1 Are these similar triangles? ​

Answer:

Y = 1/2x

Step-by-step explanation:

x is the amount of cups the cat eats so if it eats 1/2 cup of food each da it would be 1/2x

Answer:

If blue ribbon is 10 inches, red ribbon is 3 inches

If blue ribbon is 27 inches, red ribbon is 20 inches

If blue ribbon is x inches, red ribbon is x - 7 inches

Step-by-step explanation:

Given that,

Need to find,

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How long is the red ribbon if the blue ribbon is 10 inches?

We know that the formula for find the length of the red ribbon is:

length of blue ribbon - 7 inches = length of red ribbon

Since we know the length of the blue ribbon (10 inches), we can apply that to the formula:

10 inches - 7 inches = length of red ribbon

So, what is 10 - 7? That gives us 3. So, the length of the red ribbon is 3 inches if the length of the blue ribbon is 10.

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How long is the red ribbon if the blue ribbon is 27 inches?

We do the same as we did above to get 20 inches as the final answer because 27 inches - 7 inches gives us 20 inches as a difference.

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How long is the red ribbon if the blue ribbon is x inches?

Since we do not know the value of x, we keep the length of the red ribbon to x - 7.

The length of the red ribbon is 3 inches if the blue ribbon is 10 inches.

The length of the red ribbon is 20 inches if the blue ribbon is 27 inches.

The length of the red ribbon is (X - 7) inches if the blue ribbon is X inches.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Length of blue ribbon = x

Length of red ribbon.

= x - 7

Now,

If x = 10
Length of red ribbon.

= 10 - 7

= 3 inches

If x = 27

Length of red ribbon.

= 27 - 7

= 20 inches

If x = X

Length of red ribbon.

= (X - 7) inches

Thus,

The length of the red ribbon is given above.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

D

Step-by-step explanation:

Answer:

Experimental prob

Step-by-step explanation:

Experimental means you actually did it thats why its called experimental.

Theoretical means a guess in the future

Answer:y=-5x-21

Step-by-step explanation:\

y=mx+b

-1=-5(-4)+b

-1=20+b Subtract 20 from each side

-21=b

The equation is y=-5x-21

Answer:

12 hope this helps

Step-by-step explanation:

Answer:

i believe it is

Step-by-step explanation:

a 10.7

Answer: c

Step-by-step explanation:

we can use process of elimination because the side that x is on is bigger than the opposite side so there fore it is c

Answer:

[tex]m\angle QSN=65^\circ[/tex]

Step-by-step explanation:

In the given figure, PQRS is a rhombus and SRM is an equilateral triangle.

We are also given that SN⊥RM and that ∠PRS = 55°.

And we want to find the measure of ∠QSN.

Remember that since PQRS is a rhombus, the angles formed by its diagonals are right angles. Let the intersection point of the diagonals be K. Therefore:

[tex]m\angle RKS=90^\circ[/tex]

Now, RKS is also a triangle. The interior angles of all triangles must be 180. Thus:

[tex]m\angle RKS+m\angle KSR+m\angle SRK=180[/tex]

Substitute in known values:

[tex]90+55+m\angle KSR=180[/tex]

Solve for ∠KSR:

[tex]m\angle KSR+145=180\Rightarrow m\angle KSR=35^\circ[/tex]

Since SRM is an equilateral triangle, this means that:

[tex]m\angle SRM=m\angle RMS=m\angle MSR=60^\circ[/tex]

Note that RNS is also a triangle. Therefore:

[tex]m\angle SRM+m\angle RNS+m\angle NSR=180[/tex]

Substitute in known values:

[tex]60+90+m\angle NSR=180[/tex]

So:

[tex]m\angle NSR+150=180\Rightarrow m\angle NSR=30^\circ[/tex]

∠QSN is the addition of the two angles:

[tex]m\angle QSN=m\angle KSR+m\angle NSR[/tex]

Therefore:

[tex]m\angle QSN=35+30=65^\circ[/tex]

Answer:

[tex] \displaystyle\sf \angle \: QSN = {65}^{ \circ} [/tex]

Step-by-step explanation:

we are given a rombus and an equilateral triangle and [tex]\angle PRS[/tex]

said to figure out [tex]\angle QSN[/tex]

we know that

every angle of an equilateral triangle is 60°

so

[tex]\displaystyle \angle SRM[/tex] should be 60°

the point where two diagonals of triangle intercept be x

recall the diagonals of a rhombus intercept each other at right angles

so [tex]\displaystyle \angle SXR [/tex] should be 90°

we are also given SN [tex] \displaystyle \perp[/tex] RM

so [tex]\displaystyle\angle RNS[/tex] should be 90°

notice that SXRN is a quadrilateral

so the sum of its interior angles is 360°

according to the question

[tex] \displaystyle\sf\angle RNS + \angle SXR + \angle PRM + \angle \: QSN = 360[/tex]

substitute the value of [tex]\angle RNS,\angle SXR\: and \: \angle PRM[/tex]

