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
bonufazy [111]
3 years ago
10

100 points! Look at the picture attached. Random answers and links will be reported

Mathematics
1 answer:
____ [38]3 years ago
7 0

Answer and Step-by-step explanation:

4. We are finding line AC.

AB is congruent to BC because the angles at the top are both 30 because of angle bisector. BD is congruent to BD, so triangles are congruent by SAS theorem. That means AB is congruent to BC by CPCTC (Congruent Parts of Congruent Triangles are Congruent).

With that being said, we can equal the expressions together.

-x + 25 = 3(2x - 8)

-x + 25 = 6x - 24

49 = 7x

7 = x

-(7) + 25 = 18

3(2(7) - 8) = 3(14 - 8) = 3(6) = 18

18 + 18 = 36

<u>AC = 36</u>

6. We are finding measure of angle UTW.

We have another angle bisector, so that side is equal to itself (TV ≅ TV)

We have UV and VW having the same length, so those are congruent.

Since this is a right triangle, these triangles are congruent by the HL (Hypotenuse-Leg) Theorem.

So, now we can equal the angles together.

2x + 3 = 5x - 24

27 = 3x

9 = x

2(9) + 3 = 18 + 3 = 21

5(9) - 24 = 45 - 24 = 21

21 + 21 = 42

<u>m∠UTW = 42</u>

<u></u>

<u></u>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

<em><u></u></em>

<em><u>(Sorry for the late response, this took some time).</u></em>

You might be interested in
in a given classroom the number of girls is 10 greater than number of boys if the ratio of the number of girls to the number of
Xelga [282]

Answer:

a) 35,  b) 25,  c) 60

Step-by-step explanation:

The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.

Number of boys:  b

Number of girls:  b + 10

Ratio of girls:boys is 7:5, so

\frac{b+10}{b}=\frac{7}{5}

"Cross multiply" to get

7b=5(b+10)\\7b=5b+50\\2b=50\\b=25

There are 25 boys.  There are 10 more girls, so the number of girls is 35, and the total number of students is 60.

That's a packed classroom!

8 0
3 years ago
Reflect the triangle =(-1,-2), 4(1,1), V(4,- 3) across the line y = x
alekssr [168]

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

(- 1, - 2 ) → (- 2, - 1 )

(1, 1 ) → (1, 1 )

(4, - 3 ) → (- 3, 4 )

5 0
3 years ago
The variables A, B, and C represent polynomials where A=x^2, B=3x+2, and C=x-3. What is AB-C^2 in simplest form?
yuradex [85]

Answer:

AB-C^2 = 3x^3 + x^2 + 9

Step-by-step explanation:

Hi

AB = (x^2)*(3x+2)= 3x^3 + 2x^2

C^2= (x-3)^2 = x^2 - 9

So

AB-C^2 = 3x^3 + 2x^2 - x^2 + 9 = 3x^3 + x^2 + 9

7 0
3 years ago
Read 2 more answers
Simplify the expressions by combining like terms<br><br> 1.5r - 3r + 8r + 2.5r
Tomtit [17]

Answer:

9r

Step-by-step explanation:

1.5r - 3r + 10.5r

10.5r + 1.5r = 12r

12r - 3r = 9r

Final Answer = 9r

5 0
3 years ago
Help please !! It’s geometry credit recovery
mr Goodwill [35]
Cross multiply? 9x2=18/3= 6

5 0
3 years ago
Other questions:
  • A. What is the approximate perimeter of the concrete region?
    9·1 answer
  • 4+ (b+0) + =<br><br><br><br> i need help guys
    11·1 answer
  • Choose the problem with the same relationship that is modeled by the graph
    8·1 answer
  • Write the expression as a square of a binomial: <br><br> 9/25a^6b^2-a^4b^4+25/36a^2b^6
    6·2 answers
  • The following represents age distribution of students in an elementary class. Find the mode of the values: 7, 9, 10, 13,
    8·1 answer
  • Find x. Round to the nearest degree.
    6·1 answer
  • Omar has a new credit card. He earned 300 reward points for every 100 dollars he spends. If Omar earned 1800 reward points, how
    12·1 answer
  • Construct the indicated confidence interval for the population mean using the​ t-distribution. Assume the population is normally
    14·1 answer
  • If f(x) = -x-2, what is f¹(x)?
    15·1 answer
  • Maggie and her friends are each able to recruit a certain number of people each year to sample a product. The number of people p
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!