(Picture Attached)20 Pts:

Which of the following completes the proof? (6 points)

By the midpoint formula

By definition of congruence

Given

By construction

Answers

Answer 1

Answer: by the mid point formula is my best guess

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A furniture maker uses the specification 21.88< or = w

Graph the line with slope 1/3

passing through the point (-2, 5).

Answers

Answer:

y = 1/3x + 17/3

Step-by-step explanation:

Required answer: Below

Detailed explanation:

Let's find the equation of the line first.

We know that the line:

has a slope of 1/3
passes through (-2,5)

So, we use these pieces of information and plug them into the formula:

$\bf{y-y_1=m(x-x_1)}$

$\bf{y-5=(1)/(3)(x-(-2)}$

$\bf{y-5=(1)/(3)(x+2)}$

Now let's graph it.

What is the perimeter of parallelogram LMNO?

Answers

Answer

80 cm

Explanation

For all parallelogram the opposites sides are parallel and equal in length.

∴ LO = 18 cm

ON = 22 cm

Perimeter is the distance all round a figure.

∴ Perimeter = 22 + 18 + 22 + 18

= 80 cm

80 cm should be your answer

Find the sum: (3x2 + 5x − 8) + (5x2 − 13x − 5)8x2 + 8x − 13
8x2 − 8x + 13
8x2 − 8x − 13
8x2 − x − 13

Answers

the third one is true

good luck

(3x^2 + 5x − 8) + (5x^2 − 13x − 5)

3x^2 + 5x − 8
+ 5x^2 − 13x − 5
----------------------------
8x^2 - 8x - 13

The answer is choice C: 8x^2 − 8x − 13

Remy has $150 to spend on party supplies. She spends $75.50 on decorations and various other supplies. She spent the remaining money to order invitations. If she invited 20 people to her party, how much was the cost to print each invitation?

Answers

Answer:

the cost to price of each invitation is $3.725

Step-by-step explanation:

Given that

On party supplies she incurred $150

For decorations and various other supplies she incurred $75.50

The remaining amount i.e.

= $150 - $75.50

= $74.50

This amount would be incurred for the invitations

Now she invited 20 people

SO the cost to price of each invitation is

= $74.50 ÷ 20 people

= $3.725

Hence, the cost to price of each invitation is $3.725

What is the selling price of a table ticketed at $1,234 with a 22% discount?A. $271.48
B. $962.52
C. $926.25
D. $1,000.00

Answers

Multiply $1,234 by 0.22 to find how much money you will be saving:

$1,234 x 0.22 = $271.48

Now, subtract this from the actual price to find the selling price:

$1,234 - $271.48 = $962.52

The selling price is B. $962.52

Answer:

Step-by-step explanation:

The selling price of a table ticketed at $1,234 with a 22% discount is $962.52. $1,234 x 0.22 = $271.48 $1,234 - $271.48 = $962.52

(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12. The other factors are ___, ___, and ___.

Answers

The all other 3 factors of the equation x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3).

What are the roots of an equation?

Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

Given the equation,

x⁴ + 2x³ − 7x² − 8x + 12

If (x - 2) is a factor of the equation then it should be divisible by it.

So,

(x⁴ + 2x³ − 7x² − 8x + 12) / (x - 2) = (x³ + 4x² + x - 6)

Now divide by (x - 1) of (x³ + 4x² + x - 6)

(x³ + 4x² + x - 6) / (x - 1) = x² + 5x + 6

So,

⇒ (x - 2)(x - 1)(x² + 5x + 6)

⇒ (x - 2)(x - 1)( x² + 2x + 3x + 6)

⇒ (x - 2)(x - 1)[ x(x + 2) + 3(x + 2) ]