Which Triangles are Congruent and Explain Why.

Answer:

m<P = 50°

Step-by-step explanation:

Given:

Arc CE = 82°

Arc DF = 98°

Ratio of arc CD to Arc EF = 2:7

Thus, let,

Arc CD = 2x

Arc EF = 7x

A full circle = 360°

Therefore,

Arc CE + Arc DF + Arc CD + Arc EF = 360°

Substitute

82° + 98° + 2x + 7x = 360°

Add like terms

180° + 9x = 360°

Subtract 180° from both sides

180° + 9x - 180° = 360° - 180°

9x = 180°

Divide both sides by 9

9x/9 = 180/9

x = 20

✔️Arc CD = 2x

Plug in the value of x

Arc CD = 2(20) = 40°

Arc EF = 7x = 7(20) = 140°

✔️Find m<P:

Recall: the measure of the external angle created when two secants intersect = half the difference of the major and minor arcs that are intercepted

Thus:

m<P = ½(arc EF - arc CD)

Substitute

m<P = ½(140° - 40°)

m<P = ½(100°)

m<P = 50°

Answer:

7.

Step-by-step explanation:

The equation of a circle is

(x - h)² + (y - k)² = r²

Where

(h, k) is the center and r is the radius, so we only need to work with r.

The expression states that

r² = 49 or the radius squared is equal to 49. So solve for r to find the radius.

r² = 49

Take the square root.

r = 7

The radius of the equation is 7.

Answer:

Step-by-step explanation:

according to the question ur equation is

9y-8(a+b)

9y-8a-8b

Answer:

$126

Step-by-step explanation:

Answer: x2 - 6

Step-by-step explanation: Your welcome :)))

There's 3 terms

3a-----1

+b -----2

-4c------3

Answer:

[tex]P(Mary) = (1 - p) * r[/tex]

Step-by-step explanation:

Given

[tex]p \to[/tex] Peter hits

[tex]r \to[/tex] Mary hits

Required

The probability that Mary wins

From the question, we understand that Peter throws the first.

If Mary is to win, then Peter has to lose his throw

Using the complement rule, the probability that Peter misses is:

[tex]p' = 1 - p[/tex]

So, the probability that Mary wins is:

[tex]P(Mary) = p' * r[/tex]

This gives:

[tex]P(Mary) = (1 - p) * r[/tex]

Answer:

Step-by-step explanation:

using pythagoras theorem formula

a^2+b^2=c^2

19^2+52^2=c^2

361+2704=c^2

[tex]\sqrt{3065}[/tex]=c

55.36=c

55=c

Answer: 2

Step-by-step explanation:

2

Answer:

A

Step-by-step explanation:

The graft go's by twos

Answer: step 4 is incorrect

Step-by-step explanation:

Answer:

step 4 is incorrect.

there must be;

cos(π/2-x)cos(y)-sin(π/2-x)siny

Answer:

Angle B 66

Step-by-step explanation:

Complementary angles means their sum is 90

if angle 2 is 24, angle 3 is 90-24

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

-3/8 / -1/4

Negative divided by negative is positive.

To divide by a fraction, change the division to a multiplication and flip the fraction.

-3/8 / -1/4 =

= 3/8 * 4/1

= 12/8

= 3/2

Answer: yeah the other person is right

Step-by-step explanation:

Answer:

The p-value of the test is 0.209 > 0.05, which means that there is not enough evidence at the 0.05 level to support the manager's claim.

Step-by-step explanation:

The company's promotional literature states that 44% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is below the stated percentage.

At the null hypothesis, we test if the proportion is of 44%, the stated value. So

[tex]H_0: p = 0.44[/tex]

At the alternate hypothesis, we test if the proportion is below the stated value, that is, it is less than 0.44. So

[tex]H_1: p < 0.44[/tex]

The test statistic is:

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

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.44 is tested at the null hypothesis:

This means that [tex]\mu = 0.44, \sigma = \sqrt{0.44*0.56}[/tex]

A sample of 1600 computer chips revealed that 43% of the chips fail in the first 1000 hours of their use.

This means that [tex]n = 1600, X = 0.43[/tex]

Value of the test statistic:

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

[tex]z = \frac{0.43 - 0.44}{\frac{\sqrt{0.44*0.56}}{\sqrt{1600}}}[/tex]

[tex]z = -0.81[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.43, which is the p-value of z = -0.81.

Looking at the z-table, z = -0.81 has a p-value of 0.209.

The p-value of the test is 0.209 > 0.05, which means that there is not enough evidence at the 0.05 level to support the manager's claim.

Answer:

1.75 hours

Step-by-step explanation:

Time for day 1 : 4.5 hrs

Time for day 2: (4.5 ×2.5)

Time for day 3: let it be denoted by a variable ,say T.

