In the following image, AB is parallel to DC, and BC is a transversal intersecting both parallel lines. The measure of angle ABC is 118°

Answer:

Option A. 2

Step-by-step explanation:

To solve this problem we can write equations for each shirt color.

Let's call:

b = black shirts

g = gray shirts

w = white shirts

B = brown shirts

If you have 3 times more black shirts than gray shirts and buy 3 more black shirts then:

[tex]b = 3g +3[/tex]     (i)

If you have 5 times more white shirts than gray shirts and gave a white shirt then:

[tex]w = 5g -1[/tex]      (ii)

It has 2 times more gray shirts than brown camsas, then:

[tex]g = 2B[/tex]         (iii)

It has the same amount of black and white shirts

[tex]b = w[/tex]            (iv)

We want to find the number of gray shirts.

Then replace (iv) in (ii)

[tex]b = 5g -1[/tex]        (v)

Now substitute (v) into (i) and clear g.

[tex]5g -1 = 3g +3\\\\5g -3g = 3 +1\\\\2g = 4\\\\g = 2[/tex]

Joan has 2 gray shirts

Joanie has 2 gray shirts, option A.

To determine the number of gray shirts Joanie has, we'll set up and solve a system of equations. Let G represent the number of gray shirts and let B, W, and R represent the number of black, white, and brown shirts, respectively.

Given the information:

1. Set the equations for black and white shirts equal:

3G + 3 = 5G - 1

2. Simplify and solve for G:

3 + 1 = 5G - 3G

4 = 2G

G = 2

Thus, Joanie has 2 gray shirts.

Answer: Vertical symmetry

Step-by-step explanation: A vertical line divides the image into two halves. But it cannot be divided horizontally or diagonally so it is vertical symmetry.

Answer:

A. 2/3

Step-by-step explanation:

What you do is you reduce the fraction 14/21 to get 2/3 as your answer.

Answer:

A:2/3

Step-by-step explanation:

Answer:  [tex]x=2[/tex]

Step-by-step explanation:

To solve this exercise you must apply the Intersecting secan theorem.

Then, according to this theorem, you can know that:

[tex]EC*ED=EB*EA[/tex]

Therefore, you must substitute the values shown in the figure attached, as following:

[tex](x+4)(x+4+1)=(x+1)(x+1+11)[/tex]

Now you can solve for x, as you can see below:

[tex](x+4)(x+4+1)=(x+1)(x+1+11)\\\\(x+4)(x+5)=(x+1)(x+12)\\\\\\x^2+5x+4x+20=x^2+12x+x+12\\\\x^2+9x+20=x^2+13x+12\\x^2-x^2+9x-13x=12-20\\-4x=-8\\x=2[/tex]

To solve this take (83+1/3) times 10^-2 and then multiple that value by 375. The answer is 312.5

The answer is 311.25

Converting 83 1/3 to simple fraction we get

83 1/3 = 83

Now 83 % of 375 will be

83/100 * 375

= 311.25

12. Answer:  $9.50

Step-by-step explanation:

4 tickets plus 1 popcorn equals 44.25

    4t         +       1(6.25)       =       44.25

4t + 6.25 = 44.25

   -  6.25   -6.25     Subtraction Property of Equality

4t            = 38.00

÷4             ÷4           Division Property of Equality

t             = 9.50  

13. Answer:

Step-by-step explanation:

4.9x - 1.9 = 27.5

       +1.9    +1.9        Addition Property of Equality

4.9x         = 29.4

÷4.9           ÷4.9        Division Property of Equality

     x          =   6

GgAnswer:

Step-by-step explanation:

gg

Answer:

-1

Step-by-step explanation:

i just got it wrong

Answer:

Step-by-step explanation:

nah man. i dont get it either

I think all you gotta do is type the word two-way table, just like it says inside the box. But after looking at this for a while I think that the only thing you can do is that.

So I guess just type what it says inside the box

Each friend will get 37 water balloons, with 4 remaining.

To divide the 300 water balloons evenly among the 8 friends, we can use division. We divide 300 by 8 to find out how many water balloons each person will get. The quotient is 37 with a remainder of 4. So, each friend will get 37 water balloons, and there will be 4 remaining balloons.

https://brainly.com/question/2273245

#SPJ12

set f(x) equal to y

y = 5x + 4

swap x and y

x = 5y + 4

make y the subject

x - 4 = 5y

[tex]y = \frac{x - 4}{5} [/tex]

replace y with f^-1(x)

[tex]f(x) = \frac{x - 4}{5} [/tex]

Based on the inscribed isosceles triangle shown below, the measure of angle EFO is 62°.

In Euclidean Geometry, the measure of an intercepted arc is equal to the central angle of a circle. Based on the information provided above, the measure of arc FE is equal to 56°, so the measure of the central angle FOE must be equal to 56°.

By critically observing triangle FOE, we can logically deduce that it is an isosceles triangle with base FE because segments FO and EO represent the radii of circle O.

Since an isosceles triangle comprises two (2) side lengths that are equal and two (2) base interior angles that are congruent, we have:

FD = ED

m∠EFO ≅ m∠FEO

By applying triangle sum property to triangle FOE, we have;

m∠EFO + m∠FEO + mFE = 180°

2m∠EFO + m∠FE = 180°

2m∠EFO + 56° = 180°

m∠EFO = (180° - 56)/2

m∠EFO = 62°

Complete Question:

Given: circle k(O), m FE =56°, FD=ED, m∠EFD=76°

Find: m∠EFO

Answer: [tex]y=0[/tex]

Step-by-step explanation:

The given function is a rational function:

To solve the given problem you must keep on mind that:

-  An asymptote is define as a line that the graph of the function approaches but never touches.

- In rational functions, if the degree of the polynomial in the numerator is lower than the degree of the polynomial in the denominator, then  the horizontal asymptote is located at y=0.

In the given function, the degree of the polynomial in the numerator (which is 1) is lower than the degree of the polynomial in the denominator (whic h is 2). Therefore, the horizontal asymptote is located at [tex]y=0[/tex]

Answer:

x = 10.9

Step-by-step explanation:

Since the triangle is right, use the tangent ratio to find the value of x

tan36° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{x}{15}[/tex]

Multiply both sides by 15

15 × tan36° = x

⇒ x = 10.9 ( to nearest tenth )

Answer:

What is the value of x?

Enter your answer as a decimal to the nearest tenth in the box.

10.9 ft

Answer:

h(x) =  x - 5

set of all integers except 3

-∞ ≤ x ≤ ∞ and x ≠ 3

Step-by-step explanation:

Given the two equations in the question

Equation 1

f(x) = x² − 8x + 15

Equation 2

g(x) = x − 3

To find equation 3 that is h(x) we need to divide f(x) by g(x)

f(x) / g(x)

x² − 8x + 15 /  x − 3

By using quadratic factorisation  

(x-3)(x-5) / (x-3)

Cancel (x-3) from both numerator and denominator

h(x) = x-5

set of all integers except 3

-∞ ≤ x ≤ ∞ and x≠3

Answer:

first blank is x-5

second blank is -infinity, 3

third blank is 3, infinity

Check the picture below.

notice, both inscribed angles are intercepting the same arcQS.

Answer:

r=C

2π

Step-by-step explanation:

The answer is A.

29 + 39 < 69.

Answer:

x = 3

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠TRQ is an external angle and ∠RTS, ∠RST are interior angles, hence

45x = 25x + 57 + x

45x = 26x + 57 ( subtract 26x from both sides )

19x = 57 ( divide both sides by 19 )

x = 3

Answer:

x = 3

Step-by-step explanation:

We are given expression for measure of angles of two corners of a triangle, while for the third corner, we know the exterior angle.

We know that the sum of all three angles of a triangle is 180°.

So we can write it as:

[tex] 2 5 x + ( 5 7 + x ) + ( 1 8 0 - 4 5 x ) = 180 [/tex]

[tex]25x+x-45x=180-180-57[/tex]

[tex]-19x=-57[/tex]

[tex]x=\frac{-57}{-19}[/tex]

x = 3

Answer:C

Step-by-step explanation:9 times 12 equals 108

Answer:

(-4,-5)

Step-by-step explanation:

Just use the graph and follow the translation.

Answer:

7

Step-by-step explanation:

Since these two points are straight left and right from each other it's really easy.  Think of it as just moving so many spaces left or right on the x axis.  We are moving from point (-5,5) along the line y=5 to the point (2,5), which is moving 7 units.

1120cm^3+800cm^3

ans

=1920cm^3

Answer:

Volume of the cuboid = 1120cm³

Step-by-step explanation:

The question is incomplete and incorrect. Here is the complete and correct question.

"Find the volume of cuboid measuring 14cm, 10 cm and 8cm"

The volume of a cuboid = Length × breadth × Height.

Given Length = 14cm

Breadth = 10cm

Height = 8cm

Volume of the cuboid = 14cm × 10cm × 8cm

Volume of the cuboid = 1120cm³

Answer:

the first square that equals 625 goes to the 125 box

the second square that equals 81 goes to the 243 box

the third square that equals 32 goes to the 8 box

and the fourth square that equals 64 goes to the 256 box

Hope this helped :)

Step-by-step explanation:

Answer:

it is 32 and 7 over 15

Step-by-step explanation:

because when u add 14 and 18 u get 32 and then you add your numerator and your denimator so u will see that it is 32 and 7 over 15

The sum of 14 5/6 and 18 2/9 is 33 1/18, after adding the whole numbers and fractions separately and simplifying.

To find the sum of 14 5/6 and 18 2/9, we must first add the whole numbers and then the fractions separately. The whole numbers add up to 14 + 18, which is 32. To add the fractions 5/6 and 2/9, we need a common denominator, which is 54. Now converting the fractions we get (45/54) + (12/54). Adding these gives us 57/54, which is equal to 1 3/54 or reduced to its lowest terms, 1 1/18. Adding this to the sum of the whole numbers we get 32 + 1 1/18, which equals 33 1/18.

Answer:

Explanation:

x = [tex]\frac{105}{5}[/tex] = 21 degree will be the answer.

{The sum of angle of opposite circumscribed quadrilateral in circle is 180°}

Answer:

In a cyclic Quadrilateral , sum of opposite pair of interior angles are Supplementary.

So, ∠A + ∠C=180°

And, ∠B + ∠D=180°

We have to find the value of x.

So, we will use the equation

∠B + ∠D=180°

→5 x +75° =180°

5 x= 180° - 75°

5 x= 105°

Dividing both side by , 5 we get

x=21°

Option C

Answer:

11 days

Step-by-step explanation:

Answer:

The initial temperature is 80 °F.

The final termperature is 20°F.

During this period, fell 60 °F which represents a percentage of

[tex]\frac{60}{80} \times 100= 75\%[/tex]

We repeat the process for the rest.

From -13 °F to 9 °F, the temperature arose 22 °F, which is equivalent to

[tex]\frac{22}{13} \times 100= 169.23 \%[/tex]

From -5 °F to 8 °F, the temperature fell 13 °F, which is equivalent to

[tex]\frac{13}{5} \times 100= 260 \%[/tex]

Answer:

They are all squared

Step-by-step explanation:

Answer:

All the powers have value of 0 because the exponent is zero

Step-by-step explanation:

Given the expression;

in the form 2³ ; The number 2 is called the base, and the number 3 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.

In this case; All the powers have a value of Zero because the exponent of all the expressions is zero.

Answer:

Option B. [tex]R(2,4)[/tex]

Step-by-step explanation:

we know that

If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle

step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

where

r is the radius of the circle

(h,k) is the center of the circle

substitute the values

[tex](x-6)^{2}+(y-1)^{2}=5^{2}[/tex]

[tex](x-6)^{2}+(y-1)^{2}=25[/tex]

step 2

Verify each case

case A) [tex]Q(1, 11)[/tex]

substitute the value of [tex]x=1, y=11[/tex] in the equation of the circle and then compare the results

[tex](1-6)^{2}+(11-1)^{2}=25[/tex]

[tex]25+100=25[/tex] ------> is not true

therefore

the ordered pair Q not lie on the circle

case B) [tex]R(2,4)[/tex]

substitute the value of [tex]x=2, y=4[/tex] in the equation of the circle and then compare the results

[tex](2-6)^{2}+(4-1)^{2}=25[/tex]

[tex]16+9=25[/tex] ------> is true

therefore

the ordered pair R lie on the circle

case C) [tex]S(4,-4)[/tex]

substitute the value of [tex]x=4, y=-4[/tex] in the equation of the circle and then compare the results

[tex](4-6)^{2}+(-4-1)^{2}=25[/tex]

[tex]4+25=25[/tex] ------> is not true

therefore

the ordered pair S not lie on the circle

case D) [tex]T(9,-2)[/tex]

substitute the value of [tex]x=4, y=-4[/tex] in the equation of the circle and then compare the results

[tex](9-6)^{2}+(-2-1)^{2}=25[/tex]

[tex]9+9=25[/tex] ------> is not true

therefore

the ordered pair T not lie on the circle