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seropon [69]
3 years ago
7

Angles a and b are complementary angles symmetry of angle a is 28° more than the measure of angle b find the missing angle measu

res
Mathematics
1 answer:
scoray [572]3 years ago
7 0

Answer:

31 , 59

Step-by-step explanation:

a = b +28

a + b = 90 {Complementary}

b + 28 + b = 90    {Combine like terms}

2b + 28 = 90       {Subtract 28 form both sides}

       2b  = 90 - 28

       2b = 62      {Divide both sides by 2}

        b = 62/2

       b = 31

a = 31 + 28

a = 59

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kondor19780726 [428]
-2=-x+x square-4
firstly regroup the equation
x square-2x+x-2=0
x square-x-2=0
multiply the first term by the last term.(I.e x square multiply by -2=-2x square)
product of factor = -2x 1
sum of factor= -2x+1(x)= -1
x square -2x+x-2=0
open the bracket:
x(x-2)+1(x-2)=0
x=1 or x=-2
Therefore; x=-1 or x=2


5 0
3 years ago
What is the length of the altitude of the equilateral triangle below?
Mazyrski [523]

ANSWER

The length of the altitude is 3\sqrt{3} units


<u>EXPLANATION</u>

The altitude of a triangle is the vertical height of the triangle.


From the diagram the altitude is a


Method 1: We can use Pythagoras theorem to find a


6^2=a^2+3^2


6^2-3^2=a^2


36-9=a^2


27=a^2


We take the square root of both sides,

\sqrt{27}=a


\sqrt{9\times3}=a


\sqrt{9} \times \sqrt{3}=a


3\sqrt{3}=a


Method 2 Using Trigonometry

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6sin(60\degree)=a


a=6\times \frac{\sqrt{3}} {2}


a=3\sqrt{3}






6 0
3 years ago
Read 2 more answers
What is the value of expression below when c = 5 and d=4 6c²-5d + 8
Alisiya [41]

Answer:138

Step-by-step explanation:

First plug in the c and d values into the expression:

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Remember PEMDAS, so you do 5^2 first getting you 25.

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Continue with PEMDAS and multiply -5 and 4, and that gets you -20.

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Now you simplify the expression to get: 138.

5 0
2 years ago
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a soccer field is a rectangle 90 meters wide and 120 neters long. The coach asks players to run from one coner to the other corn
iren [92.7K]
(120^2)+(90^2)=22500---> sqrt(22500)=150meters
8 0
3 years ago
Explain how to solve for the rate in a simple interest equation if you are given the interest amount, the principal, and the tim
FrozenT [24]

Answer:

divide the interest amount by the product of the principal and time

Step-by-step explanation:

The simple interest formula is I = prt where I is the interest, p is the principal, r is the rate and t is the time (in years). Rewriting this formula so that r is the subject we get r = I / pt. Therefore the answer is divide the interest amount by the product of the principal and time.

8 0
3 years ago
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