List all 6 Congruence statements for the following triangles.

Answer:

(i) The name of the part of the circle, OQ is a radius

(ii) The radius of the sector QOR is 21 cm

Step-by-step explanation:

The given figure is a sector of the circle O

∵ Any sector of a circle formed from 2 radii and an arc

∴ OQ is a radius

(i) The name of the part of the circle, OQ is a radius

The rule of the length of an arc of a circle is L = [tex]\frac{\alpha }{360}[/tex] × 2 π r, where

∵ The length of the arc QR is 22 cm

∴ L = 22

∵ The measure of the angle of the arc is 60°

∴ α = 60°

∵ π = [tex]\frac{22}{7}[/tex]

→ Substitute them in the rule above

∵ 22 = [tex]\frac{60}{360}[/tex] × 2 × [tex]\frac{22}{7}[/tex] × r

∴ 22 = [tex]\frac{22}{21}[/tex] r

→ Divide both sides by  [tex]\frac{22}{21}[/tex]

∴ 21 = r

(ii) The radius of the sector QOR is 21 cm

Answer:

[tex]\frac{1}{11}[/tex]

Step-by-step explanation:

11 is [tex]\frac{11}{1\\}[/tex] so to get the reciprocal just flip it to [tex]\frac{1}{11}[/tex]

Answer:

24

Step-by-step explanation:

8 times 3=24

Answer:

$20

Step-by-step explanation:

She has 5 dollars originally, she sells 2 pillows for $10 each that = $20 and then she sold one for $5 but she spent a original $5 on material so $25 - $5 = $20

Answer:The missing part of ∠R = 70°. Hence, you can find the missing ∠R in the triangle (70°). 180°-110°=70°

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

I hope this helps!

Step-by-step explanation:

Answer:

Answer:The missing part of ∠R = 70°. Hence, you can find the missing ∠R in the triangle (70°). 180°-110°=70°

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

Answer:

67

Step-by-step explanation:

cause math

Answer:

It is 67

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

-20 - 18 = -38

-7 - 12 = -19

-38/-19 = 2

Answer:

The slope is 2 which means the equation would be y=2x.

Step-by-step explanation:

Answer:

2.4 m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope of the trail is expressed as;

Slope = vertical distance/horizontal distance

Given

Vertical distance = 60metres

Horizontal distance= 300metres

Substitute

Slope = 60/300

Slope = 6×10/30×10

Slope = 6/30

Slope = 6×1/6×5

Slope = 1/5

Hence the slope of the trail in reduced fraction is 1/5

Answer:

15h

Step-by-step explanation:

Answer:

17 hours

Step-by-step explanation:

she needs 150, she spends 3 and she makes 9 per hour

153/9 = 17

Answer:16.78

Step-by-step explanation:

Answer:

VXFFHVV

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

3-gallon container of laundry detergent for $34.56

Step-by-step explanation:

48-fluid-ounce container of laundry detergent for  $5.28

5.28 : 48 = 0.11

check your work:  0.11 x 48 = 5.28

so for the first offer you will be paying $0.11 per ounce of laundry detergent.

3-gallon container of laundry detergent for $34.56

1 gallon = 128 ounces

3 gallons = 384 ounces

34.56 : 384 = 0.09

check your work:  0.09 x 384 = 34.56

for the second offer you will be paying $0.09 per ounce of laundry detergent. 3-gallon container of laundry detergent for $34.56 is a better buy because you will be paying less for each ounce of detergent.

hope this helps!

Answer:

B) 55 cm

Step-by-step explanation:

it’s correct from EDGE

The value of P( < 0.18) is 0.057.

The probability, for a particular statistical model, that the statistical summary would be equal to or more extreme than the actual observed results if the null hypothesis were true is known as the P value.

Given:

Sample Size = 1000

and, p= 0.20

So, P( P' < 0.18)

= P ( P'- P / √ P(1- P)/ n < 0.18 - 0.20 / √ 0.2 (1- 0.2)/ 1000 )

= P ( P'- P / √ P(1- P)/ n  < -0.02/ 0.0126)

=  P ( P'- P / √ P(1- P)/ n  < - 1.582)

= P( z < - 1.582)

= 0.056939

= 0.057

Learn more about p- value here:

https://brainly.com/question/14790912

#SPJ5

Answer:

Step-by-step explanation: 0.8

Answer:

SPANISH TALK THE ENGLSH

Step-by-step explanation:OKKK

OK I GIV ANSWER TALK ENGLISh

Answer:

160

Step-by-step explanation:

120/3 = 40

40 x 4 = 160

May I have brainliest please? :)

Answer:

6543

Step-by-step explanation:

Not much to explain lol

Here,

Odd numbers are 3 and 5.

The largest odd number =6543

Since you asked how to solve this, I will put the answer at the bottom.

You might not think the same way as I but I think in steps.

The bacteria divide every 20 minutes, and will therefore divide three times every hour, 60/20 = 3.

If the bacteria grow for eleven hours, each bacterium will divide 3 times per hour × 11 hours = 33 times.

(This part is edited)

(orginial size)*2^number of divisions

10*[tex]2^{33\\}[/tex]

=85899345920

(9)

x ° = 1/2 (130° - 30°) = 50°

(due to a theorem about intersecting secants/tangents)

(11) The labeled angle subtends a minor arc of meaure 120°, which means the larger arc has a measure of 360° - 120° = 240°. Then

x ° = 1/2 (240° - 120°) = 60°

(due to the same theorem)

(13) The labeling here is a bit confusing. I'm not sure what the 70° is referring to. It occurs to me that it might be info from a different exercise, so that y ° is the measure of the angle made by the tangent to the circle with a vertex of the pentagon, and x ° is the measure of each arc that passes over an edge of the pentagon.

Each arc makes up 1/5 of the circle's circumferece, so

x ° = 360°/5 = 72°

The pentagon is regular, so each of its interior angles have the same measure of 108°. (Why 108°? Each exterior angle measures 360°/5 = 72°, since the exterior angles sum to 360°. Interior and exterior angles are supplementary, so the interior angles measure 180° - 72° = 108° each.)

The angles formed by the tangent to the circle are supplementary, so that

y ° + 108° + y ° = 180°

2y ° = 72°

y ° = 36°

Answer:

9/-6

Step-by-step explanation:

when you subtract (x2-x1) and (y2-y1) this is the answer you get.

[tex]-\frac{3}{2}[/tex]

Use the point slope formula

[tex]Slope = m = \frac{y_2-y_1}{x_2-x_1} = \frac{13-4}{-2-(-8)} = \frac{9}{6} = \frac{9}{6} = \frac{3}{2}[/tex]

This is the difference between two points with the rise (change in y) over the run (change in x)

Sorry it took so long for so little my girlfriend was distracting me

Hope this helps :)

Answer:

-.71

Step-by-step explanation:

-3/4+ ((1/10)/(2/5))

Answer:

We will use;

21 parts oil

14 parts soy sauce

7 parts Orange

Step-by-step explanation:

We can have all of these as a ratio

That would be;

3 + 2 + 1 = 6

For oil

3/6 * 42 = 21 parts of oil

For Soy sauce

= 2/6 * 42 = 14 parts soy sauce

For Orange

= 1/6 * 42 = 7 parts orange juice

Answer: 7 14 21

Step-by-step explanation:

6x___=42 you fill in the blanks

Answer:

14 to 44

Step-by-step explanation:

14 + 30 = 44 (this number represents total items)

There are 14 crayons

Therefore the answer Is 14 to 44

Answer:

Time: 8 minutes

Altitude: 20000ft

Method 1 is easiest

Method 3 is easiest

Step-by-step explanation:

Given

Airplane 1:

[tex]Height = 44800 ft[/tex]

[tex]Descending\ Rate = 3100ft/min[/tex]

Airplane 2:

[tex]Ascending\ Rate = 2500ft/min[/tex]

Required

Determine when both planes would be at the same altitude?

Let the minute be represented by m

For Airplane 1, Its altitude at any height h is:

[tex]Airplane\ 1 = Height - Descending\ Rate * m[/tex]

It is minus (-) because the airplane is descending

[tex]Airplane\ 1 = 44800 - 3100 * m[/tex]

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

For Airplane 2, Its altitude at any height h is:

[tex]Airplane\ 2 = Ascending\ Rate * m[/tex]

[tex]Airplane\ 2 = 2500 * m[/tex]

[tex]Airplane\ 2 = 2500m[/tex]

Method 1:

For both heights to be equal, we have that:

[tex]Airplane\ 1 = Airplane\ 2[/tex]

This gives:

[tex]44800 - 3100m = 2500m[/tex]

Collect Like Terms

[tex]44800 = 2500m + 3100m[/tex]

[tex]44800 = 5600m[/tex]

[tex]5600m = 44800[/tex]

[tex]m = 44800/5600[/tex]

[tex]m = 8\ min[/tex]

Hence, the time they will be at the same altitude is 8 minutes

Substitute 8 for m in

[tex]Airplane\ 2 = 2500m[/tex]

[tex]Airplane\ 2 = 2500 * 8[/tex]

[tex]Airplane\ 2 = 20000\ ft[/tex]

Hence, they will be at the same altitude at 20000ft

Method 2:

We have that:

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 2 = 2500m[/tex]

Since they are to be at the same altitude, then

The difference in their altitude must be 0

i.e.

[tex]Airplane\ 1 - Airplane\ 2 = 0[/tex]

This gives

[tex]44800 - 3100m - 2500m = 0[/tex]

[tex]44800 - 5600m = 0[/tex]

Collect Like Terms

[tex]5600m = 44800[/tex]

[tex]m = 44800/5600[/tex]

[tex]m = 8\ min[/tex]

Substitute 8 for m in

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 1 = 44800 - 3100 * 8[/tex]

[tex]Airplane\ 1 = 44800 - 24800[/tex]

[tex]Airplane\ 1 = 20000\ ft[/tex]

Method 3:

We have that:

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 2 = 2500m[/tex]

Since they are to be at the same altitude, then

The ratio of their altitudes must be 1

i.e.

[tex]\frac{Airplane\ 1}{Airplane\ 2} = 1[/tex]

[tex]\frac{44800 - 3100m}{2500m} = 1[/tex]

Cross Multiply

[tex]44800 - 3100m = 1 * 2500m[/tex]

[tex]44800 - 3100m = 2500m[/tex]

Collect Like Terms

[tex]44800 = 2500m + 3100m[/tex]

[tex]44800 = 5600m[/tex]

[tex]5600m = 44800[/tex]

[tex]m = 44800/5600[/tex]

[tex]m = 8\ min[/tex]

Substitute 8 for m in

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 1 = 44800 - 3100 * 8[/tex]

[tex]Airplane\ 1 = 44800 - 24800[/tex]

[tex]Airplane\ 1 = 20000\ ft[/tex]

Hence;

Their altitudes must be 20000ft

Though the three methods applied uses the same logic at some point, the first method applied is still the easiest and it is a straight forward method that could be applied in solving the question.

Method 3 is the most difficult.

Answer:

la respuesta

Step-by-step explanation:

perdon si no es