Complete the congruence statement by naming the corresponding angle or side.
50 Points

Answer:

For Triangle 1

a. Hypothenus = 4

b. Adjacent = 2√3

For Triangle 2:

a. Hypothenus = 2√2

b. Adjacent = 2

Step-by-step explanation:

For Triangle 1

NOTE: We shall be using angle 30°.

a. Determination of the Hypothenus.

Opposite = 2

Angle (θ) = 30°

Hypothenus =?

Sine θ = Opposite /Hypothenus

Sine 30 = 2 / Hypo

0.5 = 2 / Hypo

Cross multiply

0.5 × Hypo = 2

Divide both side by 0.5

Hypo = 2 / 0.5

Hypothenus = 4

b. Determination of the Adjacent

NOTE: We shall be using angle 30°.

Opposite = 2

Angle (θ) = 30°

Adjacent =?

Tan θ = Opposite / Adjacent

Tan 30 = 2 / Adj

1 / √3 = 2 / Adj

Cross multiply

1 × Adj = 2 × √3

Adjacent = 2√3

For Triangle 2:

a. Determination of the Hypothenus.

Opposite = 2

Angle (θ) = 45°

Hypothenus =?

Sine θ = Opposite /Hypothenus

Sine 45 = 2 / Hypo

1 / √2 = 2 / Hypo

Cross multiply

1 × Hypo = 2 × √2

Hypothenus = 2√2

b. Determination of the Adjacent

Opposite = 2

Angle (θ) = 45°

Adjacent =?

Tan θ = Opposite / Adjacent

Tan 45 = 2 / Adj

1 = 2 / Adj

Cross multiply

1 × Adj = 2

Adjacent = 2

Answer:

b = 13

Step-by-step explanation:

5 + b = 18

-5.        -5.     -5 on both sides to get b by itself

b = 13

Answer:

16

Step-by-step explanation:

To find the greatest number of students that could be in each row, we need to find their greatest common factor. We can list out their prime factors first.

48: 2 × 2 × 2 × 2 × 3

64: 2 × 2 × 2 × 2 × 2 × 2

Here, their common prime factors are 2 × 2 × 2 × 2 which is 16. Thus, the greatest number of students that could be in each row is 16.

No. of rows in the girls = 48 ÷ 16

                                      = 3

No. of rows in the boys = 64 ÷ 16

                                       = 4

Answer:

Step-by-step explanation:

I believe for this question you need to find the HCF (or GCF you may say) of 48 and 64

HCF - Highest Common Factor

GCF - Greatest common Factor

First, prime factorize 48 and 64 (write them in the product of their prime numbers)

64 = 2 × 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

Choose common prime factors (all of them that are common)

on observation, there is 2 × 2 × 2 × 2 common between both of them

which is 16.

So 16 maximum people in each row

Also additional thing, it's fine if some questions were wrong, try and attempt it yourself first before asking it from someone. Getting used to ask someone is going to be troublesome in the long run. If you get stuck, then get help from your teachers (unless the teacher is unco-operative) in which case, seek help from your friends, or talk to your parents about it if you freely share stuff with them.

But anyway, hope that helps ^

Take off 3 of the pennies and the 5 that remain would be 3 nickels and 2 dimes

2 dimes=20 cents

3 nickels = 15 cents

3 pennies=3 cents

Or these 8 coins = 38 cents

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is  no sufficient evidence to conclude that the average is a different number for college students

Step-by-step explanation:

From the question we are told that

    The  sample size is  n =  50  

    The  population mean is [tex]\mu = 4[/tex]

     The  sample mean is [tex]\= x = 3.79[/tex]

     The standard deviation is [tex]\sigma = 1.2[/tex]

     The  level of significance is  [tex]\alpha = 0.10[/tex]

The  null hypothesis is  [tex]H_o : \mu = 4[/tex]

The alternative hypothesis is [tex]H_a : \mu \ne 4[/tex]

Generally  the  test statistics is mathematically represented as

         [tex]z = \frac{ \= x - \mu }{ \frac{ \sigma }{ \sqrt{n}} }[/tex]

=>      [tex]z = \frac{ 3.79 - 4 }{ \frac{1.2}{ \sqrt{50}} }[/tex]

=>       [tex]z = -1.237[/tex]

From the z table  the area under the normal curve to the left corresponding to    -1.237  is    

         [tex]P(Z < -1.237) = 0.10804[/tex]

Generally the p-value is mathematically represented as

        [tex]p-value = P(Z < -1.237) = 2 * 0.10804[/tex]

=>    [tex]p-value = 0.21608[/tex]

Generally  from the values obtained we see that

       [tex]p-value > \alpha[/tex]

Hence

The decision rule is

Fail to reject the null hypothesis

 The conclusion is

There is  no sufficient evidence to conclude that the average is a different number for college students

Answer:

1 bag of 3 purple beads and 3 bags of 6 indigo beads

Step-by-step explanation:

3 + 18 = 21

1st box: x

2nd box: y

3rd box: 3

4th box: 0

9514 1404 393

Answer:

  6.9 cm

Step-by-step explanation:

The law of sines is useful here:

  u/sin(U) = w/sin(W)

  u = w · sin(U)/sin(W) = (9.7 cm)sin(42°)/sin(110°)

  u ≈ 6.9 cm

Answer:

6.9

Step-by-step explanation:

Answer:

a) F(d)=350+0.06d

b)$390.2

Step-by-step explanation:

350+0.06(670)=390.2

Answer:

3.6%

Step-by-step explanation:

The formula for percent error is [ |va-ve/ve| * 100% ].

1200-1158/1158 * 100%

42/1158 * 100%

0.036 * 100%

3.6%

Best of Luck!

The percentage error should be 3.6%

Given that,

Based on the above information, the calculation is as follows:

[tex]= (1200-1158)\div 1158 \times 100\%\\\\= 42\div 1158 \times 100\%\\\\= 0.036 \times 100\%\\\\[/tex]

= 3.6%

learn more; https://brainly.com/question/1691136?referrer=searchResults

Given:

Focus of a parabola is (0, -12) and directrix is y = 12.

To find:

The equation of the parabola.

Solution:

General form of a parabola is

[tex](x-h)^2=4p(y-k)[/tex]       ...(i)

where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

Focus is (0, -12).

[tex](h,k+p)=(0,-12)[/tex]

[tex]h=0[/tex]

[tex]k+p=-12[/tex]         ...(ii)

Directrix is y = 12.

[tex]k-p=12[/tex]      ...(iii)

Adding (ii) and (iii), we get

[tex]2k=0[/tex]

[tex]k=0[/tex]

Putting k=0 in (ii), we get

[tex]0+p=-12[/tex]

[tex]p=-12[/tex]

Putting h=0, k=0 and p=-12 in (i).

[tex](x-0)^2=4(-12)(y-0)[/tex]

[tex]x^2=-48y[/tex]

[tex]-\dfrac{1}{48}x^2=y[/tex]

Therefore, the required equation of parabola is [tex]y=-\dfrac{1}{48}x^2[/tex].

Answer:

[tex] \angle PQR [/tex], [tex] \angle SQR [/tex], and [tex] \angle PQS [/tex]

Or

angle PQR, angle SQR and angle PQS

Step-by-step explanation:

The three different angles in the diagram are angle PQR, angle SQR and angle PQS.

Another way of writing this is using an angle sign before the alphabets follows. Thus:

[tex] \angle PQR [/tex], [tex] \angle SQR [/tex], and [tex] \angle PQS [/tex]

Answer:

2

Step-by-step explanation:

2 seems to be the only one that is correct

Correct Statements: (modified the statements that are incorrect)

1. The coordinates of point A are (-3, 3)

2. Already correct

3. The coordinates of point C are (-2, -2)

4. Point B is the closest to the y-axis (only one away)

5. Point A is 3 away and Point B is 1 away

(sorry if this is confusing but this is what I got)

8.25 x 22 = 181.5

181.5 divided by 60 = 3.025

each month, they would work about 3 hours

Answer:

7. 33 degrees

8. 17 degrees

9. 41 degrees

10. 75 degrees

This is all i can do I'd have to look up how to do 11-13

I hope this helps a little

Step-by-step explanation:

Answer:

x = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-3(x - 2) = 12

Step 2: Solve for x

Answer:

A. Both ends go down.

General Formulas and Concepts:

Algebra II

Step-by-step explanation:

If we graph the function, we can see that when x goes to -∞, y also goes to -∞.

We also see that when x goes to ∞, y still goes to -∞.

Therefore, both ends of the graph would head towards -∞, making A. the correct answer choice.

Answer:Both ends go down

Step-by-step explanation:

Answer:

Volume=972π units cubed.

Step-by-step explanation:

The formula for the volume of a sphere is:

V=4/3πr^3

where r=radius

and v=volume

so we know the radius of the sphere in the diagram is 9 cm

so r=9 cm

we can subsitute this into the formula and solve.

