In triangle ABC, the measure of angle CAB is 80° and the measure of angle ABC is 45.5°. What is the measure of angle BCA in degrees? A 125.5°125.5 degrees B 54.5°54.5 degrees C 55.5°55.5 degrees D 64.5°

Answer:

Stage crewmember's calculation is incorrect

Correct = 1/16x 1/16y

Step-by-step explanation:

Given that:

Dimension of backdrop : 20 feets long ; 16 feets high

Actual dimension of building : 320 feets long ; 256 feets high

The correct scale factor can be obtained thus :

Ratio of backdrop dimension to the actual dimension of building

Length : 20 / 320 = 1 /16

Height : 16 / 256 = 1/16

Hence, stage crewmember's calculation of (1/20x ; 1/20y) is incorrect.

Answer:

p=4x^3−3x^2+5x−2/x

Step-by-step explanation:

Let's solve for p.

px=4x^3−3x^2+5x−2

Step 1: Divide both sides by x.

px/x=4x^3−3x^2+5x−2/x

p=4x^3−3x^2+5x−2/x

Answer:

p=4x^3−3x^2+5x−2/x

( I hope this was helpful) >;D

Answer:

15x² - 3x - 7

Step-by-step explanation:

(12x² + 2x) - (-3x²+ 5x + 7)

First open the parentheses by applying the distributive property.

To do this, multiply each term you have inside (-3x⅔ + 5x + 7) by -1.

Thus, you would have the following:

12x² + 2x + 3x² - 5x - 7

Add like terms

12x² + 3x² + 2x - 5x - 7

15x² - 3x - 7

Answer:

268

Step-by-step explanation:

The volume formula for a sphere is: V= [tex]\frac{4}{3}\pi r^{3}[/tex]

We also know that [tex]\pi[/tex] is approximately 3.14.

You have to know these in order to solve the question..

Since we also know the diameter is 8 we can also find the radius (r) ,which is half of the diamater so 4.

Now all we need to do it plug in the numbers.

V= [tex]\frac{4}{3}[/tex](3.14)[tex]4^{3}[/tex]

Now solve for the equation.

V=267.94...

So rounded that is 268.

Answer:

yes

Step-by-step explanation:

Answer:

31.5

Step-by-step explanation:

First we want to find what side NP is equal to. To do that we divide 4 by 12

12/4=3 so side mp=3

next we want to find the scale factor of the rectangles. to do that we divide 4 from 9

9/4=2.25

next we want to find what side st is equal too

to do that we multiply 3 by 2.25

3x2.25=6.75

finally we want to find the perimeter and to do that we do 2(6.75)+2(9)

2(6.75)+2(9)=31.5 so the perimeter of rectangle RSTU is 31.5

hope this helps :)

The sum of the angles of a quadrilaterals is 360 so 8s=360 s=45

Answer:

y = -28/5

Step-by-step explanation:

R = 7x +5y

35 = 7(9) + 5y

35 = 63 +5y

-5y= 63- 35

-5y/-5 = 28/-5

Y = -28/5

Answer:

Y = - [tex]\frac{28}{5}[/tex]

Step-by-step explanation:

Given

R = 7X + 5Y ← substitute X = 9, R = 35

35 = 7(9) + 5Y

35 = 63 + 5Y ( subtract 63 from both sides )

- 28 = 5Y ( divide both sides by 5 )

- [tex]\frac{28}{5}[/tex] = Y

Answer:

MMEEEE but im SOOO behinnnd

Step-by-step explanation:

Answer:

Not me sorry.

Step-by-step explanation:

Answer:

x=-5/11, y=-9/11. (-5/11, -9/11).

Step-by-step explanation:

3x+2y=-3

y=4x+1

---------------

3x+2(4x+1)=-3

3x+8x+2=-3

11x=-3-2

11x=-5

x=-5/11

y=4(-5/11)+1

y=-20/11+11/11

y=-9/11

Answer:

30 books

Step-by-step explanation:

bookshelf is 45 inches

each book is 1 1/2 inches

45 / 1 1/2 = 30

30 books can fit on the shelf

Answer:

X axis is on the left of the Coordinates (x,y) and Y axis is on te right

X goes sideways

Y goes Vertical

Step-by-step explanation:

Answer: third graph -4,2 -2,-7

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: 25 sixth graders

Step-by-step explanation:

Sixth-graders are in a ratio with fifth graders in the band at 5:4 and there are 20 fifth-grade students in the band.

