In triangle JKL, if angle J is seven less than angle L and angle K is 21 less than twice angle L, find the measure of each angle

Answers

Answer 1
Answer:

The measure of the angles are; J = 48, K = 57 and L = 75

What is linear pair?

Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

In order to determine the measure of these angles, we have to set J as x. then find the measure of all of these angles.

J = x

K = x + 9

L = 2x - 21

Now, we can add them all together and set equal to 180;

x + x + 9 + 2x - 21 = 180

4x - 12 = 180

4x = 192

x = 48

Now that we have;

J = x = 48

K = x + 9 = 48 + 9 = 57

L = 2x - 21 = 2(48) - 21 = 96 - 21

L = 75

Hence, The measure of the angles are; J = 48, K = 57 and L = 75

Learn more about angles;

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Answer 2
Answer:

Answer:

j=45 k=83 L=52

Step-by-step explanation:

j=x-7

k=2x-21

L=x

x-7+2x-21+x=180

4x-28=180

4x=208

x=52


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5. Identify the type and subtype of each of the fol-lowing problems.

a. Shawn has 15 marbles, which is 7 more mar-

bles than Kyle has. How many marbles does

Kyle have?

b. Tiffany has 12 blocks, 5 of which are cubes

and the rest cylinders. How many blocks are

cylinders?

c. Peter had some carrots. After he ate 3 of

them, he had 14 carrots left. How many car-

rots did Peter have before?

d. In a bag of 17 marbles, 9 marbles belong to

Kelly and the rest belong to Shauntay. How

many marbles belong to Shauntay?

Answers

Answer:

a) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntay

Answer:

a) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntaya) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntay

Step-by-step explanation:

There are 12 coins ; dimes and quarters. The number of dimes is 2 more than the number of quarters. A. $2.25
B. $2.10
C. $2.50
D. $1.95
E. $1.65
F. $1.80
You have 15 coins; dimes and quarters. The number of quarters is twice as many as dimes. Find the total value of the coins.
A. $2
B. $3.25
C. $3.50
D. $2.50
E. $2.25
F. $3

Answers

Answer:

D.  $1.95

F.  $3

Step-by-step explanation:

dimes:  x + 2

quarters:  x

x + 2 + x = 12

2x + 2 = 12

2x = 10

x = 5

dimes:  x + 2 = 5 + 2 = 7

quarters:  x = 5

Total value: (7 * .10) + (5 * .25) = $1.95

_____

dimes:  x

quarters:  2x

x + 2x = 15

3x = 15

x = 5

dimes:  x = 5

quarters:  2x = 2(5) = 10

Total value: (5 * .10) + (10 * .25) = $3

Caleb bought groceries and paid \$1.60$1.60dollar sign, 1, point, 60 in sales tax. The sales tax rate is 2.5\%2.5%2, point, 5, percent.What was the price of Caleb's groceries, before tax?

Answers

The price before tax would be 1.60/0.025 which equals $64.

The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog.If the veterinarian gives a 30-pound dog 5 milligram of the medicine, which equation relates the weight, w, and the
dosage, o?

Answers

Question: The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog 3/5 milligram of the medicine, which equation relates the weight,w, and the dosage, d?

Answer: d= 1/50w

Explanation: I took the test in Edgenuity.

Hope this helps!

6/8 reduced to the lowest term

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

both the numerator and denominator can be divided by 2

6/2=3

8/2=4

so 6/8 in lowest terms is 3/4

kayla has 2,000 stickers in her collection mariah had 1/100 of that amount how many stickers does mariah have

Answers

to find 1/100 of 2000 we divide 2000 by 100. mariah has 20 stickers.

2,000 times 1/100 on the calculator which gives you 20. Mariah has 20 stickers.