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2 years ago

PLEASE HELP ASAP!

Mathematics

1 answer:

Ann [662]2 years ago

3 0

A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other.

<h3>What is a Rhombus?</h3>

A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other.

Given the diagonal MO divides the rhombus LMNO, is two isosceles triangles, therefore, ΔLMO and ΔMNO.

Since the triangles are isosceles triangles two of the sides of the triangle will be of the same length. Therefore,

In ΔLMO

LM = LO

In ΔMNO

MN = ON

since it is the property of the rhombus that the length of its adjacent sides is equal, therefore, the LMNO is a rhombus.

Learn more about Rhombus:

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10 pts The equation y=mx + b goes through the points (6,-2) and (-6, -8). What is the value of m? (-6,-8) What is the value of b

Fed [463]

Answer: m=1/2; b=-5

Step-by-step explanation:

We can use the given points to find slope, then use the y=mx+b equation to find the y-intercept. The formula for slope is $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ .

$m=\frac{-8-(-2)}{-6-6}=\frac{-6}{-12} =\frac{1}{2}$

Now that we know m=1/2, we can use that in y=mx+b to find the y-intercept. We can use any given point to plug into x and y.

y=1/2x+b [plug in x and y]

-2=1/2(6)+b [multiply]

-2=3+b [subtract both sides by 3]

b=-5

Now, we know that b=-5.

3 0

3 years ago

Due to a slump in the economy a mutual fund has dropped by 30% from last year to this year. If the fund is now worth $13,902, ho

Sliva [168]

Answer: The Fund last year was 19,860

Step-by-step explanation:

Just set up a ratio using 70 over 13902 and set it equal to 100 over x and cross multiply to get x = 19,860

6 0

3 years ago

A human factors expert recommends that there be at least 9 square feet of floor space in a college classroom for every student i

matrenka [14]

Answer:

864 sq ft

Step-by-step explanation:

Given that a human factors expert recommends that there be at least 9 square feet of floor space in a college classroom for every student in the class.

The number of students in the class = 96

For 1 student space required = 9 sq ft

For 96 students =?

This is a question of direct variation since when number of students increase space required also would increase.

Hence we get the minimum floor space that 96 students require.

=96*9

=864 sq ft

5 0

3 years ago

In rectangle PQRS, SP = 7 and PR = 25.<br> what is PQ?

TiliK225 [7]

In rectangle PQRS, the value of PQ = 24, if the value of SP = 7 and the value of PR = 25.

Step-by-step explanation:

The given is,

Rectangle PQRS,

SP = 7

PR = 25

Step:1

Formula for calculation of diagonal of rectangle is,

$d^{2} = w^{2} +l^{2}$ .....................(1)

Where, d - Diagonal of rectangle

w - Width of the rectangle

l - Length of the rectangle

From the given value,

Ref the attachment.

PR = d = 25

SP = w = 7

Let, x - Length of rectangle

PQ = l = x

Equation (1) becomes,

$25^{2} = 7^{2} + x^{2}$

$x^{2} = 25^{2} -7^{2}$

$x^{2} = 625-49$

$x^{2} = 576$

Take square root on both side,

$x =\sqrt{576}$

= 24

x = 24

PQ = x = 24

Result:

In rectangle PQRS, the value of PQ = 24, if the value of SP = 7 and the value of PR = 25.

3 0

3 years ago

Is the following function?<br><br> Yes Or no

kenny6666 [7]

Answer:

False

Step-by-step explanation:

The Following is not a function because each input(X-Value) has more than one output(Y-Value), which violates the law of functions. The Law of Functions is that Inputs can only have one unique output.

3 0

4 years ago