In the isosceles trapezoid, m∠S=68∘ .

What is m∠Q ?

Answer:

Please find attached the required flow chart proof created using Microsoft Visio

Step-by-step explanation:

The given parameters are;

[tex]\overline {BD}[/tex] bisects ∠ADC and ∠ABC

Required to proof that ΔABD ≅ ΔCBD

The two column proof is given as follows;

Statement                [tex]{}[/tex]            Reason

[tex]\overline {BD}[/tex] bisects ∠ADC    [tex]{}[/tex]           Given

∠ADB ≅ ∠CDB    [tex]{}[/tex]                Definition of angle bisector

[tex]\overline {BD}[/tex] bisects ∠ABC    [tex]{}[/tex]           Given

∠ABD ≅ ∠CBD    [tex]{}[/tex]                Definition of angle bisector

[tex]\overline {BD}[/tex] ≅ [tex]\overline {BD}[/tex]            [tex]{}[/tex]                Reflexive Property

ΔABD ≅ ΔCDB    [tex]{}[/tex]                ASA

The Angle-Side-Angle ASA, ASA, congruency postulate, states that if two angles and the included side of one triangle is congruent to two angles and the included side of another triangle, then the two angles are congruent.

Answer:

10 hours

$43

Step-by-step explanation:

Given that:

Jonny:

Shoe rental = $13

Fee per hour = $3

Dustin :

Shoe rental = $3

Fee per hour = $4

Number of hours bowled is the same

Let number of hours bowled = x

$13 + 3x = $3 + 4x

3x - 4x = $3 - $13

-x = - 10

x = 10

Number of hours each bowled = 10

Amount spent :

Jonny:

$13 + 3x = $13 + $3(10) = $13 + $30 = $43

Dustin :

$3 + 4x = $3 + $4(10) = $3 + $40 = $43

Answer:

Concept: Geometric Identities

Answer:

I think it is 2

Step-by-step explanation:

Answer:

$40 in euros!

Step-by-step explanation:

Answer:

the first one is b= 52

the second one is b= 63

Answer:

64 adult tickets were sold and 36 children tickets were sold

Step-by-step explanation:

i created two equations. 7A + 4C = 592 and A + C = 100. A stands for adult tickets and C stands for children tickets. in order to find the value of C, the children tickets, i took the second equation, A + C = 100, and subtracted A on both sides to get C = -A + 100. i then plugged the value of c into the first equation i created. i then got 7A + 4(-A+100) = 592. after that, i distributed the 4 into the parentheses and got 7A - 4A + 400 = 592. from there, you solve and get 3A = 192. divide 3 from both sides, and get the value of A = 64. then, you go back to the second equation, A + C = 100, and plug in your value of A to get 64 + C = 100. you can then go on to solve for C and get 36. your final answer is 64 adult tickets and 36 children tickets were sold.

Answer: C Because Radians Are Rotations 1 Radian is 360 Degrees

Step-by-step explanation:

Answer:

The length of the straw is 13.53 cm

Step-by-step explanation:

Rectangular Prism

A rectangular prism or cuboid is a box-shaped object. It has six flat faces and all angles are right angles. And all of its faces are rectangles.

If the straw must reach into the diagonally opposite corners of the base of the carton, then its minimum length is calculated by:

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

Where a,b, and c are the dimensions of the cuboid. The image shows the dimensions of the drink carton: a=6 cm, b=10 cm, c=4 cm (order is not important), thus:

[tex]d^2= 6^2+10^2+4^2=36+100+16=152[/tex]

[tex]d=\sqrt{152}[/tex]

d= 12.33 cm

The straw must stick out of the carton by an additional 1.5 cm, thus the total length of the straw is: 12.33 + 1.5 = 13.53 cm

Answer:

the answer is right above me

Answer:

The table will be:

x            y = 2x²         y = 2ˣ

0            0                   1

1             2                  2

2             8                  4

Step-by-step explanation:

Given the non-linear  equations

y = 2x²

y = 2ˣ

y = 2x²                              

y = 2(0)² =0

y = 2ˣ

y = 2⁰ = 1

y = 2x²                              

y = 2(1)² = 2

y = 2ˣ

y = 2¹ = 2

y = 2x²                              

y = 2(2)² = 8

y = 2ˣ

y = 2² = 4

Thus, the table will be:

x            y = 2x²         y = 2ˣ

0            0                   1

1             2                  2

2             8                  4

Answer:

0.75x=36

x=48

You need to sell 48 newspapers.

Step-by-step explanation:

0.75x=36

Divide both sides by 0.75 to isolate the variable x.

36÷0.75=48

x=48

Check your answer

48 × 0.75 = 36

Answer:

[tex]54[/tex]

Step-by-step explanation:

[tex]Let\ the\ first\ digit\ of\ the\ two\ digit\ number\ be\ a\\Let\ the\ second\ digit\ of\ the\ two\ digit\ number\ be\ b\\Hence,\\We\ are\ given\ that,\\a+b=9\\Hence,\\b=(9-a)\\As\ we\ know\ that,\\The\ original\ number\ containing\ 2-digits\ can\ be\ written\ as: 10a+b\\Hence,\\The\ original\ number=10a+(9-a)\\The\ original\ number=9a+9\\\\[/tex]

[tex]Now,\\Lets\ consider\ the\ reversed\ number\ with\ the\ reversed\ digits\ of\ the\\ original\ number.\\Hence,\\Reversed\ number\ containing\ reversed\ digits\ can\ be\ written\ as:10b+a\\Hence,\\Reversed\ number=10b+a\\Reversed\ number=10(9-a)+a=90-10a+a=90-9a\\[/tex]

[tex]Now,\\We\ are\ given\ that,\\Original\ Number-9=Reversed\ number\\Or,\\Original\ Number-Reversed\ number=9\\Hence,\\9a+9-(90-9a)=9\\9a+9-90+9a=9\\18a=90\\a=\frac{90}{18}=5[/tex]

[tex]As\ a=5, b=(9-5)=4\\Hence,\\The\ original\ number=10a+b=10*5+4=50+4=54[/tex]

Answer:

[tex]\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}[/tex]

ꜰɪʀꜱᴛ ᴡᴇ ᴡʀɪᴛᴇ ᴛʜᴇ ɢɪᴠᴇɴ↴

⇒WIDTH = Y cm

⇒LENGTH =( y+2 )cm

⇒PERIMETER = 32cm

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

solution ↴

perimeter of rectangle = 2 ( length + width)

[tex]32cm = 2( (y +2) +y )cm \\ \frac{32}{2} cm = 2y + 2cm \\ 16cm = 2y - 2cm \\ 16 cm- 2 cm=2y\\ 14cm = 2y \\ y = \frac{14cm}{2} \\ y = 7cm

[/tex]

☛ so the width of the rectangle is 7cm

so we all done :D

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Answer:

9 1/3

Step-by-step explanation:

this is what i think and i hope im right

Answer:

11 1/5

Step-by-step explanation:

You can do 56 divided by 5 to answer this.

56 / 5 = 11 and 1/5

11 1/5

Answer:

0.156

Step-by-step explanation:

Answer:

5/32

Step-by-step explanation:

[tex] \frac{5}{8} \div 4 \\ \\ = \frac{5}{8} \times \frac{1}{4} \\ \\ = \frac{5 \times 1}{8 \times 4} \\ \\ = \frac{5}{32} [/tex]

Answer:

A and B are functions but C is not

Step-by-step explanation:

a  function has one y value to every x value.

Answer:

1.6962 = 1.70 (2 dp)

0.4247 = 0.425 to 3 dp

0.007395 = 0.007 to 3 dp

0.007395 = 0.0074 to 4 dp

32549 = 32500 to 3 significant figures

32549 = 32550 to 4 significant figures

909520 = 910000 to 3 significant figures

909520 = 909500 to 4 significant figures

Step-by-step explanation:

1.6962 = 1.70 (2 dp)

0.4247 = 0.425 to 3 dp

0.007395 = 0.007 to 3 dp

0.007395 = 0.0074 to 4 dp

32549 = 32500 to 3 significant figures

32549 = 32550 to 4 significant figures

909520 = 910000 to 3 significant figures

909520 = 909500 to 4 significant figures

Answer:

1. 1 5/7

2. 2/15

Step-by-step explanation:

1. 4/1 × 3/7= 4 times 3, 1 times 7 = 12= 1 5/7

2. 2/9 × 3/5= 2 times 3, 9 times 5= 6/45= 2/15

Answer:

The value of the car will be x - (0.15)x after a year.

Step-by-step explanation:

The car was 15% more when it first came out, and the price went down by 15% after a year.

Therefore, to solve this problem, we need to multiply 0.15 by the initial cost, which will tell you how much the car price decreased.

Then, we need to subtract this amount from x, or the initial cost, in order to find how much the car will be worth after a year.

Therefore, the value of the car will be x - (0.15)x after a year.

Hope this helps! :D

Answer:

1.345

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer  

1,863.5

Step-by-step explanation: add 165.85 +20.50 =186.35 the do 186.35 x 10 =1,863.5

Answer:

f(5) = 3

Step-by-step explanation:

f(x) is the y coordinate at x.

At x = 5, y = 3, so f(5) = 3.

Answer:

I got x=2

Step-by-step explanation:

1. Simplify the quadratic equation into its standard form

More Icon

Ax^2 +Bxc=0

Simplify the equation by subtracting everything to the right of the equal sign from both sides of the equation and combining like terms.

x^2-12x+0=-20

x^2-12x+0+20=0

x^2-12x+20=0

The Quadratic formula provides the solution for Ax^2 +Bxc=0, in which A, B, and C are numbers (or coefficients), as follows:

The coefficients of our equation, x^2-12x+20=0, are:

A = 1

B = -12

C = 20

Simplify 64 by finding its prime factors.

We first calculate the expressions inside the parentheses from left to right and from inner to outer.

x=12-8/2

x=4/2

x=2

Answer: C)2

Step-by-step explanation:

BECAUSE IT IS YASS BESTIEEEEE

Answer:

1 + 1 = 2 because this is literally the first thing you get taught when in kindergarten math.

take one finger, and then another finger, and it makes two fingers :)

im guessing 12

and if you dig a 6 feet deep hole its 6 feet

Answer:

a = 8

Bottom and top length are 68

left and right are 28

Step-by-step explanation:

6a + 20 = a + 60 (same length do to the little tick marks)

5a = 40 (subtract 1a from both sides and 20 from both sides)

a = 8 (Divide)

Answer: A = 8

Step-by-step explanation:

Since Side BC and AD are equal

then we can plug both equations to each other to find A

6a + 20 = a + 60

solve it

6a + 20 = a + 60

    - 20        -20

6a = a + 40

-a     -a

5a = 40

a = 8

You can now find the length of all sides :)