[tex] \displaystyle\sf {90}^{ \circ} + {90}^{ \circ} + {115}^{ \circ} + \angle \: QSN = {360}^{ \circ} [/tex]

simplify addition:

[tex] \displaystyle\sf {295}^{ \circ} + \angle \: QSN = {360}^{ \circ} [/tex]

cancel 295 from both sides:

[tex] \displaystyle\sf {295}^{ \circ} - {295}^{ \circ} + \angle \: QSN = {360}^{ \circ} - {295}^{ \circ} [/tex]

hence

[tex] \displaystyle\sf \angle \: QSN = {65}^{ \circ} [/tex]

Answer:

Step-by-step explanation:

height h=1.2 m

radius r= D/2=4.5=2.25 m

Volume V=πr²h=π(2.25)²×1.2  ≈3.18m³

369, because

√369 × √369

= √(369 × 369)

= √136161

= 369

Answer:

√{369×369}=√369²=±369

Answer:

18

Step-by-step explanation:

82/450

Then ×100

and get 18

Answer:

-8,-9,-10,-11,-12,-13

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

44÷4=11 she wraps 11 presents in one hour so 11×7=77 so she wraps 77 presentS in 7 hours

Answer:

77

Step-by-step explanation:

First we have to find the unit rate. So we divde 44 by 4 and get 11. To find how any presents she can wrap in 7 hours, we multiply 7 by 11 to get 77. So, she can wrap 77 presents in 7 hours.      

Answer:

45

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Answer:

BC = 20 units

Step-by-step explanation:

if ∡C = ∡B then 2x + 16 = 7x + 6

16 = 5x + 6

10 = 5x

x = 2

BC = 2(2) + 16, which is 20

Answer:

x=2 y=0

Step-by-step explanation:

Answer:

C. 1796.08 [tex]in^2[/tex]

Step-by-step explanation:

Area of circle is [tex]\pi r^2[/tex], r is the radius

remember radius is from the center to the edge, so it is half the diameter

now we need to find the area of the large circle (table) minus the small circle (hole)

the radius of the large circle is 48/2 which is 24

the area is [tex]\pi 24^2[/tex] replacing r in the formula with 24, the radius. Using 3.14 as pi, the answer is 1808.64

the radius of the small circle is 4/2 which is 2

the area is [tex]\pi 2^2[/tex] so the calculated value would be 12.56

now subtract the area of the hole (small circle) from the area of the table (large circle)

1808.64 - 12.56 = 1796.08

and there's your answer

hope that helps, lmk if it doesn't :)

Answer:

Step-by-step explanation:

r₁ = radius of tabletop = 24 in

r₂ = radius of hole = 2 in

area of hole = πr₂² = 4π in²

area of tabletop = πr₁² - πr₂² = 576π - 4π = 572π ≈ 1796.08 in²

Answer:

Exercise 2.

He spent $9.

Exercise 3.

2, 4, 6, 8, 10.

Answer: 2. 9

3. 7 9 11 13 15

Step-by-step explanation:

Answer:

Please tell me more

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

x them up

Answer:

B

Step-by-step explanation:

Answer:

B. The slope is 4. The y-intercept is (0, -9).

Step-by-step explanation:

i took it on A P E X

Answer:

10/15 or 2/3 or 67%

Step-by-step explanation:

Answer:

27 fl oz.

Step-by-step explanation:

Answer:

I believe the answer is 53.505 seconds.

Answer:

53/505

Step-by-step explanation:

Remark

You know that the time must be 53. something for the second lap. If the total of the first and second lap is a whole number, then all you need do is add something to 0.495 to get a whole number.

Method

What you have to do is add 1 - 0.495 to get the decimal to add to 53.

1 - 0.495 = 0.505 which will give you a whole number.

Answer

The answer then is 53.505

Check

51.495

53.505

105.000 seconds total

Answer:

y=-3x+4

Step-by-step explanation:

Answer:

1 Simplify  \frac{24}{5}x  

5

24

​  

x  to  \frac{24x}{5}  

5

24x

​  

.

\frac{24x}{5}=-\frac{11}{4}

5

24x

​  

=−  

4

11

​  

2 Multiply both sides by 55.

24x=-\frac{11}{4}\times 5

24x=−  

4

11

​  

×5

3 Use this rule: \frac{a}{b} \times c=\frac{ac}{b}  

b

a

​  

×c=  

b

ac

​  

.

24x=-\frac{11\times 5}{4}

24x=−  

4

11×5

​  

4 Simplify  11\times 511×5  to  5555.

24x=-\frac{55}{4}

24x=−  

4

55

​  

5 Divide both sides by 2424.

x=-\frac{\frac{55}{4}}{24}

x=−  

24

4

55

​  

​  

6 Simplify  \frac{\frac{55}{4}}{24}  

24

4

55

​  

​  

  to  \frac{55}{4\times 24}  

4×24

55

​  

.

x=-\frac{55}{4\times 24}

x=−  

4×24

55

​  

7 Simplify  4\times 244×24  to  9696.

x=-\frac{55}{96}

x=−  

96

55

​  

Step-by-step explanation: