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densk [106]
3 years ago
6

Find the missing side

Mathematics
2 answers:
Rama09 [41]3 years ago
8 0

Answer:

6.5

Step-by-step explanation:

{6}^{2}  +  {2.5}^{2}  =  {x}^{2}  \\ 36 + 6.25 =  {x}^{2}  \\ 42.25 =  {x}^{2}  \\  \\ x =  \sqrt{42.25}  \\ x = 6.5

Use the Pythagorean theorem.

It's easy if you use a calculator.

<em>Thanks</em><em>.</em>

vlada-n [284]3 years ago
3 0

The answer you are looking for is 6.5.

To find this answer, you use the equation a² + b² = c², where c is the hypotenuse (the side with x in this case).

Next, fill in a and b with the two values given. Doing so will make the equation say 6² + 2.5² = c².

Now you solve for c.

6² = 36 and 2.5² = 6.25. (36 + 6.25 = c²)

36 + 6.25 = 42.25. (42.25 = c²)

√42.25 = 6.5. (6.5 = c)

Thus meaning 6.5 is the answer. I hope this helps!

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Solve for x<br> 3x + 6 over 3 = 6
Svetradugi [14.3K]

Answer:

X= 4

Step-by-step explanation:

3x+6/3=6

multiply each side by 3 to get rid of the fraction bar

3x+6=6*3

3x +6=18

-6 from both sides

3x= 18-6

3x=12

divide by three on both sides to solve for x

x=12/3

x=4

3 0
2 years ago
Solve for x 19-24. find the measure of the angle indicated in bold for 25-28.
Elodia [21]
N 19) 
angle (21x+6) is equal angle 90°-----> by alternate exterior angles
so
21x+6=90--------> 21x=84----------> x=4°

the answer  N 19) is 4 degrees

N 20)
angle 75 is equal angle 11x-2-----> by corresponding angles
so
11x-2=75-----> 11x=77--------> x=7°

the answer N 20) is x=7 degrees

N 21)
angle 60 is equal angle (8x-4)------> by alternate interior angles
so
8x-4=60-----> 8x=64--------> x=64/8-----> x=8°

the answer N 21) is x=8 degrees

N 22) 
angle (x+139) is equal to angle 132-----> by alternate interior angles
so
x+139=132-------> x=132-139--------> x=-7 °

the answer N 22) is x=-7 degrees

N 23) 
angle (-1+14x) is equal to angle (12x+17)---->  by alternate exterior angles
so
-1+14x=12x+17------> 14x-12x=17+1----> 2x=18----> x=9

the answer N 23) is x=9 degrees

N 24) 
angle (23x-5) is equal to angle (21x+5)----> by corresponding angles
so
23x-5=21x+5-----> 23x-21x=5+5-----> 2x=10-----> x=5

the answer N 24) is x=5 degrees

N 25)
angle (x+96) and angle (x+96)-------> are supplementary angles
so
x+96+x+96=180--------->2x+192=180------>  x=-6°
the angle indicated in bold is (-6+96)=90°

N 26) 
angle (20x+5) and angle (24x-1)-------> are supplementary angles
so
20x+5+24x-1=180------> 44x=176-----> x=4°
the angle indicated in bold is (20*4+5)=85°

N 27)
angle (6x) is equal to angle (5x+10)--------> by corresponding angles
so
6x=5x+10------> 6x-5x=10------> x=10
the angle indicated in bold is (6*10)=60°

N 28)
angle (x+109) and angle (x+89) are supplementary angles
so
x+109+x+89=180----> 2x=-18-------> x=-9
the angle indicated in bold is (x+89)----> -9+89=80°




6 0
3 years ago
choose the equation in point slope form for the line that is perpendicular to the given line and passing through the given point
alexdok [17]

We want to determine the equation in point slope form for the line that is perpendicular to the given line and passing through the point (5.6) .

The equation and the point is;

y=\frac{2}{3}x+9,(5,6)

We know that for two lines to be perpendicular, the product of their slopes should be -1.

Therefore, the slope of the perpendicular should be;

m=-\frac{1}{(\frac{2}{3})}=-\frac{3}{2}

The second condition is that the line must pass through the point (5,6) , to do thid, we write the equation of the line in point slope form which is;

y-y_1=m(x-x_{1_{}})

Inserting all values, we have,

y-6=.-\frac{3}{2}(x-5)

That is the final answer.

6 0
1 year ago
Is (x − 2) a factor of f(x) = x3 − 2x2 + 2x + 3? Explain your reasoning.
Drupady [299]

Answer:

❌

Step-by-step explanation:

If (x-a) is a factor of a polynomial then the polynomial must equal zero .

Here's what I mean :

x - 2 = 0  

x = 2

(2)³-2(2)²+2(2) + 3 = 0 ❌

8 - 8 +4 +3 = 0 ❌

7 = 0 ❌

Hope this helped and have a good day

6 0
2 years ago
A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solv
Vladimir79 [104]
Hey there,

Your question states: <span>A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solve an equation to find the price of each shrub.

So, I will do 94.75 minus 11.50 because he bought nice scrubs so that would be 83.25.

I will do 83.25 divided by 9 because that's the number that person bought, each scrub will end up to be 9.25.

Hope this helps.

~Jurgen</span>
6 0
3 years ago
Read 2 more answers
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