To find the number of 6th graders, use direct proportion and assume the sixth grader number is x:

5                   :            4

x                    :            20

4x = 100

x = 100 / 4

x = 25 sixth graders

Answer:

3 and 8

Step-by-step explanation:

3 and 8 are the only numbers that have a variable, or the letter beside it

Answer:

check B and E

Step-by-step explanation:

All the correct congruence statements are,

⇒ ∠R = ∠C

⇒ AB = PQ

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangles ABC and PQR are congruent.

Now, By definition of congruency we get;

All the correct congruence statements are,

⇒ ∠R = ∠C

⇒ AB = PQ

Thus, All the correct congruence statements are,

⇒ ∠R = ∠C

⇒ AB = PQ

Learn more about the triangle visit;

brainly.com/question/1058720

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Answer:

trench

Step-by-step explanation:

Answer:

[tex]\sqrt{\frac{49}{16}[/tex]

Step-by-step explanation:

Answer: v=210

Step-by-step explanation:

Using the given recursive function, we have that:

a) There will be 132 squirrels in the park at the end of August.

b) As time goes by, the number of squirrels in the park will increase.

The recursive function for this problem models the number of squirrels in the park at the end of month n+1, considering the amount present at the end of month n, as follows:

[tex]S_{n+1} = 1.6S_n - 30[/tex]

For this problem, we have that at the amount at the end of May is of 70, hence:

[tex]S_{5} = 70[/tex]

Hence, we find the amounts at the end of June, July and August, as follows:

Hence:

a) There will be 132 squirrels in the park at the end of August.

b) As time goes by, the number of squirrels in the park will increase.

More can be learned about recursive functions at https://brainly.com/question/489759

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Answer:  8

Step-by-step explanation:

take 72 inches and divide it by 9 inches and you will have the answer

Answer:

10x²+8x

Step-by-step explanation:

times everything in the bracket by 2x

Answer:

Value of the car at the end of 3 years is £7917.75

Step-by-step explanation:

The car is purchased for £11500.

In the first year, 15% depriciation.

So, depreciation on first year =11500 *[tex]\frac{15}{100}[/tex] =1725

After first year depreciation the value of car =11500-1725 =£9775

Now, second year depreciation is 10%

So, 10% of 9775 =0.10*9775 =977.5

Value of car after 2 years = 9775 -977.5 =8797.5

Now, for third year depreciation is 10%.

So, depreciation on 3 year = 10% *8797.5

                                           =0.10*8797.5

                                          =879.75

So, value of car after 3 years = 8797.5 -879.75 =£7917.75

Answer:

[tex]x=6.25\\y=-1.25[/tex]

Step-by-step explanation:

[tex]3x+5y=10\\x+3y=1\\\\[/tex]

Second equation times 3:

[tex]3x+9y=3[/tex]

1st equation minus equation above:

[tex]-4y=7\\y=-7/4[/tex]

Insert to equation:

[tex]3x+\frac{-35}{4}=10\\12x-35=40\\12x=75\\x=75/12=6.25[/tex]

Answer:

480 People.

Step-by-step explanation:

120,000(0.004) = 480

Answer:

This is the exterior angle theorem, so

x+30+x+22=130

2x+52=130

2x=78

x=39

sooooooooooooo

39+22=61 degrees

61 degrees

Answer:

21

Step-by-step explanation:

First set up the equation

130 + x + 30 + x + 22 = 180  (triangle angles always add up to 180)

then start to solve to find x

130 +2x + 30 + 22 = 180

182 + 2x = 180

-182          -182

2x = -2

/2     /2

x = -1

Then just plug it back into the equation

-1 + 22

21

Answer:

x = - 2, y = 1

Step-by-step explanation:

Comparing both the equations,

→ y = y → x + 3 = - 2x - 3

=> x + 3 = - 2x - 3

=> x + 2x = - 3 - 3

=> 3x = - 6

=> x = - 6/3 = - 2

Substitute the value of x in any of these:

=> y = x + 3 = - 2 + 3 = 1

Answer:

Step-by-step explanation:

If a solution exists for the system of equations y=y so we can say

x+3=-2x-3 Add 2x to each side

3x+3=-3 Subtract 3 from each side

3x=-6. Divide each side by 3

x=-2, since y=x+3

y=-2+3

y=1

So the solution to the system of equations is the point (x,y)=(-2,1)

Answer:

expand enlarge

inflate lengthen

stretch broaden

open amplify

augment develop

Step-by-step explanation:

expand enlarge

inflate lengthen

stretch broaden

open amplify

augment  develop