Solve for x in the following figure.

Answer:

65.97

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When you have a number or numbers by parentheses, you take the number outside them and multiply it to each number that is inside the parentheses. In this case you would do 6*2 + 6*8. If I helped, please mark as brainliest! :)

Answer:

A, B, & C are all correct!

Step-by-step explanation:

Answer:

m∠a = 97°

m∠b = 15°

m∠c = 68°

m∠d = 68°

Step-by-step explanation:

Since WY and RZ are parallel lines and XR is a transverse,

m∠XWY = m∠XRZ

a = 97°

m∠WYX = 180° - 112° = 68°

In ΔXYW,

m∠WXY = 180° - (m∠XWY + m∠WYX)

              = 180° - (a + 68°)

              = 180 - (97 + 68)

              = 180 - 165

              = 15°

           b = 15°

Since WY and RZ are the parallel lines and XZ is a transverse,

m∠WYX = m∠RZX = 68°

c = 68°

m∠d = m∠c [Alternate interior angles]

d = 68°

Answer:

x = 25, y = 5

The interior angles:

<ABC = 75°

<BCD = 50°

<CDA = 105°

<DAC = 130

Step-by-step explanation:

The question has no attachment. See attachment for complete question.

Polygon ABCD is a cyclic quadrilateral.

For cyclic quadrilaterals, their opposite angles add up to 180°.

Meaning that;

2x + 26y = 180 ---- equation 1

and

3x + 21y = 180 ------ equation 2

These will be solved simultaneously..

Multiply ½ to both sides of equation 1

½(2x + 26y) = ½ * 180

½ * 2x + ½ * 26y = ½ * 180

x + 13y = 90

Make x the subject of formula

x = 90 - 13y

Multiply both sides of equation 2 by ⅓

⅓(3x + 21y) = ⅓ * 180

⅓ * 3x + ⅓ * 21y = ⅓ * 180

x + 7y = 60

Recall that x = 90 - 13y.

So, x + 7y = 60 becomes

90 - 13y + 7y = 60

90 - 6y = 60

Collect like terms

-6y = 60 - 90

-6y = -30

Divide both sides by -6

-6y/-6 = -30/-6

y = 5

Recall that x = 90 - 13y.

So, x = 90 - 13(5)

x = 90 - 65

x = 25

Having calculated x and y, the interior angles can then be calculated.

The interior angles of the polygon are

1. <ABC

2. <BCD

3. <CDA

4. <DAC

Recall that x = 25 and y = 5

<ABC = 3x

<ABC = 3 * 25

<ABC = 75°

<BCD = 2x

<BCD = 2 * 25

<BCD = 50°

<CDA = 21y

<CDA = 21 * 5

<CDA = 105°

<DAC = 26y

<DAC = 26 * 5

<DAC = 130

Hence,

x = 25, y = 5

The interior angles:

<ABC = 75°

<BCD = 50°

<CDA = 105°

<DAC = 130

Answer:

Side AB has a length of 4, and side BC has a length of 11.7

Answer:

p = 8

Step-by-step explanation:

3x2 x 2x4 = px6

6 × 8 = 6p

48 = 6p

p = 48/6

p = 8

hope it helps!

Answer:

size

Step-by-step explanation:

Example: (1 0 2) has 1 row and 3 columns, so m = 1 & n = 3 and the size is 1 x 3.

Answer:

1) 943.895 mm3

2) 144 cm3

Step-by-step explanation:

1)

First we need to find the volume of the rectangular prism:

Volume_1 = 9 * 11 * 6 = 594 mm3

Then, we can find the volume of the half cylinder above the prism:

Volume_2 = 0.5*(pi * (4.5^2) * 11) = 349.895 mm3

So the volume of the figure is the sum of both volumes:

Volume_total = Volume_1 + Volume_2 = 943.895 mm3

2)

The volume of a pyramid is one third of the base area multiplied by the height, so we have:

Volume = (1/3) * 6 * 8 * 9 = 144 cm3

Answer:

