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
seraphim [82]
3 years ago
10

Write and solve an equation to find the values of d and w .

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0

Answer:

d = 65°

w = 55°

Step-by-step explanation:

m∠DAC +∠m∠CAB = 60

m∠DAC + 35 = 60

m∠DAC = 25

m∠DAC + d = 90

25 + d = 90

d = 65°

m∠GAF + w + d = 180

60 + w + 65 = 180

w + 125 = 180

w = 55°

You might be interested in
Write the polynomial in standard form: I need help with this
Novosadov [1.4K]
The polynomial is the same in standard form
3 0
2 years ago
The sum of two numbers is 51.
Firdavs [7]

Answer:

21 and 30

Step-by-step explanation:

x + y = 51

x - y = 9

add the two equations and y's will cancel out

2x = 42  divide by 2

x = 21   so put 21 in for x in the top equation and solve

21 + y = 51

y = 30

4 0
2 years ago
According to a formula widely used by doctors to determine drug dosages, a person's body surface area (BSA) (in meters squared)
Softa [21]
BSA = hw ÷ 60

We have:
h = 184
w = 83

BSA = (184)(83) ÷ 60
BSA = 15272 ÷ 60
BSA = 254.5 (Rounded to one decimal place)
6 0
3 years ago
2 more questions thanks
sergey [27]
These are two questions and two answers.

1) Problem 17.

(i) Determine whether T is continuous at 6061.

For that  you have to compute the value of T at 6061 and the lateral limits of T when x approaches 6061.

a) T(x) = 0.10x if 0 < x ≤ 6061

T (6061) = 0.10(6061) = 606.1

b) limit of Tx when x → 6061.

By the left the limit is the same value of T(x) calculated above.

By the right the limit is calculated using the definition of the function for the next stage: T(x) = 606.10 + 0.18 (x - 6061)

⇒ Limit of T(x) when x → 6061 from the right = 606.10 + 0.18 (6061 - 6061) = 606.10

Since both limits and the value of the function are the same, T is continuous at 6061.

(ii) Determine whether T is continuous at 32,473.

Same procedure.

a) Value at 32,473

T(32,473) = 606.10 + 0.18 (32,473 - 6061) = 5,360.26

b) Limit of T(x) when x → 32,473 from the right

Limit = 5360.26 + 0.26(x - 32,473) = 5360.26

Again, since the two limits and the value of the function have the same value the function is continuos at the x = 32,473.

(iii) If  T had discontinuities, a tax payer that earns an amount very close to the discontinuity can easily approach its incomes to take andvantage of the part that results in lower tax.

2) Problem 18.

a) Statement Sk

You just need to replace n for k:

Sk = 1 + 4 + 7 + ... (3k - 2) = k(3k - 1) / 2

b) Statement S (k+1)

Replace

S(k+1) = 1 + 4 + 7 + ... (3k - 2) + [ 3 (k + 1) - 2 ] = (k+1) [ 3(k+1) - 1] / 2

Simplification:

1 + 4 + 7 + ... + 3k - 2+ 3k + 3 - 2] = (k + 1) (3k + 3 - 1)/2

                 k(3k - 1)/ 2 + (3k + 1) = (k + 1)(3k+2) / 2

Do the operations on the left side and  you will find it can be simplified to k ( 3k +1) (3 k + 2) / 2.

With that you find that the left side equals the right side which is a proof of the validity of the statement by induction.

4 0
2 years ago
Read 2 more answers
7 + (a+b) = (7+a) +b what is the property
morpeh [17]

Answer:

Associative property of addition

Step-by-step explanation:

To “associate” means to connect or join with something. According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped.

4 0
3 years ago
Other questions:
  • An equilateral triangle has a perimeter of 51x + 3. What is the length of each side of the triangle?
    11·2 answers
  • Find the sum of first 20 to terms of an ap in which d is equal to 7 and 20 second term is 149​
    9·2 answers
  • How do I solve?<br><br> -2x2y3 · 14x2y3
    9·1 answer
  • 8 weeks is what percent of a year?
    15·2 answers
  • 63/84 in simplest form
    12·2 answers
  • Michelle and her father want to make a triangular sail for their boat. The height of the sail will be 24 ft., and the base will
    15·1 answer
  • Can 57 rows be divided into a number of equal sections? explain how you found your answer?
    9·1 answer
  • In Maryland, the sales tax is 6%. If you buy a shirt for $38, how much is the tax?
    10·1 answer
  • R is the midpoint of DA⎯⎯⎯⎯⎯. D has coordinates (5,−6), and R has coordinates (9,−2). Identify the coordinates of A.
    5·1 answer
  • Select the correct answer.Which rational expression is equivalent to this expression?4/x-3
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!