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
Crank
1 year ago
6

HELP HELP HELP HELP HELP HELP HELP HELP HELP

Mathematics
1 answer:
lubasha [3.4K]1 year ago
5 0

{\qquad\qquad\huge\underline{{\sf Answer}}}

As per the given information ~

The given triangles are similar, so their corresponding sides should be in same ratio :

\qquad \sf  \dashrightarrow \:  \dfrac{2x}{4}  =  \cfrac{5}{x - 3}

\qquad \sf  \dashrightarrow \:  \dfrac{x}{2}  =  \cfrac{5}{x - 3}

\qquad \sf  \dashrightarrow \: x(x - 3) = 10

\qquad \sf  \dashrightarrow \:  {x}^{2} - 3x = 10

\qquad \sf  \dashrightarrow \:  {x}^{2} - 3x  -  10  = 0

\qquad \sf  \dashrightarrow \:  {x}^{2} - 5x  + 2x -  10  = 0

\qquad \sf  \dashrightarrow \: x(x - 5) + 2(x - 5) = 0

\qquad \sf  \dashrightarrow \: (x + 2)(x - 5) = 0

so, x = 5 or -2

but since side length can't be negative, we will take x = 5 neglecting the negative value (-2)

So, side lengths of unknown sides are :

\qquad \sf  \dashrightarrow \: {2x = 2 × 5 = 10 units}

and

\qquad \sf  \dashrightarrow \: x - 3 = 5 - 3 = 2 \:  \: units

You might be interested in
The circumference of a circle is 9π m. What is the area of the circle? ASAP!
liubo4ka [24]

Answer:

20.25 m²

Step-by-step explanation:

the area (A) and circumference (C) of a circle are calculated using the formulae

C = 2πr and A = πr² ( where r is the radius )

calculate the radius using the formula for circumference

2πr = 9π ( divide both sides by 2π )

r = \frac{9\pi }{2\pi } = \frac{9}{2} = 4.5, hence

A = π × 4.5² = 20.25π m²


4 0
3 years ago
Please help me find the measure of the arc or angle indicated. (Angles on circles)
nata0808 [166]

Answer: 9. 54; 10. 220; 11. 71; 12. 262

Step-by-step explanation: Chord and tangent intersection angle is half the arc measure or circle, and inscribed angles are also half the included arc measure

5 0
3 years ago
The matrix below represents a system of equations
harkovskaia [24]
Dependent its on apex.
5 0
2 years ago
Read 2 more answers
Bryson hopes to win a three-day vacation in a drawing that is being held at his office. He purchased 40 raffle tickets. There we
Savatey [412]
The correct answer would be A, 2/25. 
9 0
3 years ago
2/3 is greater than, less than it equal to 5/8
Allushta [10]

Answer:

greater than it

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • You were charged interest of $6.31 for purchases (near section 8) why?
    12·2 answers
  • (EASY)(BRAINLIEST)Which of the four angles marked on the picnic table is obtuse?
    10·2 answers
  • . 1−|3p+1|=−3! Thank you
    15·1 answer
  • I need help ASAP , so what’s the answer
    12·1 answer
  • Where would I split this I will give brainliest
    9·1 answer
  • Derek is writing a report on cell phone usage. He collects data from a random sample of seventh graders in his school, and finds
    11·1 answer
  • The cross-sectional areas of a right pyramid and a right cylinder are congruent. The pyramid has a height of five units, and a r
    9·1 answer
  • What are the lengths of line segments AB and BC?
    12·2 answers
  • If the radius of the circle is 3 cm, what is the measure of the longest chord?
    11·2 answers
  • The tree diagram shows Leila's choices for dinner at a restaurant. How many possible dinner combinations exist?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!