1. Volume of the composite figure is 943.89 mm³

2. The volume, of the is 144 cm³

Step-by-step explanation:

1. The composite figure comprises of a cube and a half cylinder;

Volume of a cube = 9 mm × 11 mm × 6 mm = 594 mm³

Volume of the half cylinder = area of base × length = (π·r²)/2 × l

Where:

r = (Diameter of base)/2 = 9/2 = 4.5 mm

l = 11 mm

Therefore, plugging the values, gives;

Volume of the half cylinder = (π × 4.5²)/2 × 11 = 349.89 mm³

Hence, volume of the composite figure = Volume of the cube + Volume of the half cylinder

Volume of the composite figure = 594 mm³ + 349.89 mm³ = 943.89 mm³

2. The volume, V of a pyramid is given by the following relation;

[tex]V = \frac{l \times w \times h}{3}[/tex]

Where:

l = Length of base = 8 cm

w = Width of the base = 6 cm

h = Height of the pyramid = 9 cm

[tex]V = \frac{8 \times 6 \times 9}{3} = 144 \ cm^3[/tex]

Here we have that a cube of side x, therefore, the area = x·x, integrating we have;

[tex]\int\limits^x_0 {x \cdot x} \, dx = \frac{x^3}{3}[/tex]

Where:

Length, height width of the pyramid = x

It can therefore be shown, that for a pyramid of length, l, width, w, and height, h, the volume, [tex]V = \frac{l \times w \times h}{3}[/tex] .

Answer:

25/6 or 4 1/6

Step-by-step explanation:

1) convert these fractions to improper fractions first:

8/3+3/2

make like denominators  by multiplying 8/3 by 2 and 3/2 by 3

so 8*2/3*2=16/6

3*3/2*3=9/6

16/6+9/6=25/6

Hope this helps!

Answer:  25/6 or 4.16

Step-by-step explanation:

Answer:

I'm sorry but I don't see any equations

Step-by-step explanation:

Answer:

1. segment RT

2. segment QS

3. segment PS

4. < QTR

5. arc QR

6. arc QSR

7. arc QS

These are all by definition.

Radius: distance from the center of a circle to a point on the circle

Diameter: a chord that goes through the center

Chord: any segment whose endpoints are on the circle

Central Angle: an angle at the center of the circle with endpoints on the circle

Minor Arc: arc that is less than 180 degrees

Major Arc: arc that is greater than 180 degrees

Semicircle: Arc of 180 degrees

Answer:

A

Step-by-step explanation:

the last number is the y intercept so the intercept in the line is -3.5 so I just matched them up.

Answer:

ab+ac does not give the area of this figure.

Step-by-step explanation:

In every situation here except this one, a and b are being added to each other. a and b are on the same side. This means that they cannot be multiplied together and result in the area.

The answer is (a b+ ac) does not give the area of this figure.

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

Here, we have,

In every situation here except this one, a and b are being added to each other. a and b are on the same side. This means that they cannot be multiplied together and result in the area.

Hence, correct answer is (a b+ ac) does not give the area of this figure.

To learn more on Area click:

brainly.com/question/20693059

#SPJ2

Answer:

the length of the car in Ivan's drawing is 12 cm, or the second option.

Step-by-step explanation:

Scale drawing length : actual car length = 2 cm:1 cm

Since it's the same car, we know that the length would be 6 cm.

Therefore, we can set up a proportion and solve for x.

2/1=x/6

x=12

Therefore, the length of the car in Ivan's drawing is 12 cm, or the second option.

I hope this helped and have a good rest of your day!

Answer:

positive

Step-by-step explanation:

Answer:is 55

Step-by-step explanation:

135-25=2x

110/2=55

Answer:

x = 55

Step-by-step explanation:

First you start with your equation, which is: [tex]135=2x+25[/tex]

Subtract 25 from both sides. Once you do that, you get: [tex]110=2x[/tex]

Then after that, you divide both sides by 2. Then you get your answer, which is: [tex]x=55[/tex]

✌Hope I helped ya✌

Answer:

Step-by-step explanation:

−189=4x−3(−4x+15)

−189=16x−45

16x−45=−189

16x−45+45=−189+45

16x=−144

16x /16

= −144 /16

x=−9

Good luck honey !!

