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2 years ago

Given: KLMN is a trapezoid, KL=MN,

Mathematics

1 answer:

sp2606 [1]2 years ago

6 0

<h3>Answer:</h3>

∠K = ∠N = 60°

∠L = ∠M = 120°

<h3>Step-by-step explanation:</h3>

In the attached, we have renamed F to G so Brainly will let us talk about it more easily. We have also added altitude MX.

AG is also a midsegment of ΔKLM, so LM = 2×AG = 4. Then ...

... NX = AB - LM = 7 -4 = 3

and we have right ΔMXN with hypotenuse 6 and leg 3. This is recognizable as a 30°-60°-90° triangle, with the 60° angle at N.

The angle at M is supplementary to that at N (because LM ║ KN), so measures 120°

The trapezoid is isosceles, so angles K and L have the same measures as angles N and M.

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Jenna concludes that (4,9) is the solution to the system of these two equations. which of the following justifies her conclusion

nalin [4]

Answer:

a. The point (4,9) appears in both tables

Explanation:

Note: This question can be solved without the need of the tables

A solution of a system of equations is defined as a point (or set of points) that satisfy both equations

This means that, this point should belong to all the equations in the system

Now, a table is used to show a set of points that belong to a certain line

This means that, all vales in the table belong to the line they represent

Since the point (4,9) appears in both tables, therefore, it belongs to both lines and, therefore, is a solution to the system of equations consisting of these two lines

Hope this helps :)

5 0

2 years ago

Which number line models the expression 1/8-(-3/4)

RideAnS [48]

Answer:

$\frac{7}{8}$

Step-by-step explanation:

Given: $\frac{1}{8}-(\frac{-3}{4} )$

To find: number which represents the expression

Solution:

Integers refers to natural numbers, 0 together with negative of rational numbers.

A rational number is the number of the form $\frac{p}{q}$ where p and q are integers and $q\neq 0$ .

$\frac{1}{8}-(\frac{-3}{4} )=\frac{1}{8}+\frac{3}{4}\\ =\frac{1+6}{8}\\ =\frac{7}{8}$

So, $\frac{7}{8}$ represents $\frac{1}{8}-(\frac{-3}{4} )$

6 0

2 years ago

True or false the ordered pair of x-intercept has a zero for the x-value

Artyom0805 [142]

X-intercept has coordinates (x,0)
Y-intercept has coordinates (0,y)
So, the statement " The ordered pair of x-intercept has a zero for the x-value" is false.
 The ordered pair of x-intercept has a zero for the y-value.

6 0

2 years ago

What is the following quotient? StartFraction 1 Over 1 + StartRoot 3 EndRoot EndFraction StartFraction StartRoot 3 EndRoot Over

Tems11 [23]

Answer:

D. StartFraction negative 1 + StartRoot 3 EndRoot Over 2 EndFraction

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator. Then the denominator is the difference of squares, which will be rational. This simplification is called "rationalizing the denominator."

$\dfrac{1}{1+\sqrt{3}}=\dfrac{1}{1+\sqrt{3}}\cdot\dfrac{1-\sqrt{3}}{1-\sqrt{3}}=\dfrac{1-\sqrt{3}}{1^2-(\sqrt{3})^2}\\\\=\dfrac{1-\sqrt{3}}{-2}=\boxed{\dfrac{-1+\sqrt{3}}{2}}$

6 0

2 years ago

Read 2 more answers

The combined ages of a dog and his owner are 96 years in total. The owner is 3 times older than his dog. How old is the owner?

nikitadnepr [17]

Answer:

72 yrs old.

Step-by-step explanation:

The combined age

D+O=96

The owner is 3 times older than dog

O=3D

D+3D=96

4D = 96

D= 24

Now substitute the value of D in O=3D

O=3.24= 72

The owner is 72 years old.

5 0

2 years ago