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9514 1404 393

Answer:

  ∆BCR ≅ ∆BAR

  x = 6

Step-by-step explanation:

For congruence, define point R where the altitude line meets segment AC.

The diagram shows you AR ≅ RC. You know BR ≅ BR by the reflexive property, and you know that ∠BRC ≅ ∠BRA = 90°. You can therefore claim ...

  ∆BCR ≅ ∆BAR . . . . by the SAS congruence postulate

__

To solve for x, you don't need to show congruence of the right triangles. You only need to realize that the markings on segment AC show the left half is the same length (x) as the right half. The Pythagorean theorem is used to find x.

  x² +8² = 10²

  x² = 100 -64 = 36

  x = √36 = 6

The length of x is 6 units.

_____

As you can see here, an altitude that is a median divides the isosceles triangle into two congruent right triangles. (That altitude also bisects angle B.)

You may recognize that the side ratios in the right triangle are 8:10 = 4:5. The missing side completes the Pythagorean triple 3:4:5, so is 2·3 = 6 = x.

Answer:

the critical value for 0.87 level of confidence is 1.51

Step-by-step explanation:

Given the data in the question;

level of confidence = 0.87

now,

1 - c = 0.87

c = 1 - 0.87

c = 0.13

c/2 = 0.13/2 = 0.065

now

1 - c/2  = 1 - 0.065 = 0.935

so our level of significance ∝ = 0.935

Now, the critical value will be;

[tex]Z_{0.935[/tex] is obtained as follows;

P( Z < z ) = 0.935

so we find the value from ( standard normal distribution table )

P( Z < 1.51 ) = 0.935

Therefore, the critical value for 0.87 level of confidence is 1.51

Answer:

2x-y=6

Step-by-step explanation:

y-10=2(x-8)

y-10=2x-16

-10+16=2x-y

6=2x-y or  

standard form 2x-y=6

Answer:

7.7 and 7.3 are the parameters

8.3 and 5.7 are statistics

Step-by-step explanation:

In the given question,

7.7 and 7.3 represents the mean and standard deviation for all of the used cars for sale.

So,

It represents the population mean and standard deviation

So,

7.7 and 7.3 are the parameters .

Now,

8.3 and 5.7 is mean and standard deviation for sample , not for population.

∴ 8.3 and 5.7 are statistics.

Answer :- 20/2.5 = 8

......

The total number of curtains that can be made is 8 if each curtain requires 2 and 1/2 meters

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

20 meters of cloth if each curtain requires 2 and 1/2 meters.

The total length of the cloth = 20 meters

Each curtain requires 2 and 1/2 meters

= 2 + 0.5

= 2.5 meters

Total number of curtains = 20/2.5

Total number of curtains = 8

Thus, the total number of curtains that can be made is 8 if each curtain requires 2 and 1/2 meters

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

..........................

Answer:

y<−2

Step-by-step explanation:

−6y−2>10

Add 2 to both sides.

−6y>10+2

Add 10 and 2 to get 12.

−6y>12

Divide both sides by −6. Since −6 is negative, the inequality direction is changed.

y<12/-6

Divide 12 by −6 to get −2.

y<−2

Answer:

Step-by-step explanation:

C

Answer:2885

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

12/20

(divide both by 2)

12/2= 6

20/2=10

6/10

(divide by both by 2)

6/2= 3

10/2= 5

3/5

Answer:

Hey!

Step-by-step explanation:

Hope this helps you!

Best of luck! <3

Answer:

C

Step-by-step explanation:

The diagonal can be represented as the hypotenuse of a right triangle with 3 and 3 as its legs. Use the pythagorean theorem to get that 3^2+3^2=c^2. Simplify to 9+9=c^2 or 18=c^2. Square root both sides to get c=√18. Simplify to get c=√9*2 or c=3√2 for the diagonal.

The length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units

The length of the diagonal of a square is calculated using the following Pythagoras theorem

[tex]d^2 = l^2 + l^2[/tex]

Where:

So, we have:

[tex]d^2 = 3^2 + 3^2[/tex]

Evaluate the like terms

[tex]d^2 = 2(3^2)[/tex]

Take the square roots of both sides

[tex]d =3\sqrt2[/tex]

Hence, the length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units

Read more about diagonals at:

https://brainly.com/question/654982

15%

350x0.15=52.5

350-52.5=297.5

Answer:

what i got was

y-1=2x-8¬y=2x-7

Answer:

Mean 4.9 letters and standard deviation 1.5 letters

Step-by-step explanation:

Answer:

L = 3 cm

Step-by-step explanation:

let lenght be L

First convert area in cm

1 m = 100 cm

12 m = 1200 cm

Area of rectangle =   width x lenght

1200 cm = 400 cm x L

1200 /400 = L

3 cm = L

Answer:

E because if she needs 1/4 more than what she already has then you have to multiply 1/4 of the wood she already has and add the wood that she already has

Answer: 3/5

Step-by-step explanation:6/10 6 divide by 2 and 10 divide by 2

hoped this helped:)

Answer:

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

[tex] \frac{6}{10} \div \frac{2}{2} [/tex]=

[tex] \frac{3}{5} [/tex] ....

Answer:

w=5/2 or W=2 1/2 if decemial 2.5

Step-by-step explanation:

Answer:

here ya go :)

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The triangle is a right triangle, so the length of r can be found using the Pythagorean theorem.

  r = √(14.2² +7.15²) = √252.7625

  r ≈ 15.8985 ≈ 15.90 . . . meters

__

The angles can be found from the tangent relation.

  Tan = Opposite/Adjacent

  tan(P) = 14.2/7.15

  P = arctan(14.2/7.15) ≈ 63.2738° ≈ 63.27°

Angle Q is the complement of angle P.

  Q = 90° -63.27° = 26.73°

9514 1404 393

Answer:

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

In the same order, the given side lengths are ...

  y : 9√3 : x

Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:

  9(1) : 9√3 : 9(2) = y : 9√3 : x

Then y = 9·1 = 9, and x = 9·2 = 18.

The missing side lengths are x = 18, y = 9.

Answer:

where is the scale

Step-by-step explanation:

where is the scale

Answer:

What does the scale look like?

Answer:  

​AB¯¯¯¯¯​ is reflected across the y- axis to form A′B′¯¯¯¯¯¯¯​ .