Total Time= 17.5

(Time for day 1 ) + (Time for day 2) +(Time for day 3) =17.5

4.5 + (4.5×2.5) + T = 17.5

4.5+11.25+T =17.5

15.75+T=17.5

T=17.5-15.75

T= 1.75

Answer:

8 units

Step-by-step explanation:

AB = √(4×(4+12))

= √(4×16)

= 2×4

= 8 units

Answer:

Step-by-step explanation:

let it's breadth be x

area of rectabgle=l*b

259=18.5*b

259/18.5=b

14=b

perimeter of rectangle=2(l+b)

=2(18.5+14)

=2*32.5

=65 cm

Answer:

Breadth = 14 cm

Perimeter = 65 cm

Step-by-step explanation:

        Area = [tex]259cm^{2}[/tex] = l * b

       Therefore, breadth = area / length

        Breath = 259 / 185 = 1.4 * 10 = 14 cm

        Perimeter = 2 (18.5 + 14)

        Perimeter = 2 (32.5)

        Therefore, perimeter = 65 cm

I hope this helps :)

The rational root of the function  f(x) = x³ - 3x² + 2 is - 1.

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

Given, A polynomial function of degree three f(x) = x³ - 3x² + 2.

Now, The roots of the function is when f(a) = 0.

The last term is, 2, Hence the roots must be,

± 1, ± 2, The factors of 2.

f(-1) = - 2.

f(1) = 0.

f(-2) = - 18.

f(2) = - 2.

So, The only rational root is x = - 1 and the other roots are irrational and can be obtained by the obtained quadratic equation after factoring or by long division.

learn more about polynomials here :

https://brainly.com/question/11536910

#SPJ7

Answer:

Step-by-step explanation:

2/14 * 1/23 = 1/91

Answer:

9 cm

Step-by-step explanation:

y = 12 - 3

y = 9

Answer: 1 6/10

Step-by-step explanation:

Subtract 7 3/10 with 5 7/10 !!!btw subscribe to Aphmua and unspeakable!

Answer:

Step-by-step explanation:

49 - 3m = 4m + 4

=> 49 - 4 = 4m + 3m

=> 45 = 7m

[tex] = > \frac{45}{7} = m[/tex]

=> 6.428571... = m

=> m = 6.43 (approx. ) (Ans)

Answer:

m = - 6 . 43

Step-by-step explanation:

49 - 3m = 4m + 4

= 49 - 4 = 4m + 3m

=45 = 7m

= 6.428571... = m

= m = 6.43  

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (2, 3 ) → A' (- 2, 3 )

B (4, 5 ) → B' (- 4, 5 )

C (6, 2 ) → C' (- 6, 2 )

Answer:

the airspeed of the plane = 660 miles/hr

the speed of the wind = 60 miles/hr

Step-by-step explanation:

The values are missing in the given information in the question.

To able to solve this question, we will make some assumptions.

Let's assume that:

The airplane heading into the wind travels 1800 miles in 3 hours.

While returning via the same distance, it travels 2 hours 30 minutes.

We are to determine the plane's airspeed as well as the wind speed.

First, let us say that the speed of the plane is p and the wind speed is q

during the time the plane is traveling for 1800 miles in 3 hrs.

Then, we can say

3p -3q = 1800 ----- (1)

However, in  2hours 30 minutes, we have 2.5 hours

So, when the plane is returning, we have the following equation:

2.5p + 2.5q = 1800 ---- (2)

So, to find p and q, we can use the elimination method.

Simply by multiplying equation (1) with 5 and equation (2) with 6

 (5)3p    -  (5)3q     = (5) 1800

 (6)2.5p  + (6)2.5q = (6) 1800            

  15p -  15q  = 9000

+

 15p + 15q   = 10800      

 30p -  0     = 19800      

30p = 19800

p = 19800/30

p = 660

Since p = 660, then from equation (1) we can obtain the value of q:

So; Using equation (1):

3p -3q = 1800

3(660) - 3q = 1800

1980 - 3q = 1800

-3q = 1800 - 1980

-3q = -180

q = 180/3

q = 60

Therefore, the airspeed of the plane = 660 miles/hr

the speed of the wind = 60 miles/hr

[tex]\\ \sf\longmapsto 2x^2+x-4=0[/tex]

[tex]\\ \sf\longmapsto 2x^2+x=4[/tex]

[tex]\\ \sf\longmapsto 8(2x^2+x=4)[/tex]

[tex]\\ \sf\longmapsto 16x^2+8x=32[/tex]

[tex]\\ \sf\longmapsto (4x)^2+2(4x)(1)=32[/tex]

[tex]\\ \sf\longmapsto 4x^2+2(4x)(1)+1^2=32+1^2[/tex]

[tex]\\ \sf\longmapsto (4x+1)^2=33[/tex]

[tex]\\ \sf\longmapsto 4x+1=\pm\sqrt{33}[/tex]

[tex]\\ \sf\longmapsto 4x=-1\pm\sqrt{33}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-1\pm\sqrt{33}}{4}[/tex]

Answer:

1st

Step-by-step explanation:

You need to add the numbers and then dicuvde by how many numbers are there.

Answer:

16

Step-by-step explanation:

"Mean" is another way of asking for the average. Add all numbers together, then divide by how many numbers you started with.

16 + 14 + 14 + 21 + 15 = 80

80 ÷ 5 = 16

Answer: for sure c.

Step-by-step explanation: Let me know if im right!

Answer

-1.31 if its getting rounded to nearest number.

The fraction will be -21/16