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3 years ago

Suppose HIJK is a parallelogram. Find the value of x and y.

Mathematics

2 answers:

Kryger [21]3 years ago

6 0

Answer:

x = 90, y = 12

Step-by-step explanation:

The key to this problem is the fact that <u>opposite sides of a parallelogram are congruent</u> (their lengths are equal).

Set up and solve two equations, one for x and one for y.

x + 80 = 2x - 10

80 = x - 10

90 = x

--------------------------

3y - 4 = y + 20

2y - 4 = 20

2y = 24

y = 12

solmaris [256]3 years ago

5 0

Answer is x= 90 y=12

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If the side length is 6. cm, then the area is ______cm2 ?

ArbitrLikvidat [17]

Answer:

36 cm2

Step-by-step explanation:

tep-by-Step:

Start with the formula:

Area = a2

Don't forget: a2 = a × a (a squared).

Substitute the side length into the formula. In our example, a = 6.

Area = 6^2 = 6 × 6 = 36 cm2

Answer:

The area of the square with sides of length 6 cm is 36 cm2.

8 0

3 years ago

I don’t understand need help

RideAnS [48]

Answer: Choice D

(a-e)/f

=======================================

Explanation:

Points D and B are at locations (e,f) and (a,0) respectively.

Find the slope of line DB to get

m = (y2-y1)/(x2-x1)

m = (0-f)/(a-e)

m = -f/(a-e)

This is the slope of line DB. We want the perpendicular slope to this line. So we'll flip the fraction to get -(a-e)/f and then flip the sign from negative to positive. That leads to the final answer (a-e)/f.

Another example would be an original slope of -2/5 has a perpendicular slope of 5/2. Notice how the two slopes -2/5 and 5/2 multiply to -1. This is true of any pair of perpendicular lines where neither line is vertical.

8 0

3 years ago

A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 fe

Vanyuwa [196]

The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches

The dimension of the mirror is given as:

$Height = 24\ in$

$Width = 28\ in$

From the center of the mirror to the floor of the wall, the distance is:

$Distance =5\frac14\ ft$

So, the distance to the top of the mirror will be:

$Top = 5\frac 14\ ft + \frac 12 \times Height$

Substitute 24 for height

$Top = 5\frac 14\ ft+ \frac 12 \times 24\ in$

$Top = 5\frac 14\ ft+ 12 \ in$

Convert feet to inches

$Top = 5\frac 14\times 12\ in+ 12 \ in$

$Top = 63\ in+ 12 \ in$

$Top = 75 \ in$

The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.

So, we have:

$Distance = 8\ ft - 75\ in$

Convert feet to inches

$Distance = 8\times 12\ in - 75\ in$

$Distance = 96\ in - 75\ in$

$Distance = 21\ in$

Hence, the distance is 21 inches

Read more about lengths at:

brainly.com/question/10545161

3 0

2 years ago

A jeweler is making a triangular pendant. He has two sides of length 23 mm and 31 mm. What are the

denis-greek [22]

Answer:

38.60mm

Step-by-step explanation:

Step one:

Given data

We are given that the dimension of the triangles are length 23 mm and 31 mm

Let us assume that the triangle is a right angle triangle

Step two:

Applying the Pythagoras theorem we can find the third as

$z^2= x^2+y^2\\\\z^2= 31^2+23^2\\\\z^2= 961+529\\\\z^2= 1490\\\\$

square both sides

z= √ 1490

z= 38.60mm

Hence a possible dimension of the third side is 38.60mm

3 0

3 years ago

Question 6<br> Find the slope of the line passing through the points (11,-5) and (11,6)

zimovet [89]

There are two ways to approach this.

Option #1:

Use the slope formula $m = \dfrac{y_2-y_1}{x_2-x_1}$ .

$m= \dfrac{6-(-5)}{11-11} = \dfrac{11}{0}$

That value is undefined, so the slope is undefined.

Option #2:

Because the two points have the same x-value, they will be vertically above/below one another. This means your line is a vertical line and the slope of a vertical line is undefined.

Either way, your slope is undefined.

3 0

3 years ago