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Serggg [28]
3 years ago
8

Find the exact value of x

Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0

ΔABC and ΔCBD are similar. Therefore we have the proportion:

\dfrac{AB}{BC}=\dfrac{BC}{BD}\\\\AB=6;\ BC=x;\ BD=2

Substitute:

\dfrac{6}{x}=\dfrac{x}{2}    <em>cross multiply</em>

(x)(x)=(6)(2)\\\\x^2=12\to x=\sqrt{12}\\\\x=\sqrt{4\cdot3}\\\\x=\sqrt4\cdot\sqrt3\\\\\boxed{x=2\sqrt3}

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Plz help ill give you brainlist
anastassius [24]
Vertical angles are formed when two lines intersect, and two angles that are on opposite sides of both lines.

The angles on the west side and the east side form two vertically opposite angles (commonly called vertical angles, but much less descriptive).
It is because the west angle is to the left of both lines, and the east angle is to the right of both lines.

Vertically opposite angles (vertical angles) are congruent.  Therefore we can form the equation
110 = 5x
Divide both sides by 5 to get
110/5=22 = 5x/5 = x
or 
x=22 degrees.


6 0
3 years ago
what is the error? at 9am the temperature was -4 degress forienhieght by the noon the tempereture was -12 degress forienhight a
Cloud [144]

if it were getting warmer, the negative number would get closer to 0, not farther away.

For example, at 9am the temperature was -4 degrees and by noon it was -1 degrees. It has gotten 3 degrees warmer.

5 0
3 years ago
Guys help me please ,how to solve it? i need a solution
Ludmilka [50]

Answer:

well, x = 5

Step-by-step explanation:

here,

EB Is parallel to DC , so

Angle AEB = Angle ADE

( because they are corresponding angle pair )

Angle ABE = Angle ACD

( because they are corresponding angle pair )

triangle ADC Is similar to triangle AEB

(By AA similarity criteria )

hence AE / ED = AB / BC ( by CPCT )

so 24/10 = 12/x

=》 24/12= 10/x

=》 x = 5

okay i hope u got it

8 0
2 years ago
Show the solution to each system of linear inequalities by graphing.
Lyrx [107]
142628281991919182726(35262627282
7 0
3 years ago
Expand the number 1120 into its corresponding exponential form. 25 · 5 · 7 52 · 8 22 · 53 · 7 2 · 5 · 7
Eduardwww [97]

Answer:

(A) 2^{5} * 5 * 7

Step-by-step explanation:

Your question formatting made it very complicated to understand the possible answers.  Please use some notation or the equation editor next time.

So, the exponential form a way to write a number using multiplications and powers.

Let's examine the various options (if I read them correctly)

(A) 2^{5} * 5 * 7 - YES!

2^{5} is 32, so 32 * 5 * 7 = 160 * 7 = 1120

(B) 5² · 8  - NO

= 25 * 8 = 200

(C) 2² * 5³ * 7 - NO

= 4 * 125 * 7 =500 * 7 = 3500

(D) 2 · 5 · 7 - NO

= 10 * 7 = 70

5 0
3 years ago
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