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
olga_2 [115]
4 years ago
7

the measure of an angle plus twice its complement is equal to 145. find the measure of the angle and its complement ​

Mathematics
1 answer:
Dvinal [7]4 years ago
5 0

Answer: 35° and 55°

Step-by-step explanation:

For complementary angle, their total value equals to 90°.

Let the measure of the angle be y.

Therefore the complement will be:

= 90° - y

The measure of an angle plus twice its complement is equal to 145 can be expressed as:

y + 2(90 - y) = 145

y + 180 - 2y = 145

y = 180 - 145

y = 35°

The angle is 35° and its complement will be:

= 90 - y

= 90 - 35

= 55°

You might be interested in
The truth table represents statements p, q, and r. p q r p ∧ q p ∧ r A T T T T T B T T F T F C T F T F T D T F F F F E F T T F F
maksim [4K]

The table shows the results of (p ^ q) and results of  (p ^ r) for all possible outcomes. We have to tell which of the outcomes of union of both these events will always be true.

(p ^ q) V (p ^ r) means Union of (p ^ q) and (p ^ r). The property of Union of two sets/events is that it will be true if either one of the event or both the events are true i.e. there must be atleast one True(T) to make the Union of two sets to be True. 

So, (p ^ q) V (p ^ r)  will be TRUE, if either one of  (p ^ q) and (p ^ r)  or both are true. From the given table we can see that only the outcomes A, B and C will result is TRUE. The rest of the outcomes will all result in FALSE.

Therefore, the answer to this question is option 2nd

5 0
3 years ago
The square below represents one whole.
kupik [55]

Answer:

\text{Shaded area as fraction}=\frac{81}{100}

\text{Shaded area as decimal}=0.81

\text{Shaded area as percent of the whole}=81\%

Step-by-step explanation:

Please consider the attached image as the given square.

We are asked to express the shaded area as a fraction, a decimal, and a percent of the whole.

We can see that in our figure there are 100 squares as there are 10 rows and each row contains 10 squares.

We can also see that there are 81 shaded squares out of 100 squares, so we can represent it as a fraction as:

\frac{\text{Shaded squares}}{\text{Total squares}}

\text{Shaded area as fraction}=\frac{81}{100}

To convert the shaded area into decimal, we need to divide 81 by 100.

\text{Shaded area as decimal}=0.81

To convert the shaded area into percent, we need to multiply 0.81 by 100.

\text{Shaded area as percent of the whole}=0.81\times 100\%

\text{Shaded area as percent of the whole}=81\%

7 0
4 years ago
Read 2 more answers
Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of al
padilas [110]

Answer:

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Step-by-step explanation:

We solve this question treating these probabilities as Venn sets.

I am going to say that:

Event A: Requesting automatic transmission

Event B: Requesting built-in GPS

90% of all buyers request automatic transmission

This means that P(A) = 0.9

82% of all buyers request built-in GPS

This means that P(B) = 0.82

77% of all buyers request both automatic transmission and built-in GPS.

This means that P(A \cap B) = 0.77

What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

This is P(A \cup B), which is given by:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

So

P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

3 0
3 years ago
0=x^2-4x+3 how many roots does this equation have
mars1129 [50]

Answer:

No complex roots; 3 real roots

Step-by-step explanation:

If a third order polynomial has any complex roots, then as a rule it has 1 real root and 2 complex roots.  In this particular case, the polynomial has three real roots, as can be determined by graphing the function.  The graph crosses the x-axis in 3 places.

5 0
4 years ago
What is the slope of the line that cuts through the points (1, -5) and (3, 5)?
PolarNik [594]

Answer:

a. 5

Step-by-step explanation:

To find slope, subtract the y's.

5 - -5 is 10.

Put that on the top of a fraction.

Subtract the x's.

3 - 1 is 2, put that on the bottom of the fraction.

So the slope is 10/2. This simplifies to 5 (because 10÷2 is 5).

The slope is 5.

8 0
2 years ago
Other questions:
  • solve the formula for the indicated variable; formula for the sum of angles of a triangle a+b+c=180 for c please inculde steps i
    11·1 answer
  • HELLLPPPPPPP!!!!!!
    13·2 answers
  • A zoo has 3 mammals for every 5 reptiles. If the zoo has 72 mammals, how many reptiles does it have? [Type your answer as a numb
    13·2 answers
  • How do you skip count 9 Times and end in 300
    12·2 answers
  • O
    9·2 answers
  • Mimi needs eleven 18-inch pieces of rhinestone ribbonShe purchased 5 yards of the ribbon shown at the rightIf Mimi purchases the
    10·2 answers
  • Chyna is taking a test. she completed 15 questions which is 25%. How many total questions are
    13·2 answers
  • MATH TEST DUE TODAY BESTIES
    14·2 answers
  • What is j in -2 + 9j = 10j + 8
    13·2 answers
  • Which equation describes the nth term of the arithmetic sequence {2, -1, -4, -7, ...}
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!