F
E
B
D
a. Identify at least two pairs of congruent angles in the figure and explain how you know they are
congruent.

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

The measure of SP is 80°, therefore, option (B) is correct.

The center angle that creates the intercepted arc is what is known as the arc measure, which is measured in degrees.

Given that, mKN= 20° and m∠T = 30°.

The formula for the measure of angle ∠T is:

[tex]m\angle{T}= \frac{mSP - mKN}{2}\\30^{\circ} = \frac{mSP - 20^{\circ}}{2}[/tex]

60° = mSP - 20°

mSP = 60° + 20°

mSP = 80°

Hence, the measure of SP is 80°, therefore, option (B) is correct.

Learn more about the arc measures:
https://brainly.com/question/24199694

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Answer:

m=2

Step-by-step explanation:

(1,2), (2,4)

4-2/2-1

2/1

m=2

Answer:

[tex] x = 1 \frac{5}{16}[/tex]

Step-by-step explanation:

[tex]8x + \frac{5}{2} = 13 \\ \\ 8x = 13 - \frac{5}{2} \\ \\ 8x = \frac{13 \times 2 - 5}{2} \\ \\ 8x = \frac{26 - 5}{2} \\ \\ 8x = \frac{21}{2} \\ \\ x = \frac{21 }{2\times 8} \\ \\ x = \frac{21}{16} \\ \\ x = 1 \frac{5}{16} \\ [/tex]

Answer:

Let us consider B’s age = X

Then A’s age = 4X

Five years ago

⇒ A’s age = 4X + 5

⇒ B’s age = X + 5

Five years hence

⇒ A’s age = 4X + 5 + 5

⇒ A’s age = 4X + 10

⇒ B’s age = X + 5 + 5

⇒ B’s age = X + 10

From the given question

4X + 10 = 2(X + 10)

4X + 10 = 2X + 20

4X – 2X = 10

2X = 10

X = 5

A’s age = 4X + 5

A’s age = 25 years

B’s age = X + 5

B’s age = 10 years

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Answer:

y = -1/2

Step-by-step explanation:

−7⋅

Answer:

Step-by-step explanation:

y/-7=1/14

use cross multiplication

Hope it helps

Answer: -4,-1.5,1,3.5,6,8.5

Step-by-step explanation: You can check that the difference of any of its consecutive terms is always equal to 2.5.

8.5 - 6 = 2.5

-1.5 - (- 4) = 2.5

3.5 - 1 = 2.5

Answer:

25 boxes

Step-by-step explanation:

Answer:

If two lines are parallel they have the same slope, if they are perpendicular they have opposite slopes.

Step-by-step explanation:

Example of parallel lines: y=3x+10  &  y=3x-4

Example of perpendicular lines: y=2x-9  &  y=-1/2x+1

Answer:

It would cost $49.50

$0.99 x 50 = $49.50

Answer:

785.398 ft

Step-by-step explanation:

Circumfrence = pi * diameter

Answer:

X=60

Step-by-step explanation:

y=kx

5=15k

k=1/3

y=1/3 x

20=1/3 x

x=60

Answer:

A. 22 trees

D. 55 trees

Step-by-step explanation:

A and D are the answers because (6x2) + (5x2) = 22 and (6x5) + (5x5) = 55

Answer:

46

Step-by-step explanation:

p=40+0.15(40)

=40+6

Answer:

40 + 6

Step-by-step explanation:

I hope this helps!

Answer:

A) Debe agregarse 973 centímetros cúbicos para obtener un decímetro cúbico.

B) Debe agregarse 700 centímetros cúbicos para obtener un decímetro cúbico.

C) Debe agregarse 0,0009 decímetros cúbicos para obtener un decímetro cúbico.

D) Debe agregarse 999988 milímetros cúbicos para obtener un decímetro cúbico.

Step-by-step explanation:

A) Sabemos que un decímetro cúbico equivale a 1000 centímetros cúbicos, entonces la cantidad a adicionar a los 27 centímetros cúbicos para obtener un decímetro cúbico es:

[tex]x = 1000\,cm^{3}-27\,cm^{3}[/tex]

[tex]x = 973\,cm^{3}[/tex]

Por tanto, debe agregarse 973 centímetros cúbicos para obtener un decímetro cúbico.

B) Sabemos que un decímetro cúbico equivale a 1000 centímetros cúbicos, entonces la cantidad a adicionar a los 300 centímetros cúbicos para obtener un decímetro cúbico es:

[tex]x = 1000\,cm^{3}-300\,cm^{3}[/tex]

[tex]x = 700\,cm^{3}[/tex]

Por tanto, deben agregarse 700 centímetros cúbicos para obtener un decímetro cúbico.

