Who can help me out with this please????

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:

18

Step-by-step explanation:

82/450

Then ×100

and get 18

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

369, because

√369 × √369

= √(369 × 369)

= √136161

= 369

Answer:

√{369×369}=√369²=±369

Answer:

d

Step-by-step explanation:

x them up

Answer:

y=-3x+4

Step-by-step explanation:

Answer:

?

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:

Let S = price of sweater

Let P = price of pants

S + P = 89.47 because that was the total spent

S = P - 8.53   because the sweater is 8.53 less than pants

Substitute P-8.53 in place of S in the

1st equation and solve for P

P - 8.53 + P = 89.47

2P - 8.53 = 89.47     add 8.53 to both sides

2P = 89.47 + 8.53

2P = 98.00  divide both sides by 2

P = 98.00/2

P = $49.00

S = P - 8.53

S = 49.00-8.53

S = $40.47

A sweater costs $40.47 and the pants cost $49.00

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:the repeating digit is 6

Step-by-step explanation:

can i have brainliest

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:

Please tell me more

Step-by-step explanation:

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

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:

45

Step-by-step explanation:

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:

x=2 y=0

Step-by-step explanation:

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:

27 fl oz.

Step-by-step explanation:

Answer: 36

Step-by-step explanation: First you will convert 3/10 into 0.3. Then you will multiply it by 120 by setting it up like this:

120

0.3

For now ignore the decimal and add it later when you are done. I hope this helps!

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:

Q1: (-4,0)

Q2: 3

Step-by-step explanation:

Answer:

4/7

Step-by-step explanation:

the rate of change (aka slope) is the change in y over change in x and as y goes up 4 x goes up 7 so the rate of change is 4/7

have a great day :D

Answer:

10/15 or 2/3 or 67%

Step-by-step explanation: