02:Posttest 2: Fractions
6.
Order the numbers from least to greatest.
63
11
3
3
80 5 20
35

Answer:

m<c = 104°

m<d = 80°

Step-by-step explanation:

Recall: Opposite angles of a cyclic quadrilateral are supplementary. Therefore, their sum equals 180°. Thus:

m<c + 76° = 180°

m<c + 76° - 76° = 180° - 76° (subtraction property of equality)

m<c = 104°

m<d + 100° = 180°

m<d +100° - 100° = 180° - 100° (subtraction property of equality)

m<d = 80°

Explanation:

We use the intersecting chords theorem here.

This is the idea where multiplying the pieces of each chord lead to the same product

6*x = 5*12

6x = 60

x = 60/6

x = 10

Answer:

C.) 10

Step-by-step explanation:

I got it correct on founders edtell

Answer:

4y+2x ≤ -1

(5,-3)

4x(-3)+2×(5) ≤ -1

-12+10≤ -1

-2 ≤ -1

A) 4y+2x ≤ -1

~OAmalOHopeO

Answer:

DEF = 105

Step-by-step explanation:

The sum of the angles of a triangle is 180

28+47+DEF = 180

Combine like terms

DEF+75=180

Subtract 75 from each side

DEF +75-75 =180-75

DEF = 105

Answer: D

Step-by-step explanation: The answer is D because firstly we know that all right triangles add up to 180 degrees.

Using this knowledge we know 2 sides out of the 3. Therefore 47+28+x=180. Then we would add the first 2 numbers then minus 180 to get 105 as your last angle.

Answer:

D. II & III

Step-by-step explanation:

II  (x - 4)(2x + 9)  = 2x² + x - 36

III (x - 4)(x - 6) = x²- 10x + 24

I has factors (x + 4)(x - 8)

IV has factors x(x - 16)

Answer:

-24.5 or 7i or -71 (see below)

Step-by-step explanation:

Im gonna guess that you mean (22-16)(2x+49)=0

Therefore, since one of the brackets must be equal to 0 and 22-16 is 6, 2x+49=0 so x is -24.5

However, if you meant (22-16)(x^2+49)=0

then x^2+49=0 so x^2 =-49

Therefore, the answer is complex and therefore 7i or -7i

Answer:

Step-by-step explanation:

I hope these are people in vehicles travelling toward each other.

80 mh * t + 40 mph * t = 420 miles

The two vehicles are going to travel a total of 420 miles. B will cover a lot more ground than A, but together they will make 420 miles

80t + 40t = 420

120t = 420

t = 420/120

t = 3.5

So after driving 3.5 hours, the two cars will meet.

Answer:

x = 3

Step-by-step explanation:

All the angles of a square are 90°

The diagonals bisect the angles , then

5x² = 45 ( divide both sides by 5 )

x² = 9 ( take the square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

Hope this helps!

There are 3 images with full explanation

Answer:

2

Step-by-step explanation:

x-2x÷2=20

x-x=20

0=30

no solution

Answer:

A. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

x               -2              -1                 0                    1                   2

y               10            2.5                0                  2.5                3.0

Ist difference,

    = -2.5

   = 2.5

   = 7.5

2nd difference,

    = 5

   = 5

   = 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

Answer:

The answer is 43.52 you're welcome

Answer:

-8x² - 106x + 175 = 0

Step-by-step explanation:

Given:

(2x - 7)²- 6(2x - 7)(x-3) = 0

Find:

Solution of the following explanation

Computation:

(2x - 7)²- 6(2x - 7)(x-3) = 0

[(2x)² + (7)² - (2)(2x)(7)] - (12x - 42)(x-3) = 0

[4x² + 49 - 28x] - [12x² - 36x - 42x + 126] = 0

[4x² + 49 - 28x] - [12x² - 78x + 126] = 0

-8x² - 106x + 175 = 0

Answer:

Step-by-step explanation:

bearing is the angle which a line makes with the north.

Answer:

x=17

Step-by-step explanation:

3x-15=20+16

3x-15=36

3x=36+15

3x=51

x=17

Answer:

If its supposed to be simplify it will be -7 . If your finding the derivative it is 0.

Step-by-step explanation:

Hi there!

Looking at the graph, the first intersection point is clear. The red parabola and  blue line clearing intersect at the point (0, -1).

Find the second intersection point by setting the equations of both graphs equal to each other.

Line: y = 3x - 1

Parabola: y = 4x² - 1

Find another intersection point by setting these two equations equal to each other:

4x² - 1 = 3x - 1

Bring all terms onto one side:

4x² - 3x = 0

Factor out x:

x(4x - 3) = 0

Set 4x - 3 to 0 and solve:

4x - 3 = 0

4x = 3

x = 3/4

Plug in this value of x into an equation to solve for the y-coordinate. Use the linear equation for ease:

y = 3(3/4) - 1

y = 9/4 - 1

y = 5/4

(3/4, 5/4)

Answer:

$3.20 / kg

Step-by-step explanation:

$1.44 / pound

so, this is normed to 1 pound = 0.45 kg.

now we want to transform that to have 1 kg as the norming unit.

for this we need to multiply the top and the bottom of the ratio with the same number, so that the value of the ratio remains unchanged, but that the bottom turns into 1 kg.

so, what do we need to turn 0.45 into 1 ?

0.45 × x = 1

x = 1/0.45 = 1/1 / 45/100 = 100/45 = 20/9 = 2.22222...

since we need to multiply top and bottom with the same factor, we get

(1.44/0.45) × (2.222222/2.222222) =

(1.44 × 2.222222) / (0.45×2.222222) =

(1.44 × 2.222222) / 1kg = $3.20 / kg

the answer is number 4 or d

Answer: The answer is C. 4

Step-by-step explanation:

(0,0) and (4,16)

(y1-y2)/(x1-x2)

0-16/0-4=16/4=4

Answer:

the answer is 6

Step-by-step explanation:

3×2-0×2=6

Answer:

1) 6а-9b=3(2a-3b)

2)8a-12b=4(2a-3b)

3) 5ab-5ac=5a(b-c)

4) 6ax+6ay=6a(x+y)

Answer:

Step-by-step explanation:

Given,

l || m

Therefore,

142° + (3x+8)° = 180° [Since Co-exterior angles]

=> 3x + 8 = 180 - 142

=> 3x + 8 = 38

=> 3x = 38 - 8

=> 3x = 30

[tex] = > x = \frac{30}{3} [/tex]

=> x = 10 (Ans)

Step-by-step explanation:

it is simple.

there is a constant speaking time of 25 minutes.

the duration of the meeting is the speaking time plus the question answering time.

so,

q = 1 means t = 25 + 1 = 26

q = 2 means t = 25 + 2 = 27

q = 3 means t = 25 + 3 = 28

q = 8 means t = 25 + 8 = 33

Answer:

3√3 + √6 is the answer. so none is correct.

Step-by-step explanation:

= 3√3 + √6 + √12 - 2√3

= 3√3 + √6 + √4 X 3 - 2√3

= 3√3 + √6 + 2√3 - 2√3

= 3√3 + √6

Answer:

900 is the correct awnser

For a regular polygon with n sides, interior angle

= [(n-2) × 180°]/n

So, interior angle of this regular heptagon shape

= [(7 - 2) × 180°]/7

= (5 × 180°)/7

= 900°/7

= (900/7)°

= 128.571° [approximately]

Answer:

hello,

Step-by-step explanation:

center angle : 360°/7 °

half interior angle=0.5*(180-360/7)=900/14=450/7 = 64 ° +2/7° ≈64.3 °

interior angle= 128°+4/7°≈128.6 °

Answer:

3136 = 2^6 × 7^2

2744 = 2^3 x 7^3

✓3136/3✓2744​ = ✓(2^6 × 7^2)/3✓(2^3 x 7^3) = (2^3 x 7)/3 x 14(✓14) = 56/42✓14 =4/3✓14

Answer:

n=4

Step-by-step explanation:

3n - (2+n) = 6

Distribute the minus sign

3n -2-n = 6

Combine like terms

2n-2 =6

Add 2 to each side

2n-2+2 = 6+2

2n = 8

Divide by 2

2n/2 = 8/2

n=4

Answer:

b, c, d

Step-by-step explanation: