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3 years ago

Find the measure of

Mathematics

1 answer:

Ann [662]3 years ago

7 0

Find the measure of O?
Line UV is a supplementary line. Line UV is 180 degrees. Angle TU is 30 degrees. Angle WV is 65 degrees. Angle TW (O) is unknown. Add the given angles. 30+65=95 degrees. Subtract the sum of the two angles from 180 degrees. 180-95=85. O is 85 degrees

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PLEASE HELP 15 points for brainliest! What is the solution of n^2-49=0

creativ13 [48]

Answer: The correct option are (1). c, (2). d and (3). (b).

Step-by-step explanation: The calculations are as follows:

(1) We are to find the solution of the following quadratic equation:

$n^2-49=0.$

We have

$n^2-49=0\\\\\Rightarrow n^2=49\\\\\Rightarrow n=\pm7~~~~~\textup{[taking square roots on both sides]}$

Thus, the correct option is (c). $\pm7.$

(2) We are to find the solution of the following quadratic equation:

$x^2+64=0.$

We have

$x^2+64=0\\\\\Rightarrow x^2=-64.$

Since there is no real number whose square is negative, so this equation has no solution.

Thus, the correct option is (d). no solution.

(3) We are given to find the side length of a square with an area of 144x².

Let, 'a' denotes the side length of the square.

Then,

$a^2=144x^2\\\\\Rightarrow a=\pm12x.~~~~~~~\textup{[taking square root on both sides]}$

Since the length of the side cannot be negative, so the side length is 12x.

Thus, (b) is the correct option.

The correct option are (1). c, (2). d and (3). (b).

6 0

3 years ago

Read 2 more answers

For the following trapezoid, h = 5 ft, b = 7.9 ft, and B = 14.6 ft. What is the area?

Bond [772]

Answer:

The area of the trapezoid is 56.25² feet.

Step-by-step explanation:

The formula for the area of a trapezoid is $A=\frac{b+B}{2} h$

A = area (of the trapezoid)
b = base of the trapezoid
B = (other) base of the trapezoid
h = height of the trapezoid

*Note: Trapezoids have 2 bases that are parallel to one another, but are not always the same length.

Using the information given to us, we can simply plug in numbers into the equation. By doing so, we'd get $A=\frac{7.9+14.6}{2} 5$ . By plugging this into a calculator, you'd get $A=56.25$ .

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2 years ago

24 is 120% of what?, i need help so please tell ne the steps!?

taurus [48]

Answer: it’s 20

We have, 120% × x = 24

or,

120/100 × x = 24

Multiplying both sides by 100 and dividing both sides by 120,

we have x = 24 × 100/120

x = 20

If you are using a calculator, simply enter 24×100÷120, which will give you the answer.

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