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
timofeeve [1]
3 years ago
11

Suppose BK is an angle bisector of △ABC. Find AB if BC=5, and AK=2.625, and KC=4.375.

Mathematics
2 answers:
12345 [234]3 years ago
5 0

Answer:

AB=3

Step-by-step explanation:

Given: AB=x, BC=5 AK=2.625, and KC=4.375

AB/BC=AK/KC

Because AK is similar to KC, and BA is similar to BC.

Triangle ABK and Triangle CBK are similar since they have an angle bisector.

so :

x/5=2.625/4.375

4.275x=2.625(5)

4.275x=13.125

x=13.125/4.275

x=3

AB=3


Zinaida [17]3 years ago
3 0

Answer:

AB = 3

Step-by-step explanation:

given that BK is an angle bisector then the following ratios are equal

\frac{AB}{BC} = \frac{AK}{KC}

substitute relevant values into the equation and solve for AB

\frac{AB}{5} = \frac{2.625}{4.375} ( cross- multiply )

4.375AB = 13.125 ( divide both sides by 4.375 )

AB = 3


You might be interested in
A poll of 793 adults aged 18 or older asked about purchases that they intended to make for the upcoming holiday season. One of t
Ira Lisetskai [31]

Answer:

(0.5793, 0.6363)

Step-by-step explanation:

Given that a  poll of 793 adults aged 18 or older asked about purchases that they intended to make for the upcoming holiday season. One of the questions asked about what kind of gift they intended to buy for the person on whom they would spend the most. Clothing was the first choice of 482 people.

i.e. sample proportion p= \frac{482}{793} =0.608

q=1-p = 0.392

Std error of p = \sqrt{pq/n} =0.0173

For 90% Z crtiical = 1.645

Hence margin of error = 1.645 * std error = 0.0285

Confidence interval 90%

= proportion ±margin of error

=(0.5793, 0.6363)

3 0
3 years ago
The amount of $180.00 is what percent greater than $135.00
olga nikolaevna [1]
Percent change = ((new value) - (old value))/(old value) × 100%
  = (180 -135)/135 × 100%
  = 33 1/3%

180 is about 33% greater than 135.
8 0
3 years ago
How do I find the triangles similarity and each length
Kamila [148]
Angle g would be congruent/equal to itself because of verticals angles theorem. i hope that helped a bit
7 0
3 years ago
Im struggling with this​
xeze [42]

Answer:

i cant read it sorry

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How do you divide (n^2-n-29)/(n-6) ??
Orlov [11]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Polynomial long division is done the way any long division is done. Find a "partial quotient", subtract from the dividend the product of that partial quotient and the divisor. The result is a new dividend. Repeat until the degree of the dividend is less than that of the divisor.

__

In the attached, the "Hints" show you how the partial quotient is found, and they show you how the product of the partial quotient and divisor is found.

The partial quotient term is simply the ratio of the highest degree terms of dividend and divisor. (Unlike numerical long division, there is no guessing.)

__

The remainder is the dividend of lower degree than the divisor. As in numerical long division, the full quotient expresses the remainder over the divisor.

For example, 5 ÷ 3 = 1 r 2 = 1 + 2/3.

Your full quotient is (n+5) +1/(n-6).

5 0
2 years ago
Other questions:
  • What is the solution to –4(8 – 3x) ≥ 6x – 8?<br><br> x ≥ –4/3<br> x ≤ –4/3<br> x ≥ 4<br> x ≤ 4
    14·1 answer
  • PLZ HELP! Need this FAST! Plz SHOW YOUR WORK! Thx so much!
    12·2 answers
  • Solve the given initial-value problem. (x + y)^2 dx + (2xy + x^2 - 8) dy = 0, y(1) = 1
    6·1 answer
  • Find the value of x.
    10·1 answer
  • Super pressure <br> I need help
    11·1 answer
  • Your dinner check was $50. If you give the waiter a 20% tip, how much did you<br> spend in all? *
    9·2 answers
  • Solve the following quadratic equation:<br><br> y=5x2+10x<br> Solutions: x= and x=
    15·1 answer
  • Received notice from the bank of a dishonored check from Jackson Group, $535.00, plus $25.00 fee;
    10·1 answer
  • 5x²—3x—2=0 by completing the square method ​
    15·1 answer
  • All real numbers less than or equal to -5.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!