Answer/Step-by-step explanation:
Given:
m<2 = 125°
m<12 = 37°
m<18 = 102°
a. m<1 + m<2 = 180° (linear pair)
m<1 + 125° = 180° (substitution)
m<1 = 180° - 125°
m<1 = 55°
b. m<3 = m<18 (alternate exterior angles)
m<3 = 102° (substitution)
c. m<4 + m<3 = 180° (linear pair)
m<4 + 102° = 180° (substitution)
m<4 = 180° - 102°
m<4 = 78°
d. m<5 = m<2 (vertical angles)
m<5 = 125° (substitution)
e. m<6 = m<1 (vertical angles)
m<6 = 55° (substitution)
f. m<7 = m<12 (alternate angles)
m<7 = 37° (substitution)
g. m<8 + m<12 + m<13 = 180° (sum of triangle)
m<12 = 37° (given)
m<13 = m<18 = 102° (vertical angles)
m<8 + 37° + 102° = 180° (substitution)
m<8 + 139° = 180°
m<8 = 180° - 139°
m<8 = 41°
h. m<9 = m<18 (corresponding angles)
m<19 = 102° (substitution)
i. m<10 = m<6 (alternate interior angles)
m<10 = 55°
j. m<11 + m<6 + m<7 = 180° (sum of triangle)
m<11 + 55° + 37° = 180° (substitution)
m<11 + 92° = 180°
m<11 = 180° - 92°
m<11 = 88°
k. m<13 = m<18 (vertical angles)
m<13 = 102°
l. m<14 = m<4 (corresponding angles)
m<14 = 78°
m. m<15 = m<5 (corresponding angles)
m<15 = 125°
n. m<16 = m<6 (corresponding angles)
m<16 = 55°
o. m<17 = m<14 (vertical angles)
m<17 = 78°
216 divided by 31
Please give me the answer AND the remainder. i DO NOT want the answer in deciamls
And show your work
Answer:
6 r 30
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 31 on the left side and the dividend 216 on the right side like this:
3 1 ⟌ 2 1 6
Step 2:
The divisor (31) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
0
3 1 ⟌ 2 1 6
Step 3:
Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer below the dividend.
0
3 1 ⟌ 2 1 6
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.
0
3 1 ⟌ 2 1 6
- 0
2
Step 5:
Move down the 2nd digit of the dividend (1) like this:
0
3 1 ⟌ 2 1 6
- 0
2 1
Step 6:
The divisor (31) goes into the bottom number (21), 0 time(s). Therefore, put 0 on top:
0 0
3 1 ⟌ 2 1 6
- 0
2 1
Step 7:
Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer at the bottom:
0 0
3 1 ⟌ 2 1 6
- 0
2 1
0
Step 8:
Subtract the result in the previous step from the number written above it. (21 - 0 = 21) and write the answer at the bottom.
0 0
3 1 ⟌ 2 1 6
- 0
2 1
- 0
2 1
Step 9:
Move down the last digit of the dividend (6) like this:
0 0
3 1 ⟌ 2 1 6
- 0
2 1
- 0
2 1 6
Step 10:
The divisor (31) goes into the bottom number (216), 6 time(s). Therefore put 6 on top:
0 0 6
3 1 ⟌ 2 1 6
- 0
2 1
- 0
2 1 6
Step 11:
Multiply the divisor by the result in the previous step (31 x 6 = 186) and write the answer at the bottom:
0 0 6
3 1 ⟌ 2 1 6
- 0
2 1
- 0
2 1 6
1 8 6
Step 12:
Subtract the result in the previous step from the number written above it. (216 - 186 = 30) and write the answer at the bottom.
0 0 6
3 1 ⟌ 2 1 6
- 0
2 1
- 0
2 1 6
- 1 8 6
3 0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 216 divided by 31 calculated using Long Division is:
6
30 Remainder
4:8 and 32:64 are equal ratios. True or False
Answer:
True
Step-by-step explanation:
this is because when reduced to their most simple terms they are the same so:
4:8 divide both sides by 4 and get: 1:2
32:64 divide both sides by 32 and get: 1:2 as well
Please help! ASAP I just need number 1
Answer:
no you can not make 1 into a triangle
Step-by-step explanation:
16 cm, 30 cm, 45 cm
if you want to draw a triangle with these sides you would add
16 + 30 = 46
the longest side would have to be greater then the other 2 sides
Two stores sell CDs in packages, as shown in the table below.
CD Prices at Store A
Number of CDs in Package
1
12
20
45
Cost
$0.70
$8.40
?
$31.50
CD Prices at Store B
Number of CDs in Package
1
20
30
65
Cost
$0.60
?
$18.00
$39.00
If the rate at each store is constant, which statement correctly compares the cost of a package containing 20 CDs?
The cost at Store A is $2.00 greater than at Store B.
The cost at Store B is $2.00 greater than at Store A.
The cost at Store A is $1.00 greater than at Store B.
The cost at Store B is $1.00 greater than at Store A.
Answer:
The answer is B
Step-by-step explanation:
the cost at store b is 2.00 greater than store a
Answer: b is the answer
Step-by-step explanation:
D
Two friends rent an apartment together.
They agree that one person will
рау 1.5
times what the other person pays. If the rent
is $850, how much will each friend pay?
Answer:
Friend A pays $340 and friend B pays $510
Step-by-step explanation:
Let's call
x: payment of friend A
1.5x: payment of friend B
The sum of both payments must total $850, thus:
x + 1.5x = 850
Simplifying:
2.5x=850
x = 340
Now for friend B:
1.5x=1.5*340=510
Friend A pays $340 and friend B pays $510
What is the equation of this line?
A. y=2x−3
B. y=−12x−3
C. y=−2x−3
D. y=12x−3
Answer:
2×-3 is the best equation for this.
Answer: y=2x-3
Step-by-step explanation:
Please help me it would mean a lot
Problem 10
Answer: 80 degreesWork Shown: 80-0 = 80
You subtract the values on the protractor where the two angle arms line up.
============================================
Problem 11
Answer: 45 degreesWork Shown: 45-0 = 45
Same idea as problem 10
============================================
Problem 12
Answer: 83 degreesWork Shown: 128-45 = 83
Same idea as the others. The arm TS isn't fully on 130 degrees, and it's a bit short of it. It looks to be about 128 degrees or so.
============================================
Problem 13
Answer: 35 degreesExplanation: Luis forgot to subtract the value of each arm of the angle. So he should have done 80-45 = 35. The answer would be 80 degrees if arm TQ was at 0 degrees (so 80-0 = 80), but instead TQ is at 45 degrees.
why do terms have to be like terms?
Answer:
Like terms are terms that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only like terms can be combined. We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily.
What is the first step to solve for n
in the following equation?
3n - 7 = 30
Answer:
n = 37/3
n = 12 1/3
Step-by-step explanation:
Hi there !
3n - 7 = 30
3n = 30 + 7
3n = 37
n = 37/3
n = 12 1/3
Good luck !
Diana usually drives at average rate of 30 mph.
If Diana drives with the average rate x mph, how long would it take her to get to Tony's house?
Answer:
12/x hours
Step-by-step explanation:
d=12
s*t=d
t=d/s
t=12/s
Hope this helps pls if it help u mark me BRAINLIST pls thank u.
Answer:
12
Step-by-step explanation:
no
Solve the system x+2z=30 y+z=12 z=1
Answer:
x=28 y=11 z=1
Step-by-step explanation:
plug in 1 for z in x+2z=30 to get x+2(1)=30. Then you should get x+2=30 which is x=28.
Then, plug 1 in for the second equation of y+z=12 so you get y+1=12. Then you should get y=11.
Pls solve number 4 ASAP pls and thank you
Answer: 7776
........................
This is due today and I don’t really get it so I need some help!
I'm not sure if you dont know maybe put C
over the summer, you read 20 books. Eight of these books were biographies
Answer:
40%
Step-by-step explanation:
[tex]\frac{8}{20}*\frac{100}{1}\\ 8*5=40[/tex]
Kayla has a puppy that weighs 5 pounds. Kayla's brother Manuel has a puppy that is 65 times the weight of Kayla's puppy. Which statement about the weight of Manuel's puppy is true?
Ram’s father is 38 years old. His age is three more than five times the age
of Ram. What is Ram’s age?
Answer:
7
Step-by-step explanation:
7 times 5 =35
35+3=38
correct answer is 7 years old
Answer:
Ram is 7
Step-by-step explanation:
38-3
=35 divided by 5
=7
If a = 6 and b = 12 What is side c of a right triangle using the pythagorean
theorm?
Answer:
36 root 5 I believe
Step-by-step explanation:
Answer:
36 square root 5
Step-by-step explanation:
please help I need an answer ASAP pleae
Answer:
1=8 2=11/12
Step-by-step explanation:
which of the following is equivalent to 2/3 divided by 5/6 ?
Answer:
.8 or 8/10 or 4/5
Step-by-step explanation:
Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
OOOO
O y=2x-2
y = 2x + 2
y = x + 2
y = x-2
Answer:
y = x + 2
Step-by-step explanation:
Point (0, 2) :
y = x + 2
2 = 0 + 2
2 = 2
Point (4, 6) :
y = x + 2
6 = 4 + 2
6 = 6
what types of function do you see in the following graph?
constant and absolute value
Juan read 300 pages in 5 days. Which reading rate is equivalent?
A.) 150 pages in 3 days
B. )120 pages in 2 days
C.) 105 pages in 1 day
D.) 100 pages in 3 days
Answer:
A: 150 pages in 3 days
Step-by-step explanation:
What is the equation of this line?
y=23x−2
y=32x−2
y=−2x+23
y=−2x+32
SOMEONE JUST ANSWER PLSSSS I NEED HELP ASAP.
Answer:
y=2/3x−2 A. WOULD BE THE ANSWER
Step-by-step explanation:
She makes a base salary of $2,500 per month plus 5% of the cost of each vacation. This month she sold $80,000 in cruises. What are her total monthly wages?
$6500 Step-by-step explanation:
the total is...
2500 added to the commission
the commission is ...
80000 multiplied by the 5 percent
which is 4000
total is 4000 plus the 2500
ans is ...$6500
Based on her base salary and the amount she earns for every trip sold, her total monthly wages are $6,500
The lady in question makes $2,500 per month as a base salary. She then makes 5% of the trips she sells.
Total trips sold was $80,000 and she will get 5% of that.
Her total wages for the month is therefore:
= Base salary + percentage of trips
= 2,500 + (5% x 80,000)
= 2,500 + 4,000
= $6,500
In conclusion, she made $6,500 that month.
Find out more at https://brainly.com/question/16525530.
What is the equation in standards form of the line y=1/9x+5
Consider these similar triangles were ALMN - ARSN.
What is the length of x?
Answer:
x = 15
Step-by-step explanation:
48/12 = 4
60/4 = 15
Essentially, find the growth rate and divide the larger number by that number, or if you were given the smaller number (15), you would simply need to multiply 15 by 4 to find 60.
What is the domain of f?
Answer:
The answer would be B
Step-by-step explanation:
The diameter of a pinhead is 0.000004 mm. What is this number,
without units, in scientific notation?
Answer:
4*10^-6
Step-by-step explanation:
A rotation maps point A(5, 4) to A’(–4, 5).
Which describes the rotation?
180° clockwise rotation
180° counterclockwise rotation
90° counterclockwise rotation
90° clockwise rotation
Answer:
C
Step-by-step explanation:
Does anyone know this?
Answer:
I think the answer is A but I am not for sure
Step-by-step explanation: