All categories

3 years ago

In parallelogram JKLM, m<L exceeds m<M by 30 degrees. What is the measure of M<J?

Mathematics

1 answer:

Damm [24]3 years ago

3 0

Answer:

2)105°

Step-by-step explanation:

In this parallelogram, J should be congruent to L (J=L). We can solve this problem if we find out the value of L.

The sum of the adjacent angle of the parallelogram will be equal to 180 degrees, so the equation is

L + M = 180

M=180- L

If L exceeds M by 30 degrees then the equation will be

L=M +30

If you combine both equations, it will be

L+30 = M +30

L+30 = (180- L) +30

L + L= 180 + 30

2L= 210

L=105

You might be interested in

Sally and Karl work at different jobs. Sally earns $7 per hour and Karl earns $5 per hour. They each earn the same amount per we

Lisa [10]

Answer:

Karl works 7 hours a week

Step-by-step explanation:

Step 1: Determine total amount that Sally earns

Total amount Sally earns=rate per hour×number of hours worked(h)

where;

Rate per hour=$7 per hour

Number of hours worked=h

Replacing;

Total amount Sally earns=(7×h)=7 h

Step 2: Determine total amount Karl earns

Total amount Karl earns=rate per hour×number of hours worked

where;

rate per hour=$5

number of hours worked=2 more than Sally=h+2

replacing;

Total amount Karl earns=5(h+2)

Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h

7 h=5(h+2)

7 h=5 h+10

7 h-5 h=10

2 h=10

h=10/2

h=5

Karl works (h+2) hours=(5+2)= 7 hours

Karl works 7 hours a week

7 0

3 years ago

The linear regression line for Tampa Tribune Database is y=8x+367. In approximately what year is the Tampa Tribune expecting to

lakkis [162]

The Tampa Tribune expecting to add 700 new pictures per year to their database in 2041

<h3>The linear equation of the graph</h3>

The equation of the line of best fit is given as:

$y = 8x + 367$

When the number of pictures added is 700, we have:

y = 700

Substitute 700 for y in $y = 8x + 367$

$700 = 8x + 367$

Subtract 367 from both sides of the equation

$333= 8x$

Rewrite the above equation as:

$8x = 333$

Divide both sides by 8

$x = 41.625$

Remove decimal (do not approximate)

$x = 41$

This means that:

$Year = 2000 +41$

$Year = 2041$

Hence, the Tampa Tribune expecting to add 700 new pictures per year to their database in 2041

Read more about linear regression at:

brainly.com/question/26137159

8 0

3 years ago

Slope of (27,2),(38,-15)

andrezito [222]

I'm in college, I honestly don't know what it is but I hope you find it!

3 0

3 years ago

Read 2 more answers

Tia owns a fruit shop and is selling a fresh lot of apples and oranges. She wants the ratio of apples to oranges sold to be 3 to

prisoha [69]

i have no idea how many apples should she sell

6 0

3 years ago

Read 2 more answers

A bagel store prepares for bagels with cream cheese and 54 seconds and 12 bagels with cream cheese in 16

Svetllana [295]

I’m not sure i understand what your trying to say

5 0

3 years ago