Answer:

x=-9

Step-by-step explanation:

-3×-4= 12x -3×15=-45

4x+12x-45=-189

4x+12x=16x

16x-45=-189

16x=-144

x=-9

Answer:

x = 2

Step-by-step explanation:

C on edg 2020

The axis of symmetry of f(x) = 7-4x + x^2 is x = 2

We have:

f(x) = 7-4x + x^2

Differentiate the function

f'(x) = -4 + 2x

Set the function to 0

-4 + 2x = 0

Add 4 to both sides

2x = 4

Divide by 2

x = 2

Hence, the axis of symmetry of f(x) = 7-4x + x^2 is x = 2

Read more about axis of symmetry at:

https://brainly.com/question/15709421

#SPJ9

Step-by-step explanation:

D= rt

Where D is distance r is rate and t is time

15 < r3

15/3 < r

5< r

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The swimming rate of a manatee swims for 15 miles in 3 hours is given as,

Rate > 15 / 3

Rate > 5 miles per hour

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ2

Answer:

The golf ball will be on the ground at 0 and 6 seconds.

Step-by-step explanation:

Just took the test on Plato

Answer:

Hope this helps!

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Step 1: Add 19 to both side

b-19+19=-11+19

b=8

Hope I helped:D

Answer: b = 8

Step-by-step explanation: To solve for b in this equation, we want to get b by itself on the left side of the equation.

Since 19 is being subtracted from b, to get b by itself,

we need to add 19 to the left side of the equation.

If we add 19 to the left side, we must also add 19 to the

right side in order to keep our equation balanced.

Notice that on the left side, -19 and +19 cancel

each other out so we're simply left with b.

On the right side, -11 + 19 equals 8.

So we have b = 8.

Answer:

trevon ran 49 miles

Step-by-step explanation:

9+40=49

Answer:

49 miles

Step-by-step explanation:

Norachi ran 40 miles less than Trevon.

So, Trevon ran 40 miles more than Norachi

Distance covered by Trevon = 40 +9 = 49 miles

You can't

Unless you have a special type of key board, you can only represent fractions with /. This is for a reason however, / also means divided by and that's what you're doing when you write a fraction. You divide the numerator by the denominator.

Sorry I can't give the answer you're looking for

Answer:

Kyla does not have enough money.She needs $36,990.

Step-by-step explanation:

24670*4=98680

98690-54000=44690

Scholarship-2000*4=8,000

44,690-8,000=36990

The answer that I got was 7/7

Answer:

The slope of the line is 1

Step-by-step explanation:

the formula for slope is y2-y1 / x2-x1. The point (-4,2) could be labeled as x1 and y1, where x1 is -4 and y1 is 2 and the point (3,9) could be labeled as x2 and y2, where x2 is 3 and y2 is 9. So then the equation would be set up as the following: 9-2 / 3--4. Simplified, the equation equals 1, because when you subtract it comes out as 7/7.

Hope this helps :)

Answer:

number of men = 30

Step-by-step explanation:

18 men takes 15 days to dig 6 hectares of land.

18 men will take 12 days to dig ? hectares of land

cross multiply

hectares of land = 12 × 6/15  

hectares of land = 72/15

hectares of land = 4.8 hectares

18 men will take 12 days to dig 4.8 hectares of land

? number of men will take 12 days to dig 8 hectares

cross multiply

number of men = 18 × 8/4.8

number of men = 144/4.8

number of men = 30

Answer:

Step-by-step explanation:

A line parallel to y-axis has no defined slope  and line parallel to x-axis has a slope of zero.

Answer:

8/3 hours

Step-by-step explanation:

Sloane drives for 2/3 hours to get grandmother's house

Inorder to arrive at her cousin's house she is required to drive 4 times longer

= 2/3 ×4

= 8/3 hours

Thus, Sloanne needs to drive for 8/3 hours inorder to reach her cousin's house.