Play Basketball&\boxed{42}& \end{array}\right]

\texttt{ }

<em>There are 25 students who did not learn baseball but learned basketball</em>

\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&42&\boxed{25} \\Don't Play Basketball&42& \end{array}\right]

\texttt{ }

<em>8 students did not learn either baseball or basketball</em>

\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&42&25 \\Don't Play Basketball&42&\boxed{8} \end{array}\right]

\texttt{ }

<em>Total Number of Students = 42 + 42 + 25 + 8 = 117</em>

\texttt{ }

Table of relative frequency

\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&\boxed{\frac{42}{117}}&\boxed{\frac{25}{117}} \\Don't Play Basketball&\boxed{\frac{42}{117}}&\boxed{\frac{8}{117}} \end{array}\right]

\texttt{ }

<h3>Learn more</h3>
  • Mean , Median and Mode : brainly.com/question/2689808
  • Centers and Variability : brainly.com/question/3792854
  • Subsets of Set : brainly.com/question/2000547

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Sets

Keywords: Sets , Venn , Diagram , Intersection , Union , Mean , Median , Mode

8 0
3 years ago
Read 2 more answers
You start a lawn mowing service. You pay $75 for the lawn mower and plan on charging $25 per lawn. Write an equation to relate y
Anarel [89]

Answer:

y = 25x - 75

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is (24x-35q) (56q+78x)<br>​
Korolek [52]

Answer:

=  1872x^2 - 1960q^2 - 1386xq

Step-by-step explanation:

First you should distribute.

(24x * 56q), (24x * 78x), (-35q * 56q), (-35q * 78x)

=1344xq + 1872x^2 - 1960q^2 - 2730xq

Now you combine like terms.

=  1872x^2 - 1960q^2 - 1386xq

**NOTE that (^2) means "squared"

Since there are no more like terms that is your final answer. I hope this helps love! :)

6 0
3 years ago
What is the y value of the line when x = -1
sveticcg [70]
I cannot answer that question because I need to equation
6 0
3 years ago
15 arches decreased by 80%
morpeh [17]

If it decreases by 80٪, then only 20٪ remains.

15×20٪=15×20/100=15×0.2=3

Answer: 3

8 0
3 years ago
Read 2 more answers
Other questions:
  • Express your answer as a polynomial in standard form.
    7·2 answers
  • How to write one hundred million ,two hundred forty three thousand in numbers
    11·2 answers
  • What is the value of x ?​
    12·2 answers
  • Uhhhh help please?????
    14·1 answer
  • Please help! Make sure to simplify
    13·2 answers
  • In math the "Base" is defined as
    14·1 answer
  • Please help me with this homework
    14·2 answers
  • A square patio has a side length of (x − 8) feet. It is surrounded by a flower garden with a uniform width. The side length of t
    13·1 answer
  • Find the value of k if the line y = kx + 2 goes through the point<br><br> A (-2, 4)
    6·1 answer
  • Which inequality represents the sentence?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!