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
Ilia_Sergeevich [38]
3 years ago
5

The measures of complementary angles have a sum of 90 degrees.Angle A and angle B are complimentary, and their measures have a d

ifference of 20 degrees.What are the measures of the angles?
Mathematics
1 answer:
777dan777 [17]3 years ago
5 0

Answer:

The measure of the angles are 55° and 35°

Step-by-step explanation:

Sum of two angles that are complement of each other are 90.

The angles are A and B, so we can write:

A + B = 90

Also,

The difference is 20. Let A be the greater of them, so we can write equation 2 as:

A - B = 20

Now, we add up both equations, eliminate B and solve for A first:

A + B = 90

A - B = 20

---------------

2A = 90 + 20

2A = 110

A = 110/2

A = 55

And now the measure of B:

A + B = 90

55 + B = 90

B = 90 - 55

B = 35

You might be interested in
A deep-sea diver dives from the surface to 131 feet below the
Darina [25.2K]

Answer:

146 feet below the surface

Step-by-step explanation:

-131+8-18-28+23=-146

8 0
1 year ago
A scuba diver swimming at the Deppe shown, and then swim 0.5 feet toward the surface every three seconds. What is the location o
ivanzaharov [21]
For every 3 seconds, the scuba diver dives 0.5 feet
after 15 seconds = your answer

3 x 5 = 15
0.5 x 5 = your answer

your answer = 2.5

2.5 is your answer

hope this helps
7 0
3 years ago
What is the percentage of sugar in the syrup made of 10kg of water and 5kg of sugar? Hi and have a good day :D
arsen [322]

Answer:

33.33%

Step-by-step explanation:

the syrup has a total of 15kg of ingredients, 5kg of it is sugar, so 15/5 which will end as 33.33%

8 0
3 years ago
Read 2 more answers
Allied Corporation is trying to sell its new machines to Ajax. Allied claims that the machine will pay for itself since the time
kvasek [131]

Answer:

z(s) is in the acceptance region. We accept H₀  we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

Step-by-step explanation:

We must evaluate the differences of the means of the two machines, to do so, we will assume a CI  of 95%, and as the interest is to find out if the new machine has better performance ( machine has a bigger efficiency or the new machine produces more units per unit of time than the old one) the test will be a one tail-test (to the left).

New machine

Sample mean                  x₁ =    25

Sample variance               s₁  = 27

Sample size                       n₁  = 45

Old machine

Sample mean                    x₂ =  23  

Sample variance               s₂  = 7,56

Sample size                       n₂  = 36

Test Hypothesis:

Null hypothesis                         H₀             x₂  -  x₁  = d = 0

Alternative hypothesis             Hₐ            x₂  -  x₁  <  0

CI = 90 %  ⇒  α =  10 %     α = 0,1      z(c) = - 1,28

To calculate z(s)

z(s)  =  ( x₂  -  x₁ ) / √s₁² / n₁  +  s₂² / n₂

s₁  = 27     ⇒    s₁²  =  729

n₁  = 45    ⇒   s₁² / n₁    = 16,2

s₂  = 7,56   ⇒    s₂²  = 57,15

n₂  = 36     ⇒    s₂² / n₂  =  1,5876

√s₁² / n₁  +  s₂² / n₂  =  √ 16,2  + 1.5876    = 4,2175

z(s) = (23 - 25 )/4,2175

z(s)  =  - 0,4742

Comparing z(s) and  z(c)

|z(s)| < | z(c)|  

z(s) is in the acceptance region. We accept H₀  we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

The very hight dispersion of values s₁ = 27 is evidence of frecuent values quite far from the mean

3 0
3 years ago
Número racional no entero
Varvara68 [4.7K]

An estar escrito en la forma n / 1. Por ejemplo, 5 = 5/1 y, por tanto, 5 es un número racional. Sin embargo, números como 1/2, 45454737/2424242 y -3/7 también son racionales, ya que son fracciones cuyo numerador y denominador son números enteros.

Espero que esto te ayude

6 0
3 years ago
Other questions:
  • 5n+37 GFH 2+17EFG are a linear pair
    5·1 answer
  • How many times does 5/8 go into 3 3/4?
    7·1 answer
  • List the elements of the set, then indicate the cardinality of the set. HINT [See Example 2.] (Enter your answers as a comma-sep
    13·1 answer
  • -3x-7(x+4) which is a term in this expression
    15·1 answer
  • Please help me asap!
    10·1 answer
  • Which list shows the numbers in order from greatest to least? A) 2.022 &gt; 2.51 &gt; 2.505 &gt; 2.52 B) 7.117 &gt; 7.37 &gt; 7.
    5·1 answer
  • Please help ill give brainliest
    5·2 answers
  • Need help by thx iejhbeeje​
    11·2 answers
  • Find the solution to the equation 5x^2+7x-6=0
    15·2 answers
  • Complete the square to solve the equation below.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!