1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mel-nik [20]
3 years ago
5

KLMN is a rectangle. Angle N measures (12a+24) Find the value of a.

Mathematics
2 answers:
kumpel [21]3 years ago
5 0
If KLMN is a rectangle. All the angles are 90 degrees. So 90 = 12a + 24.
Subtract 24 from both sides
90 - 24 = 12a
66 = 12 a

Solve for a by dividing by 12
66/12 = 5.5
Oduvanchick [21]3 years ago
4 0
12a+24 = 90 because all angles in a rectangle equal 90 degrees.
Subtract 24 from both sides.
12a=66
Divide both sides by 12
a=5.5
You might be interested in
Find the value of a from given figure.​
NeX [460]

Answer:

45°

Step-by-step explanation:

three angles in a triangle sum up to 180

90° + a + a = 180°

90° + 2a = 180°

2a = 180°-90°

2a = 90°

a = 45°

7 0
3 years ago
Describe the steps to dividing imaginary numbers and complex numbers with two terms in the denominator?
zlopas [31]

Answer:

Let be a rational complex number of the form z = \frac{a + i\,b}{c + i\,d}, we proceed to show the procedure of resolution by algebraic means:

1) \frac{a + i\,b}{c + i\,d}   Given.

2) \frac{a + i\,b}{c + i\,d} \cdot 1 Modulative property.

3) \left(\frac{a+i\,b}{c + i\,d} \right)\cdot \left(\frac{c-i\,d}{c-i\,d} \right)   Existence of additive inverse/Definition of division.

4) \frac{(a+i\,b)\cdot (c - i\,d)}{(c+i\,d)\cdot (c - i\,d)}   \frac{x}{y}\cdot \frac{w}{z} = \frac{x\cdot w}{y\cdot z}  

5) \frac{a\cdot (c-i\,d) + (i\,b)\cdot (c-i\,d)}{c\cdot (c-i\,d)+(i\,d)\cdot (c-i\,d)}  Distributive and commutative properties.

6) \frac{a\cdot c + a\cdot (-i\,d) + (i\,b)\cdot c +(i\,b) \cdot (-i\,d)}{c^{2}-c\cdot (i\,d)+(i\,d)\cdot c+(i\,d)\cdot (-i\,d)} Distributive property.

7) \frac{a\cdot c +i\,(-a\cdot d) + i\,(b\cdot c) +(-i^{2})\cdot (b\cdot d)}{c^{2}+i\,(c\cdot d)+[-i\,(c\cdot d)] +(-i^{2})\cdot d^{2}} Definition of power/Associative and commutative properties/x\cdot (-y) = -x\cdot y/Definition of subtraction.

8) \frac{(a\cdot c + b\cdot d) +i\cdot (b\cdot c -a\cdot d)}{c^{2}+d^{2}} Definition of imaginary number/x\cdot (-y) = -x\cdot y/Definition of subtraction/Distributive, commutative, modulative and associative properties/Existence of additive inverse/Result.

Step-by-step explanation:

Let be a rational complex number of the form z = \frac{a + i\,b}{c + i\,d}, we proceed to show the procedure of resolution by algebraic means:

1) \frac{a + i\,b}{c + i\,d}   Given.

2) \frac{a + i\,b}{c + i\,d} \cdot 1 Modulative property.

3) \left(\frac{a+i\,b}{c + i\,d} \right)\cdot \left(\frac{c-i\,d}{c-i\,d} \right)   Existence of additive inverse/Definition of division.

4) \frac{(a+i\,b)\cdot (c - i\,d)}{(c+i\,d)\cdot (c - i\,d)}   \frac{x}{y}\cdot \frac{w}{z} = \frac{x\cdot w}{y\cdot z}  

5) \frac{a\cdot (c-i\,d) + (i\,b)\cdot (c-i\,d)}{c\cdot (c-i\,d)+(i\,d)\cdot (c-i\,d)}  Distributive and commutative properties.

6) \frac{a\cdot c + a\cdot (-i\,d) + (i\,b)\cdot c +(i\,b) \cdot (-i\,d)}{c^{2}-c\cdot (i\,d)+(i\,d)\cdot c+(i\,d)\cdot (-i\,d)} Distributive property.

7) \frac{a\cdot c +i\,(-a\cdot d) + i\,(b\cdot c) +(-i^{2})\cdot (b\cdot d)}{c^{2}+i\,(c\cdot d)+[-i\,(c\cdot d)] +(-i^{2})\cdot d^{2}} Definition of power/Associative and commutative properties/x\cdot (-y) = -x\cdot y/Definition of subtraction.

8) \frac{(a\cdot c + b\cdot d) +i\cdot (b\cdot c -a\cdot d)}{c^{2}+d^{2}} Definition of imaginary number/x\cdot (-y) = -x\cdot y/Definition of subtraction/Distributive, commutative, modulative and associative properties/Existence of additive inverse/Result.

3 0
2 years ago
There are 3 3/4 cookies. if there is 1/4 of a cookie in each bag, how many bags are there?
Svetlanka [38]

Answer:

15 bags

Step-by-step explanation:

3 = 12/4

3 3/4 = 3+3/4 = 12/4 + 3/4 = (12+3)/4 = 15/4

(15/4) ÷ (1/4) = 15

5 0
2 years ago
Easy Question giving 80 points
Bas_tet [7]

Answer:

1=30

2=90

3=21

4=39

5=39

6=24

7=24

8=66

9=66

10=21

11=60

12=120

13=60

14=120

15=48

16=105

17=27

18=129

19=51

20=129

21=51

Step-by-step explanation:

please please please pleas mark me brainliest that was really hard

5 0
3 years ago
Read 2 more answers
Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
Eduardwww [97]
Infinite solutions; both equations are the same.

Hope this helps! <3
7 0
3 years ago
Other questions:
  • I need help...........Please, i will give brainliest for best answer, thank you so much!!
    13·2 answers
  • For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim
    8·1 answer
  • Jill, Mateo, and Rasheed each have some stickers.
    13·1 answer
  • How are geometric sequences related to exponential functions?
    9·1 answer
  • What 9x9 on a monitary volume
    11·2 answers
  • Write &lt;,&gt;,= for each <br> 12cm 98mm witch is greater
    6·2 answers
  • There are 45 female performers in a dance recital. The ratio of men to women is 8:9. How many men are in the dance recital? Ther
    5·1 answer
  • Plesae help with this question i will give brainliest to the person with all the answers
    9·1 answer
  • Fwee points UwU : DDDDD
    8·2 answers
  • I need an explanation and an answer please.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!