V=4/3π(9^3)

V=4/3π*729

V=972π units cubed.

Answer:

bhnnjn

Step-by-step explanation:

Answer:

just put in 50,tab,0,tab,200,tab,400,tab,100,tab,0.

Step-by-step explanation:

tab is the key on your keyboard.

(a)

KE = m v^2 / 2 = (1200 kg)(20 m/s)^2 / 2 = 240,000 J

(b)

The energy is entirely dissipated by the force of friction in the brake system.

(c)

W = delta KE = KEf - KEi = (0 - 240,000) J = -240,000 J

(d)

Fd = delta KE

F = (delta KE) / d = (-240,000 J) / (50 m) = -4800 N

The magnitude of the friction force is 4800 N.

mark brainliest if correct

Answer:

Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance

null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Step-by-step explanation:

Step(I):-

Given surveyed two random samples of 390 men and 360 women who were tested

first sample proportion

                    [tex]p_{1} = \frac{360}{390} = 0.9230[/tex]

second sample proportion

                  [tex]p_{2} = \frac{47}{52} = 0.9038[/tex]

Step(ii):-

Null hypothesis : H₀ : There is no difference  proportion of positive tests among men is different from the proportion of positive tests among women

Alternative Hypothesis:-

There is difference between proportion of positive tests among men is different from the proportion of positive tests among women

[tex]Z = \frac{p_{1}- p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } } }[/tex]

where

          [tex]P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1}+n_{2} }[/tex]

         P =  0.920

[tex]Z= \frac{0.9230-0.9038}{\sqrt{0.920 X0.08(\frac{1}{390}+\frac{1}{52} } )}[/tex]

Test statistic Z =  0.13008

Level of significance = 0.10

The critical value Z₀.₁₀ = 1.645

Test statistic Z=0.13008 < 1.645 at 0.1 level of significance

Null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women







Answer:

4.778 ounces

Step-by-step explanation:

Given that:

Ounces of orange juice in mixed fruit juice = 1.872

Ounces of mixed fruit juice = 6.65 ounces

Ounces of Mixed fruit juice that is not orange juice :

(Ounces of mixed fruit juice - Ounces of orange juice)

(6.65 - 1.872) ounces

= 4.778 ounces

Answer:

0.4156

Step-by-step explanation:

Given that:

Employer A:

8 pencils per minute

Probability of breaking a pencil = p(A) = 10%

Employer B:

5 pencils per minute

Probability of breaking a pencil = p(B) = 15%

Hence,

Probability of breaking a pencil:

P(breaking a pencil) = (P(A breaks pencil) * P(A)) + (p(B breaks pencil) * p(B))

P(A breaks pencil) = 0.1 * 8 = 0.8

P(B breaks pencil) = 0.15 * 5 = 0.75

P(breaking a pencil) = (0.8 * 0.1) + (0.75 * 0.15) = 0.1925

Hence, probability that a broken pencil was broken by employer A will be :

(P(A breaks pencil) * P(A)) / probability of breaking a pencil

= (0.8 * 0.1) / 0.1925

= 0.08 / 0.1925

= 0.4155844

= 0.4156

Answer:

9 scoops

Step-by-step explanation:

If 10 cookies took 2 scoops of flour, then 4 scoops would make 20 cookies, 6 scoops would make 30, 8 scoops would make 40. If you need 5 cookies, then split 2 scoops in half, which would be one scoop. 8 scoops(which is 40 cookies)+ 1 scoop(5 cookies) = 9 scoops (45 cookies)

Answer:

102

Step-by-step explanation:

hope this helps

Answer:

2+24+40+39-(33-30)

105-33+30

135-33

132

Answer:

30

Step-by-step explanation:

it's x2 for the rest and 15x2 =30

Answer:

11 miles.

Step-by-step explanation:

[tex]\frac{16 gallons}{400 miles} =\frac{x}{275 m}[/tex]

So x is the number of miles. This is a ratio problem, so if we had a situation like 1:2, when 1 changes 2 will accordingly change. 2:4. And 1:2 = 2:4.

So now to solve the equation. Cross multiply 16 and 275 = 4400. Cross multiply 400 and x. You'll end up with an equation like 400x = 4400. Then solve and you'll get x = 11. Hope this helps!

Answer:

The number of times Saba's further is 4, because 12/3 = 4

Step-by-step explanation:

Answer:

The answer is C, the third one.