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Alex17521 [72]
3 years ago
15

What is the measure of

Mathematics
1 answer:
cricket20 [7]3 years ago
7 0

Answer:

m∠ADC = 90°

Step-by-step explanation:

Since, AB║CD and side AD is a transverse intersecting these parallel lines,

m∠DAC + m∠ADC = 180° [Consecutive interior angles]

85° + m∠ADC = 180°

m∠ADC = 180 - 85

              = 95°

Therefore, measure of angle ADC = 95° will be the answer.

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The perimeter of a square plot of land is 64m. What is the area of the plot?
LenKa [72]
A square has 4 equal sides.

Perimeter is the distance around the square, so to find th side length divide the perimeter by 4.

64 / 4 = 16

 The sides of the square are 16 m each.

 Area = L x W

Area = 16 x 16 = 256 square meters

3 0
3 years ago
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"Exponential Functions" Please respond to the following: Explain how exponential functions can model both phenomena that grow an
andrew11 [14]

Answer:

Step-by-step explanation:

Exponential functions grow at the fastest rate because the function increase or decrease in a power form.

for example, "2 raised x "means that when ever the power increase the number gets large and the same for decrements.

example: when x=1 it becomes 2

                         x=2                    4

                         x=3                     8

                        .

                        .

                        x=n                   2∧n which a very big number.

In the same case it decreases dramatically if the power is negative or the number is improper fraction with positive number exponent; like (3/4)∧x,2∧-x  when x is positive real number.

The similarities  of both trend is that the change is the same both decrease or increase in similar scenario.

the difference is already known that one goes up with out bound but the one which decays goes down ward both with limitation and in unlimited cases.

7 0
3 years ago
Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
asambeis [7]

Answer:

(15°, 165°)

Step-by-step explanation:

Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval  [0, 2π]

Given

6 sin2(x) = 3,

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6 sin2(x)/6 = 3/6

sin2(x) = 1/2

2x = sin^-1(0.5)

2x = 30°

x = 30°/2

x = 15°

Since sin is positive in the second quadrant, x2 = 180-15

x = 165°

Hence the values within the interval are 15 and 165.

(15°, 165°)

7 0
3 years ago
Show work please <br>*ill give brainliest<br><br>solve the equation for h.<br>S=LW+WH+HL
NISA [10]
Hey there, Brainiac!

To start this off, let's subtract LW from both sides of the equation.

S - LW = WH + HL

Now, let's use the distributive property on WH+HL.
Using the distributive property, we can change that to H(W+L)

S - LW = H(W+L)

Now, to finish this off, let's divide both sides by (W+L)

\frac{S-LW}{W+L} = H

That's your answer.

Have an awesome day! :)

~collinjun0827, Junior Moderator
3 0
3 years ago
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