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Blizzard [7]
3 years ago
11

The measure of angle D is 5 times the measure of angle E. The two angles are supplementary. Find the measure of each angle

Mathematics
1 answer:
steposvetlana [31]3 years ago
4 0
Angle e = x        angle d = 5x    supplementary means they add up to 180
x + 5x =180
6x = 180
6x/6 = 180/6
x = 30
so angle e = 30 and angle d = 5(30) = 150
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H(x)=4x-2 find h(-9)
ki77a [65]

Answer:

34

Step-by-step explanation:

H(x) = 4x-2

H(-9) = 4(9)-2

H(-9) = 36 -2

H(-9) = 34

7 0
3 years ago
Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machin
Schach [20]

Answer:

3 machine

Step-by-step explanation:

It is given that 6 machine each working at the same rate can complete the work in 12 days

We the has to complete in 8 days

Let we need x extra machine to complete the work in 8 days

So total number of machines =x+6

Now according to man work day equation M_1D_1=M_2D_2

6\times 12=(x+6)\times 8

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7 0
3 years ago
Graphing Exponential Function in Exercise ,sketch the graph of the function.See example 3 and 4.
Vlad [161]

Answer:

The attached image shows the graph for the given function.

Step-by-step explanation:

We are given the following function in the question:

y(x) = 2^{x-1}

We have to graph the given function.

Properties of the given function are:

  • It is an exponential function of the form y(x) = a^{x + b}
  • Here, a = 2, b = -1
  • The y-intercept of the given function is (0,0.5)
  • There is no x-intercept.
  • The domain of the given function is all real numbers.
  • The range of given function is (0,\infty)

The attached image shows the graph for the given function.

5 0
4 years ago
Find the value of x in the following triangle​
ozzi

Answer:

x = 124°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x = 180° - (32 + 24)° = 180° - 56° = 124°

4 0
3 years ago
Use the limit theorem and the properties of limits to find the limit.<br> Picture provided below
sashaice [31]

Answer:

b. 1/2

Step-by-step explanation:

lim        (x -3)(x +2)

x-->-∞    ---------------

              2x^2 + x +1

= lim        (x^2 -3x +2x - 6)

x-->-∞    -----------------------

              2x^2 + x +1

= lim        (x^2 -x - 6)

x-->-∞    -----------------------

              2x^2 + x +1

When we plug in x = -∞, we get indeterminate form.

Now we have to use the L'hospital rule.

d/dx (x^2 - x - 6) = 2x -1

d/dx (2x^2 + x + 1) = 4x + 1

Now apply the limit

lim            (2x - 1) / (4x + 1)

x--->-∞

Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.

According to the rule, we get

= 2/4

Which can simplified as 1/2

The answer is 1/2

Hope this will helpful.

Thank you.

3 0
3 years ago
Read 2 more answers
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