ABCD is a quadrilateral.
a) Calculate the value of x.

b) When ABCD is drawn to scale, would the lines AD and BC be parallel or not? A You must justify your answer without using a scale drawing.​

Answer:

114

Step-by-step explanation:

114

Answer:

x = 9

Step-by-step explanation:

The central angle is equal in measure to the arc that subtends it, that is

9x - 1 = 80 ( add 1 to both sides )

9x = 81 ( divide both sides by 9 )

x = 9

Answer:

100π

Step-by-step explanation:

Before we even begin solving for the volume we should note that the question says to find the volume of the cylinder " in terms of pi". this means that if pi is present we do not apply it to our final answer and we just leave our answer as __pi

Having that being cleared let's find the volume

volume of a cylinder = πr²h

where r = radius and h = height

looking at the figure the cylinder has a known radius of 5in and a given height of 4in

so r = 5 and h = 4

that being said we want to plug in these given variables into the volume of a cylinder formula

V = πr²h

r = 5 and h = 4

V = π5²4

5²=25

25(4)=100

V = 100π

once again we must leave our answer in terms of pi so the final answer would be 100π

Answer:

16/8 + 24

Step-by-step explanation:

Answer:

they are the dame line...

A. Infinitely many solutions

Step-by-step explanation:

Hello,

Answer D

-8 and 4 are zeros ==> y=k*(x+8)(x-4)=kx²+4kx-32k

(-2,18) is a point of the curve:

18=k*(-2)²-8k-32k

-36k=18

k= - 1/2

Answer:

Have a great rest of ur day :)

Step-by-step explanation:

Answer:

3,4

Step-by-step explanation:

[tex]\displaystyle\bf Solve:8\times p=5,2 \$ => p=\frac{5,2}{8} =\frac{5,2:\boxed{8}}{8:\boxed{8}} =0,65\$\quad She \:unit\: cost\:is\:\underline{ 0,65} \\\\Check :\:8\times\underline{0,65} =5,2\$ \\\\0,65=0,65 \\\\\rightarrow The\: price\:per \:apple \:is \: 0,65 \$[/tex]

Answer:

s for length of either equal side

b for the unequal side

b=-2+2*(s+s) and 2s+b=40

b=2*2s-2

b=4s-2

2s+4s-2=40

6s-2=40

6s=42

s=7

b=4*7-2

b=28-2

b=26

Answer:

From given, we have,

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height.  

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height.

Let the height of Theresa be "x" inches.

So, we get,

For Paul, 1 1/2 x - 16 = T

⇒ 3/2 x - 16 = T ......(1)

For Steve, 1 1/3 x - 6 = T

⇒ 4/3 x - 6 = T .........(2)

equating  equations (1) and (2), we get,

3/2 x - 16 =  4/3 x - 6

6 - 16 = 4/3 x - 3/2 x

-10 = (8 - 9)/6 x

-60 = -x

x = 60 inches.

Therefore, Theresa is 60 inches tall.

Answer:

Step-by-step explanation:

89x = 89 * x

16x = 2 * 2 * 2 * 2 * x

-30x = -1 * 2 * 5 * 3 * x

x is the only factor that is common in all three.

GCF = x

Answer:

Answer:

[tex] \displaystyle 4320 {x }^{3} [/tex]

Step-by-step explanation:

to solve binomials like this there's a way called binomial theorem given by

[tex] \displaystyle {(a + b)}^{n} = \sum _{k = 0} ^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]

but for this question we need the following part

[tex] \displaystyle \boxed{ \binom{n}{k} {a}^{n - k} {b}^{k} }[/tex]

from the question we obtain that a,b and n is 3x,4 and 5 since we want to find the coefficient x³ k should be (5-3) = 2 so we have determined the variables now just substitute

[tex] \displaystyle \binom{5}{2} {(3x)}^{5 - 2} \cdot {4}^{2} [/tex]

simplify which yields:

[tex] \displaystyle \boxed{ \bold{4320 {x }^{3}} }[/tex]

and we are done!

Answer:

Capacity of the rectangular tank in litres is 165.75l

Step-by-step explanation:

Volume of the tank

[tex] = lbh[/tex]

[tex] = 85 \times 65 \times 30[/tex]

[tex] = 165750 {cm}^{3} [/tex]

Capacity of the tank

[tex] = 165750ml[/tex]

[tex] = 165.75l[/tex]

Answer:

Step-by-step explanation:

(4x+3)²÷(x-10)

=(16x²+24x+9)÷(x-10)

x-10) 16x²+24x+9 (16x+184

       16x²-160x

       -      +

   ------------------

               184x+9

               184x-1840

              -      +

             ----------------

                       1849

              ----------------

Answer:

Zoe rode [tex]\frac{5}{6}[/tex] of a mile more than she walked.

Step-by-step explanation:

[tex]\frac{11}{12}-\frac{1}{12} =\frac{5}{6}[/tex]

Answer:

I can't understand your question friend.

Answer:

Average employee [Mean] = 43.6

Step-by-step explanation:

Given:

Interval   Number of employee

25-35                      20

35-45                      7

45-55                      8

55-65                     15

Total                       50

Find:

Average employee [Mean]

Computation:

Interval     X[u+l]/2 Number of employee   fx

25-35         30           20                              600

35-45         40             7                              280

45-55         50            8                              400

55-65         60            15                             900

Total                           50                            2,180

Average employee [Mean] = Sum of fx / Sum of x

Average employee [Mean] = 2,180 / 50

Average employee [Mean] = 43.6

Answer:

aeaaa

Step-by-step explanation:

Answer:

25 + 300 = 325

trousers: spent 30 (a pair of trousers = one unity of trousers)

shirts: spent 19 x 2 = 38

shoes: spent 40 x 2 = 80

80 + 38 + 30 = 148

325 - 148 = 177

She had $177,00 left.

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

Answer:

D

Step-by-step explanation:

[tex]\int\limits^4_1 {\frac{7^{lnx}}{x} } \, dx \\put~ln~x=y\\diff.\\\frac{1}{x} dx=dy\\when~x=1,y=ln1=0\\when x=4,y=ln~4\\\int\limits^{ln4}_0 {7^y} \, dy\\=\frac{7^y}{ln7} |0 ~\rightarrow~ ln 4\\= \frac{7^{ln4}}{7}[/tex]

Answer:

Solution given:

Since the given triangle is isosceles and right angled triangle

perpendicular [p]=base[b]=x

hypotenuse [h]=6

we have

by using Pythagoras law

p²+b²=h²

x²+x²=6²

2x²=36

x²=36/2

x²=18

x=[tex]\sqrt{18}[/tex]

x=[tex]\bold{3\sqrt{2}}[/tex]

The length of side x in simplest radical form with a rational denominator is [tex]3\sqrt{2}[/tex]

Given the following data:

To determine the length of side x in simplest radical form with a rational denominator, we would apply Pythagorean's Theorem:

Mathematically, Pythagorean's Theorem is given by this formula:

[tex]c^2 = a^2 + b^2[/tex]

Substituting the given parameters into the formula, we have:

[tex]6^2 = x^2 + x^2\\\\36=2x^2\\\\18=x^2\\\\x=\sqrt{18} \\\\x=3\sqrt{2}[/tex]

Read more on Pythagorean Theorem here: https://brainly.com/question/16176867

Answer:

p = T - a - b

Step-by-step explanation:

T = a + p + b

p = T - a - b

Answer:

(3x + 7y)^2 =  9 x^2 + 42xy + 49y^2

Step-by-step explanation:

Answer:

a. 18 percent

b. $90 billion

Step-by-step explanation:

a. Calculation to use Okun's law to determine the size of the GDP gap in percentage-point terms.

First step is to find the difference between ACTUAL RATE of unemployment and NATURAL RATE of unemployment

Difference=13%-4%

Difference= 9%

Based on the information above calculation we can see that the ACTUAL RATE of unemployment EXCEEDS the NATURAL RATE of unemployment by 9%, which indicates a CYCLICAL UNEMPLOYMENT.

Thus, According to Okun's law, this translates into an 18 % GDP gap in percentage-point terms (= 2 × 9%).

Therefore the the size of the GDP gap in percentage-point terms is 18 percent

b. Calculation to determine how much output is forgone because of cyclical unemployment

Forgone Output :

By applying Okun’s law we known that the GDP gap is 18%, which means that we are 18% below the GDP amount which is given as $500 billion,

Hence,

Output forgone = (18/100) ×$500 billion

Output forgone=0.18×$500 billion

Output forgone=$90 billion

Therefore the Forgone Output is $90 billion

0.6(180) is the same as asking the question - What is 60% of 180?

To find that answer, we can multiply 0.6 by 180. We use the decimal 0.6 because that is the decimal form of 60%.

0.6 x 180 = 108

Another way we can find this answer is to find 1/10 of 180 and multiply this answer by 6 because 60/100 is the same thing as 6/10.

1/10 of 180 = 18

18 x 6 = 108

Hope this helps!

Answer:

C, {-8, -3, 5, 7}

Step-by-step explanation:

the range = the y-coordinates

i hope this helps you

Answer:

If D is the midpoint of the segment AB, then we have to find the measure of segment AD. Therefore, AD = 7.5 units will be the answer.