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3 years ago

Find the indicated measure of angle SPT

Mathematics

1 answer:

timofeeve [1]3 years ago

3 0

Answer:

It would be 100 degrees.

Step-by-step explanation:

Sorry no one answered sooner! Hope i helped!

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How do I solve this equation and check the solutions?

IgorLugansk [536]

<h3>SOLUTION :-</h3>

By squaring on both sides :

$: \implies \sf {\big( \sqrt{20 - 8x} \:\big)}^{2} = x^2 \\ \\$

$:\implies \sf {20 - 8x} = {x}^{2} \\ \\$

Solving quadratic equation :

$: \implies\sf{ {x}^{2} + 8x - 20 = 0 } \\ \\$

$: \implies\sf{ {x}^{2} + (10 - 2)x - 20 = 0 } \\ \\$

$: \implies\sf{ {x}^{2} + 10x - 2x - 20 = 0 } \\ \\$

$: \implies\sf{ x(x + 10) - 2(x + 10 )= 0 } \\ \\$

$:\implies\sf{( x + 10 )(x - 2)= 0 } \\ \\$

$: \implies\sf x + 10 = 0 \: or \: x - 2 = 0 \\ \\$

$: \implies\sf x = 0 - 10\: or \: x = 0 + 2\\ \\$

$: \implies \underline{\boxed{ \bf{x = - 10 \: or \: x = 2}}}$

$\huge {\therefore}$ The roots of this equation are -10 and 2.

3 0

3 years ago

Read 2 more answers

A rectangular painting has an area of 105 square inches. The length is 16 inches longer than the width

Dahasolnce [82]

Answer:

Step-by-step explanation:

I wil call the length l and the width w in the following. We are given these informations:

The area of the rectangle is 105. That means l * w = 105. (1)

The length is 16 inches longer that the width. That means l = w + 16. (2)

If we plug the information we get from (2) into the equation (1), we get:

(w + 16) * w = 105

Simplify and you get

w² + 16 w - 105 = 0

With the the quadratic formula we get the results w = 5 and w = -21. The negative result doesn't make sense for our task, we are only interested in positive length and width :).

If we now plug w = 5 back into our infromation (2), we get:

l = 5 + 16 = 21

(To confirm the result plug w = 5 and l = 21 into (1))

8 0

3 years ago

7x + 10y = 36 Y= 2x + 9

gizmo_the_mogwai [7]

Answer:

(-2,5)

Step-by-step explanation:

5 0

3 years ago

(x-1)(x+1)= выполнить умножение

Illusion [34]

Answer:

x^2-1^2

Step-by-step explanation:

formula:

(a-b)(a+b)=a^2-b^2

4 0

2 years ago

A frightened dot ran from −5 to 34. What distance did it cover? If the whole run took the dot 3 minutes, what was its average sp

jonny [76]

Answer:

The average speed of the frightened dot was 13 units per minute.

Step-by-step explanation:

Let's find out the distance covered by the frightened dot, as follows:

Distance = (Distance from - 5 to 0) + (Distance from 0 to 34)

Distance = 5 + 34

Distance = 39

Now, let's find out the average speed of the dot, this way:

Average speed = Distance/Time

Average speed = 39/3

Average speed = 13 units per minute

7 0

3 years ago