On Monday, your bank account balance was −$12.92. Because you didn't realize this, you wrote a check for $30.41 for groceries. What is the new balance in your account?

Answers

Answer 1

Answer: -43.33 because you do -12.92 minus 30.41 and then you get -44.33

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If a || b, m<2 = 63°, and m<9 = 105°, give the measure of each angle.m<1 =
M<3=
m<4=
m<5=
m<6=
m<7=
m<8=
m<10=
m<11=
m<12=
m<13=
m<14 =

Answers

Applying the relationship existing between angle pairs, the measure of each angle in the image are:

m<1 = 42°

m<3 = 75°

m<4 = 42°

m<5 = 63°

m<6 = 75°

m<7 = 105°

m<8 = 75°

m<10 = 75°

m<11 = 42°

m<12 = 138°

m<13 = 42°

m<14 = 138°

Given that a || b, where:

m<2 = 63°
m<9 = 105°, the missing angle measures will be determined as follows:

Find m<1:

m<1 + m<2 = m<9 (exterior interior angle theorem)

Substitute

m<1 + 63° = 105°

m<1 = 105° - 63°

m<1 = 42°

Find m<3:

m<1 + m<2 + m<3 = 180° (angles on a straight line)

Substitute

42° + 63°+ m<3 = 180°

105° + m<3 = 180°

m<3 = 180° - 105°

m<3 = 75°

Find m<4:

m<4 = m<1 (vertical angles theorem)

Substitute

m<4 = 42°

Find m<5:

m<5 = m<2 (vertical angles theorem)

Substitute

m<5 = 63°

Find m<6:

m<6 = m<3 (vertical angles theorem)

Substitute

m<6 = 75°

Find m<7:

m<7 + m<6 = 180° (corresponding angles theorem)

Substitute

m<7 + 75° = 180°

m<7 = 180° - 75°

m<7 = 105°

Find m<8:

m<8 = m<6 (alternate interior angles theorem)

Substitute

m<8 = 75°

Find m<10:

m<10 = m<6 (corresponding angles theorem)

Substitute

m<10 = 75°

Find m<11:

m<11 = m<4 (alternate interior angles theorem)

Substitute

m<11 = 42°

Find m<12:

m<12 = m<6 + m<5 (alternate interior angles theorem)

Substitute

m<12 = 75° + 63°

m<12 = 138°

Find m<13:

m<13 = m<11 (vertical angles theorem)

Substitute

m<13 = 42°

Find m<13:

m<14 = m<12 (vertical angles theorem)

Substitute

m<14 = 138°

Learn more here:

brainly.com/question/24607467

Answer:

a. m<1 = 105° - 63° m<1 = 42°

b. m<3 + m<2 + m<1 = 180° m<3 = 75°

c. m<4 = m<1 m<4 = 42°

d. m<5 = m<2 m<5 = 63°

e. m<6 = m<3 m<6 = 75°

f. m<7 = m<9 m<7 = 105°

g. m<8 = m<6 m<8 = 75°

h. m<10 = m<8 m<8 = 75°

i. m<11 = m<4 m<11 = 42°

j. m<12 = 180° - m<11 m<12 = 138°

k. m<13 = m<11 m<13 = 42°

l. m<14 = m<12 m<14 = 138°

Step-by-step explanation: Sorry if not all are correct

Jason is saving up for a skateboard and helmet. The skateboard is 45.50 with tax and the helmet is 18.25 with tax. He earned 1/3 of the money by mowing lawns and the rest by babysitting. How much did jason earn with babysitting

Answers

Answer:

2/3 of the money, $42.50

Step-by-step explanation:

The total Jason is saving is ...

$45.50 +18.25 = $63.75

If 1/3 was earned by mowing, the remaining 2/3 was earned by babysitting. Two thirds of the amount is ...

(2/3) × $63.75 = $42.50

Jason earned $42.50 by babysitting.

chad poured a sidewalk that is 42 ft long. He is going to start at the beginning and make a cut every 20 inches. How many cuts will Chad make?

Answers

So The First Step in tackling this problem is first do $42x12$ , The reason why we do this is because we are converting feet to inches. After that we will get 504 inches. The next and final step is to do 504÷20. Then we will get 25.2 so the final answer is that Chad will make 25 cuts.

Twice because you would divide the 2 numbers together, and you get a small decimal. But since you can't cut a decimal then It would be 2, so 2 cuts. :)

The larger nail is a dilation of the smaller nail.Select all statements that are true.