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3 years ago

What is the measure of JKL?

Mathematics

2 answers:

Orlov [11]3 years ago

7 0

Answer:

Step-by-step explanation:

83 and JKL form a straight line so they add to 180 degrees

83+ JKL = 180

Subtract 180 from each side

83-83+ JKL = 180-83

JKL = 97

zepelin [54]3 years ago

5 0

Answer:

97°

Step-by-step explanation:

Interior + exterior angle = 180

Interior angle (JKL) = 180 - 83

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What does an individual's effective tax rate indicate?

Neporo4naja [7]

A) the average income earned

Mark if correct!

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3 years ago

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Which students line segments have a midpoint of (-1,4)? Select all that apply A. Student 1 B. Student 2 C. Student 3 D. Student

SashulF [63]

Answer:

C. Student 3

E. Student 5

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

Verify the midpoint of each student

student 1

we have the endpoints

(-9,0) and (11,-8)

substitute in the formula

$M(\frac{-9+11}{2},\frac{0-8}{2})$

$M(1,-4)$

The midpoint is not (-1,4)

student 2

we have the endpoints

(-6,-1) and (4,-7)

substitute in the formula

$M(\frac{-6+4}{2},\frac{-1-7}{2})$

$M(-1,-4)$

The midpoint is not (-1,4)

student 3

we have the endpoints

(-5,2) and (3,6)

substitute in the formula

$M(\frac{-5+3}{2},\frac{2+6}{2})$

$M(-1,4)$

The midpoint is equal to (-1,4)

student 4

we have the endpoints

(-3,10) and (5,-2)

substitute in the formula

$M(\frac{-3+5}{2},\frac{10-2}{2})$

$M(1,4)$

The midpoint is not (-1,4)

student 5

we have the endpoints

(0,-3) and (-2,11)

substitute in the formula

$M(\frac{0-2}{2},\frac{-3+11}{2})$

$M(-1,4)$

The midpoint is equal to (-1,4)

therefore

Student 3 and student 5

3 0

3 years ago

Line JM intersects line GK at point N Which statements are true about the figure? Check all that apply.

Likurg_2 [28]

we know that

Complementary angles are two angles whose sum is equal to $90$ °, while supplementary angles are two angles whose sum is equal to $180$ °.

Statements

case 1) GNJ is complementary to JNK

Is False

Angle GNJ is $90$ degrees and angle JNK is $90$ degrees. The sum of the angles GNJ and JNK is $180$ degrees. Therefore, GNJ is not complemetary to JNK.

$angle\ GNJ+angle\ JNK=180\ degrees$

GNJ is supplementary to JNK, not complementary

case 2) MNL is complementary to KNL

Is True

The sum of angles MNL and KNL is MNK which is $90$ degrees. Therefore, MNL is complementary to GNJ.

$angle\ MNL+angle\ KNL=90\ degrees$

MNL is complementary to KNL

case 3) MNG is complementary to GNJ

Is False

Angle MNG is $90$ degrees and angle GNJ is $90$ degrees. The sum of the angles MNG and GNJ is $180$ degrees. Therefore, MNG is not complemetary to GNJ.

$angle\ MNG+angle\ GNJ=180\ degrees$

MNG is supplementary to GNJ, not complementary

case 4) KNJ is supplementary to MNL

Is False

Angle KNJ is $90$ degrees and angle MNL is less than $90$ degrees. The sum of the angles KNJ and MNL is less than $180$ degrees. Therefore, KNJ is not supplementary to MNL

$angle\ KNJ+angle\ MNL < 180\ degrees$

case 5) GNM is supplementary to JNK

Is True

Angle GNM is $90$ degrees and angle JNK is $90$ degrees. The sum of the angles GNM and JNK is $180$ degrees. Therefore, GNM is supplementary to JNK.

$angle\ GNM+angle\ JNK = 180\ degrees$

GNM is supplementary to JNK

therefore

the answer is

MNL is complementary to KNL

GNM is supplementary to JNK

4 0

3 years ago

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What’s 5x[(26-4)-(4+6)

seropon [69]

Answer:

The Answer is: The factors reduce to 60x.

Step-by-step explanation:

First the parenthesis, then the bracket, then the multiplication:

5x[(26 - 4) - (4 + 6)]

5x[22 - 10]

5x[12]

60x

Hope this helps! Have an Awesome Day!! :-)

8 0

3 years ago

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In Triangle ABC, the length of Segment AB is equal to the length of segment AC. The length of segment BC is 4 less than twice th

seraphim [82]

Step-by-step explanation:

Let x be the length of segment AB.

Then the length of segment BC is (2x - 4).

The length of segment AC is x.

We know that x + (2x - 4) + x = 52.

Therefore 4x - 4 = 52, 4x = 56, x = 14.

Hence the length of segment AB is 14.

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3 years ago