MATHEMATICS MIDDLE SCHOOL

Triangle KNM is isosceles, where angle N is the vertex.Isosceles triangle K N M is shown. N L is a perpendicular bisector of angle K N M. Angle K N L is (5 x + 10) degrees and angle L N M is (6 x minus 1) degrees.

What is the measure of angle K?
11º
25º
50º
65º

Answers

Answer 1

Answer:

Answer:

25°

Step-by-step explanation:

In isosceles triangle KNM, NL is a perpendicular bisector of angle KNM.

This means

$m\angle KNL=m\angle LNM$

Since

$m\angle KNL=(5x+10)^(\circ)\n \nm\angle LNM=(6x-1)^(\circ),$

you have

$5x+10=6x-1\n \n5x-6x=-1-10\n \n-x=-11\n \nx=11$

No, find the measure of angles KNL and LNM:

$m\angle KNL=(5\cdot 11+10)^(\circ)=65^(\circ)\n \nm\angle LNM=(6\cdot 11-1)^(\circ)=65^(\circ)$

and the measure of angle KNM is

$m\angle KNM=m\angle KNL+m\angle LNM=65^(\circ)+65^(\circ)=130^(\circ)$

Angles adjacent to the base of isosceles triangle are congruent. The sum of the measures of all interior angles is 180°, then

$m\angle K=(1)/(2)(180^(\circ)-130^(\circ))=25^(\circ)$

Answer 2

Answer:

Answer:

25 Degrees

Step-by-step explanation:

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What are the intercepts on a graph for y=4x-2

Answers

The intercepts for this equation is (1/2,-2) I hope this helps

the x intercept is where the line crosses the x axis or where y=0
the y intercept is where the line crosses the y axis or where x=0

x intercept
solve for where y=0

0=4x-2
add 2
2=4x
divide 4
1/2=x
x intercept at x=1/2 or at the point (1/2,0)

y intercept
x=0
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24/5 in simplest form
please help me.

Answers

24/5 in simplest form is 4.8.

24/5=4 and 4/5 because 4x5=20=4=24. It would automatically be over 5.
I hope this helps!

What is 0.65 as a fraction in simplest form

Answers

It end in the hundredth place, so you have to write 65/100
65/100 simplifies to 13/20.

0.65 as a fraction in simplest form is 13/20.

What is a fraction?

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In this exercise and scenario, we would convert the given decimal number 0.65 into a fraction by converting it into a percentage as follows;

0.65 = 65/100

By dividing both sides by 5, we have:

Fraction: 65/100 = 13/20.

Read more on fraction here: brainly.com/question/29367657

#SPJ6

Is 336in bigger or equal to 18 ?

Answers

336 inches is bigger that 18 nanometers, millimeters,
centimeters, inches, or feet.

But 336 inches is smaller than 18 meters, furlongs,
miles, kilometers, or light-years.

Bigger, Being that 336 has three numbers and 18 only has two.

Bella pays 7 payments of $5 each to a game store. She returns none game and receives $20 back. What is the change to the amount of money she has.

Answers

Die to calculations:7×5=35 32-20=15
So she gets $15 change back :)

Hope I helped!

-RainyClouds

Answer:

Step-by-step explanation:

EXTRA POINTS:You put $500 in your bank account. With an interest rate of 5%, how long will it take the account to reach $600? Use the formula: I = Prt.