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IceJOKER [234]
3 years ago
10

If qs represents an angle bisector solve for x I need help with this​

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0

Answer:

40.5

Step-by-step explanation:

Since QS is an angle bisector then PQs and SQR are similar. Using the similarity theorem;

PQ/PS = QR/SR

45/20 = x/18

Cross multiply

20x = 45 * 18

20x = 810

x = 810/20

x = 40.5

Hence the value of x is 40.5

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Can any one help me with this problem
katrin [286]

Answer:

37.74 ft

Step-by-step explanation:

An angle and its opposite side are known

Sin (of the angle)= opposite/ hypotenuse

The hypotenuse is equal to the length of the ladder, therefore solve the hypotenuse

Sin (32)= 20/ hypotenuse

hypotenuse= 20/ Sin (32)

Sin (32)=0.5299

hypotenuse= 20/ 0.5299

37.74 ft

Hopefully this helps :)

3 0
3 years ago
HELP ASAP solve the equation using the properties of equality.<br><br><br>89= -5d+9
sergey [27]

Answer:

d = -16

Step-by-step explanation:

Step 1: Write equation

89 = -5d + 9

Step 2: Solve for <em>d</em>

<u>Subtract 9 on both sides:</u> 80 = -5d

<u>Divide both sides by -5:</u> -16 = d

Step 3: Check

<em>Plug in x to verify if it's a solution.</em>

89 = -5(-16) + 9

89 = 80 + 9

89 = 89

8 0
3 years ago
4 over 5x minus 8 equals 3. what is x
ehidna [41]
4/5x-8=3
move -8 to the other side and add
4/5x=3+8
4/5x=11
move 5x to the other side and multiply
4=5x*11
4=55x
4/55=x
8 0
2 years ago
(05.02)A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?
LenaWriter [7]

Answer:

32.5 square feet

Step-by-step explanation:

The formula for a trapezoid is a= 1/2*(b1+b2)*h. B1 and b2 would represent the two bases given and therefore doesn't matter what order you put them in. Plug in all values into the equation and you'll get 1/2*(5+8)*5 then 1/2*(13)*5. Next simplify to get 6.5*5 which then equates to 32.5.

5 0
3 years ago
Solving and graphing systems of equations
dusya [7]
Hey Jackson!

-4x + 3y = 3
y = 2x + 1

Ok so what we need to do is solving y= 2x + 1 for y.

So let's start by using the substitution method :)

Substitute 2x + 1 for y in -4x + 3y = 3

-4x+ 3y = 3

-4x + 3(2x + 1) = 3

-4x + (3)(2x) + (3)(1) = 3

-4x + 6x + 3 = 3

2x + 3 = 3

Subtract 3 on both sides

2x + 3 - 3 = 3 - 3

2x = 0

x = 0/2

x = 0

So now since we find the number for x, we gonna use it to help us find the value for y.

To find y, we need to substitute 0 for x in y = 2x + 1

y = 2x + 1

y = 2(0) + 1

y = 0 + 1

y = 1

Thus,

The answer is: y = 1 and x = 0

How to graph?

You need to go on the thing where they put the numbers. y is located on top which has the positive numbers. So when you get there, make a line that comes from the top right side all the way to the bottom left sides. Remember that y = 1 so the line must pass through 1

I am not good with explanation. So I'll leave the graph down below then you'll see what I am talking about :)

Let me know if you have any questions. As always, it is my pleasure to help students like you!


3 0
3 years ago
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