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Andru [333]
3 years ago
5

Find the measures of two complementary angles, ÐA and ÐB, if mÐA = (7x + 4)° and mÐB = (4x + 9)°. Measure of angle A = ... Measu

re of angle B =
Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

The measure of angle A is 53 degrees

The measure of angle B is 37 degrees

Step-by-step explanation:

Here in this question, we are interested in calculating the measure of the two angle.

When how angles are complementary, it means the sum of both equals 90 degrees

mathematically ;

(7x + 4) + (4x + 9) = 90

7x + 4x + 4 + 9 = 90

11x + 13 = 90

11x = 90-13

11x = 77

x = 77/11 = 7

The measure of angle A = 7x + 4 = 7(7) + 4 = 49 + 4 = 53 degrees

The measure of B = 4x + 9 = 4(7) + 9 = 28 + 9 = 37 degrees

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What is tan 30°?<br> 60'<br> 2<br> 1<br> 90<br> 30"
Lemur [1.5K]

Answer:

Option F. 1/√3

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 30°

Opposite = 1

Adjacent = √3

The value of Tan 30° can be obtained as illustrated below:

Tan θ = Opposite / Adjacent

Tan 30 = 1/√3

Thus, the value of Tan 30° is 1/√3

8 0
2 years ago
A probability experiment is conducted in which the sample space of the experiment is upper s equals startset 4 comma 5 comma 6 c
olchik [2.2K]
The correct question statement is:

A probability experiment is conducted in which the sample space of the experiment is S = {4,5,6,7,8,9,10,11,12,13,14,15}. Let event E={7,8,9,10,11,12,13,14,15}. Assume each outcome is equally likely. List the outcomes in E^{c}. Find P(E^{c}).

Solution:

Part 1:

E^{c} means compliment of the set E. A compliment of a set can be obtained by finding the difference of the set from the universal set. The universal set is the set which contains all the possible outcomes of the events which is S in this case.

So, compliment of E will be equal to S - E. S - E will result in all those elements of S which are not present in E. So, we can write:

E^{c}=S-E \\  \\ &#10;E^{c}=(4,5,6,7,8,9,10,11,12,13,14,15)-(7,8,9,10,11,12,13,14,15) \\  \\ &#10;E^{c}=(4,5,6)

Thus the set compliment of E will contain the elements {4,5,6}.So

E^{c} = {4,5,6}

Part 2)

P(E^{c}) means probability that if we select any number from the Sample Space S, it will belong the set E compliment.

P(E^{c}) = (Number of Elements in E^{c})/Number of elements in S

Number of elements in set S = n(S) = 12
Number of elements in set E^{c} = n(E^{c})=3

So, 

P(E^{c})= \frac{n(E^{c}) }{n(S)} \\  \\ &#10;P(E^{c})= \frac{3}{12} \\  \\ &#10;P(E^{c})= \frac{1}{4}
7 0
3 years ago
Simplify (4s5t−7−2s−2t4)3. Write your answer using only positive exponents. Evaluate any numerical powers.
schepotkina [342]

Answer:

−21

Step-by-step explanation:

=12s5t−6t4−6s−21

5 0
2 years ago
X-3/18=12/9<br> what is the answer? It is proportions.
olga nikolaevna [1]

Answer:

x=3/2

Step-by-step explanation:

8 0
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AAS postulate is the answer to this question
6 0
2 years ago
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