C) Sabemos que 0,0001 metros cúbicos equivalen a 0,1 decímetros cúbicos, entonces la cantidad a adicionar a 0,1 decímetos para obtener un decímetro cúbico es:

[tex]x = 1\,dm^{3}-0.1\,dm^{3}[/tex]

[tex]x = 0.9\,dm^{3}[/tex]

Por tanto, deben agregarse 0,0009 decímetros cúbicos para obtener un decímetro cúbico.

D) Sabemos que 1 decímetro cúbico equivale a 1000000 milímetros cúbicos, entonces la cantidad a adicionar 12 milímetros cúbicos es:

[tex]x = 1000000\,mm^{3}-12\,mm^{3}[/tex]

[tex]x = 999988\,mm^{3}[/tex]

Por tanto, deben agregarse 999988 milímetros cúbicos para obtener un decímetro cúbico.

Answer:

the slope is 1

Step-by-step explanation:

The linear equation is y=x+2

Answer:

√15+  3

6,9

√3,9 x 3,9+ 3

3,9 +3 =6, 9

Answer:

dont use this

Step-by-step explanation:

oinf+euiv=4

Answer:

31.4 is the answer

Step-by-step explanation:

Answer:

31.4

I hope this helps!

Answer:y=3x+1

Step-by-step explanation:

Slope intercept form is y=mx+b

(m) is slope

(b) is y int

y=3x+1

Answer:

The price is proportional to number of students

Step-by-step explanation:

Given

2010: $1260 for 84 students

2011: $1050 for 70 students

2012: $1395 for 93 students

Required

Determine if the price is proportional to number of students

To do this, we simply divide the price by number of students in each year.

[tex]Ratio = \frac{Price}{Students}[/tex]

In 2010

[tex]Ratio = \frac{\$1260}{84}[/tex]

[tex]Ratio = 15[/tex]

In 2011

[tex]Ratio = \frac{1050}{70}[/tex]

[tex]Ratio = 15[/tex]

In 2012:

[tex]Ratio = \frac{1395}{93}[/tex]

[tex]Ratio = 15[/tex]

Notice that the ratio in the 3 years is 15.

Hence, the price is proportional to number of students

Answer:

m - 30 = 10

m = 40

30 - m = 10

m = 20

Hope This Helps!

Answer:

[tex] \frac{5y \sqrt{6x} }{6x} [/tex]

Step-by-step explanation:

[tex]\sqrt{ \frac{25y^2}{6x}} \\ \\ = \frac{5y}{ \sqrt{6x} } \\ \\ = \frac{5y \sqrt{6x} }{ \sqrt{6x} \times \sqrt{6x} } \\ \\ = \frac{5y \sqrt{6x} }{6x} [/tex]

Answer:

you didnt show the table and I need the ta le in order to answer your question

Answer:

75.39 ft

Step-by-step explanation:

r = Radius of the circle drawn by the propeller = 4 ft

Circumference of the circle is

[tex]C=2\pi r\\\Rightarrow C=2\pi 4\\\Rightarrow C=25.13\ \text{ft}[/tex]

So in one rotation the distance traveled by an ant sitting on the blade tip is 25.13 ft.

Now the ant held on for 3 rotations so distance traveled is

[tex]3\times 25.13=75.39\ \text{ft}[/tex]

The bug traveled 75.39 ft.

Answer:

ST = 23

RU = 8

SV = 5

SV = 10

Step-by-step explanation:

Use the knowledge of the properties of a kite to find the measure of ST, RU, SV, and SU as shown below:

✍️Recall: Each pair of adjacent sides of a kite are congruent/equal.

ST and TU are a pair of adjacent sides.

TU = 23

✅Therefore, ST = 23.

RU and RS are a pair of adjacent sides.

RS = 8

✅Therefore, RU = 8.

✍️ Recall: the longer diagonal of a kite bisects the shorter one. This means RT divides SU into two equal parts, namely SV and UV.

Since UV = 5, therefore,

✅SV = 5

SU = UV + SV

✅SV = 5 + 5 = 10

A bisector divides the lines it bisects into equal segments

The measures of ST, RU, SV, SU are 23, 8, 10 and 5 respectively

From the diagram, we have:

[tex]\mathbf{TU = 23}[/tex]

[tex]\mathbf{UV = 5}[/tex]

[tex]\mathbf{RS = 8}[/tex]

Because RT bisects SU, then:

[tex]\mathbf{ST = TU}[/tex]

So, we have:

[tex]\mathbf{ST = 23}[/tex]

Also, we have:

[tex]\mathbf{RU = RS}[/tex]

So, we have:

[tex]\mathbf{RU = 8}[/tex]

Also, we have:

[tex]\mathbf{SV =VU \times 2}[/tex]

[tex]\mathbf{SV =5 \times 2}[/tex]

[tex]\mathbf{SV =10}[/tex]

Lastly, we have:

[tex]\mathbf{SU =VU}[/tex]

[tex]\mathbf{SU =5}[/tex]

Hence, the measures of ST, RU, SV, SU are 23, 8, 10 and 5 respectively

Read more about bisectors at:

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